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150 multiple-choice questions, 60 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 4: Operations & Algebraic Thinking (4.OA.A.1-3, 4.OA.B.4, 4.OA.C.5). Public standards from corestandards.org.
CoStudy's 4th Math: Operations & Algebraic Thinking bank holds 220 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.
A room has 8 rows of 6 chairs. If 5 chairs break, how many are usable?
Answer: C — 43
C) Correct — 48−5. B) forgot subtract. A) miscount. D) added.
238 ÷ 7 = ?
Answer: A — 34
A) Correct — 7×34=238. B) subtracted. C) close. D) close.
Pattern: 200, 195, 190, __
Answer: A — 185
A) Correct — subtract 5. B) skipped. C) same. D) skipped more.
Which is NOT a factor of 18?
Answer: C — 5
18 = 1, 2, 3, 6, 9, 18. 5 doesn't divide 18 evenly. (A),(B),(D) are factors.
Is 15 prime or composite?
Answer: C — Composite
C) Correct — 15 = 3×5. B/C/D) wrong.
Pattern rule for 100, 92, 84, 76?
Answer: A — Subtract 8
A) Correct — differences are 8. B/C/D) wrong step.
Pattern of even multiples of 5: 10, 20, 30, __
Answer: A — 40
A) Correct. B/C) odd. D) went backwards.
Is 39 prime or composite?
Answer: D — Composite
D) Correct — 3×13. B/C/A) wrong.
85 flowers, 5 vases. Per vase?
Answer: D — 17
D) Correct — 85÷5. B) subtracted. C) added. A) miscount.
56 marbles equally into 8 bags. Per bag?
Answer: B — 7
B) Correct — 56÷8. A) reversed. C) subtracted. D) added.
27 ÷ 4 = ? (remainder allowed)
Answer: D — 6 R 3
D) Correct — 6×4=24, 27−24=3 remainder. B) too big. C) missed remainder. A) impossible remainder.
Which equation represents '24 is 6 times as many as 4'?
Answer: B — 24 = 6 × 4
'Times as many' = multiplication: 24 = 6 × 4. (A),(C),(D) wrong.
6 sample cards from the 60 in the bank.
Estimate 583 ÷ 9 by rounding 583 to nearest 10.
580 ÷ 9 ≈ 64. (Actual: ≈ 65.)
Word: 84 cookies are split into bags of 12. How many bags?
7 bags.
In a word problem, when do you 'round up' the quotient?
When the situation requires using all items — like figuring out how many vehicles needed for X passengers.
What is 144 ÷ 12?
12.
Continue the pattern: 2, 5, 11, 23, ___?
47. Pattern: × 2 + 1.
What is 7 × 8?
56.
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.
Open 4th Math: Operations & Algebraic Thinking →
The 4th Math: Operations & Algebraic Thinking bank holds 220 items: 150 multiple-choice questions, 60 flashcards and 10 scenario-based simulations. 18 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 4: Operations & Algebraic Thinking (4.OA.A.1-3, 4.OA.B.4, 4.OA.C.5). Public standards from corestandards.org.
The samples on this page are free to read in full, rationales included, with no account. The complete 220-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.