PSAT Math Practice Test - Easy Level - 60 Questions
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Question 1 of 60
1. Question
1 pointsThe sum of two numbers is 48. If one number is 3 times the other, what is the smaller number?
Correct
Explanation: Let the smaller number be x. Then the larger number is 3x. x + 3x = 48 → 4x = 48 → x = 12.
Incorrect
Explanation: Solve using x + 3x = 48 → 4x = 48 → x = 12.
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Question 2 of 60
2. Question
1 pointsA rectangle has a length of 12 cm and a width of 5 cm. What is the perimeter of the rectangle?
Correct
Explanation: Perimeter = 2*(length + width) = 2*(12 + 5) = 34 cm.
Incorrect
Explanation: Remember the perimeter formula for a rectangle: 2*(length + width).
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Question 3 of 60
3. Question
1 pointsIf 5x – 7 = 18, what is the value of x?
Correct
Explanation: 5x – 7 = 18 → 5x = 25 → x = 5.
Incorrect
Explanation: Solve by isolating x: 5x – 7 = 18 → 5x = 25 → x = 5.
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Question 4 of 60
4. Question
1 pointsThe height of a plant increases by 3 inches every week. If the plant is currently 7 inches tall, how tall will it be in 6 weeks?
Correct
Explanation: Height after 6 weeks = 7 + 6*3 = 7 + 18 = 25 inches.
Incorrect
Explanation: Multiply the weekly increase by the number of weeks and add the current height.
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Question 5 of 60
5. Question
1 pointsA bakery sold 120 cookies in a day. If 1/4 of them were chocolate chip, how many chocolate chip cookies were sold?
Correct
Explanation: Chocolate chip cookies = 1/4 * 120 = 30.
Incorrect
Explanation: Multiply the total cookies by 1/4 to find the number of chocolate chip cookies.
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Question 6 of 60
6. Question
1 pointsThe sum of three consecutive integers is 51. What is the largest of these integers?
Correct
Explanation: Let the integers be x, x+1, x+2. Then x + (x+1) + (x+2) = 51 → 3x + 3 = 51 → 3x = 48 → x = 16. Largest integer = x+2 = 18.
Incorrect
Explanation: Solve by representing consecutive integers as x, x+1, x+2. Sum = 51 → 3x+3=51 → x=16 → largest = 18.
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Question 7 of 60
7. Question
1 pointsA car travels 180 miles in 3 hours. At the same rate, how long will it take to travel 300 miles?
Correct
Explanation: Rate = 180/3 = 60 mph. Time for 300 miles = 300/60 = 5 hours.
Incorrect
Explanation: Use rate = distance/time, then time = distance/rate.
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Question 8 of 60
8. Question
1 pointsA rectangle has an area of 48 cm². If its length is 8 cm, what is its width?
Correct
Explanation: Area = length * width → 48 = 8 * width → width = 48/8 = 6 cm.
Incorrect
Explanation: Use the formula for area of a rectangle: Area = length * width. Solve for width.
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Question 9 of 60
9. Question
1 pointsA shirt costs $25, and a pair of pants costs $40. If a customer buys 2 shirts and 3 pairs of pants, how much is the total cost?
Correct
Explanation: Total cost = 2*25 + 3*40 = 50 + 120 = 170 dollars.
Incorrect
Explanation: Multiply each item by quantity and sum the results.
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Question 10 of 60
10. Question
1 pointsA phone plan charges $20 per month plus $0.10 per text. If a user sends 150 texts in a month, what is the total bill?
Correct
Explanation: Total bill = 20 + 0.10*150 = 20 + 15 = 35 dollars.
Incorrect
Explanation: Multiply the number of texts by the per-text cost, then add the monthly fee.
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Question 11 of 60
11. Question
1 pointsA baker used 3 cups of flour to make 12 muffins. How many cups of flour are needed to make 20 muffins?
Correct
Explanation: Flour per muffin = 3/12 = 0.25 cups. For 20 muffins: 20*0.25 = 5 cups.
Incorrect
Explanation: Determine the flour per muffin, then multiply by 20.
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Question 12 of 60
12. Question
1 pointsIf 5 pencils cost $2.50, what is the cost of 12 pencils at the same rate?
Correct
Explanation: Cost per pencil = 2.50/5 = 0.50. For 12 pencils: 12*0.50 = 6 dollars.
Incorrect
Explanation: Divide total cost by quantity to get unit price, then multiply by 12.
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Question 13 of 60
13. Question
1 pointsThe perimeter of a square is 36 cm. What is the length of one side?
Correct
Explanation: Perimeter of square = 4*side → 36 = 4*side → side = 9 cm.
Incorrect
Explanation: Divide the perimeter by 4 to find the side length.
