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공개 퀴즈 목록 (259개 중 161-180)
| ID | 과목 | 파일명 | 문제 수 | 퀴즈 타입 | 소유자 | 통계 조회/가져오기 |
등록일 | 작업 |
|---|---|---|---|---|---|---|---|---|
| 611 | 🔢 Math |
math_quiz5_3_measures_of_spread
|
25문제 | 🛡️ 교강사 | admin | 👁️ 0 / 📥 0 | 2026-03-11 15:14:40 |
|
| 610 | 🔢 Math |
math_quiz5_2_measures_of_central_tendency
|
25문제 | 🛡️ 교강사 | admin | 👁️ 0 / 📥 0 | 2026-03-11 15:14:40 |
|
| 609 | 🔢 Math |
math_quiz5_1_data_collection_and_organization
|
25문제 | 🛡️ 교강사 | admin | 👁️ 0 / 📥 0 | 2026-03-11 15:14:40 |
|
| 608 | 🔢 Math |
math_quiz4_8_applications_of_functions
|
25문제 | 🛡️ 교강사 | admin | 👁️ 0 / 📥 0 | 2026-03-11 15:14:40 |
|
| 607 | 🔢 Math |
math_quiz4_7_transformations_of_functions
|
25문제 | 🛡️ 교강사 | admin | 👁️ 0 / 📥 0 | 2026-03-11 15:14:40 |
|
| 606 | 🔢 Math |
math_quiz4_6_function_notation
|
25문제 | 🛡️ 교강사 | admin | 👁️ 0 / 📥 0 | 2026-03-11 15:14:40 |
|
| 605 | 🔢 Math |
math_quiz4_5_direct_and_inverse_variation
|
25문제 | 🛡️ 교강사 | admin | 👁️ 0 / 📥 0 | 2026-03-11 15:14:40 |
|
| 604 | 🔢 Math |
math_quiz4_4_slope_and_rate_of_change
|
25문제 | 🛡️ 교강사 | admin | 👁️ 0 / 📥 0 | 2026-03-11 15:14:40 |
|
| 603 | 🔢 Math |
math_quiz4_3_graphing_linear_functions
|
25문제 | 🛡️ 교강사 | admin | 👁️ 0 / 📥 0 | 2026-03-11 15:14:40 |
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| 602 | 🔢 Math |
math_quiz4_2_linear_functions
|
25문제 | 🛡️ 교강사 | admin | 👁️ 0 / 📥 0 | 2026-03-11 15:14:40 |
|
| 601 | 🔢 Math |
math_quiz4_1_introduction_to_functions
|
25문제 | 🛡️ 교강사 | admin | 👁️ 0 / 📥 0 | 2026-03-11 15:14:40 |
|
| 600 | 🔢 Math |
math_quiz3_8_geometric_transformations
|
25문제 | 🛡️ 교강사 | admin | 👁️ 0 / 📥 0 | 2026-03-11 15:14:40 |
|
| 599 | 🔢 Math |
math_quiz3_7_volume_of_3d_shapes
|
25문제 | 🛡️ 교강사 | admin | 👁️ 0 / 📥 0 | 2026-03-11 15:14:40 |
|
| 598 | 🔢 Math |
math_quiz3_6_surface_area
|
25문제 | 🛡️ 교강사 | admin | 👁️ 0 / 📥 0 | 2026-03-11 15:14:40 |
|
| 597 | 🔢 Math |
math_quiz3_5_perimeter_and_area
|
25문제 | 🛡️ 교강사 | admin | 👁️ 0 / 📥 0 | 2026-03-11 15:14:40 |
|
| 596 | 🔢 Math |
math_quiz3_4_circles_and_their_properties
|
25문제 | 🛡️ 교강사 | admin | 👁️ 0 / 📥 0 | 2026-03-11 15:14:40 |
|
| 595 | 🔢 Math |
math_quiz3_3_quadrilaterals_and_polygons
|
25문제 | 🛡️ 교강사 | admin | 👁️ 0 / 📥 0 | 2026-03-11 15:14:40 |
|
| 594 | 🔢 Math |
math_quiz3_2_angles_and_triangles
|
25문제 | 🛡️ 교강사 | admin | 👁️ 0 / 📥 0 | 2026-03-11 15:14:40 |
|
| 593 | 🔢 Math |
math_quiz3_1_basic_geometric_concepts
|
25문제 | 🛡️ 교강사 | admin | 👁️ 0 / 📥 0 | 2026-03-11 15:14:40 |
|
| 592 | 🔢 Math |
math_quiz2_8_applications_of_inequalities
|
25문제 | 🛡️ 교강사 | admin | 👁️ 0 / 📥 0 | 2026-03-11 15:14:40 |
|
📖 math_quiz5_3_measures_of_spread
What is the range of a dataset?
1. The average of all values
2. The highest value minus the lowest value ✓
3. The middle value when data is ordered
4. The most frequently occurring value
What does the Interquartile Range (IQR) represent?
1. The difference between the maximum and minimum values
2. The total number of data points
3. The average distance from the mean
4. The spread of the middle 50% of the data ✓
What is the first quartile (Q1)?
1. The maximum value in the dataset
2. The value below which 75% of the data falls
3. The value below which 50% of the data falls
4. The value below which 25% of the data falls ✓
What is standard deviation?
1. A measure of data spread around the mean ✓
2. The middle value of a dataset
3. The sum of all deviations from the mean
4. The difference between Q3 and Q1
How do you identify outliers using the IQR method?
1. Values below Q1 - 1.5×IQR or above Q3 + 1.5×IQR ✓
2. The highest and lowest values in the dataset
3. Any value more than 2 standard deviations from the mean
4. Any value that appears only once
What does Q2 represent?
1. The mean
2. The mode
3. The range
4. The median ✓
In a box plot, what does the box itself represent?
1. The interquartile range, Q1 to Q3 ✓
2. The range of all data
3. The mean ± one standard deviation
4. The minimum and maximum values
Why is the IQR preferred over the range when analyzing data with outliers?
1. IQR is not affected by extreme values ✓
2. IQR is easier to calculate than range
3. IQR is always larger than the range
4. IQR uses the mean instead of median
Two datasets have the same mean but different standard deviations. What does this tell you?
1. They have the same spread
2. They have the same number of data points
3. One dataset is more spread out from the mean ✓
4. One dataset has outliers and the other doesn't
What does a small standard deviation indicate about a dataset?
1. The data values are spread far apart
2. The mean is very large
3. Data values are clustered close to the mean ✓
4. The dataset has many outliers
In which situation would the range be a misleading measure of spread?
1. When the data is normally distributed
2. When all data values are the same
3. When calculating the median
4. When the dataset has extreme outliers ✓
If Q1 = 20 and Q3 = 40, what percentage of the data falls between these values?
1. 50% ✓
2. 75%
3. 25%
4. 100%
What happens to the range if you remove an outlier from a dataset?
1. The range typically decreases ✓
2. The range stays the same
3. The range always increases
4. The range becomes zero
Why do we square the deviations when calculating variance?
1. To make the calculation easier
2. To find the median
3. To identify outliers
4. To remove negatives and emphasize larger deviations ✓
Find the range of: 12, 18, 22, 25, 30, 35
1. 17
2. 23 ✓
3. 25
4. 35
Data: 5, 10, 15, 20, 25, 30, 35. Given Q1 = 10 and Q3 = 30, calculate the IQR.?
1. 10
2. 15
3. 20 ✓
4. 30
Given Q1 = 40, Q3 = 60, and IQR = 20. Using the IQR method, values below what number are considered outliers?
1. 20
2. 10 ✓
3. 30
4. 70
Data: 8, 10, 12, 14, 16, 18, 20, 22, 24, 100. If Q1 = 11, Q3 = 21, and IQR = 10, is 100 an outlier?
1. Yes, upper fence = 21 + 1.5(10) = 36, and 100 > 36 ✓
2. No, because it's part of the dataset
3. Yes, because it's the maximum value
4. No, because upper fence = 100
Calculate the variance for data: 2, 4, 6. (Mean = 4)
1. 2
2. 2.67
3. 4 ✓
4. 8
If the variance of a dataset is 16, what is the standard deviation?
1. 2
2. 4 ✓
3. 8
4. 256
Two machines produce bolts. Machine A: mean length = 10cm, SD = 0.2cm. Machine B: mean length = 10cm, SD = 1.5cm. Which machine has better quality control?
1. Machine B, because larger SD means more variety
2. Both are equal because they have the same mean
3. Machine A, smaller SD means more consistent output ✓
4. Cannot determine from this information
Dataset A: Range = 50, IQR = 10. Dataset B: Range = 50, IQR = 40. What can you conclude?
1. Dataset A likely has outliers; B is more evenly spread ✓
2. Both datasets are identical
3. Dataset B has more outliers
4. Dataset A is more consistent
A teacher analyzes test scores and finds: Mean = 75, Median = 78, Q1 = 68, Q3 = 85. Three students scored 95, 96, 98. Removing these three high scores, what likely happens?
1. Mean increases more than median
2. Median increases more than mean
3. Mean decreases more than median, IQR stays stable ✓
4. All measures stay the same
A real estate website reports: 'Average home price in this neighborhood: $800,000.' Investigation reveals: Median = $400,000, Q1 = $350,000, Q3 = $450,000, with 3 mansions worth $5M each. Evaluate this claim.?
1. The mean is correct but misleading; median better shows typical prices ✓
2. The average is accurate and representative
3. The average should be higher
4. Median and mean should always be equal
Company A advertises 'consistent delivery times' showing Mean = 30min, SD = 5min. Company B shows Mean = 25min, SD = 15min. You need reliable delivery for an important event. Evaluate and choose.?
1. Choose Company B because it's faster on average
2. Both are equally good
3. Company B, because a larger SD means better service
4. Company A, slower on average but much more reliable (SD=5 vs 15) ✓
📖 math_quiz5_2_measures_of_central_tendency
What is the mean of a dataset?
1. The sum of all values divided by the number of values ✓
2. The most frequently occurring value
3. The middle value when data is ordered
4. The difference between the highest and lowest values
What is the median?
1. The average of all values
2. The highest value in the dataset
3. The most common value
4. The middle value when data is arranged in order ✓
What is the mode of a dataset?
1. The value that appears most frequently ✓
2. The sum of all values
3. The middle value
4. The average value
Which measure of central tendency works with categorical (qualitative) data?
