Question Bank

A room is 6 meters long and 4 meters wide. Find the area.

In a class, there are 12 boys and 15 girls. Which correctly expresses the ratio of boys to girls? A. 15:12 B. 12:15 C. 12:27 D. 15:27

If n = 4, what is the value of 3n + 5? A. 12 B. 17 C. 35 D. 57

Solve for x: x + 8 = 15 A. x = 23 B. x = 7 C. x = 120 D. x = -7

Solve for x: 4x = 28 A. x = 7 B. x = 32 C. x = 112 D. x = 24

Convert 35% to a decimal.

Find the mean of: 12, 15, 8, 20, 10

Is x = 3 a solution to 4x - 7 = 5?

18 for 6 pounds. What is the unit rate per pound?

If 2x + 6 = 16, what is the value of x + 3? A. 2 B. 5 C. 8 D. 10

If f(x) = 2x - 5, what is f(3)? A. -1 B. 1 C. 6 D. 11

If 3x + 7 = 22, what is the value of x?

What is the mean of the numbers 12, 15, 18, 21, and 24?

If 2x + 3 = 7, what is the value of x?

A shirt originally priced at \50 is on sale for 20\% off. What is the sale price?

If f(x) = 2x + 1, what is f(3)?

What is the area of a rectangle with length 8 and width 5?

What is the mean of the numbers 4, 6, 8, 10, 12?

Which is greater: 0.405 or 0.45?

Find the Greatest Common Factor (GCF) of 18 and 24.

Find the Least Common Multiple (LCM) of 6 and 15.

Round 7.486 to the nearest hundredth.

Convert 2\frac{3}{5} to an improper fraction.

Calculate: 4 \times \frac{2}{3}

Plot \frac{1}{4} and \frac{3}{4} on a number line from 0 to 1.

Simplify: \frac{12}{18}

Calculate: 12.4 + 0.36

Calculate: 5.8 - 2.73

Calculate: 6 + 3 \times (4 - 1)

Is 8 + 4 = 10 + 2 true? Explain why.

Find the volume of a rectangular prism with length = 9, width = 4, and height = 5.

Convert 2 hours and 45 minutes to minutes.

Which is larger: 3 liters or 2500 milliliters?

A factory made 480 toys. It sold 165 and then produced 90 more. How many toys does the factory have now?

Calculate: 3/4 ÷ 2/3 = ? A. 1/2 B. 1/2 C. 9/8 D. 6/12

A store sells 8 oranges for 3.20. What is the price per orange (unit rate)? A. 0.25 B. 0.40 C. 0.32 D. 2.56

Are the ratios 4:6 and 10:15 equivalent? Explain your answer. A. Yes, because both simplify to 2:3 B. No, because 4 + 6 ≠ 10 + 15 C. No, because 4 × 15 ≠ 6 × 10 D. Yes, because both have even numbers

Complete the ratio table for a recipe that uses 2 cups of flour for every 3 cups of milk: | Flour | Milk | |-------|------| | 2 | 3 | | 4 | ? | | 6 | ? | | ? | 12 | What are the three missing values?

Which statement is TRUE? A. -8 > -3 B. -3 > -8 C. -8 = -3 D. -3 < -8

What is the value of |-5| + |3|? A. -2 B. 2 C. -8 D. 8

In which quadrant is the point (-3, 4) located? A. Quadrant I B. Quadrant II C. Quadrant III D. Quadrant IV

Which of the following is INCORRECT? A. 0.35 = 35% B. 0.035 = 3.5% C. 1.5 = 150% D. 0.3 = 30%

A shirt originally costs 40 and is on sale for 30% off. What is the sale price? A. 30 B. 28 C. 12 D. 52

In the expression 5n, what values can n represent? A. Only whole numbers like 1, 2, 3, ... B. Only positive numbers C. Any number, including fractions, decimals, or negatives D. Only numbers greater than 5

Simplify: 3x + 2y + 5x A. 10xy B. 5xy + 2y C. 8x + 2y D. 10x + 2y

Expand: 3(x + 4) A. 3x + 4 B. 3x + 12 C. 3x + 7 D. x + 12

What is the value of 3² × 4? A. 144 B. 36 C. 24 D. 13

A triangle has a base of 10 cm and a height of 6 cm. What is its area? A. 60 cm² B. 30 cm² C. 32 cm² D. 16 cm²

