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3rd Math: Number & Operations Base Ten practice questions and exam guide

150 multiple-choice questions, 50 flashcards and 10 scenario simulations, written to the Common Core State Standards blueprint. Every question carries a full rationale.

Written and maintained by Nick Burton · last updated 2026-08-22 · how we write and review questions

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About the 3rd Math: Number & Operations Base Ten exam

Common Core State Standards (CCSS) — Mathematics, Grade 3: Number & Operations in Base Ten (3.NBT.A.1-3). Public standards from corestandards.org.

CoStudy's 3rd Math: Number & Operations Base Ten bank holds 210 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: Number & Operations Base Ten practice questions

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

617 + 82 = ?

  1. 599
  2. 689
  3. 709
  4. 699

Answer: D — 699

D) Correct — 7+2=9, 1+8=9, 6+0=6 → 699. B) miscarry. C) miscarry. A) missed hundreds.

Round 613 to the nearest 10.

  1. 610
  2. 620
  3. 600
  4. 605

Answer: A — 610

A) Correct — 3 < 5, round down. B) wrong direction. C) that's nearest 100. D) not multiple.

What is 5 × 90?

  1. 450
  2. 95
  3. 540
  4. 405

Answer: A — 450

5 × 9 = 45 → × 10 = 450. (B),(C),(D) wrong.

1000 − 456 = ?

  1. 544
  2. 554
  3. 534
  4. 644

Answer: A — 544

A) Correct — 1000−456=544. B/C) miscount. D) miscount hundreds.

A box has 50 candies. 6 boxes contain how many?

  1. 56
  2. 300
  3. 65
  4. 250

Answer: B — 300

6 × 50 = 300. (A),(C),(D) wrong.

761 − 289 = ?

  1. 572
  2. 482
  3. 462
  4. 472

Answer: D — 472

D) Correct — 761−289=472. B/C) miscount. A) miscount hundreds.

800 − 375 = ?

  1. 425
  2. 435
  3. 415
  4. 525

Answer: A — 425

A) Correct — 800−375=425. B/C) miscount. D) miscount hundreds.

584 + 273 = ?

  1. 867
  2. 847
  3. 857
  4. 757

Answer: C — 857

C) Correct — 4+3=7, 8+7=15, 5+2+1=8 → 857. B/A) miscarry. D) subtracted top.

Round 305 to the nearest 100.

  1. 350
  2. 400
  3. 310
  4. 300

Answer: D — 300

D) Correct — tens 0 < 5, round down. B) wrong direction. C) that's nearest 10. A) not multiple.

742 − 356 = ?

  1. 386
  2. 396
  3. 376
  4. 486

Answer: A — 386

A) Correct — 742−356=386. B/C) miscount. D) miscount hundreds.

123 + 456 = ?

  1. 479
  2. 569
  3. 589
  4. 579

Answer: D — 579

D) Correct — 3+6=9, 2+5=7, 1+4=5 → 579. B/C) miscarry. A) miscarry hundreds.

178 + 823 = ?

  1. 1011
  2. 991
  3. 901
  4. 1001

Answer: D — 1001

D) Correct — 8+3=11, 7+2+1=10, 1+8+1=10 → 1001. B) miscarry. C) missed hundreds. A) miscarry.

3rd Math: Number & Operations Base Ten flashcards

6 sample cards from the 50 in the bank.

Round 145 to the nearest 10.

150.

What is 5 × 70?

350.

Round 47 to the nearest 10.

50. (Ones digit 7 ≥ 5, round up.)

What is 845 − 327?

518.

What is 500 − 367?

133.

What is 354 + 196?

550.

Practise the full 3rd Math: Number & Operations Base Ten 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: Number & Operations Base Ten — frequently asked

How many 3rd Math: Number & Operations Base Ten practice questions does CoStudy have?

The 3rd Math: Number & Operations Base Ten bank holds 210 items: 150 multiple-choice questions, 50 flashcards and 10 scenario-based simulations. 18 of them are on this page to read free, with no signup.

Do the 3rd Math: Number & Operations Base Ten questions come with explanations?

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.

What is on the 3rd Math: Number & Operations Base Ten exam?

Common Core State Standards (CCSS) — Mathematics, Grade 3: Number & Operations in Base Ten (3.NBT.A.1-3). Public standards from corestandards.org.

Are the 3rd Math: Number & Operations Base Ten practice questions free?

The samples on this page are free to read in full, rationales included, with no account. The complete 210-item bank, the timed mock exams and per-chapter progress tracking are part of CoStudy on the web and in the iOS app.

How current is the 3rd Math: Number & Operations Base Ten content?

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.

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