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150 multiple-choice questions, 40 flashcards and 10 scenario simulations, written to the Common Core State Standards blueprint. Every question carries a full rationale.
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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.
A sample of 12 multiple-choice questions from the bank, with the full rationale shown.
9 × 2 − 5 = ?
Answer: A — 13
A) Correct — 9×2=18, 18−5=13. B) subtracted first (wrong). C) forgot subtract. D) added.
63 ÷ 9 = __
Answer: C — 7
A) 9×6=54. C) Correct — 9×7=63. B) 9×8=72. D) 9×5=45.
What is 9 × 2?
Answer: C — 18
A) added. C) Correct — 9 doubled = 18. B) 8 × 2. D) 10 × 2.
Find the next term: 3, 6, 9, 12, __
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?
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?
Answer: D — 54
D) Correct — 27 + 27 = 54. B) just one part. C) 9×5. A) 9×7.
What is 3 × 7?
Answer: D — 21
A) added. B) 2 × 7. C) 3 × 8. D) Correct — 3 × 7 = 21.
4 × 7 = ?
Answer: B — 28
A) 3×7. B) Correct — 4×7=28. C) 4×8. D) 4×6.
9 × 8 = ?
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)
Answer: D — 60
D) Correct — 50 + 10 = 60. B) just 10×5. C) 12×5+10. A) added.
90 ÷ 9 = ?
Answer: D — 10
A) 9×9=81. D) Correct — 9×10=90. C) 9×8=72. B) 9×11=99.
What is 24 ÷ 4?
Answer: C — 6
A) 4 × 5 = 20. C) Correct — 4 × 6 = 24. B) 4 × 7 = 28. D) 4 × 8 = 32.
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.
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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The 3rd Math: Operations & Algebraic Thinking bank holds 200 items: 150 multiple-choice questions, 40 flashcards and 10 scenario-based simulations. 17 of them are on this page to read free, with no signup.
Yes. Every multiple-choice item carries a written rationale that states the controlling principle behind the correct answer and then addresses each wrong option in turn — why it tempts and precisely where it fails. Knowing why the plausible answer was wrong is worth more than knowing which letter was right.
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.
The samples on this page are free to read in full, rationales included, with no account. The complete 200-item bank, the timed mock exams and per-chapter progress tracking are part of CoStudy on the web and in the iOS app.
Last reviewed 2026-08-22. Banks are written against the certifying body's published exam outline and re-checked when that outline changes — exams get renumbered, retired and reweighted, and a bank written to a superseded outline teaches the wrong proportions. Figures that are re-indexed annually are deliberately not asserted as rules; the questions test the governing principle instead.