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4th Math: Number & Operations Base Ten practice questions and exam guide

150 multiple-choice questions, 75 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 4th Math: Number & Operations Base Ten exam

Common Core State Standards (CCSS) — Mathematics, Grade 4: Number & Operations in Base Ten (4.NBT.A.1-3, 4.NBT.B.4-6). Public standards from corestandards.org.

CoStudy's 4th Math: Number & Operations Base Ten bank holds 235 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: Number & Operations Base Ten practice questions

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

Write 'six thousand three hundred forty-five' in standard form.

  1. 6,543
  2. 6,435
  3. 6,453
  4. 6,345

Answer: D — 6,345

6,000 + 300 + 40 + 5 = 6,345. (B),(C),(A) wrong order.

Which number equals 30,000 + 4,000 + 200 + 5?

  1. 342,005
  2. 34,025
  3. 3,425
  4. 34,205

Answer: D — 34,205

D) Correct. B) tens vs hundreds swapped. C) missing 10k. A) extra place.

100,000 − 1 = ?

  1. 90,999
  2. 99,990
  3. 100,000
  4. 99,999

Answer: D — 99,999

D) Correct. B/C/A) wrong.

864 ÷ 4 = ?

  1. 260
  2. 214
  3. 226
  4. 216

Answer: D — 216

D) Correct. B/C/A) miscount.

5,400 ÷ 6 = ?

  1. 900
  2. 800
  3. 90
  4. 1,000

Answer: A — 900

A) Correct. B/C/D) miscount.

850 cookies are packed in 6 boxes equally. How many per box?

  1. 141
  2. 141 r 4
  3. 142
  4. 140 r 10

Answer: B — 141 r 4

6 × 141 = 846, remainder 4. (A) drops remainder; (C),(D) wrong.

A city's population changed from 254,876 to 289,013. Increase?

  1. 34,237
  2. 35,137
  3. 33,137
  4. 34,137

Answer: D — 34,137

D) Correct. B/C/A) miscount.

2,340 ÷ 4 = ?

  1. 585
  2. 575
  3. 595
  4. 580

Answer: A — 585

A) Correct. B/C/D) miscount.

567 ÷ 7. Quotient and remainder?

  1. 81 r 0
  2. 80 r 7
  3. 81 r 5
  4. 80 r 0

Answer: A — 81 r 0

7 × 81 = 567 exactly. (B),(C),(D) wrong.

Round 78,499 to nearest thousand.

  1. 80,000
  2. 79,000
  3. 78,000
  4. 77,000

Answer: C — 78,000

C) Correct — 499 < 500. B) rounded up. C/D) wrong place.

780 ÷ 5 = ?

  1. 155
  2. 146
  3. 166
  4. 156

Answer: D — 156

D) Correct. B/C/A) miscount.

9,001 − 4,678 = ?

  1. 5,323
  2. 4,423
  3. 4,223
  4. 4,323

Answer: D — 4,323

D) Correct. B/C/A) miscount.

4th Math: Number & Operations Base Ten flashcards

6 sample cards from the 75 in the bank.

What is 50 × 60?

3,000.

What is 12,345 + 8,765?

21,110.

What does '10 times' mean for place value?

Each place is 10 times the place to its right. The 4 in 4,000 is 10× the 4 in 400.

What is 12 × 1000?

12,000.

Round 67,892 to the nearest ten-thousand.

70,000. (Thousands digit 7 → round up.)

Word: 432 candies split into 9 equal bags. How many per bag?

48. 432 ÷ 9 = 48.

Practise the full 4th 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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4th Math: Number & Operations Base Ten — frequently asked

How many 4th Math: Number & Operations Base Ten practice questions does CoStudy have?

The 4th Math: Number & Operations Base Ten bank holds 235 items: 150 multiple-choice questions, 75 flashcards and 10 scenario-based simulations. 18 of them are on this page to read free, with no signup.

Do the 4th 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 4th Math: Number & Operations Base Ten exam?

Common Core State Standards (CCSS) — Mathematics, Grade 4: Number & Operations in Base Ten (4.NBT.A.1-3, 4.NBT.B.4-6). Public standards from corestandards.org.

Are the 4th 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 235-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 4th 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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