1. Mean only
2. Median only
3. All three measures
4. Mode only ✓
If a dataset has 9 values arranged in order, which position contains the median?
1. 5th position ✓
2. 9th position
3. 4th position
4. Average of 4th and 5th positions
What symbol is commonly used to represent the mean?
1. μ (mu)
2. M (capital M)
3. σ (sigma)
4. x̄ (x-bar) ✓
A dataset is described as 'bimodal'. What does this mean?
1. It has exactly two modes ✓
2. It has no mode
3. It has only two data values
4. The mean equals the median
Why is the median often preferred over the mean when analyzing house prices?
1. The median is easier to calculate
2. The median is always higher than the mean
3. The median is not affected by extreme outliers ✓
4. House prices cannot be averaged
In a positively skewed distribution, how are mean, median, and mode related?
1. Mean = Median = Mode
2. Mode < Median < Mean ✓
3. Mean < Median < Mode
4. Mode < Mean < Median
A dataset of 10 values has all different numbers. What can you say about the mode?
1. The mode is the smallest value
2. The mode is the mean of all values
3. There is no mode ✓
4. All values are modes
What happens to the mean if you add a value that equals the current mean?
1. The mean stays the same ✓
2. The mean increases
3. The mean decreases
4. The mean becomes undefined
For a symmetrical distribution with no outliers, which statement is true?
1. The mode is always the highest value
2. The mean is always higher than the median
3. Mean, median, and mode are approximately equal ✓
4. The median cannot be calculated
Why might the mean be a misleading measure for income in a small company?
1. The mean is always lower than actual salaries
2. Income cannot be averaged mathematically
3. High salaries like the CEO's inflate the mean above typical pay ✓
4. Income data is qualitative, not quantitative
Which measure of central tendency uses all data values in its calculation?
1. Mean only ✓
2. Median only
3. Mode only
4. All three use all values equally
Find the mean of: 15, 20, 25, 30, 35
1. 20
2. 125
3. 30
4. 25 ✓
Find the median of: 7, 12, 15, 20, 25, 30
1. 15
2. 18.5
3. 17.5 ✓
4. 20
Find the mode of: 5, 8, 8, 12, 15, 15, 15, 20
1. 8
2. 12
3. 15 ✓
4. 8 and 15
A dataset has values: 3, 5, 7, 9, 11. If we add the value 21 to this dataset, by approximately how much does the mean increase?
1. Increases by 1
2. Increases by 2.3 ✓
3. Increases by 3
4. Increases by 2
A dataset has values: 2, 4, 6, 8, 10. If we add 20 to this dataset, what happens to the mean?
1. Increases by 2
2. Stays the same
3. Increases by 3
4. Increases by 2.5 ✓
Daily rainfall (mm) for a week: 0, 0, 2, 0, 5, 0, 0. What is the median?
1. 5
2. 1
3. 0 ✓
4. 2
Two students have the same mean test score of 75%. Student A's scores are all between 70-80%. Student B's scores range from 40% to 100%. What does this tell you?
1. Their performance levels are completely identical
2. The mean is incorrect for one of them
3. Student B is a better student
4. Student A is more consistent; Student B varies greatly ✓
A store analyzes daily customer counts: Mon-Fri: 50 customers each day, Sat-Sun: 200 customers each day. Compare the mean and median. What do they tell us?
1. Mean is about 93, Median = 50; weekends raise the mean ✓
2. Mean = Median = 50; They show the same information
3. Median is higher than mean
4. Neither measure is useful for this data
A teacher drops the lowest test score before calculating final grades. How does this policy affect mean vs. median for a student with scores: 45, 78, 82, 85, 88?
1. Both increase, but the mean increases more ✓
2. Both mean and median increase equally
3. Only the mean increases
4. Neither changes
A politician claims 'The average household in our district earns $90,000 per year.' Further investigation shows: median income is $45,000, mode is $38,000, mean is $90,000. Evaluate this claim.?
1. The claim accurately represents the entire district
2. Technically true, but misleading; wealthy outliers inflate the mean ✓
3. The claim is mathematically false
4. Mean, median, and mode should always be the same
A company advertises 'Average employee tenure: 8 years' to show it's a great place to work. You discover: 10 employees have worked there 1-2 years, 2 founders have worked there 35 years each. Evaluate whether the 'average' is meaningful.?
1. The 8-year average accurately represents employee experience
2. The calculation must be wrong
3. The average is misleading; founder outliers inflate it above typical tenure ✓
4. More employees should be hired to fix the average
📖 math_quiz5_1_data_collection_and_organization
What is statistics?
1. The science of collecting, organizing, and analyzing data ✓
2. The study of algebraic equations
3. The study of shapes and angles
4. The measurement of physical objects
Which of the following is an example of quantitative data?
1. Favorite color
2. Country of birth
3. Type of pet
4. Height in centimeters ✓
What is the difference between discrete and continuous data?
1. Discrete data is always negative, continuous data is positive
2. Discrete data is qualitative, continuous data is quantitative
3. Discrete takes specific values only; continuous takes any value in a range ✓
4. There is no difference
Which of the following is qualitative data?
1. Temperature in degrees
2. Number of students in a class
3. Eye color ✓
4. Distance in kilometers
What does a frequency table show?
1. How often each value or category appears in data ✓
2. The relationship between two variables
3. The average of all data values
4. The range of possible values
What is the entire group being studied called in statistics?
1. Population ✓
2. Sample
3. Frequency
4. Variable
What is a subset of the population that is actually studied?
1. Variable
2. Sample ✓
3. Census
4. Bias
Why do researchers often study a sample instead of the entire population?
1. Samples are always more accurate than studying the whole population
2. Studying the entire population is usually too costly and time-consuming ✓
3. Populations are always too small to study
4. Samples give different results that are more interesting
A survey asks: 'Don't you agree that our school lunch is excellent?' What is wrong with this question?
1. It is too short
2. It uses difficult vocabulary
3. Nothing is wrong with it
4. It is a leading question that creates response bias ✓
Which data collection method involves watching and recording what happens without interference?
1. Survey
2. Observation ✓
3. Interview
4. Experiment
What is the main advantage of using existing records for data collection?
1. It saves time and cost since data already exists ✓
2. The data is always perfectly suited to your needs
3. It guarantees no bias
4. It provides more accurate data than new collection
A student wants to know the average study time of all students in their school. They survey only their friends. What type of bias does this represent?
1. Response bias
2. Measurement bias
3. Selection bias ✓
4. Non-response bias
What is the purpose of organizing raw data into a frequency table?
1. To identify patterns and see how often values occur ✓
2. To make the data more difficult to understand
3. To change the values of the data
4. To eliminate outliers
A researcher records the number of cars passing an intersection every hour for a week. The data is: 45, 52, 48, 61, 55, 49, 53. What type of data is this?
1. Qualitative nominal
2. Qualitative ordinal
3. Quantitative discrete ✓
4. Quantitative continuous
Create a frequency table for this data: 3, 5, 3, 4, 5, 3, 4, 3, 5, 4. Which value has the highest frequency?
1. All values have the same frequency
2. Value 3 with frequency 4 ✓
3. Value 5 with frequency 3
4. Value 4 with frequency 3
A fitness app wants to understand user exercise habits. They survey users who opened the app in the past 24 hours. What is the likely problem with this sample?
1. The sample is too small
2. Only active users are sampled, excluding inactive ones ✓
3. The survey method is too expensive
4. There is no problem with this approach
You measure the heights of 20 students and want to create a frequency table with class intervals. Which class intervals would be most appropriate if heights range from 145 cm to 180 cm?
1. 100-200
2. 0-50, 51-100, 101-150, 151-200
3. 145-150, 151-155, 156-160, 161-165, 166-170, 171-175, 176-180 ✓
4. 145-180
A school wants to know if students would use a new library study area. The principal surveys the first 30 students who arrive at school on Monday morning. How could this sampling method be improved?
1. Survey more students to increase sample size, but keep the same time
2. Randomly select students from all grades at different times ✓
3. Only survey students who currently use the library
4. Survey only students with good grades
Temperature readings (in °C) recorded at noon each day: 22.5, 23.1, 21.8, 24.3, 22.9, 23.6, 22.2. Is this discrete or continuous data, and why?
1. Continuous, because the numbers have decimal points
2. Discrete, because there are only 7 measurements
3. Discrete, because temperatures are counted
4. Continuous, because temperature is measured, not counted ✓
A movie streaming service wants to recommend films. Which data would be most useful?
1. The color of users' favorite movie posters - qualitative nominal
2. User ratings (1-5 stars) and viewing history - quantitative data ✓
3. Only movie genres watched - qualitative nominal
4. Only the number of subscribers - quantitative discrete
A company tests a new product by giving it to 100 customers who complained about the old product. After using it, 85% report satisfaction. Why should the company be cautious about these results?
1. The sample of complainers may not represent typical customer reactions ✓
2. The sample size is too small
3. 85% is not a high enough satisfaction rate
4. The test period was too long
Compare two data collection methods for studying teenager screen time: (A) Self-reported survey, (B) App that automatically tracks phone usage. What are the key differences?
1. B gives objective phone data; A covers all screens but relies on memory ✓
2. Method A is always more accurate than Method B
3. Both methods will give exactly the same results
4. Method A is faster and always preferred
A researcher finds that in a survey about exercise, people who don't exercise regularly are less likely to respond. What problem does this create, and how does it affect results?
1. Measurement bias - the tools were inaccurate
2. Response bias - the questions were poorly worded
3. Selection bias - results will overestimate population exercise levels ✓
4. No problem - people who don't respond don't matter
A news website wants to know public opinion on a political issue. They post an online poll that anyone can vote in multiple times. Evaluate this data collection method.?
1. Good method because online polls are always accurate
2. Excellent method because it reaches many people quickly
3. Poor method: selection bias, no random sampling, and allows multiple votes ✓
4. Poor method only because not everyone has internet access
A student designs a survey about school stress: Question 1: 'On a scale of 1-10, rate your stress level.' Question 2: 'What causes you stress?' (open response). Question 3: 'Do you think homework is the biggest problem in schools?' Evaluate and improve this survey.?
1. Perfect survey, no changes needed
2. Good survey but needs more questions
3. All questions show bias and should be removed
4. Q1 and Q2 are good, but Q3 is leading and shows response bias ✓
📖 math_quiz4_8_applications_of_functions
A business has fixed costs of $200 and variable costs of $5 per item. What is the cost function C(x)?