A bar chart shows: Monday: 12 students, Tuesday: 8 students, Wednesday: 15 students, Thursday: 10 students, Friday: 5 students. What is the mean number of students per day? A. 10 B. 12 C. 15 D. 50

Calculate: (-8) + (-5)

Calculate: 5 - (-3)

Calculate: (-4) \times (-6)

Calculate: (-20) \div 4

What is |-7| + |3|?

A car travels 180 miles in 3 hours. What is the unit rate in miles per hour?

If 4 apples cost 2.00, how much do 10 apples cost? Set up a proportion and solve.

The table shows: x: 2, 4, 6 and y: 6, 12, 18. What is the constant of proportionality k?

Simplify: 4x + 7 - 2x + 3

Expand: 3(2x - 5)

Factor out the GCF: 12x + 18y

Solve: 2x + 5 = 13

Find the area of a triangle with base 8 cm and height 5 cm.

Find the volume of a triangular prism with triangular base area 12 cm² and height (length) 10 cm.

A jacket costs 80. It is on sale for 25% off. What is the sale price?

Dataset: 3, 5, 5, 7, 100. The mean is 24. What is the median?

A bag has 4 red, 3 blue, and 3 green marbles. What is P(not red)?

A student surveys only her friends about their favorite subject. Is this a random sample?

Which of the following is irrational?

Simplify: 3(2x - 5) + 4x

Factor: 12x + 18

Solve: \frac{x}{3} - 2 = 4

Solve: 0.4x + 2.6 = 5.8

Solve: 2x - 5 < 9

Write 1 < x \leq 4 in interval notation.

Find the slope between points (2, 5) and (6, 1).

Write the equation with slope -3 and y-intercept 4.

Find the hypotenuse if the legs are 6 and 8.

Adult tickets cost 8 each, child tickets cost 5 each. 2 adults and 3 children attend. What is the total cost?

Which graph represents x > -2?

Which is NOT linear?

A kangaroo jumps 2 meters forward, then 1 meter backward, then 2 meters forward again, then 1 meter backward. The kangaroo continues this pattern. After 10 jumps (alternating forward and backward), how far is the kangaroo from the starting point? A. 5 meters B. 7 meters C. 10 meters D. 15 meters E. 20 meters

If \3x + 5 = 17\, what is the value of \6x + 3\? A. 27 B. 30 C. 33 D. 36

\begin{cases} x + y = 10 \\ x - y = 4 \end{cases} What is the value of x? A. 3 B. 6 C. 7 D. 14

Which of the following is equivalent to 2x(x + 3)? A. 2x^2 + 3 B. 2x^2 + 3x C. 2x^2 + 6 D. 2x^2 + 6x

What is \frac{3}{4} + \frac{1}{8}? A. \frac{4}{12} B. \frac{7}{8} C. \frac{4}{8} D. \frac{1}{2}

A plumber charges a 50 service fee plus 80 per hour. If the total bill was 290, how many hours did the plumber work?

A shirt originally costs 40. After a 25% discount, what is the sale price?

If f(x) = 2x^2 - 3x + 1, what is f(4)?

A right triangle has legs of length 6 and 8. What is the length of the hypotenuse?

What is the circumference of a circle with radius 7? (Use \pi \approx 3.14)

Solve for x: 3x - 5 > 10

Which of the following is equivalent to (x + 3)^2?

If x + y = 10 and x - y = 4, what is the value of x?

What is the value of 2^3 \times 2^2?

If the ratio of boys to girls in a class is 3:2 and there are 15 boys, how many girls are there?

Calculate: 408 \times 36

Calculate: 645 \div 8. Write the quotient and remainder. What does the remainder mean?

Calculate: \frac{3}{4} + \frac{5}{6}

Calculate: \frac{5}{8} - \frac{1}{3}

Calculate: \frac{3}{4} \div 2

Which is greater: \frac{5}{8} or \frac{3}{5}? Explain your reasoning.

