Free Grade 3 Working with Range Quizzes
Free Grade 3 quizzes for Working with Range: 12 real questions with a full answer key and worked solutions. The mean is the total divided by how many values. The median is the middle value in order. The mode is the most common. The range is largest minus smallest.
Free
Higher
30 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain working with range
Explain working with range accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with range
Calculate working with range accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with range
Compare working with range accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with range
Justify working with range 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 Working with Range works
The mean is the total divided by how many values. The median is the middle value in order. The mode is the most common. The range is largest minus smallest.
12 practice questions
Easy to hard, 24 marks in total. Try them first, then open the answers.
- 1.For the data 7, 11, 14, 17, 18, find the mean, median, mode and range.[1]
- 2.For the data 2, 5, 15, 16, 17, find the mean, median, mode and range.[1]
- 3.For the data 8, 10, 11, 11, 17, find the mean, median, mode and range.[1]
- 4.For the data 3, 9, 16, 17, 18, find the mean, median, mode and range.[1]
- 5.For the data 10, 21, 21, 31, 33, 35, 39, find the mean, median, mode and range.[2]
- 6.For the data 7, 12, 28, 28, 28, 29, 31, find the mean, median, mode and range.[2]
- 7.For the data 14, 27, 28, 28, 31, 34, 38, find the mean, median, mode and range.[2]
- 8.For the data 6, 7, 9, 12, 25, 34, 39, find the mean, median, mode and range.[2]
- 9.For the data 17, 18, 21, 23, 36, 37, 45, 53, 54, find the mean, median, mode and range.[3]
- 10.For the data 9, 19, 24, 32, 37, 45, 48, 51, 59, find the mean, median, mode and range.[3]
- 11.For the data 1, 5, 18, 23, 28, 31, 36, 38, 49, find the mean, median, mode and range.[3]
- 12.For the data 18, 28, 30, 34, 37, 39, 44, 56, 59, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 13.4, median 14, mode none, range 11
Mean = 67 ÷ 5 = 13.4. Median = middle value in order = 14. Mode = most common = no repeated value. Range = 18 − 7 = 11.
2. Mean 11, median 15, mode none, range 15
Mean = 55 ÷ 5 = 11. Median = middle value in order = 15. Mode = most common = no repeated value. Range = 17 − 2 = 15.
3. Mean 11.4, median 11, mode 11, range 9
Mean = 57 ÷ 5 = 11.4. Median = middle value in order = 11. Mode = most common = 11. Range = 17 − 8 = 9.
4. Mean 12.6, median 16, mode none, range 15
Mean = 63 ÷ 5 = 12.6. Median = middle value in order = 16. Mode = most common = no repeated value. Range = 18 − 3 = 15.
5. Mean 27.14, median 31, mode 21, range 29
Mean = 190 ÷ 7 = 27.14. Median = middle value in order = 31. Mode = most common = 21. Range = 39 − 10 = 29.
6. Mean 23.29, median 28, mode 28, range 24
Mean = 163 ÷ 7 = 23.29. Median = middle value in order = 28. Mode = most common = 28. Range = 31 − 7 = 24.
7. Mean 28.57, median 28, mode 28, range 24
Mean = 200 ÷ 7 = 28.57. Median = middle value in order = 28. Mode = most common = 28. Range = 38 − 14 = 24.
8. Mean 18.86, median 12, mode none, range 33
Mean = 132 ÷ 7 = 18.86. Median = middle value in order = 12. Mode = most common = no repeated value. Range = 39 − 6 = 33.
9. Mean 33.78, median 36, mode none, range 37
Mean = 304 ÷ 9 = 33.78. Median = middle value in order = 36. Mode = most common = no repeated value. Range = 54 − 17 = 37.
10. Mean 36, median 37, mode none, range 50
Mean = 324 ÷ 9 = 36. Median = middle value in order = 37. Mode = most common = no repeated value. Range = 59 − 9 = 50.
11. Mean 25.44, median 28, mode none, range 48
Mean = 229 ÷ 9 = 25.44. Median = middle value in order = 28. Mode = most common = no repeated value. Range = 49 − 1 = 48.
12. Mean 38.33, median 37, mode none, range 41
Mean = 345 ÷ 9 = 38.33. Median = middle value in order = 37. Mode = most common = no repeated value. Range = 59 − 18 = 41.
Worked examples
For the data 3, 3, 5, 14, 20, find the mean, median, mode and range.
- Mean = 45 ÷ 5 = 9.
- Median = middle value in order = 5.
- Mode = most common = 3.
- Range = 20 − 3 = 17.
- Answer: Mean 9, median 5, mode 3, range 17
For the data 11, 11, 23, 28, 30, 31, 35, find the mean, median, mode and range.
- Mean = 169 ÷ 7 = 24.14.
- Median = middle value in order = 28.
- Mode = most common = 11.
- Range = 35 − 11 = 24.
- Answer: Mean 24.14, median 28, mode 11, range 24
For the data 4, 16, 30, 32, 34, 34, 50, 53, 57, find the mean, median, mode and range.
- Mean = 310 ÷ 9 = 34.44.
- Median = middle value in order = 34.
- Mode = most common = 34.
- Range = 57 − 4 = 53.
- Answer: Mean 34.44, median 34, mode 34, range 53
Interactive practice
Free, no account required — answer on screen or print it.
Common mistakes
What learners typically get wrong, and how to fix it.
Finds the median without ordering the data.
Correction: Always put the numbers in order first.
Gives the range as the two end numbers.
Correction: Range is one number: largest minus smallest.
Teacher tips
- · Collect real class data (heights, shoe sizes).
Parent tips
- · Work out your average bedtime over a week.
Real-life applications
- · Sports averages, typical prices, test scores.
Assessment objectives
How mastery is evidenced, and which standards it maps to.
Every free resource for Working with Range
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Learn — Meet the idea.
Practice — Build fluency.
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Assess — Prove mastery.
Apply — Use it in context.
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Frequently asked
- Is this Grade 3 Working with Range 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 Introducing Range, Mode. 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 Working with Range?
- Move on to Range in Context, Mean, Median, Mode, which build directly on this idea.
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