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Question 14 of 60
14. Question
1 pointsA car rental costs $30 per day plus $0.20 per mile. If someone rents the car for 3 days and drives 150 miles, what is the total cost?
Correct
Explanation: Daily cost = 3*30 = 90. Mileage cost = 150*0.20 = 30. Total = 90+30 = 120 dollars.
Incorrect
Explanation: Multiply daily rate by number of days, mileage rate by miles driven, sum the amounts.
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Question 15 of 60
15. Question
1 pointsIf a number is increased by 15% and the result is 92, what is the original number?
Correct
Explanation: Let x be the original number. x*1.15 = 92 → x = 92/1.15 = 80.
Incorrect
Explanation: Divide the result by 1.15 to find the original number.
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Question 16 of 60
16. Question
1 pointsA rectangle has a length of 12 cm and a width of 5 cm. What is its area?
Correct
Explanation: Area = length * width = 12*5 = 60 cm².
Incorrect
Explanation: Multiply length by width to find the area.
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Question 17 of 60
17. Question
1 pointsA train travels 180 miles in 3 hours. What is its average speed in miles per hour?
Correct
Explanation: Speed = distance/time = 180/3 = 60 mph.
Incorrect
Explanation: Divide total distance by total time to find average speed.
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Question 18 of 60
18. Question
1 pointsA store offers a 20% discount on a jacket that originally costs $75. What is the discounted price?
Correct
Explanation: Discount = 0.2*75 = 15. Price after discount = 75-15 = 60 dollars.
Incorrect
Explanation: Multiply original price by 0.2 to get discount, then subtract from original price.
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Question 19 of 60
19. Question
1 pointsA box contains 6 red balls and 4 blue balls. If one ball is drawn at random, what is the probability that it is red?
Correct
Explanation: Probability = number of red balls / total balls = 6/10 = 0.6.
Incorrect
Explanation: Divide the number of favorable outcomes by total outcomes.
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Question 20 of 60
20. Question
1 pointsIf 3x + 7 = 16, what is the value of x?
Correct
Explanation: 3x = 16-7 → 3x = 9 → x = 3.
Incorrect
Explanation: Subtract 7 from both sides, then divide by 3.
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Question 21 of 60
21. Question
1 pointsA store sells pencils in packs of 8. If a student buys 5 packs, how many pencils does the student have in total?
Correct
Explanation: Total pencils = 8*5 = 40.
Incorrect
Explanation: Multiply the number of packs by the number of pencils per pack.
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Question 22 of 60
22. Question
1 pointsIf 5x = 20, what is the value of x?
Correct
Explanation: x = 20/5 = 4.
Incorrect
Explanation: Divide both sides by 5 to solve for x.
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Question 23 of 60
23. Question
1 pointsA rectangle has a perimeter of 24 cm and a length of 7 cm. What is the width of the rectangle?
Correct
Explanation: Perimeter = 2*(length + width) → 24 = 2*(7 + w) → 12 = 7 + w → w = 5.
Incorrect
Explanation: Solve for width using the perimeter formula of a rectangle.
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Question 24 of 60
24. Question
1 pointsA baker uses 2 cups of flour to make 12 muffins. How many cups of flour are needed to make 30 muffins?
Correct
Explanation: 2 cups → 12 muffins, so 30 muffins need 2*(30/12) = 5 cups.
Incorrect
Explanation: Use proportional reasoning: multiply 2 by (30 ÷ 12).
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Question 25 of 60
25. Question
1 pointsIf a number is increased by 7, the result is 15. What is the original number?
Correct
Explanation: Original number = 15 – 7 = 8.
Incorrect
Explanation: Subtract 7 from 15 to find the original number.
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Question 26 of 60
26. Question
1 pointsA bag contains 3 red balls, 5 blue balls, and 2 green balls. If a ball is picked at random, what is the probability it is blue?
Correct
Explanation: Total balls = 3 + 5 + 2 = 10. Probability of blue = 5/10 = 1/2.
Incorrect
Explanation: Divide the number of blue balls by the total number of balls.
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Question 27 of 60
27. Question
1 pointsIf 7y – 5 = 23, what is the value of y?
Correct
Explanation: 7y – 5 = 23 → 7y = 28 → y = 4.
Incorrect
Explanation: Add 5 to both sides, then divide by 7 to solve for y.
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Question 28 of 60
28. Question
1 pointsThe sum of three consecutive integers is 72. What is the middle integer?
Correct
Explanation: Let integers be n-1, n, n+1 → sum = 3n = 72 → n = 24.
Incorrect
Explanation: Represent consecutive integers as n-1, n, n+1 and solve for n.
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Question 29 of 60
29. Question
1 pointsA train travels 180 miles in 3 hours. What is the average speed of the train in miles per hour?
