Free Grade 3 Mixed Numbers Quizzes
Free Grade 3 quizzes for Mixed Numbers: 12 real questions with a full answer key and worked solutions. A mixed number has a whole part and a fraction. An improper fraction has a numerator bigger than its denominator. Both can describe the same amount.
Free
Higher
15 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain mixed numbers
Explain mixed numbers accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate mixed numbers
Calculate mixed numbers accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare mixed numbers
Compare mixed numbers accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify mixed numbers
Justify mixed numbers accurately in a familiar context.
Assessed by: Exit ticket of four short items
Prerequisites
Close these gaps first — each has its own free lesson, worksheet and quiz.
How Mixed Numbers works
A mixed number has a whole part and a fraction. An improper fraction has a numerator bigger than its denominator. Both can describe the same amount.
12 practice questions
Easy to hard, 24 marks in total. Try them first, then open the answers.
- 1.Write 3 5/8 as an improper fraction.[1]
- 2.Write 1 1/5 as an improper fraction.[1]
- 3.Write 3 1/2 as an improper fraction.[1]
- 4.Write 3 4/5 as an improper fraction.[1]
- 5.Write 20/3 as a mixed number.[2]
- 6.Write 13/3 as a mixed number.[2]
- 7.Write 7/2 as a mixed number.[2]
- 8.Write 47/7 as a mixed number.[2]
- 9.Write 3 6/9 as an improper fraction.[3]
- 10.Write 6 4/9 as an improper fraction.[3]
- 11.Write 6 3/5 as an improper fraction.[3]
- 12.Write 6 2/5 as an improper fraction.[3]
Show answers and working
1. 29/8
3 wholes = 24/8. 24 + 5 = 29. = 29/8
2. 6/5
1 wholes = 5/5. 5 + 1 = 6. = 6/5
3. 7/2
3 wholes = 6/2. 6 + 1 = 7. = 7/2
4. 19/5
3 wholes = 15/5. 15 + 4 = 19. = 19/5
5. 6 2/3
20 ÷ 3 = 6 remainder 2. 6 wholes and 2/3 left: 6 2/3.
6. 4 1/3
13 ÷ 3 = 4 remainder 1. 4 wholes and 1/3 left: 4 1/3.
7. 3 1/2
7 ÷ 2 = 3 remainder 1. 3 wholes and 1/2 left: 3 1/2.
8. 6 5/7
47 ÷ 7 = 6 remainder 5. 6 wholes and 5/7 left: 6 5/7.
9. 33/9
3 wholes = 27/9. 27 + 6 = 33. = 33/9
10. 58/9
6 wholes = 54/9. 54 + 4 = 58. = 58/9
11. 33/5
6 wholes = 30/5. 30 + 3 = 33. = 33/5
12. 32/5
6 wholes = 30/5. 30 + 2 = 32. = 32/5
Worked examples
Write 1 1/4 as an improper fraction.
- 1 wholes = 4/4.
- 4 + 1 = 5.
- = 5/4
- Answer: 5/4
Write 21/6 as a mixed number.
- 21 ÷ 6 = 3 remainder 3.
- 3 wholes and 3/6 left: 3 3/6.
- Answer: 3 3/6
Write 9 1/2 as an improper fraction.
- 9 wholes = 18/2.
- 18 + 1 = 19.
- = 19/2
- Answer: 19/2
Interactive practice
Free, no account required — answer on screen or print it.
Common mistakes
What learners typically get wrong, and how to fix it.
Multiplies the whole number by the numerator.
Correction: Multiply the whole by the denominator, then add the numerator.
Ignores the remainder when converting back.
Correction: The remainder becomes the new numerator.
Teacher tips
- · Draw the wholes as full circles before converting.
Parent tips
- · Count halves of oranges: 5 halves = 2 1/2 oranges.
Real-life applications
- · 2 1/2 pizzas, 1 3/4 hours.
Assessment objectives
How mastery is evidenced, and which standards it maps to.
Every free resource for Mixed Numbers
One concept, one ecosystem — all of it free.
Goes deeper
The entities below this one, each with the same complete free resource set.
Sibling concepts
Related concepts
Lateral links, including across subjects.
Next topics
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Learn — Meet the idea.
Practice — Build fluency.
Revise — Keep it in memory.
Assess — Prove mastery.
Apply — Use it in context.
Teach — Deliver it to a class.
Frequently asked
- Is this Grade 3 Mixed Numbers quiz really free?
- Yes. Every quizzes on FreeMathWorksheet is free to use, print and share — no account, no paywall and no watermark.
- What should a learner already know before this?
- Start with Improper Fractions, Proper Fractions, Integers. Each one has its own free lesson, worksheet and quiz.
- How is the quiz sequenced?
- Recognition first, then understanding, application, reasoning and finally mastery — the same ladder used across every free resource on the platform.
- What comes next after Mixed Numbers?
- Move on to Equivalent Fractions, Simplifying Fractions, Comparing Fractions, Ordering Fractions, which build directly on this idea.
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