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This math practice test follows Grade 3 SBAC standards and assesses number sense, place value, multiplication/division concepts, fractions introduction, measurement, data interpretation, and geometric reasoning. Students solve word problems, demonstrate conceptual understanding, and apply mathematical reasoning. Feedback guides improvement in foundational math skills.
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Question 1. Which of the following shows 4 equal groups of 7 objects? A) 4 × 7 B) 7 × 4 C) 4 + 7 D) 7 + 4 Answer: A Explanation: Multiplication 4 × 7 means 4 groups of 7. Question 2. Sarah has 24 stickers. She puts the same number of stickers on each of 3 pages. How many stickers are on each page? A) 6 B) 7 C) 8 D) 9 Answer: C Explanation: 24 ÷ 3 = 8, so each page gets 8 stickers. Question 3. What is the missing factor in the equation 9 ×? = 81? A) 7 B) 8 C) 9 D) 10 Answer: C Explanation: 9 × 9 = 81, so the missing factor is 9. Question 4. Which property lets you change 5 × 6 to 6 × 5 without changing the product? A) Associative B) Commutative C) Distributive D) Identity Answer: B Explanation: The commutative property states that order does not affect the product. Question 5. If 8 × 4 = 32, which equation shows the same relationship using division? A) 32 ÷ 8 = 4 B) 32 ÷ 4 = 8 C) 8 ÷ 32 = 4 D) 4 ÷ 32 = 8 Answer: B Explanation: Division is the inverse of multiplication; 32 ÷ 4 = 8.
Question 6. What is 7 × 10? A) 70 B) 17 C) 100 D) 77 Answer: A Explanation: Multiplying by 10 adds a zero: 7 × 10 = 70. Question 7. Which of the following is an equivalent expression for 3 × (20 + 5)? A) 3 × 20 + 5 B) 3 × 20 + 3 × 5 C) (3 × 20) × 5 D) 3 + 20 + 5 Answer: B Explanation: The distributive property: a(b + c) = ab + ac. Question 8. A garden has 5 rows of 6 flowers each. How many flowers are in the garden? A) 11 B) 30 C) 35 D) 60 Answer: B Explanation: 5 × 6 = 30 flowers. Question 9. Which number rounds to 300 when rounded to the nearest hundred? A) 249 B) 250 C) 349 D) 351 Answer: B Explanation: 250 is halfway; rounding rule for grade 3 rounds up to 300. Question 10. Round 467 to the nearest ten. A) 460 B) 470 C) 400 D) 500 Answer: B Explanation: The ones digit is 7 (≥5), so round up to 470. Question 11. What is 578 + 246?
Question 16. Which property allows you to add 3 + 4 + 5 in any grouping? A) Commutative B) Associative C) Distributive D) Identity Answer: B Explanation: The associative property lets you regroup addition. Question 17. A baker makes 9 trays of cupcakes. Each tray holds 12 cupcakes. How many cupcakes are made? A) 108 B) 120 C) 96 D) 84 Answer: A Explanation: 9 × 12 = 108 cupcakes. Question 18. Which number is a multiple of both 4 and 6? A) 20 B) 24 C) 28 D) 30 Answer: B Explanation: 24 ÷ 4 = 6 and 24 ÷ 6 = 4. Question 19. What is the value of the digit 5 in the number 5,374? A) 5 B) 50 C) 500 D) 5, Answer: C Explanation: The 5 is in the hundreds place, worth 500. Question 20. In the number 2,806, what is the value of the digit 8? A) 8 B) 80 C) 800 D) 8, Answer: C Explanation: The 8 is in the hundreds place, worth 800.
Question 21. Which of the following shows 45 divided into 5 equal groups? A) 45 ÷ 5 B) 5 ÷ 45 C) 45 × 5 D) 5 × 45 Answer: A Explanation: Division models partitioning into equal groups. Question 22. If a rectangle has length 8 units and width 3 units, what is its area? A) 11 B) 24 C) 22 D) 26 Answer: B Explanation: Area = length × width = 8 × 3 = 24 square units. Question 23. Which expression shows the distributive property for 4 × 13? A) (4 × 10) + (4 × 3) B) (4 + 10) × 3 C) 4 + 13 D) 13 × 4 + 4 Answer: A Explanation: 4 × 13 = 4 × (10 + 3) = (4 × 10)+(4 × 3). Question 24. What is 9 × 7? A) 56 B) 63 C) 72 D) 79 Answer: B Explanation: 9 × 7 = 63. Question 25. Which of these is a correct statement of the inverse relationship between multiplication and division? A) 6 × 5 = 30 and 30 ÷ 6 = 5 B) 6 + 5 = 30 and 30 ‑ 6 = 5 C) 6 × 5 = 30 and 30 ÷ 5 = 6 D) 6 × 5 = 30 and 30 ÷ 30 = 5 Answer: C Explanation: Multiplication and division are inverses; 6 × 5 = 30 and 30 ÷ 5 = 6.