1. C(x) = 200x + 5
2. C(x) = 200 - 5x
3. C(x) = 5x + 200 ✓
4. C(x) = 205x
If revenue R(x) = 12x and cost C(x) = 3x + 90, what is the profit function P(x)?
1. P(x) = 15x + 90
2. P(x) = 9x - 90 ✓
3. P(x) = 9x + 90
4. P(x) = 15x - 90
A car travels at 60 km/h for t hours. What is the distance function?
1. d(t) = t + 60
2. d(t) = 60t ✓
3. d(t) = 60/t
4. d(t) = t/60
Convert 30°C to Fahrenheit using F = (9/5)C + 32
1. 86°F ✓
2. 62°F
3. 98°F
4. 54°F
A town population is P(t) = 5000 + 200t (t in years after 2020). What will the population be in 2030?
1. 8000
2. 6000
3. 9000
4. 7000 ✓
A phone plan costs $30 + $0.10 per minute. How many minutes can you use for $50?
1. 200 minutes ✓
2. 150 minutes
3. 100 minutes
4. 500 minutes
Worker A completes a job in 6 hours. Worker B completes it in 3 hours. Working together, how long to finish?
1. 4.5 hours
2. 1.5 hours
3. 2.5 hours
4. 2 hours ✓
A ball is dropped from 45m. Its height is h(t) = 45 - 5t². When does it hit the ground?
1. t = 4 seconds
2. t = 9 seconds
3. t = 5 seconds
4. t = 3 seconds ✓
A rectangle has perimeter 40cm. If length is L, area A(L) = L(20 - L). What length gives maximum area?
1. 5 cm
2. 15 cm
3. 20 cm
4. 10 cm ✓
Taxi A costs $4 + $1.50/km. Taxi B costs $2 + $2/km. At what distance do they cost the same?
1. 4 km ✓
2. 3 km
3. 5 km
4. 2 km
A plumber charges $50 plus $30/hour. The function is:
1. C(h) = 30h + 50 ✓
2. C(h) = 50h + 30
3. C(h) = 80h
4. C(h) = 50 + 30
If revenue R(x) = 15x and cost C(x) = 5x + 100, what is profit when x = 20?
1. $300
2. $200
3. $400
4. $100 ✓
Temperature is T(h) = 20 + 2h. What was initial temperature?
1. 2°C
2. 18°C
3. 20°C ✓
4. 22°C
A car rental costs $40/day plus $0.25/km. For 3 days and 200 km, total cost is:
1. $120
2. $50
3. $170 ✓
4. $200
Population P(t) = 1000 + 50t. When will it reach 1500?
1. t = 5
2. t = 10 ✓
3. t = 15
4. t = 20
A tank has 500L and drains at 25L/min. Function for volume:?
1. V(t) = 500 + 25t
2. V(t) = 500 - 25t ✓
3. V(t) = 25t - 500
4. V(t) = 525t
Profit P(x) = 12x - 100. Break-even occurs when:?
1. x = 12
2. x = 25/3 ✓
3. x = 0
4. x = 100
Distance d(t) = 60t. How far in 2.5 hours?
1. 60 km
2. 150 km ✓
3. 240 km
4. 120 km
Celsius to Fahrenheit: F(C) = (9/5)C + 32. What is F(25)?
1. 45°F
2. 57°F
3. 77°F ✓
4. 97°F
A spring stretches 2cm for each 100g. Function for stretch s(m) in cm:?
1. s(m) = m/50 ✓
2. s(m) = 2m
3. s(m) = 100m
4. s(m) = m/100
Store has fixed cost $2000 and variable cost $15/item. For 100 items, total cost:?
1. $1500
2. $2000
3. $3500 ✓
4. $17000
Height of ball: h(t) = -5t² + 20t + 2. Initial height:?
1. 0 m
2. 22 m
3. 20 m
4. 2 m ✓
Printer charges $25 setup + $0.50/page. For 200 pages:?
1. $125 ✓
2. $100
3. $25
4. $150
If f(x) = 2x represents doubling, what does f(f(x)) represent?
1. Squaring
2. Adding 4
3. Quadrupling (×4) ✓
4. Multiplying by 8
Water flows at 15 L/min into empty tank. V(t) = 15t. When will it have 300L?
1. 5 min
2. 10 min
3. 15 min
4. 20 min ✓
📖 math_quiz4_7_transformations_of_functions
How does the graph of f(x) + 3 compare to f(x)?
1. Shifted left 3 units
2. Shifted right 3 units
3. Shifted up 3 units ✓
4. Shifted down 3 units
How does the graph of f(x - 2) compare to f(x)?
1. Shifted left 2 units
2. Shifted down 2 units
3. Shifted up 2 units
4. Shifted right 2 units ✓
What transformation does -f(x) represent?
1. Reflection over x-axis ✓
2. Reflection over y-axis
3. Vertical stretch
4. Horizontal shift
What transformation does f(-x) represent?
1. Horizontal shift left
2. Reflection over x-axis
3. Reflection over y-axis ✓
4. Vertical compression
How does 3f(x) compare to f(x)?
1. Vertically stretched ✓
2. Shifted up 3 units
3. Horizontally stretched
4. Reflected over x-axis
The function g(x) = (x + 4)² - 1 is f(x) = x² after which transformations?
1. Left 4, down 1 ✓
2. Right 4, up 1
3. Right 4, down 1
4. Left 4, up 1
If point (2, 5) is on f(x), where is it on f(x) + 3?
1. (2, 2)
2. (5, 5)
3. (2, 8) ✓
4. (-1, 5)
If point (3, 7) is on f(x), where is it on f(x - 1)?
1. (4, 7) ✓
2. (2, 7)
3. (3, 6)
4. (3, 8)
Which function represents a vertical compression of f(x)?
1. g(x) = 2f(x)
2. g(x) = f(2x)
3. g(x) = -f(x)
4. g(x) = 0.5f(x) ✓
The transformation from y = x² to y = -(x - 2)² + 3 includes:?
1. Only reflection and vertical shift
2. Reflection, horizontal shift right 2, vertical shift up 3 ✓
3. Reflection, horizontal shift left 2, vertical shift down 3
4. Only horizontal and vertical shifts
How does f(x) - 5 transform the graph of f(x)?
1. Shift left 5
2. Shift up 5
3. Shift down 5 ✓
4. Shift right 5
The graph of f(x + 3) is f(x) shifted:?
1. Up 3
2. Right 3
3. Down 3
4. Left 3 ✓
What does 2f(x) do to the graph?
1. Horizontal stretch by 2
2. Vertical stretch by 2 ✓
3. Shift up 2
4. Reflect over x-axis
f(-x) represents a reflection over:
1. y-axis ✓
2. Origin
3. x-axis
4. Line y=x
How does -f(x) transform the graph?
1. Reflect over x-axis ✓
2. Reflect over y-axis
3. Shift down
4. Vertical stretch
The graph of f(x - 4) + 2 is shifted:?
1. Right 4, down 2
2. Left 4, up 2
3. Left 4, down 2
4. Right 4, up 2 ✓
If (3, 5) is on f(x), where is it on f(x) + 3?
1. (0, 5)
2. (6, 5)
3. (3, 2)
4. (3, 8) ✓
Which transformation makes a graph narrower?
1. f(x/2)
2. f(x) + 2
3. f(2x) ✓
4. 2f(x)
The transformation from y = x² to y = -(x-1)² + 3 includes:?
1. Stretch and reflection
2. Only reflection
3. Only shifts
4. Reflection and shifts ✓
If point (2, 7) is on f(x), where is it on f(x - 5)?
1. (2, 12)
2. (-3, 7)
3. (7, 7) ✓
4. (2, 2)
How does 0.5f(x) affect the graph?
1. Vertical stretch
2. Vertical compression ✓
3. Horizontal compression
4. Horizontal stretch
The graph of f(x + 2) - 3 compared to f(x):?
1. Right 2, down 3
2. Right 2, up 3
3. Left 2, up 3
4. Left 2, down 3 ✓
Which transformation changes f(x) = x² to open downward?
1. -f(x) ✓
2. f(-x)
3. f(x) + 1
4. f(x - 1)
If f(x) = x + 1, what is the transformation to get f(x) = x - 3?
1. Shift left 4
2. Shift right 4
3. Shift down 4 ✓
4. Shift up 4
The vertex of y = (x-3)² + 5 is at:?
1. (-3, -5)
2. (3, 5) ✓
3. (3, -5)
4. (-3, 5)
📖 math_quiz4_6_function_notation
What does f(x) represent?
1. f times x
2. f divided by x
3. f plus x
4. The output when input is x ✓
If f(x) = 3x + 2, what is f(4)?
1. 10
2. 14 ✓
3. 12
4. 16
Given g(x) = x² - 5, find g(-3).
1. -4
2. 4 ✓
3. 14
4. -14
What is the domain of f(x) = 2x + 7?
1. x ≠ 0
2. x ≥ 0
3. All real numbers ✓
4. x > 0
What is the domain of h(x) = 1/(x - 3)?
1. x ≠ 0
2. x ≠ 3 ✓
3. x ≠ -3
4. All real numbers
If f(x) = 4x - 1, for what value of x is f(x) = 11?
1. x = 3 ✓
2. x = 2
3. x = 4
4. x = 5
Given f(x) = 2x and g(x) = x + 5, what is (f + g)(x)?
1. 3x + 5 ✓
2. 2x² + 5
3. 2x + 5
4. x + 7
If f(x) = x + 1 and g(x) = 2x, what is f(g(3))?
1. 6
2. 9
3. 8
4. 7 ✓
Which statement about function notation is FALSE?
1. f(x) represents the output
2. f(x) means f times x ✓
3. x is the input variable
4. f is the name of the function
A function C(n) = 20 + 5n represents cost. What does C(10) = 70 mean?
1. Base cost is $70
2. 70 items cost $10
3. Cost increases by $70
4. 10 items cost $70 ✓
If f(x) = 2x - 3, find f(-1).
1. -1
2. 1
3. -5 ✓
4. 5
Given g(x) = x² + 2x, find g(3).
1. 9
2. 11
3. 18
4. 15 ✓
If h(x) = 5, what is h(100)?
1. 500
2. 0
3. 100
4. 5 ✓
What is the domain of f(x) = 1/(x-3)?
