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3rd Math: Operations & Algebraic Thinking practice questions and exam guide

150 multiple-choice questions, 40 flashcards and 10 scenario simulations, written to the Common Core State Standards blueprint. Every question carries a full rationale.

Last reviewed 2026-10-26 · CoStudy · how we write and review questions

  • 200 total items
  • 150 multiple choice
  • 40 flashcards
  • 10 simulations

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About the 3rd Math: Operations & Algebraic Thinking exam

Common Core State Standards (CCSS) — Mathematics, Grade 3: Operations & Algebraic Thinking (3.OA.A.1-4, 3.OA.B.5-6, 3.OA.C.7, 3.OA.D.8-9). Public standards from corestandards.org.

CoStudy's 3rd Math: Operations & Algebraic Thinking bank holds 200 items. Every multiple-choice question carries a written rationale explaining why the correct answer is correct and why each distractor is tempting but wrong, and the bank includes 10 scenario-based simulations.

Free 3rd Math: Operations & Algebraic Thinking practice questions

A sample of 12 multiple-choice questions from the bank, with the full rationale shown.

9 × 2 − 5 = ?

  1. 13
  2. 4
  3. 18
  4. 23

Answer: A — 13

A) Correct — 9×2=18, 18−5=13. B) subtracted first (wrong). C) forgot subtract. D) added.

63 ÷ 9 = __

  1. 6
  2. 8
  3. 7
  4. 5

Answer: C — 7

A) 9×6=54. C) Correct — 9×7=63. B) 9×8=72. D) 9×5=45.

What is 9 × 2?

  1. 11
  2. 16
  3. 18
  4. 20

Answer: C — 18

A) added. C) Correct — 9 doubled = 18. B) 8 × 2. D) 10 × 2.

Find the next term: 3, 6, 9, 12, __

  1. 15
  2. 14
  3. 16
  4. 13

Answer: A — 15

A) Correct — skip-count by 3. B) added 2. C) added 4. D) added 1.

Which is 3 × 6 as repeated addition?

  1. 6 + 3
  2. 3 + 3 + 3
  3. 3 + 6
  4. 6 + 6 + 6

Answer: D — 6 + 6 + 6

A),(C) plain addition. B) only three 3s = 9. D) Correct — 3 groups of 6 = 6 + 6 + 6 = 18.

9 × 6 broken as 9 × (3 + 3) equals?

  1. 63
  2. 27
  3. 45
  4. 54

Answer: D — 54

D) Correct — 27 + 27 = 54. B) just one part. C) 9×5. A) 9×7.

What is 3 × 7?

  1. 10
  2. 14
  3. 24
  4. 21

Answer: D — 21

A) added. B) 2 × 7. C) 3 × 8. D) Correct — 3 × 7 = 21.

4 × 7 = ?

  1. 21
  2. 28
  3. 32
  4. 24

Answer: B — 28

A) 3×7. B) Correct — 4×7=28. C) 4×8. D) 4×6.

9 × 8 = ?

  1. 64
  2. 81
  3. 72
  4. 90

Answer: C — 72

A) 8×8. C) Correct — 9×8=72. B) 9×9. D) 9×10.

12 × 5 = ? (Break into 10×5 + 2×5)

  1. 55
  2. 50
  3. 70
  4. 60

Answer: D — 60

D) Correct — 50 + 10 = 60. B) just 10×5. C) 12×5+10. A) added.

90 ÷ 9 = ?

  1. 9
  2. 11
  3. 8
  4. 10

Answer: D — 10

A) 9×9=81. D) Correct — 9×10=90. C) 9×8=72. B) 9×11=99.

What is 24 ÷ 4?

  1. 5
  2. 7
  3. 6
  4. 8

Answer: C — 6

A) 4 × 5 = 20. C) Correct — 4 × 6 = 24. B) 4 × 7 = 28. D) 4 × 8 = 32.

3rd Math: Operations & Algebraic Thinking flashcards

5 sample cards from the 40 in the bank.

6 × 7 = ?

42. Six groups of seven equals 42.

7 baskets, 6 apples each. Total?

42. Because 7 × 6 = 42.

5 friends share 30 candies. Each?

6. Because 30 ÷ 5 = 6.

__ × 7 = 42

6. Because 6 × 7 = 42.

6 × 8 = ?

48. Six groups of eight equals 48.

Practise the full 3rd Math: Operations & Algebraic Thinking bank

These samples are a small slice. The full bank runs flashcards, multiple choice and timed mock exams with per-chapter progress tracking, on the web and in the iOS app.

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3rd Math: Operations & Algebraic Thinking — frequently asked

What is the 3rd Math: Operations & Algebraic Thinking exam?

Common Core State Standards (CCSS) — Mathematics, Grade 3: Operations & Algebraic Thinking (3.OA.A.1-4, 3.OA.B.5-6, 3.OA.C.7, 3.OA.D.8-9). Public standards from corestandards.org.

How is CoStudy’s 3rd Math: Operations & Algebraic Thinking bank organised?

It holds 200 items (150 multiple-choice, 40 flashcards, 10 simulations). Free samples on this page include the full rationale, with no account.

Does CoStudy replace the certifying body?

No. the certifying body owns the outline, the badge, and the sitting rules. This is independent practice with written rationales. We do not sell live items and we do not guarantee a pass.

Where do 3rd Math: Operations & Algebraic Thinking fees, cut scores, and pass rates live?

On the certifying body’s site. CoStudy will not invent a sitting fee or a pass rate. If a table on this page lacks a citation, treat it as unverified.

Are these real 3rd Math: Operations & Algebraic Thinking exam questions?

No. CoStudy does not have live items. The samples below are original practice written to the published outline, with rationales. Anyone selling “real exam dumps” is describing something you should not buy.

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