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4th Math: Operations & Algebraic Thinking practice questions and exam guide

150 multiple-choice questions, 60 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

  • 220 total items
  • 150 multiple choice
  • 60 flashcards
  • 10 simulations

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About the 4th Math: Operations & Algebraic Thinking exam

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.

Free 4th Math: Operations & Algebraic Thinking practice questions

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?

  1. 40
  2. 48
  3. 43
  4. 53

Answer: C — 43

C) Correct — 48−5. B) forgot subtract. A) miscount. D) added.

238 ÷ 7 = ?

  1. 34
  2. 231
  3. 33
  4. 35

Answer: A — 34

A) Correct — 7×34=238. B) subtracted. C) close. D) close.

Pattern: 200, 195, 190, __

  1. 185
  2. 180
  3. 195
  4. 175

Answer: A — 185

A) Correct — subtract 5. B) skipped. C) same. D) skipped more.

Which is NOT a factor of 18?

  1. 2
  2. 3
  3. 5
  4. 6

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?

  1. Neither
  2. Prime
  3. Composite
  4. Both

Answer: C — Composite

C) Correct — 15 = 3×5. B/C/D) wrong.

Pattern rule for 100, 92, 84, 76?

  1. Subtract 8
  2. Subtract 10
  3. Subtract 6
  4. Divide by 2

Answer: A — Subtract 8

A) Correct — differences are 8. B/C/D) wrong step.

Pattern of even multiples of 5: 10, 20, 30, __

  1. 40
  2. 35
  3. 45
  4. 25

Answer: A — 40

A) Correct. B/C) odd. D) went backwards.

Is 39 prime or composite?

  1. Both
  2. Prime
  3. Neither
  4. Composite

Answer: D — Composite

D) Correct — 3×13. B/C/A) wrong.

85 flowers, 5 vases. Per vase?

  1. 25
  2. 80
  3. 90
  4. 17

Answer: D — 17

D) Correct — 85÷5. B) subtracted. C) added. A) miscount.

56 marbles equally into 8 bags. Per bag?

  1. 8
  2. 7
  3. 48
  4. 64

Answer: B — 7

B) Correct — 56÷8. A) reversed. C) subtracted. D) added.

27 ÷ 4 = ? (remainder allowed)

  1. 6 R 4
  2. 7
  3. 6
  4. 6 R 3

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'?

  1. 24 + 4 = 6
  2. 24 = 6 × 4
  3. 24 = 6 + 4
  4. 24 = 4 ÷ 6

Answer: B — 24 = 6 × 4

'Times as many' = multiplication: 24 = 6 × 4. (A),(C),(D) wrong.

4th Math: Operations & Algebraic Thinking flashcards

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.

Practise the full 4th 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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4th Math: Operations & Algebraic Thinking — frequently asked

What is the 4th Math: Operations & Algebraic Thinking exam?

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.

How is CoStudy’s 4th Math: Operations & Algebraic Thinking bank organised?

It holds 220 items (150 multiple-choice, 60 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 4th 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 4th 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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