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150 multiple-choice questions, 75 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: Number & Operations — Fractions (3.NF.A.1-3a-d). Denominators 2, 3, 4, 6, 8. Public standards from corestandards.org.
CoStudy's 3rd Math: Fractions 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.
A sample of 12 multiple-choice questions from the bank, with the full rationale shown.
Is 2/8 = 1/4?
Answer: D — Yes
D) Correct. B/C/A) wrong.
In 3/4, the bottom number (4) is called the:
Answer: B — Denominator
Denominator = bottom (total parts). (A) is top; (C),(D) different.
Which of these fractions equals a whole? 3/3, 4/8, 6/6
Answer: C — 3/3 and 6/6
C) Correct — anything a/a=1. B) that's 1/2. C/D) wrong.
Pizza has 6 slices. Ryan eats 1/3. Slices eaten?
Answer: A — 2
A) Correct — 1/3 of 6 = 2. B) 1/2. C) all. D) 1/6.
Which is bigger: 1/2 or 1/3?
Answer: D — 1/2
D) Correct — same numerator, smaller denom = bigger piece. B) smaller. C/A) wrong.
A bar is split into 4 equal parts and 3 are shaded. What fraction?
Answer: C — 3/4
C) Correct — 3 shaded of 4 total. B) unshaded. A) reversed. D) wrong denom.
On a number line, is 3/4 between 0 and 1?
Answer: C — Yes
C) Correct — 3/4 is a proper fraction. B/C/D) wrong.
A candy bar with 8 pieces. 3 are eaten. What fraction remains?
Answer: D — 5/8
D) Correct — 8−3=5 remaining of 8. B) eaten. C/A) reversed.
Sara reads 3/8 of a book. Then 2/8 more. Total?
Answer: A — 5/8
A) Correct — 3/8 + 2/8 = 5/8. B) added denoms. C) subtracted. D) miscount.
Which is equivalent to 3/4?
Answer: B — 6/8
3/4 × 2/2 = 6/8. (A),(C),(D) wrong.
Which fraction is closer to 0 on a number line: 1/8 or 7/8?
Answer: C — 1/8
C) Correct — 1/8 is near the 0 end. B) near 1. C/D) wrong.
Which fraction equals 3/1?
Answer: B — 3
B) Correct — 3 wholes. A) reversed. C) 1 whole. D) 1.
6 sample cards from the 75 in the bank.
Is 8/8 equal to 1?
Yes! Any fraction where numerator = denominator equals 1.
5/6 means I have 5 of what unit fraction?
5 copies of 1/6.
Is 5/5 equal to 1?
Yes! 5/5 = 1 whole.
How can you find an equivalent fraction?
Multiply (or divide) BOTH the top and bottom by the same number. 1/2 × 3/3 = 3/6 (same value).
If 3 friends share a pizza equally, what fraction does each get?
1/3.
Which is greater: 2/6 or 4/6?
4/6.
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.
The 3rd Math: Fractions 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.
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: Number & Operations — Fractions (3.NF.A.1-3a-d). Denominators 2, 3, 4, 6, 8. Public standards from corestandards.org.
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.
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.