1. All real numbers
2. x ≠ 3 ✓
3. x > 3
4. x ≥ 0
If f(x) = 3x + 1, solve for x when f(x) = 10.
1. x = 3 ✓
2. x = 4
3. x = 11/3
4. x = 30
Given f(x) = 2x and g(x) = x - 5, find f(g(7)).
1. 14
2. 4 ✓
3. 9
4. 19
If f(x) = x² - 4, for what values of x is f(x) = 0?
1. x = 0
2. x = ±2 ✓
3. x = 4
4. x = ±4
What does f(a) + f(b) equal if f(x) = 3x?
1. f(ab)
2. 3ab
3. 3(a+b) ✓
4. f(a+b)
If f(x) = |x|, what is f(-7)?
1. 0
2. 7 ✓
3. -7
4. 14
Given h(t) = t² + t, find h(0).
1. -1
2. 0 ✓
3. 1
4. 2
If f(x) = 4x - 2, what is f(x+1)?
1. 4x + 4
2. 4x - 1
3. 4x + 2 ✓
4. 4x - 2
The range of f(x) = x² for x ≥ 0 is:
1. y > 0
2. y ≤ 0
3. All real numbers
4. y ≥ 0 ✓
If g(x) = 1/x, what is g(1/2)?
1. 1
2. 2 ✓
3. 1/2
4. 4
For f(x) = 5 - x, find the value of a if f(a) = a.
1. No solution
2. a = 0
3. a = 5
4. a = 2.5 ✓
If f(x) = x³, which is larger: f(2) or f(-2)?
1. Cannot determine
2. f(2) ✓
3. Equal
4. f(-2)
📖 math_quiz4_5_direct_and_inverse_variation
If y varies directly with x, which equation represents this relationship?
1. y = k/x
2. xy = k
3. y = k - x
4. y = kx ✓
If y varies inversely with x, which equation represents this relationship?
1. y = k/x ✓
2. y = kx
3. y = k + x
4. y/x = k
y varies directly with x. If y = 24 when x = 6, what is the constant k?
1. 18
2. 30
3. 4 ✓
4. 144
y varies inversely with x. If y = 10 when x = 4, what is the constant k?
1. 2.5
2. 6
3. 40 ✓
4. 14
Which situation represents direct variation?
1. More workers, less time to finish
2. Speed when distance is fixed
3. Width when area is constant
4. Distance traveled at constant speed ✓
Which situation represents inverse variation?
1. Cost of apples as you buy more
2. Perimeter of a square as side increases
3. Time to complete a job with more workers ✓
4. Total pay with more hours worked
y varies directly with x, and y = 45 when x = 9. What is y when x = 15?
1. 105
2. 60
3. 90
4. 75 ✓
y varies inversely with x, and y = 8 when x = 6. What is y when x = 12?
1. 4 ✓
2. 2
3. 16
4. 48
What is the graph of direct variation y = kx?
1. Parabola
2. Line through origin ✓
3. Hyperbola
4. Horizontal line
It takes 6 workers 10 days to complete a project. How many days will it take 15 workers?
1. 4 days ✓
2. 6 days
3. 8 days
4. 25 days
y varies directly with x. If y = 20 when x = 4, find k.
1. 4
2. 5 ✓
3. 16
4. 80
y varies inversely with x. If y = 6 when x = 8, find k.
1. 48 ✓
2. 14
3. 2
4. 3/4
Which equation shows direct variation?
1. y = 5x ✓
2. y = 3x + 2
3. y = 10/x
4. xy = 12
If y varies directly with x and y = 30 when x = 6, find y when x = 10.
1. 36
2. 50 ✓
3. 60
4. 180
If y varies inversely with x and y = 12 when x = 5, find y when x = 10.
1. 120
2. 24
3. 6 ✓
4. 60
Which represents inverse variation?
1. Distance = speed × time
2. Cost = price × quantity
3. Area = length × width
4. Speed = distance / time ✓
y varies directly with x². If y = 48 when x = 4, find y when x = 6.?
1. 72
2. 108 ✓
3. 144
4. 216
5 workers finish a job in 12 days. How long for 10 workers? (inverse variation)?
1. 60 days
2. 24 days
3. 30 days
4. 6 days ✓
Which graph represents direct variation?
1. Horizontal line
2. Parabola
3. Hyperbola
4. Line through origin ✓
The circumference C of a circle varies directly with diameter d. What is the constant k?
1. 2
2. π²
3. π ✓
4. 2π
If xy = 24, what happens to y when x doubles?
1. y doubles
2. y stays same
3. y is halved ✓
4. y quadruples
y varies directly with x. The graph passes through (3, 12). What is the equation?
1. y = 4x ✓
2. y = 3x
3. y = 12x
4. y = x + 9
The time t to complete a trip varies inversely with speed s. If t = 4 hours at s = 60 km/h, find t at s = 80 km/h.
1. 320 hours
2. 5 hours
3. 5.33 hours
4. 3 hours ✓
Which situation does NOT represent direct variation?
1. Distance = constant speed × time
2. Perimeter of square = 4 × side
3. Earnings = hourly rate × hours
4. Workers × time = constant work ✓
y varies inversely with x. If the graph passes through (2, 15), what is k?
1. 30 ✓
2. 13
3. 17
4. 7.5
📖 math_quiz4_4_slope_and_rate_of_change
What is the slope of the line passing through points (2, 5) and (6, 13)?
1. 2 ✓
2. 4
3. 8
4. 1/2
A line passes through (-3, 7) and (1, -1). What is its slope?
1. 2
2. 1/2
3. -2 ✓
4. -1/2
Which type of slope does a line have if it rises from left to right?
1. Negative
2. Positive ✓
3. Zero
4. Undefined
A car travels 300 km in 5 hours. What is the rate (slope) in km/h?
1. 50
2. 75
3. 60 ✓
4. 70
Lines with the same slope are:
1. Parallel ✓
2. Intersecting at origin
3. Perpendicular
4. Horizontal
If a line has slope 3, what is the slope of a line perpendicular to it?
1. -3
2. -1/3 ✓
3. 1/3
4. 3
What is the slope of a horizontal line?
1. Undefined
2. -1
3. 1
4. 0 ✓
A temperature rises from 10°C at 8 AM to 22°C at 2 PM (6 hours). What is the rate of change per hour?
1. 2°C/hr ✓
2. 1°C/hr
3. 3°C/hr
4. 4°C/hr
Which statement about slope is FALSE?
1. Slope measures steepness of a line
2. Slope can be negative
3. Slope represents rate of change
4. Vertical lines have slope 0 ✓
A line has slope -2/5. For every 5 units moved to the right, how does y change?
1. Increases by 2
2. Decreases by 5
3. Decreases by 2 ✓
4. Increases by 5
Find the slope between (1, 3) and (5, 11)
1. 2 ✓
2. 3
3. 4
4. 8
A car travels 150 km in 3 hours. What is the rate (slope)?
1. 150 km/h
2. 50 km/h ✓
3. 100 km/h
4. 450 km/h
Which slope is steepest?
1. m = 2
2. m = -5 ✓
3. m = 0.5
4. m = 3
The slope between (2, y) and (6, 10) is 3. Find y.
1. 2
2. 0
3. -2 ✓
4. 1
Temperature rises from 10°C to 30°C in 4 hours. What is the rate of change?
1. 5°C/hr ✓
2. 20°C/hr
3. 10°C/hr
4. 2.5°C/hr
Lines with slopes 4 and -1/4 are:
1. Perpendicular ✓
2. Neither
3. Parallel
4. Same line
A line has negative slope. Which statement is true?
1. As x increases, y increases
2. As x increases, y decreases ✓
3. y never changes
4. x never changes
What is the slope of a vertical line?
1. 0
2. 1
3. Undefined ✓
4. Infinite
Population grows from 2000 to 2500 in 5 years. What is the annual growth rate?
1. 250 people/year
2. 100 people/year ✓
3. 500 people/year
4. 2500 people/year
The slope between (a, 5) and (a+3, 11) is:
1. 2 ✓
2. 3
3. 6
4. Cannot determine without a
Which scenario represents zero slope?
1. Car accelerating
2. Height decreasing
3. Price increasing
4. Temperature constant ✓
Two parallel lines have slopes m1 and m2. Which is true?
1. m1 = m2 ✓
2. m1 × m2 = -1
3. m1 + m2 = 0
4. m1 = -m2
A plane descends from 10,000 m to 2,000 m in 20 minutes. What is the rate?
1. 400 m/min
2. -200 m/min
3. -400 m/min ✓
4. 200 m/min
If a line passes through (0, b) and (1, b+m), what is its slope?
1. m ✓
2. b
3. 1
4. b+m
A road has a grade of 8%. What does this mean for slope?
1. Slope = 0.08 ✓
2. Slope = 0.8
3. Slope = 1/8
4. Slope = 8
📖 math_quiz4_3_graphing_linear_functions
What is the first step in graphing y = 2x + 3 using the slope-intercept method?
1. Find the x-intercept
2. Calculate the slope
3. Make a table of values
4. Plot the point (0, 3) ✓
For the line y = -4x + 1, starting from the y-intercept, which direction should you move to plot the next point?
1. Up 4, right 1
2. Up 1, right 4
3. Down 4, right 1 ✓
4. Down 1, right 4
What is the y-intercept of the line passing through (0, -5) and (2, 3)?
1. 0
2. 3
3. 2
4. -5 ✓
To graph 3x + 2y = 6 using intercepts, what is the x-intercept?
1. (2, 0) ✓
2. (3, 0)
3. (6, 0)
4. (0, 3)
Which equation represents a horizontal line?
1. x = 4
2. y = 4 ✓
3. y = 4x
4. x + y = 4
A line has slope 1/3 and y-intercept -2. After plotting (0, -2), where is the next point?
1. (3, -1) ✓
2. (1, -1)
3. (1, -5)
4. (3, 1)
What is the x-intercept of y = 5x - 10?
1. (0, -10)
2. (-2, 0)
3. (2, 0) ✓
4. (10, 0)
Which line is NOT a function?
1. x = 5 ✓
2. y = 2x + 1
3. y = -3
4. y = 0
A line passes through (0, 6) and (3, 0). What is its slope?
1. 2
2. 1/2
3. -2 ✓
4. -1/2
Water drains from a tank. Initially 400L, after 10 min 300L remains. What is the rate of drainage?