Explanation: 3/4 is located three‑quarters of the distance from 0 to 1. Question 31. Which fraction is equivalent to 2/4? A) 1/2 B) 3/4 C) 2/3 D) 4/ Answer: A Explanation: Simplifying 2/4 gives 1/2. Question 32. Which of the following shows a partition model for 24 ÷ 8? A) 8 + 8 + 8 B) 24 + 8 C) 8 × 3 D) 24 ÷ 8 Answer: A Explanation: 24 ÷ 8 asks how many 8s are in 24; 8 + 8 + 8 = 24. Question 33. If 5 ×? = 45, what is the missing factor? A) 7 B) 8 C) 9 D) 10 Answer: C Explanation: 5 × 9 = 45. Question 34. Which property lets you add 0 to any number without changing its value? A) Commutative B) Associative C) Identity D) Distributive Answer: C Explanation: The additive identity property: n + 0 = n. Question 35. A 培 (class) has 24 students. They sit in rows of 4. How many rows are there? A) 5 B) 6 C) 7 D) 8 Answer: B Explanation: 24 ÷ 4 = 6 rows.
Question 36. What is the product of 7 and 8? A) 54 B) 56 C) 58 D) 60 Answer: B Explanation: 7 × 8 = 56. Question 37. Which of these is a correct statement of the associative property for multiplication? A) (3 × 4) × 5 = 3 × (4 × 5) B) 3 × 4 = 4 × 3 C) 3 × (4 + 5) = 3 × 4 + 3 × 5 D) 3 + 4 = 4 + 3 Answer: A Explanation: Associative property allows regrouping of factors. Question 38. Round 68 to the nearest ten. A) 60 B) 70 C) 80 D) 90 Answer: B Explanation: Ones digit is 8 (≥5), round up to 70. Question 39. Add 437 and 256. A) 683 B) 693 C) 703 D) 713 Answer: B Explanation: 437 + 256 = 693. Question 40. Subtract 199 from 500. A) 291 B) 301 C) 311 D) 321 Answer: B Explanation: 500 ‑ 199 = 301.
Question 46. Which property explains why 4 + 5 = 5 + 4? A) Commutative B) Associative C) Distributive D) Identity Answer: A Explanation: The commutative property of addition. Question 47. Round 2,467 to the nearest thousand. A) 2,000 B) 2,400 C) 2,500 D) 3, Answer: A Explanation: Hundreds digit is 4 (<5), round down to 2,000. Question 48. Add 1,235 and 876. A) 2,001 B) 2,011 C) 2,021 D) 2, Answer: B Explanation: 1,235 + 876 = 2,111? Wait compute: 1,235+876=2,111. So answer D. Answer: D Explanation: Adding gives 2,111. Question 49. Subtract 642 from 1,200. A) 558 B) 568 C) 578 D) 588 Answer: A Explanation: 1,200 ‑ 642 = 558. Question 50. Which fraction is equivalent to 4/6? A) 2/3 B) 3/4 C) 1/2 D) 5/ Answer: A
Explanation: Simplify by dividing numerator and denominator by 2. Question 51. On a number line from 0 to 1, where is 1/2 located? A) At the left end B) One‑quarter of the way C) Halfway D) Three‑quarters of the way Answer: C Explanation: 1/2 is exactly halfway between 0 and 1. Question 52. If a box holds 12 crayons and you have 5 boxes, how many crayons do you have? A) 60 B) 55 C) 65 D) 70 Answer: A Explanation: 5 × 12 = 60 crayons. Question 53. Which of the following shows the measurement model for 36 ÷ 4? A) 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 B) 4 × 9 C) 36 ÷ 4 D) 9 × 4 Answer: B Explanation: 36 ÷ 4 asks how many groups of 4 are in 36; 4 × 9 = 36. Question 54. What is the product of 0 and any whole number? A) 0 B) 1 C) The other number D) Undefined Answer: A Explanation: Any number multiplied by 0 equals 0. Question 55. Which property allows you to compute 6 × (2 + 3) by first adding 2 + 3? A) Commutative B) Associative C) Distributive D) Identity Answer: C
Answer: C Explanation: 3/4 ÷ 1/2 = (3/4) × 2 = 3/2 = 1.5? Wait compute: 3/4 ÷ 1/2 = (3/4)*(2/1)=6/4=3/2 = 1.5 scoops, not 2. So answer B. Answer: B Explanation: You need 1½ scoops of the 1/2‑cup measure. Question 61. Which number is a multiple of both 3 and 5? A) 12 B) 15 C) 18 D) 21 Answer: B Explanation: 15 = 3 × 5. Question 62. If 7 ×? = 56, what is the missing factor? A) 6 B) 7 C) 8 D) 9 Answer: B Explanation: 7 × 8 = 56, actually 7 × 8 = 56, so missing factor is 8. Wait options: B is 7, C is 8. Correct answer C. Answer: C Explanation: 7 × 8 = 56. Question 63. What is 45 ÷ 9? A) 4 B) 5 C) 6 D) 7 Answer: B Explanation: 9 × 5 = 45. Question 64. Which property allows you to change 3 × (4 × 5) to (3 × 4) × 5? A) Commutative B) Associative C) Distributive D) Identity Answer: B
Explanation: Associative property of multiplication. Question 65. Round 1,678 to the nearest ten. A) 1,670 B) 1,680 C) 1,690 D) 1, Answer: B Explanation: Ones digit 8 → round up to 1,680. Question 66. Add 754 and 289. A) 1,033 B) 1,043 C) 1,053 D) 1, Answer: B Explanation: 754 + 289 = 1,043. Question 67. Subtract 376 from 800. A) 424 B) 434 C) 444 D) 454 Answer: A Explanation: 800 ‑ 376 = 424. Question 68. Which fraction is equivalent to 6/9? A) 2/3 B) 3/4 C) 1/2 D) 5/ Answer: A Explanation: Divide numerator and denominator by 3. Question 69. On a number line from 0 to 1, where is 2/5 located? A) One‑quarter of the way B) Two‑fifths of the way C) Halfway D) Three‑fifths of the way Answer: B Explanation: 2/5 is two‑fifths of the distance from 0 to 1.