A tank holds 90 liters of water. \frac{1}{3} of the water is used. How much water remains?

A class completed \frac{2}{5} of a project on Monday and \frac{1}{4} on Tuesday. What fraction of the project is completed in total?

Calculate: 2.4 \times 0.3

Calculate: 6.4 \div 0.8

Convert 0.125 to a fraction in simplest form.

Order from least to greatest: 0.75, \frac{3}{4}, 0.705

Calculate: 15 - 4 \times 2 + 6

Write an expression for: 'Five more than three times 8'

After giving away 27 stickers, Emma has 48 left. How many stickers did she have at first?

A car travels 120 miles in 2 hours. At the same rate, how far will it travel in 5 hours?

There are 48 students. \frac{3}{4} are girls. How many are boys?

Explain why your answer to the fraction addition problem \frac{3}{4} + \frac{5}{6} makes sense.

First estimate, then calculate exactly: 398 \times 21

A ribbon that is 6 feet long needs to be cut into pieces that are each 2/3 of a foot. How many pieces will there be? A. 4 B. 9 C. 12 D. 6

Calculate: 2½ ÷ 1¼ = ?

You have 3/4 of a pizza and want to share it equally among your 3 friends (not including yourself). What fraction of the ORIGINAL pizza does each friend get?

If 5 notebooks cost 8.75, how much do 8 notebooks cost? A. 11.75 B. 14.00 C. 13.60 D. 17.50

Store A sells 6 juice boxes for 4.50. Store B sells 8 juice boxes for 5.60. Which store has the better deal? A. Store A, because it sells fewer boxes B. Store B, because 5.60 - 4.50 = 1.10 more for 2 extra boxes C. Store A, because each box costs 0.75 D. Store B, because each box costs 0.70

What is the distance between -3 and -7 on a number line? A. 10 B. -10 C. 4 D. -4

Order these numbers from least to greatest: -1/2, 0.3, -0.8, 1/4 A. -0.8, -1/2, 1/4, 0.3 B. -0.8, -1/2, 0.3, 1/4 C. -1/2, -0.8, 0.3, 1/4 D. -1/2, -0.8, 1/4, 0.3

If x = 3, find the value of 2x² + x A. 15 B. 21 C. 49 D. 13

Solve: x + 3 > 7. Which correctly represents the solution? A. x > 4, with a closed circle at 4 shading right B. x > 4, with an open circle at 4 shading right C. x < 4, with an open circle at 4 shading left D. x > 10, with an open circle at 10 shading right

Maria has some stickers. After giving away 12 stickers, she has 25 left. Write and solve an equation to find how many stickers she started with. A. x + 12 = 25, so x = 13 B. x - 12 = 25, so x = 37 C. 12 - x = 25, so x = -13 D. x = 25 - 12 = 13

Solve for n: 2n + 5 = 17

A rectangular box is 5 cm long, 4 cm wide, and 3 cm tall. A student says the volume is 2(5×4 + 4×3 + 5×3) = 2(20 + 12 + 15) = 94 cm³. What is WRONG with this calculation? A. Nothing is wrong B. The formula used gives surface area, not volume C. The arithmetic is incorrect D. The formula gives perimeter, not volume

A net (unfolded shape) consists of 4 triangles attached to the sides of a square. What 3D shape does this net form? A. Cube B. Rectangular prism C. Square pyramid D. Triangular prism

Find the mean, median, and mode of: 4, 7, 3, 7, 9, 3, 7 A. Mean = 5.7, Median = 7, Mode = 7 B. Mean = 7, Median = 7, Mode = 3 and 7 C. Mean = 40/7 ≈ 5.7, Median = 7, Mode = 7 D. Mean = 7, Median = 4, Mode = 7

Calculate: \frac{-3}{4} + \frac{1}{2}

A proportional relationship graph passes through (0,0) and (3,12). What is the equation?

Evaluate 3a - 2b + 1 when a = -2 and b = 3

Solve: 5x - 3 = 3x + 7

Solve and graph: -3x > 12

Maria bought 3 notebooks and a pen. The pen costs 1.50. She spent 7.50 total. What is the price of each notebook?

