Quantitative Reasoning Test

Question 1: If a rectangle has a length of 8 cm and a width of 3 cm, what is its perimeter?

Question 2: What is the value of x if 2x + 3 = 7?

Question 3: Simplify: 4(3x - 2) + 6

Question 4: What is the greatest common factor of 36 and 54?

Question 5: Solve for y: 3y + 5 = 2y + 9

Question 6: What is the area of a triangle with a base of 10 cm and a height of 5 cm?

Question 7: Which of the following is a prime number?

Question 8: What is the slope of the line that passes through the points (2, 3) and (4, 7)?

Question 9: If f(x) = 2x + 3, what is f(2)?

Question 10: Convert 25% to a fraction.

Question 11: What is the value of 3x - 7 if x = 4?

Question 12: What is the least common multiple (LCM) of 6 and 8?

Question 13: Solve for x: 5x - 3 = 2x + 9

Question 14: If a circle has a diameter of 14 cm, what is its radius?

Question 15: Simplify: 9 - 3(2 + 4)

Question 16: What is the volume of a cube with side length 3 cm?

Question 17: Which number is a solution to the inequality 2x - 5 > 3?

Question 18: If y = 2x + 5, what is the value of y when x = -3?

Question 19: Which of the following is an irrational number?

Question 20: Convert 0.75 to a percentage.

Question 21: If 5y - 3 = 2y + 12, what is the value of y?

Question 22: If the sides of a square are doubled, by what factor does the area increase?

Question 23: What is the next number in the sequence: 2, 4, 8, 16, ...?

Question 24: Solve for z: 3z + 15 = 0

Question 25: What is the value of 7! (7 factorial)?

Question 26: If two angles of a triangle are 35° and 65°, what is the measure of the third angle?

Question 27: Convert 3/8 to a decimal.

Question 28: What is the sum of the interior angles of a pentagon?

Question 29: If the probability of an event occurring is 0.2, what is the probability of the event not occurring?

Question 30: If 3(x + 4) = 21, what is the value of x?

Question 31: What is the ratio of the circumference to the diameter of any circle?

Question 32: What is the value of 2^5?

Question 33: If a car travels 60 miles in 1.5 hours, what is its average speed in miles per hour?

Question 34: Simplify: (3x^2 - 2x + 1) - (x^2 + 4x - 5)

Question 35: If an item is marked up by 25% of its cost price of $80, what is its selling price?

Question 36: Solve for x: 4(x - 2) = 3x + 6

Question 37: What is the area of a circle with a radius of 7 cm (use π = 22/7)?

Question 38: Convert the fraction 5/8 to a percentage.

Question 39: If log2(x) = 3, what is the value of x?

Question 40: If 7x - 5 = 2x + 15, what is the value of x?

Question 41: What is the derivative of 3x² with respect to x?

Question 42: What is the value of 9^(1/2)?

Question 43: What is the sum of the exterior angles of any polygon?

Question 44: If a train travels 90 miles in 1.5 hours, what is its average speed in miles per hour?

Question 45: Simplify: (5x^3 - 3x + 1) + (2x^3 + 4x - 5)

Question 46: If an item is discounted by 20% of its original price of $150, what is the discounted price?

Question 47: Solve for y: 2y + 3 = 7y - 12

Question 48: What is the area of a triangle with a base of 10 cm and a height of 8 cm?

Question 49: If log10(x) = 2, what is the value of x?

Question 50: Solve for x: 4x - 9 = 3x + 5

Question 51: If the side length of a square is 6 cm, what is the area?

Question 52: What is the value of 5^3?

Question 53: What percentage of 200 is 80?

Question 54: What is the slope of the line defined by the equation y = 2x + 3?

Question 55: Simplify: 7x - 3(2x - 4)

Question 56: If a car travels 150 miles in 3 hours, what is the average speed in miles per hour?

Question 57: Convert 5/6 to a decimal.

Question 58: What is the perimeter of an equilateral triangle with side length 9 cm?

Question 59: What is the sum of the first five prime numbers?

Question 60: If 8x + 3 = 27, what is the value of x?

Question 61: What is the value of 10^(-2)?

Question 62: What is the least common multiple (LCM) of 3 and 7?

Question 63: If a rectangle has a perimeter of 40 cm and a length of 12 cm, what is its width?

Question 64: What is the value of x if 5x - 2 = 3x + 8?

Question 65: Simplify: 3(2x - 4) + 5

Question 66: If a circle has a circumference of 31.4 cm, what is its radius? (Use π = 3.14)

Question 67: Which of the following is an even prime number?

Question 68: Convert 45% to a fraction.

Question 69: What is the product of the first four positive integers?

Question 70: If y = 3x + 2 and y = 2x + 5, what is the value of x?

Question 71: What is the value of 4! (4 factorial)?

Question 72: What is the sum of the interior angles of a hexagon?

Question 73: If a car travels 240 miles in 4 hours, what is its average speed in miles per hour?

Question 74: Simplify: 5(2x + 3) - 4x

Question 75: Convert 7/8 to a percentage.

Question 76: What is the hypotenuse of a right triangle with legs measuring 6 cm and 8 cm?