1. 10 L/min
2. -30 L/min
3. 30 L/min
4. -10 L/min ✓
To graph y = 2x - 1, which point is on the line?
1. (0, 1)
2. (1, 0)
3. (0, -1) ✓
4. (-1, 0)
A line passes through (1, 2) and (3, 6). What is the slope?
1. 2 ✓
2. 4
3. 1/2
4. 1
Which equation has a graph passing through the origin?
1. y = x + 5
2. y = 3x ✓
3. y = x - 2
4. y = 5
Where does the line 2x + y = 6 cross the y-axis?
1. (0, 3)
2. (3, 0)
3. (6, 0)
4. (0, 6) ✓
A line has intercepts at (4, 0) and (0, -2). What is its slope?
1. 1/2 ✓
2. -1/2
3. 2
4. -2
Which line is perpendicular to y = 2x + 3?
1. y = 2x - 5
2. y = -0.5x + 4 ✓
3. y = -2x + 1
4. y = 0.5x - 2
How many points do you need to draw a straight line?
1. At least 1
2. At least 2 ✓
3. At least 3
4. Infinite
A line slopes downward from left to right. Its slope is:
1. Positive
2. Undefined
3. Negative ✓
4. Zero
If a line has equation x = 5, what does its graph look like?
1. Vertical line ✓
2. Horizontal line
3. Diagonal line
4. No graph
What is the x-intercept of 3x - 2y = 12?
1. (4, 0) ✓
2. (0, -6)
3. (0, 4)
4. (-6, 0)
Two lines with slopes 3 and -1/3 are:
1. Parallel
2. Same line
3. Neither
4. Perpendicular ✓
Which point is NOT on the line y = 4x - 3?
1. (0, -3)
2. (3, 8) ✓
3. (2, 5)
4. (1, 1)
A line with equation y = -x + 5 passes through which quadrants?
1. I, II, III
2. I, II, IV ✓
3. II, III, IV
4. I, III, IV
If you move 3 units right and 6 units up from (1, 2), what is the slope of this movement?
1. 6
2. 1/2
3. 3
4. 2 ✓
What transformation changes y = 2x to y = 2x + 4?
1. Shift up 4 ✓
2. Shift right 4
3. Shift down 4
4. Shift left 4
📖 math_quiz4_2_linear_functions
What is the slope of the linear function y = 5x - 3?
1. 2
2. -3
3. 5 ✓
4. 8
What is the y-intercept of f(x) = -2x + 7?
1. 7 ✓
2. -2
3. 2
4. -7
If f(x) = 4x - 5, what is f(3)?
1. 12
2. 7 ✓
3. 17
4. -17
Which of the following represents a linear function with a negative slope?
1. y = 3x + 2
2. y = x² - 2
3. y = -4x + 1 ✓
4. y = 5
Write the linear function with slope 6 and y-intercept -4.
1. y = -4x + 6
2. y = 6x - 4 ✓
3. y = 6x + 4
4. y = -6x + 4
A line passes through (0, 8). What is the y-intercept?
1. Depends on the slope
2. 0
3. Cannot determine
4. 8 ✓
If g(x) = -3x + 12, for what value of x is g(x) = 0?
1. -4
2. 3
3. 4 ✓
4. 12
A taxi charges $4 base fare plus $2 per kilometer. Which function represents the cost C(k)?
1. C(k) = 2k + 4 ✓
2. C(k) = 4k + 2
3. C(k) = 6k
4. C(k) = 4 + 2
Which linear function has a slope of zero?
1. y = 0
2. x = 3
3. y = x
4. y = 5 ✓
Given the table with (0,3), (1,7), (2,11), what is the linear function?
1. f(x) = 4x - 3
2. f(x) = 3x + 4
3. f(x) = 7x + 3
4. f(x) = 4x + 3 ✓
A line has equation y = -3x + 7. What is the y-intercept?
1. 3
2. 7 ✓
3. -3
4. -7
What is the slope of y = 4 - 2x?
1. -2 ✓
2. 2
3. 4
4. -4
Which function has a negative slope?
1. y = -x + 5 ✓
2. y = 3x + 1
3. y = 5
4. y = x
If f(x) = 2x + 3, what is f(5)?
1. 8
2. 10
3. 11
4. 13 ✓
A line passes through (0, 4) with slope 3. What is its equation?
1. y = x + 7
2. y = 4x + 3
3. y = 3x + 4 ✓
4. y = 3x - 4
What is the slope of a horizontal line?
1. 1
2. 0 ✓
3. -1
4. Undefined
Which line is steeper: y = 5x + 1 or y = 2x + 1?
1. Same steepness
2. y = 2x + 1
3. y = 5x + 1 ✓
4. Cannot determine
If g(x) = -x + 10, find g(10)?
1. 0 ✓
2. 10
3. -10
4. 20
What is the x-intercept of y = 3x - 9?
1. (0, -9)
2. (3, 0) ✓
3. (-3, 0)
4. (9, 0)
Two lines are parallel if they have:?
1. Same y-intercept
2. Same equation
3. Same slope ✓
4. Same x-intercept
Which equation represents a decreasing function?
1. y = 5x
2. y = 8
3. y = x + 3
4. y = -2x + 1 ✓
If h(x) = 3x - 6, for what x is h(x) = 0?
1. x = 0
2. x = 3
3. x = 2 ✓
4. x = 6
A line has slope 0.5 and passes through (2, 3). What is y when x = 6?
1. 6
2. 4
3. 3
4. 5 ✓
What does the slope represent in a distance-time graph?
1. Speed ✓
2. Time
3. Distance
4. Acceleration
Which function has the same slope as y = 4x - 1?
1. y = 2x - 1
2. y = -4x + 1
3. y = 4x + 5 ✓
4. y = 4 + x
📖 math_quiz4_1_introduction_to_functions
Which of the following relations is a function?
1. {(1,1), (2,1), (2,2)}
2. {(1,2), (2,3), (3,4)} ✓
3. {(1,2), (1,3), (2,4)}
4. {(0,1), (0,2), (1,3)}
What is the domain of the function {(2,5), (3,7), (4,9), (5,11)}?
1. {5, 7, 9, 11}
2. {x | x > 2}
3. {2, 3, 4, 5, 7, 9, 11}
4. {2, 3, 4, 5} ✓
If f(x) = 3x - 5, what is f(4)?
1. 12
2. 7 ✓
3. 17
4. -17
Which statement is true about functions?
1. Each input can have multiple outputs
2. Each input must have exactly one output ✓
3. Inputs and outputs must be different numbers
4. Each output must have exactly one input
What is the range of {(1,3), (2,3), (3,5), (4,7)}?
1. {1, 2, 3, 4}
2. {3, 5, 7} ✓
3. {1, 2, 3, 4, 5, 7}
4. {3, 3, 5, 7}
If g(x) = x² - 4, what is g(-3)?
1. -13
2. -7
3. 5 ✓
4. 13
A taxi charges $2.50 plus $0.75 per kilometer. Which function represents the cost C(k) for k kilometers?
1. C(k) = 2.50k + 0.75
2. C(k) = 0.75k + 2.50 ✓
3. C(k) = 2.50 + 0.75 + k
4. C(k) = (2.50 + 0.75)k
Which of the following is NOT a function?
1. y = 2x + 1
2. y = |x|
3. y = x²
4. x = y² ✓
If h(x) = 2x + 7, and h(a) = 15, what is the value of a?
1. 4 ✓
2. 8
3. 11
4. 22
The area of a square is given by A(s) = s², where s is the side length. What is A(6)?
1. 12
2. 24
3. 72
4. 36 ✓
Does the relation {(3,2), (4,2), (5,3)} represent a function?
1. No
2. Need more information
3. Cannot determine
4. Yes ✓
Which mapping diagram shows a function?
1. One-to-many
2. Many-to-many
3. Many-to-one ✓
4. All of the above
If f(x) = 5 - 2x, what is f(0)?
1. 3
2. -5
3. 0
4. 5 ✓
What is the domain of f(x) = 2x + 3 for all real numbers?
1. x ≥ 0
2. x > 0
3. x ≠ 0
4. All real numbers ✓
If h(x) = x/4, what is h(12)?
1. 48
2. 4
3. 8
4. 3 ✓
Which set represents the range of {(-1,4), (0,4), (1,5), (2,6)}?
1. {-1, 0, 1, 2}
2. {-1, 0, 1, 2, 4, 5, 6}
3. {4, 4, 5, 6}
4. {4, 5, 6} ✓
If f(x) = x² + 1, what is f(-2)?
1. -3
2. 3
3. 5 ✓
4. -5
A function rule is "multiply by 3 and add 2". What is the output for input 5?
1. 17 ✓
2. 15
3. 19
4. 13
Which vertical line test result indicates a function?
1. Line crosses graph once
2. Both B and C ✓
3. Line never crosses
4. Line crosses graph twice
If g(x) = 10 - x, for what value of x is g(x) = 3?
1. 3
2. 13
3. 7 ✓
4. -7
The perimeter of a square is P(s) = 4s. What is P(9)?
1. 13
2. 36 ✓
3. 18
4. 81
Which relation is NOT a function?
1. y = x + 5
2. y = |x|
3. y = x²
4. x² + y² = 25 ✓
If f(x) = 3x and g(x) = x + 4, what is f(2) + g(2)?
1. 12 ✓
2. 10
3. 8
4. 2
The cost of t-shirts is C(n) = 12n. How much for 5 t-shirts?
1. $17
2. $60 ✓
3. $12
4. $120
What is the independent variable in distance = speed × time?
1. Distance
2. Speed
3. Speed and time ✓
4. Time
📖 math_quiz3_8_geometric_transformations
A transformation that slides a shape is called:
1. Rotation
2. Translation ✓
3. Reflection
4. Dilation
A transformation that flips a shape over a line is called:
1. Translation
2. Rotation
3. Reflection ✓
4. Dilation
A transformation that turns a shape around a point is called:
1. Translation
2. Dilation
3. Reflection
4. Rotation ✓
A transformation that changes the size of a shape is called:
1. Translation
2. Dilation ✓
3. Rotation
4. Reflection
Translate (3, 5) by vector (2, -3):?
1. (1, 8)
2. (6, 8)
3. (5, 8)
4. (5, 2) ✓
Reflect (4, 7) over the x-axis:
1. (-4, 7)
2. (4, -7) ✓
3. (-4, -7)
4. (7, 4)
Reflect (6, 2) over the y-axis:
1. (6, -2)
2. (-6, 2) ✓
3. (-6, -2)
4. (2, 6)
Reflect (3, 5) over the line y=x:?