Correct
Explanation: Speed = distance/time = 180/3 = 60 mph.
Incorrect
Explanation: Divide total distance by total time to find average speed.
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Question 30 of 60
30. Question
1 pointsIf a pizza is divided into 8 equal slices and Sarah eats 3 slices, what fraction of the pizza does she eat?
Correct
Explanation: Fraction eaten = 3/8.
Incorrect
Explanation: Divide the number of slices eaten by the total slices.
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Question 31 of 60
31. Question
1 pointsIf 5x + 7 = 27, what is the value of x?
Correct
Explanation: 5x + 7 = 27 → 5x = 20 → x = 4.
Incorrect
Explanation: Subtract 7 from both sides, then divide by 5.
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Question 32 of 60
32. Question
1 pointsA rectangle has a length of 12 cm and a width of 7 cm. What is the perimeter of the rectangle?
Correct
Explanation: Perimeter = 2(length + width) = 2(12 + 7) = 38 cm.
Incorrect
Explanation: Add length + width and multiply by 2.
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Question 33 of 60
33. Question
1 pointsWhich of the following is equal to 3/4 + 5/8?
Correct
Explanation: 3/4 + 5/8 = 6/8 + 5/8 = 11/8.
Incorrect
Explanation: Convert 3/4 to 6/8, then add 5/8.
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Question 34 of 60
34. Question
1 pointsA car travels 90 miles in 1.5 hours. What is its average speed in miles per hour?
Correct
Explanation: Speed = distance / time = 90 ÷ 1.5 = 60 mph.
Incorrect
Explanation: Divide total miles by total hours.
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Question 35 of 60
35. Question
1 pointsIf a bag contains 4 yellow marbles, 6 red marbles, and 10 blue marbles, what fraction of the marbles are not blue?
Correct
Explanation: Total marbles = 4 + 6 + 10 = 20. Not blue = 4 + 6 = 10 → fraction = 10/20 = 1/2.
Incorrect
Explanation: Count marbles not blue and divide by total.
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Question 36 of 60
36. Question
1 pointsIf 7y – 5 = 16, what is the value of y?
Correct
Explanation: 7y – 5 = 16 → 7y = 21 → y = 3.
Incorrect
Explanation: Add 5 to both sides, then divide by 7.
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Question 37 of 60
37. Question
1 pointsThe area of a triangle is 36 cm² and its base is 9 cm. What is the height of the triangle?
Correct
Explanation: Area = 1/2 × base × height → 36 = 1/2 × 9 × h → h = 8 cm.
Incorrect
Explanation: Multiply base by height and divide by 2 to find area. Solve for height.
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Question 38 of 60
38. Question
1 pointsIf a pair of shoes costs $45 and is on sale for 20% off, what is the sale price?
Correct
Explanation: Discount = 20% of 45 = 0.2 × 45 = 9 → Sale price = 45 – 9 = $36.
Incorrect
Explanation: Multiply 45 by 0.2 to find discount, subtract from original price.
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Question 39 of 60
39. Question
1 pointsIf a bottle contains 2 liters of juice and each glass holds 0.25 liters, how many glasses can be poured?
Correct
Explanation: Number of glasses = 2 ÷ 0.25 = 8.
Incorrect
Explanation: Divide total liters by liters per glass.
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Question 40 of 60
40. Question
1 pointsWhat is the value of 9² – 8²?
Correct
Explanation: 9² – 8² = (9 – 8)(9 + 8) = 1 × 17 = 17.
Incorrect
Explanation: Use difference of squares formula: a² – b² = (a – b)(a + b).
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Question 41 of 60
41. Question
1 pointsA rectangle has a length of 12 cm and a width of 5 cm. What is the perimeter of the rectangle?
Correct
Explanation: Perimeter = 2 × (length + width) = 2 × (12 + 5) = 34 cm.
Incorrect
Explanation: Add length and width, then multiply by 2 to get perimeter.
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Question 42 of 60
42. Question
1 pointsSimplify the expression: 5 × (3 + 4)
Correct
Explanation: 5 × (3 + 4) = 5 × 7 = 35.
Incorrect
Explanation: Add inside parentheses first, then multiply.
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Question 43 of 60
43. Question
1 pointsIf x/4 = 7, what is the value of x?
Correct
Explanation: Multiply both sides by 4 → x = 28.
Incorrect
Explanation: Multiply both sides by the denominator to solve for x.
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Question 44 of 60
44. Question
1 pointsA car travels 60 miles per hour. How far will it travel in 3 hours?
Correct
Explanation: Distance = speed × time = 60 × 3 = 180 miles.
Incorrect
Explanation: Multiply speed by time to get distance.