A circle has radius 7 cm. Which is larger: the area or the circumference? (Use \pi \approx 3.14)

Find the surface area of a rectangular prism with length 5 cm, width 3 cm, and height 4 cm.

A price increased from 50 to 65. What is the percent increase?

A meal costs 40. Tax is 8% and tip is 15%. What is the total amount paid?

A coin is flipped and a die is rolled. What is P(heads AND 4)?

Tom earns 12 per hour. He worked 6 hours on Monday and 4 hours on Wednesday. If he saves 30% of his earnings, how much does he save?

A swimming pool is 25 meters long, 10 meters wide, and 2 meters deep. How many liters of water does it hold? (1 m³ = 1000 L)

A shape consists of a rectangle (6 cm × 4 cm) with a triangle on top (base 6 cm, height 3 cm). Find the total area.

Which is larger: -3^2 or (-3)^2?

Simplify: (2^3 \times 2^4) \div 2^2

Simplify \sqrt{50} and approximate to 2 decimal places.

Simplify: -(x - 3) + 2(2x + 1)

If x = -2, evaluate 2x^2 - 3x + 1

Solve: 3(2x - 1) = 5x + 7

Solve: 2(x - 4) + 3 = x + 9

Solve: -2x > 6

For y = 2x - 7, find the x-intercept.

Solve the system: y = 2x + 1 and y = -x + 7

Which system has no solution?

Write 0.00045 in scientific notation.

Simplify: (3 \times 10^4)(2 \times 10^2)

Simplify: (x + 4)(x - 2)

Which expression is equivalent to 5x - 2(3x - 4)?

Solve: 4(x - 3) = 2x + 6

Solve: 5 - 2x = 3x + 10

Solve: 3 - 4x \geq 7

Find the equation of the line passing through (0, -3) and (2, 5).

Solve by substitution: x + y = 6 and y = 2x

The sum of two consecutive integers is 41. Find the integers.

Anna has 12 identical square tiles. Each tile has a side length of 1 cm. She arranges all the tiles to form a rectangle. Which of the following CANNOT be the perimeter of the rectangle she forms? A. 14 cm B. 16 cm C. 26 cm D. 28 cm E. 52 cm

What are the solutions to x^2 - 5x + 6 = 0?

What are the solutions to x^2 - 5x + 6 = 0?

If f(x) = 2x + 1 and g(x) = x^2, what is f(g(3))?

A factory produced \frac{3}{4} of its 480 toys on Monday. On Tuesday, it produced \frac{1}{3} of the remaining toys. How many toys are still not produced?

A rectangular prism is 8m long, 5m wide, and 3m high. It is filled to \frac{3}{4} of its volume. How many cubic meters are filled?

A tank holds 120 liters. \frac{1}{5} is used. Then 12 liters are added. What fraction of the tank is full now?

A car travels 150 miles in 3 hours. At the same rate, how far in 5 hours? Then express your answer as a fraction of 1000 miles.

A class completed \frac{2}{5} of a project on Monday and \frac{1}{4} on Tuesday. What fraction of the project remains?

Round 398 \times 21 by estimating first. Then calculate exactly. Explain whether your answer is reasonable.

Which is greater: 5/6 ÷ 1/3 or 5/6 ÷ 1/2? A. 5/6 ÷ 1/3 is greater B. 5/6 ÷ 1/2 is greater C. They are equal D. Cannot determine without calculating

After a 25% discount, a jacket costs 60. What was the original price? A. 45 (subtracted 25% of 60) B. 75 (added 25% of 60) C. 80 (correct: 60 is 75% of original) D. 85

A store increases prices by 20% during the holiday season, then decreases by 20% after the holidays. Is the final price: A. The same as the original B. Higher than the original C. Lower than the original D. Impossible to determine

A school has 240 students. The ratio of 6th graders to 7th graders is 3:5. What percentage of the total students are 6th graders? A. 37.5% B. 30% C. 60% D. 40%

On a coordinate plane, three vertices of a rectangle are at A(-2, -1), B(4, -1), and C(4, 3). What are the coordinates of the fourth vertex D, and what is the area of the rectangle? A. D(-2, 3), Area = 24 square units B. D(-2, 3), Area = 20 square units C. D(4, 3), Area = 24 square units D. D(-2, -3), Area = 24 square units

A recipe uses 3/4 cup of sugar. If you want to make 2/3 of the recipe, how much sugar do you need? Write your answer as a simplified fraction.