1. (-3, 5)
2. (5, 3) ✓
3. (3, -5)
4. (-5, -3)
Rotate (4, 2) by 90° counterclockwise about origin:?
1. (-4, -2)
2. (2, -4)
3. (-2, 4) ✓
4. (4, -2)
Rotate (5, 3) by 180° about origin:?
1. (-5, 3)
2. (-3, 5)
3. (-5, -3) ✓
4. (5, -3)
Dilate (3, 6) by scale factor 2 from origin:?
1. (5, 8)
2. (1.5, 3)
3. (6, 12) ✓
4. (6, 8)
Which transformation preserves both size and orientation?
1. Rotation
2. Reflection
3. Dilation
4. Translation ✓
Which transformation does NOT preserve size?
1. Translation
2. Reflection
3. Rotation
4. Dilation ✓
Two shapes with same size and shape are:
1. Congruent ✓
2. Similar
3. Symmetric
4. Parallel
Two shapes with same shape but different size are:
1. Congruent
2. Parallel
3. Similar ✓
4. Symmetric
How many lines of symmetry does a square have?
1. 2
2. 3
3. 4 ✓
4. 5
How many lines of symmetry does an equilateral triangle have?
1. Infinite
2. 2
3. 1
4. 3 ✓
The order of rotational symmetry of a square is:
1. 2
2. 3
3. 4 ✓
4. 8
Two similar triangles have sides 3, 4, 5 and 6, 8, 10. The scale factor is:
1. 2 ✓
2. 1/2
3. 3
4. 4
A shape is dilated by scale factor 3. The area is multiplied by:
1. 9 ✓
2. 6
3. 27
4. 3
Point (2, 3) is reflected over x-axis then translated by (1, 2). Final position?
1. (3, 1)
2. (3, 5)
3. (3, -1) ✓
4. (1, -1)
Which has infinite lines of symmetry?
1. Square
2. Triangle
3. Circle ✓
4. Rectangle
A rectangle has rotational symmetry of order:?
1. 4
2. 1
3. 3
4. 2 ✓
Rotate (3, 0) by 270° CCW (or 90° CW) about origin:?
1. (-3, 0)
2. (0, 3)
3. (0, -3) ✓
4. (3, 0)
Two similar shapes have perimeter ratio 2:3. Area ratio is:
1. 2:3
2. 4:9 ✓
3. 8:27
4. 4:6
📖 math_quiz3_7_volume_of_3d_shapes
What is volume?
1. Area of outer faces
2. Space inside a 3D shape ✓
3. Perimeter of shape
4. Surface area
What units is volume measured in?
1. Linear units
2. Degrees
3. Square units
4. Cubic units ✓
What is the volume formula for a cube?
1. V = 4s³
2. V = 6s²
3. V = s³ ✓
4. V = 3s
Find the volume of a cube with side 5 cm
1. 25 cm³
2. 75 cm³
3. 150 cm³
4. 125 cm³ ✓
What is the volume formula for a rectangular prism?
1. V = 2(lw + lh + wh)
2. V = lwh ✓
3. V = lw + h
4. V = l + w + h
Find volume of box: 10×6×4 cm
1. 480 cm³
2. 120 cm³
3. 248 cm³
4. 240 cm³ ✓
What is the volume formula for a cylinder?
1. V = πrh
2. V = 2πr²h
3. V = πr²h ✓
4. V = 2πrh
A cylinder has r=7 cm, h=10 cm. Find V. (Use π ≈ 22/7)
1. 154 cm³
2. 3080 cm³
3. 770 cm³
4. 1540 cm³ ✓
How does the volume of a pyramid compare to a prism?
1. Same as prism
2. One-third of prism ✓
3. Half of prism
4. Twice the prism
What is the volume formula for a pyramid?
1. V = Bh
2. V = 2Bh
3. V = 1/2Bh
4. V = 1/3Bh ✓
A square pyramid has base 6 cm, height 9 cm. Find V:
1. 54 cm³
2. 162 cm³
3. 108 cm³ ✓
4. 324 cm³
What is the volume formula for a cone?
1. V = πr²h
2. V = 2πr²h
3. V = πr²
4. V = (1/3)πr²h ✓
A cone has r=5 cm, h=12 cm. Find V. (π≈3.14)
1. 314 cm³ ✓
2. 188.4 cm³
3. 94.2 cm³
4. 628 cm³
What is the volume formula for a sphere?
1. V = 2πr³
2. V = 3πr³
3. V = (4/3)πr³ ✓
4. V = (1/3)πr³
A sphere has radius 6 cm. Find V. (Use π ≈ 3.14)
1. 452.16 cm³
2. 678.24 cm³
3. 904.32 cm³ ✓
4. 1130.4 cm³
How many cm³ are in 1 liter?
1. 10,000
2. 100
3. 500
4. 1,000 ✓
How many liters are in 1 m³?
1. 1,000 L ✓
2. 100 L
3. 10 L
4. 10,000 L
A cube has volume 343 cm³. Find the side:
1. 6 cm
2. 9 cm
3. 8 cm
4. 7 cm ✓
A tank is 50×40×30 cm. How many liters can it hold?
1. 600 L
2. 6 L
3. 60 L ✓
4. 6000 L
A cylinder and cone have same r=3 cm, h=9 cm. How does the cylinder volume compare to the cone?
1. Same as cone
2. Twice the cone
3. Three times cone ✓
4. Four times cone
A triangular prism has base (3-4-5 right triangle), height 12 cm. Find V:
1. 36 cm³
2. 60 cm³
3. 72 cm³ ✓
4. 144 cm³
What is the general formula for prism volume?
1. V = 1/3h
2. V = Bh ✓
3. V = 2Bh
4. V = 1/2Bh
A cylinder has V = 1000π cm³, r = 5 cm. Find h:
1. 30 cm
2. 40 cm ✓
3. 20 cm
4. 50 cm
A sphere fits in a cube (side 10 cm). Space between them? (Use π ≈ 3.14)
1. 523.33 cm³
2. 476.67 cm³ ✓
3. 1000 cm³
4. 1523.33 cm³
A swimming pool is 25m×10m×2m. How many liters?
1. 5,000 L
2. 50,000 L
3. 500,000 L ✓
4. 5,000,000 L
📖 math_quiz3_6_surface_area
Surface area is:
1. Volume of a 3D shape
2. Perimeter of a shape
3. Weight of a shape
4. Total area of all faces ✓
Surface area is measured in:
1. Linear units
2. Degrees
3. Cubic units
4. Square units ✓
A flat pattern of a 3D shape is called a:
1. Net ✓
2. Surface
3. Volume
4. Base
The surface area formula for a cube is:
1. SA = 6s² ✓
2. SA = 8s²
3. SA = s³
4. SA = 4s²
Find the surface area of a cube with side 5 cm
1. 100 cm²
2. 125 cm²
3. 150 cm² ✓
4. 175 cm²
The surface area formula for a rectangular prism is:
1. SA = lwh
2. SA = 2(l + w + h)
3. SA = 2(lw + lh + wh) ✓
4. SA = 6lwh
Find SA of a box: 10×6×4 cm
1. 120 cm²
2. 240 cm²
3. 248 cm² ✓
4. 256 cm²
The surface area formula for a cylinder is:
1. SA = 2πr²
2. SA = πr²h
3. SA = 2πr(r + h) ✓
4. SA = πr² + πrh
A cylinder has r=3 cm, h=7 cm. Find SA. (Use π ≈ 22/7)
1. 132 cm²
2. 264 cm²
3. 188.57 cm² ✓
4. 396 cm²
The surface area formula for a sphere is:
1. SA = 2πr²
2. SA = 4πr² ✓
3. SA = πr³
4. SA = 3πr²
A sphere has radius 7 cm. Find SA. (Use π ≈ 22/7)
1. 154 cm²
2. 616 cm² ✓
3. 462 cm²
4. 308 cm²
The surface area formula for a cone is:
1. SA = πr²
2. SA = πrl
3. SA = πr² + πrl ✓
4. The radius
A cone has r=6 cm, slant height=10 cm. Find SA. (Use π ≈ 3.14)
1. 301.44 cm² ✓
2. 188.4 cm²
3. 376.8 cm²
4. 602.88 cm²
The slant height of a pyramid or cone is:
1. Same as vertical height
2. The base dimension
3. Diagonal on the surface ✓
4. The radius
A square pyramid has base side 8 cm, slant height 6 cm. Find SA:
1. 96 cm²
2. 112 cm²
3. 160 cm² ✓
4. 192 cm²
A prism has two:
1. Two congruent bases ✓
2. Triangular faces
3. Curved surfaces
4. Vertices only
A cone has r=5, h=12. Find slant height:
1. 20
2. 15
3. 17
4. 13 ✓
Which 3D shape has NO flat faces?
1. Sphere ✓
2. Cylinder
3. Cone
4. Cube
A ball has diameter 24 cm. Find SA. (Use π ≈ 3.14)
1. 3617.28 cm²
2. 904.32 cm²
3. 452.16 cm²
4. 1808.64 cm² ✓
A cube has SA = 294 cm². Find one edge:
1. 7 cm ✓
2. 9 cm
3. 8 cm
4. 6 cm
The lateral surface of a prism refers to:?
1. The two bases
2. The volume
3. All faces
4. The side faces ✓
A triangular prism SA formula is:
1. SA = 2B + Ph ✓
2. SA = Bh
3. SA = 1/2Bh
4. SA = 3B
How many faces does a rectangular prism have?