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Question 45 of 60
45. Question
1 pointsThe sum of three consecutive integers is 48. What is the middle integer?
Correct
Explanation: Let integers be n-1, n, n+1 → sum = 3n = 48 → n = 16.
Incorrect
Explanation: Represent consecutive integers as n-1, n, n+1. Add and solve for n.
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Question 46 of 60
46. Question
1 pointsA bag contains 3 red balls, 4 blue balls, and 5 green balls. What is the probability of randomly picking a blue ball?
Correct
Explanation: Total balls = 3 + 4 + 5 = 12; probability = 4/12 = 1/3.
Incorrect
Explanation: Count total balls and divide the number of blue balls by total.
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Question 47 of 60
47. Question
1 pointsIf 2x + 5 = 15, what is x?
Correct
Explanation: 2x = 15 – 5 → 2x = 10 → x = 5.
Incorrect
Explanation: Subtract 5 from both sides, then divide by 2.
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Question 48 of 60
48. Question
1 pointsA triangle has angles in the ratio 2:3:4. What is the measure of the largest angle?
Correct
Explanation: Sum of angles = 180; ratios sum = 2+3+4=9; largest angle = 4/9*180=80°.
Incorrect
Explanation: Convert the ratio to fractions of 180 to find largest angle.
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Question 49 of 60
49. Question
1 pointsThe sum of two numbers is 20 and their difference is 4. What are the numbers?
Correct
Explanation: Let numbers be x and y: x+y=20, x−y=4 → x=12, y=8.
Incorrect
Explanation: Solve the system of equations using addition/subtraction method.
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Question 50 of 60
50. Question
1 pointsA store sells pencils for $0.25 each. If you buy 12 pencils, how much do you pay?
Correct
Explanation: 12 × 0.25 = 3 dollars.
Incorrect
Explanation: Multiply price per pencil by number of pencils.
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Question 51 of 60
51. Question
1 pointsIf a rectangle has a length of 8 cm and a width of 5 cm, what is its perimeter?
Correct
Explanation: Perimeter = 2*(length + width) = 2*(8+5)=26 cm.
Incorrect
Explanation: Add length and width, then multiply by 2.
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Question 52 of 60
52. Question
1 pointsWhich of the following is equivalent to 3/4 × 8/9?
Correct
Explanation: Multiply numerators and denominators: (3*8)/(4*9) = 24/36 = 2/3.
Incorrect
Explanation: Multiply straight across then simplify the fraction.
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Question 53 of 60
53. Question
1 pointsA car travels 60 miles in 1.5 hours. What is the average speed of the car in miles per hour?
Correct
Explanation: Average speed = distance/time = 60/1.5 = 40 mph.
Incorrect
Explanation: Divide total distance by total time to get speed.
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Question 54 of 60
54. Question
1 pointsWhat is the value of x if 5x – 7 = 18?
Correct
Explanation: 5x = 18 + 7 → 5x = 25 → x = 5.
Incorrect
Explanation: Add 7 to both sides, then divide by 5.
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Question 55 of 60
55. Question
1 pointsIf y = 2x + 3, what is the value of y when x = 4?
Correct
Explanation: y = 2*4 + 3 = 8 + 3 = 11.
Incorrect
Explanation: Substitute x=4 into the equation and simplify.
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Question 56 of 60
56. Question
1 pointsIf 3x + 7 = 19, what is the value of x?
Correct
Explanation: 3x = 19 – 7 → 3x = 12 → x = 4.
Incorrect
Explanation: Subtract 7 from both sides and divide by 3.
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Question 57 of 60
57. Question
1 pointsWhat is 25% of 160?
Correct
Explanation: 25% of 160 = 0.25 × 160 = 40.
Incorrect
Explanation: Convert percentage to decimal and multiply by the number.
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Question 58 of 60
58. Question
1 pointsIf a triangle has angles in the ratio 2:3:4, what is the measure of the largest angle?
Correct
Explanation: Sum of angles = 180. Let x be the common factor: 2x+3x+4x=9x=180 → x=20 → largest angle = 4x = 80°.
Incorrect
Explanation: Find x by dividing 180 by sum of ratios, then multiply by largest ratio.
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Question 59 of 60
59. Question
1 pointsA store sells pencils in packs of 6 and erasers in packs of 8. What is the smallest number of pencils and erasers the store can sell to have equal numbers of each?
Correct
Explanation: Find LCM of 6 and 8: LCM(6,8)=24 → 24 pencils and 24 erasers.
Incorrect
Explanation: Use LCM of pack sizes to find equal numbers.
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Question 60 of 60
60. Question
1 pointsIf 5x = 35, what is x?
Correct
Explanation: x = 35 ÷ 5 = 7.
Incorrect
Explanation: Divide both sides by 5.