A rectangle has perimeter 36 cm. The length is 3 more than twice the width. Find the area.

Calculate: (-\frac{2}{3}) \times (-\frac{9}{4}) + \frac{1}{2}

Table A: (1,3), (2,6), (3,9). Table B: (1,4), (2,7), (3,10). Which represents a proportional relationship and what is its equation?

Simplify: 2(3x - 4) - 3(x - 2) + 5x

Solve: \frac{2x - 1}{3} \geq 5. Write your answer as an inequality.

Dataset: 10, 12, 11, 13, 100. If the outlier 100 is removed, which measure changes the MOST?

A gym charges 20 registration fee plus 15 per month. Another gym charges 35 per month with no fee. After how many months will the total cost be equal?

A taxi charges 5 initial fee plus 2 per mile. Another company charges 3 initial fee plus 2.5 per mile. After how many miles will the cost be the same?

Simplify: (3 \times 10^4)(5 \times 10^{-2})

Solve: -3(2x - 5) \leq 9

A line passes through (1, 4) and has slope -2. Find the equation. Then state what the y-intercept means in context of a rate.

Simplify \sqrt{72}. Then approximate \sqrt{72} to 2 decimals. Explain if 8.4 is reasonable.

Given the table: x: 2, 4, 6, 8 and y: 5, 10, 15, 20. Is it proportional? If yes, write y = kx. If no, explain why.

Alice, Bob, and Carol are comparing their ages. Alice says, 'I am not the oldest.' Bob says, 'I am not the youngest.' Carol says, 'I am older than Alice.' If exactly one person is lying, who is the youngest? A. Alice B. Bob C. Carol D. Cannot be determined E. All are the same age

A scatterplot shows the relationship between hours studied (x-axis) and test scores (y-axis) for 20 students. The line of best fit is given by \y = 5x + 60\. Which of the following best interprets the slope of the line? A. For each additional hour studied, the test score increases by 5 points on average. B. Students who don't study are expected to score 5 points. C. The average test score for all students is 5 points. D. For each additional point on the test, students study 5 more hours on average.

A store sold 36 boxes. Each box has 24 pencils. It donated 180 pencils. What fraction of the original pencils are left?

After giving away 27 stickers, Emma has 48 left. She then buys \frac{1}{3} more than she currently has. How many stickers does she have now?

The perimeter of a rectangle is 38 cm. The length is 3 more than twice the width. Find the width. A. 5 B. 5.33 C. 8 D. 6.5

In a class of 30 students, the ratio of those who passed to those who failed is 4:1. What is the mean number of points if those who passed averaged 80 points and those who failed averaged 40 points?

Two trains are traveling toward each other. Train A travels at 60 km/h and Train B at 90 km/h. They are 375 km apart. How many hours until they meet? A. 6.25 hours B. 4.17 hours C. 2.5 hours D. 3 hours

The temperature went from -8°C to 4°C. What is the percent increase in temperature? A. 50% B. 150% C. The temperature increased by 12°C — percent change is undefined since starting value is negative D. 200%

A square garden has side length (x + 2) meters. The area is 49 square meters. What is x? A. 5 B. 7 C. 9 D. 47

A store increases a price by 20%, then decreases the new price by 20%. Is the final price equal to the original?

A square garden has area 196 m². A path 2 m wide surrounds it. What percent of the total area (garden + path) is the path?

At a factory, 4 workers make 96 parts in 6 hours. How many workers are needed to make at least 240 parts in 5 hours?

A right triangle has legs (x + 1) and (x - 3), and hypotenuse 10. Find x.

A rectangle has perimeter 30. The length is 3 more than twice the width. Find the dimensions.

If \2^x = 8\ and \3^y = 27\, what is the value of \2^{x+1} \cdot 3^{y-1}\? A. 48 B. 54 C. 72 D. 81