Fraction Quiz: 10 Questions, Worked Answers and a Final Challenge
Try these fraction questions on paper before opening each answer. The five pairs move from recognizing equivalent fractions to explaining a word problem. You need multiplication facts and a basic understanding of equal parts; use fraction strips or drawings when a calculation feels abstract.

Planning resource, not an automatic game import.
Create an account at https://www.areyousmartergame.com/create to enter selected questions manually.

CHOOSE A SHORT PRACTICE OR A FULL ROUND
For a five-minute check, use the first question in each pair. For a discussion game, use both questions and allow time to draw a model. Accept equivalent fractions unless the prompt asks for simplest form. The host sheet contains the answers, so keep it private during play.
Suggested fraction review route
Pair | Skill | Look for
1 | Equivalent fractions | Scaling numerator and denominator together
2 | Comparing | Comparing the same-sized whole
3 | Adding and subtracting | A common denominator
4 | Fractions of a quantity | Dividing before multiplying
5 | Mixed numbers | Keeping track of whole units

1. EQUIVALENT FRACTIONS
1. [Warmup] Write 6/8 in simplest form.
Answer: 3/4
Why: Divide both 6 and 8 by their common factor 2. Dividing only the numerator would change the fraction.

2. [Core practice] Fill the blank: 3/5 = __/20.
Answer: 12
Why: The denominator was multiplied by 4, so multiply the numerator by 4 as well: 3 × 4 = 12.


2. COMPARE THE SAME WHOLE
1. [Core practice] Which is greater, 5/6 or 3/4? Both refer to equal-sized wholes.
Answer: 5/6
Why: Use twelfths: 5/6 = 10/12 and 3/4 = 9/12. Ten twelfths is greater.

2. [Stretch] Put 1/2, 2/3 and 3/8 in order from least to greatest.
Answer: 3/8, 1/2, 2/3
Why: In twenty-fourths the fractions are 9/24, 12/24 and 16/24. A larger denominator alone does not mean a larger fraction.


3. ADD AND SUBTRACT
1. [Core practice] What is 1/4 + 3/8 in simplest form?
Answer: 5/8
Why: One fourth is two eighths. Add 2/8 + 3/8; the equal-sized parts stay eighths.

2. [Stretch] A full bottle holds 1 liter. You pour out 2/5 liter, then 1/10 liter. How much remains?
Answer: 1/2 liter
Why: Write the full liter as 10/10. Subtract 4/10 and 1/10 to leave 5/10, or 1/2 liter.


4. FIND A FRACTION OF A QUANTITY
1. [Core practice] What is 3/4 of 28 counters?
Answer: 21 counters
Why: One fourth is 28 ÷ 4 = 7. Three fourths is 7 × 3 = 21.

2. [Core practice] A class has 30 students. Two fifths choose art. How many choose art?
Answer: 12 students
Why: Split 30 into five equal groups of 6, then take two groups: 6 × 2 = 12.


5. WORK WITH MIXED NUMBERS
1. [Core practice] Write 13/4 as a mixed number.
Answer: 3 1/4
Why: Twelve fourths makes three wholes, with one fourth left.

2. [Stretch] One ribbon is 1 1/2 meters long and another is 2 3/4 meters. What is their total length?
Answer: 4 1/4 meters
Why: Add 1 2/4 + 2 3/4 = 3 5/4. Exchange four fourths for another whole.


SEPARATE FINAL CHALLENGE: EXPLAIN THE LEFTOVER
If someone answers 10, ask which whole they used at lunchtime: they may have subtracted one fourth of the original tray. Let them redraw the 16 muffins that remain. For multiple choice in the builder, use 10, 12, 14 and 16; mark 12 correct.
1. [Final Challenge] A tray starts with 24 muffins. One third are eaten at breakfast, then one fourth of the remaining muffins are eaten at lunch. How many remain?
Answer: 12 muffins
Why: Breakfast uses 8, leaving 16. Lunch uses one fourth of 16, or 4, leaving 12. The second fraction refers to the new amount, not the original 24.


USE MISTAKES TO CHOOSE THE NEXT QUESTION
- Adding denominators: draw fourths and eighths of the same strip before trying pair 3 again.
- Comparing just numerators: ask for a common denominator or a number-line position.
- Losing units: have the learner name counters, students, liters or meters in the final answer.
- Finishing early: ask for a second solution method rather than a longer calculation.

TURN THE PRACTICE INTO A GAME BOARD
Use five categories: Equivalent, Compare, Add & Subtract, Fraction of a Set, and Mixed Numbers. The two questions in each numbered section make a ten-question board. Keep the Final Challenge separate. These are original practice materials; choose skills your group has studied rather than treating the result as a grade-level assessment.
Open the template library, select 5th Grade General Review, and choose Use Template. Rename the five Categories, then replace the ten regular prompts in Add Questions. Choose Open-ended for these written-response prompts and enter the accepted answer and explanation. Keep or edit the separate Final Challenge. Use Review & Launch and Practice Mode to check the board before hosting. An account is required; the downloadable text is a planning sheet, not an automatic import.
Keep scratch paper available. For a whole-class paper version, award one point for an accepted answer and discuss the method afterward; this tally is separate from the app's normal scoring.
Open the template library (account required): https://www.areyousmartergame.com/dashboard/templates
Preview a starter board before signing in: https://www.areyousmartergame.com/templates
Check the turn and Final Challenge rules: https://www.areyousmartergame.com/how-to-play