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25 multiple-choice questions and 75 flashcards, written to the Common Core State Standards blueprint. Every question carries a full rationale.
Study 5th Math: Fractions in CoStudy →
Common Core State Standards (CCSS) — Mathematics, Grade 5: Number & Operations — Fractions (5.NF.A.1-2, 5.NF.B.3-7). Public standards from corestandards.org.
CoStudy's 5th Math: Fractions bank holds 100 items. Every multiple-choice question carries a written rationale explaining why the correct answer is correct and why each distractor is tempting but wrong.
A sample of 12 multiple-choice questions from the bank, with the full rationale shown.
What is 2/3 + 1/6?
Answer: B — 5/6
Common denom 6: 4/6 + 1/6 = 5/6. (A),(C),(D) wrong.
What is 4 ÷ 1/3?
Answer: A — 12
4 ÷ 1/3 = 4 × 3 = 12. (B),(C),(D) wrong.
Word: 5 pounds of nuts split into 1/2-pound bags. How many bags?
Answer: D — 10
5 ÷ 1/2 = 5 × 2 = 10. (B),(C),(A) wrong.
Estimate: 7/8 + 1/9. Is it closer to 0, 1/2, or 1?
Answer: C — 1
7/8 ≈ 1; 1/9 ≈ 0; sum ≈ 1. (A),(B),(D) misestimate.
What is 1/3 ÷ 2?
Answer: A — 1/6
1/3 × 1/2 = 1/6. (B),(C),(D) wrong.
Word: A 3-foot ribbon is cut into 1/4-foot pieces. How many pieces?
Answer: A — 12
3 ÷ 1/4 = 3 × 4 = 12. (B),(C),(D) wrong.
What is 1/2 × 1/3?
Answer: D — 1/6
1×1=1, 2×3=6. (B),(C),(A) wrong.
What is 2 1/2 × 4?
Answer: D — 10
2 1/2 = 5/2; 5/2 × 4 = 20/2 = 10. (B),(C),(A) wrong.
What is 1/2 ÷ 4?
Answer: A — 1/8
1/2 ÷ 4 = 1/2 × 1/4 = 1/8. (B),(C),(D) wrong.
What is 3/4 − 1/3?
Answer: C — 5/12
Common denom 12: 9/12 − 4/12 = 5/12. (B),(A),(D) wrong.
Three pizzas shared by 8 students. Each gets ___ pizza.
Answer: D — 3/8
3 ÷ 8 = 3/8. (A) inverts; (C),(B) misread.
What is 6 ÷ 1/2?
Answer: C — 12
6 ÷ 1/2 = 6 × 2 = 12. (B) divides by 2 instead; (A),(D) wrong.
6 sample cards from the 75 in the bank.
Word: 3 friends share 1/4 lb of candy equally. How much each?
1/12 lb each. (1/4 ÷ 3 = 1/12.)
Simplify 9/12.
3/4.
Word: A board is 6 feet long. How many 1/2-foot pieces can you cut?
12 pieces. (6 ÷ 1/2 = 12.)
What is 2 1/2 + 1 1/4?
3 3/4.
Word: A bag has 12 lbs of feed. Each bird gets 1/4 lb. How many birds can you feed?
48 birds. (12 ÷ 1/4 = 48.)
Convert 3 2/5 to an improper fraction.
17/5.
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 5th Math: Fractions bank holds 100 items: 25 multiple-choice questions, 75 flashcards. 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 5: Number & Operations — Fractions (5.NF.A.1-2, 5.NF.B.3-7). Public standards from corestandards.org.
The samples on this page are free to read in full, rationales included, with no account. The complete 100-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.