1. 5
2. 6 ✓
3. 4
4. 8
A pyramid has:
1. Two parallel bases
2. A base and triangular faces ✓
3. All curved surfaces
4. No apex
If a cylinder and sphere have same radius 5 cm and same SA, the cylinder height is:
1. 2.5 cm
2. 10 cm
3. 5 cm ✓
4. 7.5 cm
📖 math_quiz3_5_perimeter_and_area
Perimeter is:
1. Distance around a shape ✓
2. Volume of a shape
3. Space inside a shape
4. Weight of a shape
Area is measured in:
1. Linear units (cm, m)
2. Square units (cm², m²) ✓
3. Cubic units (cm³, m³)
4. Degrees
The perimeter of a rectangle with length 8 cm and width 5 cm is:
1. 13 cm
2. 65 cm
3. 40 cm
4. 26 cm ✓
The area of a rectangle with length 10 m and width 6 m is:
1. 60 m² ✓
2. 32 m²
3. 100 m²
4. 16 m²
The perimeter of a square with side 7 cm is:
1. 28 cm ✓
2. 21 cm
3. 14 cm
4. 49 cm
The area of a square with side 9 cm is:
1. 72 cm²
2. 81 cm² ✓
3. 36 cm²
4. 90 cm²
The area of a triangle with base 12 cm and height 8 cm is:
1. 48 cm² ✓
2. 20 cm²
3. 96 cm²
4. 120 cm²
The area formula for a parallelogram is:
1. A = bh ✓
2. A = 1/2bh
3. A = b²
4. A = 2bh
The area of a trapezoid with bases 10 cm and 6 cm, height 4 cm is:
1. 16 cm²
2. 32 cm² ✓
3. 24 cm²
4. 64 cm²
The area of a rhombus with diagonals 8 cm and 10 cm is:
1. 18 cm²
2. 160 cm²
3. 40 cm² ✓
4. 80 cm²
How many cm² are in 1 m²?
1. 10,000 ✓
2. 100
3. 1,000
4. 100,000
Convert 3 m² to cm²
1. 300 cm²
2. 3,000 cm²
3. 30,000 cm² ✓
4. 300,000 cm²
A square has perimeter 40 cm. Its area is:
1. 80 cm²
2. 40 cm²
3. 100 cm² ✓
4. 10 cm²
A circle has radius 7 cm. Its circumference is: (Use π ≈ 22/7)
1. 22 cm
2. 44 cm ✓
3. 88 cm
4. 154 cm
A circle has diameter 10 m. Its area is: (Use π ≈ 3.14)
1. 31.4 m²
2. 314 m²
3. 78.5 m² ✓
4. 157 m²
To find the area of a composite shape, you should:
1. Break into simpler parts ✓
2. Add all side lengths
3. Guess the total
4. Multiply all dimensions
A shape has a rectangle (10×6) and triangle (base 10, height 4) on top. Total area?
1. 120 cm²
2. 60 cm²
3. 100 cm²
4. 80 cm² ✓
A rectangle 20×10 cm has a semicircle (d=10) removed. What is the remaining area? (π≈3.14)
1. 163.75 cm²
2. 161.75 cm²
3. 160.75 cm² ✓
4. 162.75 cm²
A room is 5 m × 4 m. Tiles cost $15/m². Total cost?
1. $150
2. $300 ✓
3. $200
4. $75
A garden is 12 m × 8 m. Fencing costs $25/m. Total cost for fencing?
1. $400
2. $1000 ✓
3. $600
4. $500
The area formula for a triangle is:
1. A = bh
2. A = b²h
3. A = 2bh
4. A = 1/2bh ✓
Convert 5000 cm² to m²
1. 0.5 m² ✓
2. 5 m²
3. 50 m²
4. 500 m²
A parallelogram has base 18 cm and height 7 cm. Its area is:
1. 252 cm²
2. 50 cm²
3. 25 cm²
4. 126 cm² ✓
A square and rectangle have same perimeter 40 cm. Rectangle is 12×8. Which has greater area?
1. Same
2. Rectangle
3. Square ✓
4. Cannot determine
The perimeter of a triangle with sides 5, 12, 13 cm is:
1. 30 cm ✓
2. 25 cm
3. 35 cm
4. 20 cm
📖 math_quiz3_4_circles_and_their_properties
A circle is defined as:?
1. All points equidistant from a center ✓
2. A curved line
3. Arc
4. A polygon
The diameter of a circle is:
1. Half the radius
2. Equal to the radius
3. Twice the radius ✓
4. Unrelated to radius
A line segment from the center to a point on the circle is called:
1. Diameter
2. Chord
3. Radius ✓
4. Tangent
The longest chord of a circle is the:?
1. Radius
2. Diameter ✓
3. Arc
4. Tangent
A line that touches a circle at exactly one point is called a:
1. Chord
2. Secant
3. Tangent ✓
4. Diameter
The circumference formula is:
1. C = πr
2. C = 2πr ✓
3. C = πr²
4. C = 2πr²
The area formula for a circle is:
1. A = πr² ✓
2. A = πr
3. A = 2πr
4. A = 2πr²
Find the circumference of a circle with radius 7 cm. (Use π ≈ 22/7)
1. 22 cm
2. 88 cm
3. 44 cm ✓
4. 154 cm
Find the area of a circle with radius 10 cm. (Use π ≈ 3.14)
1. 31.4 cm²
2. 314 cm² ✓
3. 62.8 cm²
4. 628 cm²
A circle has diameter 14 m. Find its circumference. (Use π ≈ 22/7)
1. 22 m
2. 44 m ✓
3. 88 m
4. 154 m
A tangent to a circle is always ______ to the radius at the point of tangency.
1. Parallel
2. Equal in length
3. Perpendicular ✓
4. Supplementary
The arc length formula (angle θ in degrees) is:
1. θ/360 × πr
2. θ/180 × πr
3. θ/180 × 2πr
4. θ/360 × 2πr ✓
Find the arc length for 60° in a circle with radius 9 cm. (Use π ≈ 3.14)
1. 9π cm
2. 6π cm
3. 3π cm ✓
4. 12π cm
The area of a sector formula (angle θ in degrees) is:
1. θ/360 × πr
2. θ/180 × πr
3. θ/180 × πr²
4. θ/360 × πr² ✓
Find the sector area for 90° in a circle with radius 8 cm. (Use π ≈ 3.14)
1. 64π cm²
2. 16π cm² ✓
3. 50.24 cm²
4. 32π cm²
An inscribed angle is:
1. Twice the central angle
2. Equal to central angle
3. Unrelated to central angle
4. Half the central angle ✓
If a central angle is 80°, the inscribed angle (same arc) is:
1. 160°
2. 80°
3. 120°
4. 40° ✓
An angle inscribed in a semicircle is always:?
1. 45°
2. 60°
3. 180°
4. 90° ✓
If the circumference is 44 cm, find the radius. (Use π ≈ 22/7)
1. 7 cm ✓
2. 5 cm
3. 9 cm
4. 11 cm
If the area is 154 cm², find the radius. (Use π ≈ 22/7)
1. 7 cm ✓
2. 11 cm
3. 9 cm
4. 5 cm
Two tangents from external point P to a circle are:
1. Unequal
2. Perpendicular
3. Parallel
4. Equal ✓
A chord is 16 cm long and 6 cm from center. Find the radius.
1. 8 cm
2. 10 cm ✓
3. 12 cm
4. 14 cm
A perpendicular from center to a chord:?
1. Doubles the chord
2. Bisects the chord ✓
3. Has no special property
4. Is parallel to chord
The value of π is approximately:?
1. 5.14
2. 2.14
3. 4.14
4. 3.14 ✓
A sector looks like:?
1. A rectangle
2. A triangle
3. A square
4. A pizza slice ✓
📖 math_quiz3_3_quadrilaterals_and_polygons
A polygon is a closed figure made of:
1. Straight line segments ✓
2. Both curves and lines
3. Curved lines
4. Circles
How many sides does a hexagon have?
1. 6 ✓
2. 5
3. 7
4. 8
What is the sum of interior angles of a quadrilateral?
1. 180°
2. 360° ✓
3. 270°
4. 540°
What is the sum of interior angles of a pentagon?
1. 360°
2. 540° ✓
3. 720°
4. 450°
The sum of exterior angles of any convex polygon is:
1. 360° ✓
2. 270°
3. 180°
4. Depends on sides
A regular polygon has:
1. All angles equal
2. All sides and angles equal ✓
3. All sides equal
4. No equal sides
Each exterior angle of a regular hexagon is:
1. 45°
2. 60° ✓
3. 90°
4. 120°
A parallelogram has:
1. Two pairs of parallel sides ✓
2. One pair of parallel sides
3. No parallel sides
4. All sides equal
In a parallelogram, opposite angles are:
1. Complementary
2. Equal ✓
3. Supplementary
4. Perpendicular
A rectangle is a parallelogram with:
1. All sides equal
2. One right angle
3. Perpendicular diagonals
4. Four right angles ✓
In a rectangle, the diagonals are:
1. Equal and perpendicular
2. Perpendicular only
3. Unequal
4. Equal and bisect each other ✓
A square is:
1. A rectangle only
2. A rhombus only
3. Both rectangle and rhombus ✓
4. Neither rectangle nor rhombus
The diagonal of a square with side 6 cm is:
1. 12 cm
2. 6 cm
3. 6√2 cm ✓
4. 6√3 cm
A rhombus has:
1. Both equal sides and right angles
2. Four right angles
3. No special properties
4. All sides equal ✓
In a rhombus, the diagonals are:
1. Perpendicular ✓
2. Equal and parallel
3. Parallel
4. Equal
A trapezoid has:
1. All sides parallel
2. Two pairs of parallel sides
3. One pair of parallel sides only ✓
4. No parallel sides
The area of a trapezoid with bases 8 cm and 12 cm, height 5 cm is:
1. 100 cm²
2. 40 cm²
3. 60 cm²
4. 50 cm² ✓
If each interior angle of a regular polygon is 120°, how many sides does it have?
1. 5
2. 8
3. 6 ✓
4. 7
Find the sum of interior angles of an octagon
1. 1260°
2. 900°
3. 720°
4. 1080° ✓
A rectangle has length 8 cm and width 6 cm. Find the diagonal.
1. 16 cm
2. 10 cm ✓
3. 14 cm
4. 12 cm
In a parallelogram, one angle is 75°. Find the adjacent angle.
1. 105° ✓
2. 75°
3. 90°
4. 150°
The area of a rhombus with diagonals 8 cm and 10 cm is:
1. 40 cm² ✓
2. 50 cm²
3. 80 cm²
4. 100 cm²
A kite has:
1. Two pairs of adjacent sides equal ✓
2. Two pairs of parallel sides
3. All sides equal
4. All angles equal
Each interior angle of a regular decagon (10 sides) is:
1. 120°
2. 135°
3. 144° ✓
4. 150°
Which quadrilateral MUST have perpendicular diagonals?
1. Rectangle
2. Rhombus ✓
3. Trapezoid
4. Parallelogram
📖 math_quiz3_2_angles_and_triangles
What is the sum of the interior angles of any triangle?
