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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 4: Number & Operations — Fractions (4.NF.A.1-2, 4.NF.B.3-4, 4.NF.C.5-7). Public standards from corestandards.org.
CoStudy's 4th 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.
Ali has 3/5 lb of nuts, buys 1/5 more. Total?
Answer: C — 4/5 lb
C) Correct. B/C/D) miscount.
Compare: 5/6 ___ 7/8 (use common denom 24).
Answer: A — <
5/6 = 20/24; 7/8 = 21/24; 20 < 21. (B),(C),(D) wrong.
8/10 − 3/10 = ?
Answer: C — 5/10
C) Correct = 1/2. B) impossible. C/D) wrong.
Add: 0.35 + 0.42 = ?
Answer: C — 0.77
C) Correct. B/C/D) wrong.
What is 7/8 − 3/8?
Answer: A — 4/8
A) Correct — subtract the numerators and keep the denominator: 7 − 3 = 4, so 4/8. B) 4/0 has a denominator of zero, which doesn't work. C) 10/8 comes from adding instead of subtracting. D) 4 drops the denominator and keeps only the numerator.
Convert 5 2/3 to improper.
Answer: A — 17/3
A) Correct — 5×3+2=17. B/C/D) miscount.
Simplify 6/9.
Answer: B — 2/3
B) Correct — divide by 3. B/C) different. D) not simplified.
5 × 2/6 = ?
Answer: D — 10/6
D) Correct = 1 4/6 = 1 2/3. B) mult denoms. C/A) wrong.
Ana has 0.4 of a bag; Ben has 0.4. Total?
Answer: D — 0.8
D) Correct. B/C/A) wrong.
3 1/4 − 1 3/4 = ?
Answer: D — 1 2/4
D) Correct — 2 5/4 − 1 3/4 = 1 2/4 = 1 1/2. B/C/A) miscount.
7/100 as a decimal is:
Answer: B — 0.07
7/100 = 0.07. (A) is 7/10; (C),(D) wrong magnitude.
3 5/6 + 2 4/6 = ?
Answer: C — 6 3/6
C) Correct — 3+2+9/6 = 5 + 1 3/6 = 6 3/6 = 6 1/2. B) unsimplified. C/D) miscount.
6 sample cards from the 75 in the bank.
Compare 5/8 and 7/12. Which is greater?
5/8. Common denominator (24): 15/24 vs. 14/24 → 5/8 is greater.
What is 5 × 2/3?
10/3 (or 3 1/3).
Compare 2/5 and 3/8. Which is greater?
2/5. Common denominator (40): 16/40 vs. 15/40 → 16/40 is greater.
Word: Maria ate 3/8 of a pizza. Tom ate 2/8 more. What fraction did they eat together?
5/8.
Word: A wall is 1/2 painted blue and 1/4 painted yellow. What fraction is painted?
3/4. (Use common denominator: 2/4 + 1/4 = 3/4.)
What is an 'improper fraction'?
A fraction where the numerator is ≥ the denominator. Like 7/4 or 5/3.
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 4th 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 4: Number & Operations — Fractions (4.NF.A.1-2, 4.NF.B.3-4, 4.NF.C.5-7). 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.