Question 75. Add 1,019 and 876. A) 1,885 B) 1,895 C) 1,905 D) 1, Answer: B Explanation: 1,019 + 876 = 1,895. Question 76. Subtract 542 from 1,000. A) 448 B) 458 C) 468 D) 478 Answer: A Explanation: 1,000 ‑ 542 = 458? Wait compute: 1000‑542=458. So answer B. Answer: B Explanation: Borrowing gives 458. Question 77. Which fraction is larger: 7/8 or 6/7? A) 7/8 B) 6/7 C) They are equal D) Cannot tell Answer: A Explanation: Convert to decimals: 7/8=0.875, 6/7≈0.857; 7/8 is larger. Question 78. A ruler is marked in centimeters. If the distance between 0 cm and 5 cm is measured, what fraction of the whole ruler (10 cm) does this represent? A) 1/5 B) 1/2 C) 3/5 D) 2/ Answer: B Explanation: 5 cm out of 10 cm = 5/10 = 1/2. Question 79. Which number is a multiple of 12? A) 36 B) 38 C) 41 D) 43
Answer: A Explanation: 12 × 3 = 36. Question 80. If 8 ×? = 72, what is the missing factor? A) 8 B) 9 C) 10 D) 11 Answer: B Explanation: 8 × 9 = 72. Question 81. What is 81 ÷ 9? A) 7 B) 8 C) 9 D) 10 Answer: C Explanation: 9 × 9 = 81. Question 82. Which property lets you rewrite 5 × (2 + 3) as (5 × 2) + (5 × 3)? A) Commutative B) Associative C) Distributive D) Identity Answer: C Explanation: Distributive property. Question 83. Round 2,749 to the nearest thousand. A) 2,000 B) 2,500 C) 3,000 D) 4, Answer: C Explanation: Hundreds digit is 7 (≥5), round up to 3,000. Question 84. Add 639 and 258. A) 887 B) 897 C) 907 D) 917 Answer: B
Answer: B Explanation: 5 groups of 9 equals 45; measurement model: 5 × 9. Question 90. What is the product of 0 and 7? A) 0 B) 1 C) 7 D) Undefined Answer: A Explanation: Any number times 0 equals 0. Question 91. Which property allows you to compute 4 × (6 × 2) by first multiplying 6 × 2? A) Commutative B) Associative C) Distributive D) Identity Answer: B Explanation: Associative property of multiplication. Question 92. Round 5,432 to the nearest ten. A) 5,430 B) 5,440 C) 5,500 D) 5, Answer: B Explanation: Ones digit 2 (<5) so round down to 5,430? Wait 5,432 → tens digit is 3, ones digit 2, round down to 5,430. So answer A. Answer: A Explanation: Since the ones digit is less than 5, round down to 5,430. Question 93. Add 2,317 and 1,684. A) 3,991 B) 4,001 C) 4,011 D) 4, Answer: B Explanation: 2,317 + 1,684 = 4,001.
Question 94. Subtract 1,045 from 2,500. A) 1,445 B) 1,455 C) 1,465 D) 1, Answer: A Explanation: 2,500 ‑ 1,045 = 1,455? Wait compute: 2500‑1045=1455. So answer B. Answer: B Explanation: Borrowing gives 1,455. Question 95. Which fraction is greater: 3/5 or 2/3? A) 3/5 B) 2/3 C) They are equal D) Cannot tell Answer: B Explanation: 3/5=0.6, 2/3≈0.667; 2/3 is larger. Question 96. A cake is divided into 8 equal slices. If you eat 5 slices, what fraction of the cake remains? A) 1/8 B) 3/8 C) 5/8 D) 7/ Answer: B Explanation: 8‑ 5 = 3 slices left → 3/8 of the cake. Question 97. Which number is a multiple of 7? A) 20 B) 28 C) 34 D) 41 Answer: B Explanation: 7 × 4 = 28. Question 98. If 9 ×? = 81, what is the missing factor? A) 7 B) 8 C) 9 D) 10