1. 90°
2. 270°
3. 180° ✓
4. 360°
In triangle ABC, if angle A = 60° and angle B = 70°, what is angle C?
1. 40°
2. 60°
3. 50° ✓
4. 70°
A triangle with all three sides equal is called:
1. Equilateral ✓
2. Isosceles
3. Scalene
4. Right
A triangle with two sides equal is called:
1. Right
2. Isosceles ✓
3. Scalene
4. Equilateral
In an equilateral triangle, each angle measures:
1. 30°
2. 60° ✓
3. 45°
4. 90°
A triangle with all angles less than 90° is called:
1. Obtuse
2. Right
3. Acute ✓
4. Equilateral
A triangle with one angle equal to 90° is called:
1. Obtuse
2. Acute
3. Right ✓
4. Straight
In a right triangle, the longest side is called the:
1. Leg
2. Hypotenuse ✓
3. Base
4. Altitude
What is the Pythagorean theorem?
1. a² + b² = c² ✓
2. a × b = c
3. a + b = c
4. a² + b = c²
In a right triangle with legs 3 and 4, what is the hypotenuse?
1. 8
2. 6
3. 7
4. 5 ✓
In a right triangle, if the hypotenuse is 13 and one leg is 5, what is the other leg?
1. 8
2. 10
3. 12 ✓
4. 14
Which set of numbers forms a Pythagorean triple?
1. (2, 3, 4)
2. (4, 5, 6)
3. (5, 6, 7)
4. (3, 4, 5) ✓
In an isosceles triangle, the vertex angle is 40°. What is each base angle?
1. 40°
2. 60°
3. 70° ✓
4. 80°
The exterior angle of a triangle equals:
1. One interior angle
2. All three interior angles
3. Two adjacent interior angles
4. Two remote interior angles ✓
In triangle DEF, angle D = 50° and angle E = 60°. What is the exterior angle at F?
1. 70°
2. 110° ✓
3. 120°
4. 130°
Can sides 3, 4, and 8 form a triangle?
1. Yes
2. Only if it is right
3. Only if it is obtuse
4. No ✓
In a 45°-45°-90° triangle, if each leg is 5, what is the hypotenuse?
1. 10
2. 5
3. 5√2 ✓
4. 2√5
In a 30°-60°-90° triangle, if the shortest side is 4, what is the hypotenuse?
1. 8 ✓
2. 4√3
3. 6
4. 4
What is the ratio of sides in a 30°-60°-90° triangle?
1. 1 : 1 : √2
2. 1 : √3 : 2 ✓
3. 1 : 2 : 3
4. 1 : √2 : 2
Is a triangle with sides 5, 12, and 13 a right triangle?
1. Only if angles are given
2. No
3. Cannot determine
4. Yes ✓
In an isosceles triangle, what property do the base angles have?
1. They are complementary
2. They are supplementary
3. They are equal ✓
4. They are perpendicular
A triangle has angles 30°, 60°, and 90°. It is classified as:?
1. Acute
2. Equilateral
3. Obtuse
4. Right ✓
In triangle ABC, angle A = 2x, angle B = 3x, angle C = 4x. Find x.
1. 30°
2. 15°
3. 10°
4. 20° ✓
A ladder 10 m long leans against a wall. The base is 6 m from the wall. How high does it reach?
1. 6 m
2. 7 m
3. 8 m ✓
4. 9 m
Which of these CANNOT be the angles of a triangle?
1. 30°, 60°, 90°
2. 45°, 45°, 90°
3. 40°, 50°, 100° ✓
4. 50°, 60°, 70°
📖 math_quiz3_1_basic_geometric_concepts
Which of the following has NO dimension?
1. Line
2. Point ✓
3. Plane
4. Line segment
What is the notation for a line passing through points A and B?
1. \\overline{AB}
2. \\angle AB
3. \\overrightarrow{AB}
4. \\overleftrightarrow{AB} ✓
A line segment has:
1. One endpoint
2. No endpoints
3. Two endpoints ✓
4. Infinite endpoints
Which angle measures exactly 90°?
1. Acute angle
2. Obtuse angle
3. Straight angle
4. Right angle ✓
An angle measuring 45° is called a(n):
1. Obtuse angle
2. Right angle
3. Acute angle ✓
4. Straight angle
Two angles are complementary if their sum is:
1. 45°
2. 90° ✓
3. 180°
4. 360°
Two angles are supplementary if their sum is:
1. 90°
2. 180° ✓
3. 45°
4. 360°
If angle A = 35°, what is its complement?
1. 55° ✓
2. 35°
3. 145°
4. 325°
If angle B = 120°, what is its supplement?
1. 30°
2. 60° ✓
3. 120°
4. 240°
Vertical angles are:
1. Never equal
2. Always complementary
3. Always equal ✓
4. Always supplementary
Which symbol represents parallel lines?
1. \\parallel ✓
2. \\perp
3. \\cong
4. \\sim
Which symbol represents perpendicular lines?
1. \\parallel
2. \\cong
3. \\angle
4. \\perp ✓
Perpendicular lines intersect at what angle?
1. 180°
2. 60°
3. 45°
4. 90° ✓
If line l has slope 2, what is the slope of a line perpendicular to l?
1. 2
2. -2
3. -1/2 ✓
4. 1/2
An obtuse angle measures:
1. Less than 90°
2. Between 90° and 180° ✓
3. Exactly 180°
4. Exactly 90°
A straight angle measures:
1. 90°
2. 270°
3. 360°
4. 180° ✓
A reflex angle measures:
1. Between 90° and 180°
2. Between 180° and 360° ✓
3. Between 0° and 90°
4. Exactly 360°
When a transversal crosses two parallel lines, corresponding angles are:
1. Unrelated
2. Supplementary
3. Equal ✓
4. Complementary
When a transversal crosses two parallel lines, alternate interior angles are:
1. Equal ✓
2. Supplementary
3. Complementary
4. Unrelated
When a transversal crosses two parallel lines, co-interior angles are:
1. Equal
2. Vertical
3. Complementary
4. Supplementary ✓
Find the distance between points A(0,0) and B(3,4)
1. 3
2. 4
3. 5 ✓
4. 7
Two angles are supplementary. One is 50°. Find the other.
1. 130° ✓
2. 40°
3. 50°
4. 140°
Adjacent angles must share:
1. A common side only
2. Both vertex and side ✓
3. A common vertex only
4. Neither vertex nor side
How many points determine a unique line?
1. Four
2. One
3. Three
4. Two ✓
Two angles are complementary. One angle is twice the other. Find the smaller angle.
1. 90°
2. 30° ✓
3. 60°
4. 45°
📖 math_quiz2_8_applications_of_inequalities
Books $12 each. Have $50. Buy 2 books. Max pens at $3 each?
1. 11
2. 8 ✓
3. 10
4. 9
Phone: $30 + $0.10/text. Budget $45. Max texts?
1. 450
2. 200
3. 100
4. 150 ✓
Travel 240 km in <= 4 hours. Minimum speed?
1. 50 km/h
2. 40 km/h
3. 70 km/h
4. 60 km/h ✓
Grades: 78, 85, 82. Need avg >= 80. Pass?
1. Not enough info
2. Yes ✓
3. No
4. Maybe
Scores: 75, 80, 85. Need >= 82 avg on 4 tests. Min 4th score?
1. 88 ✓
2. 85
3. 82
4. 90
Rectangle: length = width + 3. Perimeter < 50. Max width?
1. < 10
2. < 13
3. < 12
4. < 11 ✓
Garden 12m long. Area >= 60 m². Min width?
1. >= 5 m ✓
2. >= 7 m
3. >= 4 m
4. >= 6 m
Triangle sides 5 and 8 cm. Possible 3rd side range?
1. 5 < x < 8
2. 0 < x < 13
3. 3 < x < 5
4. 3 < x < 13 ✓
Water liquid: 0C to 100C. Range in Fahrenheit?
1. 0F to 212F
2. 32F to 100F
3. 0F to 100F
4. 32F to 212F ✓
Break-even: Sell at $15, cost $200 + $8 each. Min to profit?
1. >= 29 ✓
2. >= 27
3. >= 28
4. >= 30
Product buy $40, want >= 25% profit. Min sell price?
1. >= $60
2. >= $50 ✓
3. >= $55
4. >= $45
Earn $2000 + 5% commission. Want >= $3500. Min sales?
1. >= $25,000
2. >= $20,000
3. >= $30,000 ✓
4. >= $35,000
Vote: >= 18 years. President: >= 35. Can vote but not president?
1. a >= 18
2. 18 <= a <= 35
3. 18 <= a < 35 ✓
4. 18 < a < 35
Youth discount: 5-17. Senior: 65+. Full price range?
1. 5 <= a < 65
2. 18 <= a <= 65
3. 18 <= a < 65 ✓
4. 18 < a < 65
Rent car: A=$40/day, B=$30/day+$50 fee. For 5 days?
1. Cannot compare
2. A cheaper
3. B cheaper
4. Same cost ✓
From above, B cheaper when days > ?
1. 6
2. 5 ✓
3. 7
4. 4
What does 'At least 18' translate to?
1. a <= 18
2. a < 18
3. a > 18
4. a >= 18 ✓
What does 'At most $50' translate to?
1. m < 50
2. m >= 50
3. m > 50
4. m <= 50 ✓
30 min/assignment. Have 2.5 hours. Max assignments?
1. <= 5 ✓
2. <= 6
3. <= 7
4. <= 4
Triangle: perimeter < 50, one side = 2*shortest, another = shortest + 3. Max shortest?
1. < 12
2. < 15
3. < 11.75 ✓
4. < 10
Vaccine storage: 2C to 8C. Range in Fahrenheit?
1. 35.6F to 46.4F ✓
2. 36F to 48F
3. 34F to 44F
4. 32F to 46F
Reaction occurs at C > 150. Min in Fahrenheit?
1. > 300F
2. > 302F ✓
3. > 310F
4. > 290F
Salesperson: $1500 + 8% commission. Want $3000. Min sales?
1. >= $15,000
2. >= $25,000
3. >= $20,000
4. >= $18,750 ✓
Books $15. Have $100. Max books?
1. 5
2. 6 ✓
3. 7
4. 8
Speed limit: at least 45 mph, at most 70 mph. Which?
1. 45 <= s <= 70 ✓
2. 45 < s <= 70
3. s < 45 OR s > 70
4. 45 < s < 70
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