Question 77: Solve for x: 4(3x - 2) = 8

Question 78: What is the median of the data set: 4, 8, 10, 12, 16?

Question 79: If an item originally costs $80 and is marked up by 15%, what is the new price?

Question 80: Solve for x: 7x + 5 = 3x + 17

Question 81: If the radius of a circle is 5 cm, what is its circumference? (Use π = 3.14)

Question 82: What is the value of 6^2 - 4^2?

Question 83: If a cone has a radius of 3 cm and a height of 4 cm, what is its volume? (Use π = 3.14)

Question 84: What is the slope of the line that passes through the points (1, 2) and (4, 6)?

Question 85: Simplify: (3x + 2y) - (x - y)

Question 86: Convert 0.625 to a fraction in simplest form.

Question 87: What is the area of a trapezoid with bases 6 cm and 10 cm, and height 4 cm?

Question 88: Which of the following numbers is divisible by 9?

Question 89: What is the solution to the inequality 2x - 5 > 9?

Question 90: What is the value of x in the equation 3x + 7 = 2x + 15?

Question 91: What is the value of 8^2?

Question 92: What is the least common multiple (LCM) of 4 and 10?

Question 93: If a rectangle has an area of 54 cm² and a length of 9 cm, what is its width?

Question 94: Solve for y if 4y - 3 = 5y + 1

Question 95: Simplify: (2x^3 - 3x + 4) + (3x^3 + x - 5)

Question 96: If a cylinder has a radius of 3 cm and a height of 7 cm, what is the volume? (Use π = 3.14)

Question 97: Convert 0.2 to a fraction in simplest form.

Question 98: What is the sum of the interior angles of a heptagon?

Question 99: Which of the following numbers is a perfect square?

Question 100: What is the value of x in the equation 2x + 6 = 3x - 4?

Question 101: What is the cube root of 27?

Question 102: If a right triangle has legs of length 9 cm and 12 cm, what is the length of the hypotenuse?

Question 103: Simplify: 3(x + 4) - 5x

Question 104: What is the value of 7! (7 factorial)?

Question 105: If an object travels at 60 km/hr, how long does it take to travel 180 km?

Question 106: What is the area of a parallelogram with a base of 10 cm and a height of 5 cm?

Question 107: Convert 125% to a decimal.

Question 108: What is the greatest common divisor (GCD) of 24 and 36?

Question 109: If the probability of an event occurring is 0.6, what is the probability of the event not occurring?

Question 110: If the sum of four consecutive integers is 58, what is the first integer?

Question 111: What is the value of 15% of 200?

Question 112: What is the distance between the points (3, 4) and (7, 1) in the coordinate plane?

Question 113: If the area of a circle is 50.24 cm², what is its radius? (Use π ≈ 3.14)

Question 114: Simplify: 4(x + 2) - 3(x - 1)

Question 115: If a triangle has sides of length 3 cm, 4 cm, and 5 cm, what type of triangle is it?

Question 116: What is the next number in the sequence: 2, 6, 18, 54, ...?

Question 117: If a box contains 3 red balls, 5 blue balls, and 2 green balls, what is the probability of picking a blue ball?

Question 118: Which of the following numbers is prime?

Question 119: What is the sum of the first ten positive integers?

Question 120: If 5(x - 2) = 3(x + 4), what is the value of x?

Question 121: What is the value of 2^3 + 3^2?

Question 122: What is the product of 7 and 6?

Question 123: What is the slope of the line defined by the equation 4y = 2x + 8?

Question 124: Simplify: 5x - 2(3x - 4)

Question 125: Convert 3/4 to a decimal.

Question 126: What is the approximate value of π?

Question 127: If the volume of a cube is 27 cm³, what is the length of one side?

Question 128: What is the median of the data set: 5, 7, 12, 14, 18?

Question 129: What is the perimeter of a rectangle with length 10 cm and width 4 cm?

Question 130: What is the value of x if 8x - 4 = 3x + 11?

Question 131: What is the solution to the equation 4y - 8 = 16?

Question 132: If the sum of three consecutive integers is 51, what is the middle integer?

Question 133: What is the value of 9^3?

Question 134: Simplify: 2(5x + 3) - 4x

Question 135: Convert 7/10 to a percentage.

Question 136: What is the area of a rectangle with dimensions 7 cm by 9 cm?

Question 137: If the probability of an event is 0.4, what is the probability of the event not occurring?

Question 138: What is the least common multiple of 5 and 12?

Question 139: Solve for z: 5z + 12 = 2z + 18

Question 140: What is the value of x if 4x + 3 = 19?

Question 141: Which of the following is the prime factorization of 60?

Question 142: What is the sum of the first 8 positive integers?

Question 143: If the area of a square is 49 cm², what is the length of its side?

Question 144: Simplify: 7(2x + 3) - 4x

Question 145: Convert 0.45 to a fraction.

Question 146: What is the value of 5³?

Question 147: If 3x/5 = 12, what is the value of x?

Question 148: What is the perimeter of a triangle with side lengths 5 cm, 12 cm, and 13 cm?

Question 149: How many degrees are in the sum of the interior angles of a quadrilateral?