Free Grade 3 Working with Range Word Problems Quizzes
Free Grade 3 quizzes for Working with Range Word Problems: 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
Core
30 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify working with range word problems
Identify working with range word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with range word problems
Explain working with range word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with range word problems
Calculate working with range word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with range word problems
Compare working with range word problems 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 Word Problems 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 4, 6, 9, 14, 19, find the mean, median, mode and range.[1]
- 2.For the data 7, 9, 9, 9, 19, find the mean, median, mode and range.[1]
- 3.For the data 6, 8, 13, 14, 16, find the mean, median, mode and range.[1]
- 4.For the data 2, 8, 10, 14, 20, find the mean, median, mode and range.[1]
- 5.For the data 1, 2, 3, 3, 4, 33, 36, find the mean, median, mode and range.[2]
- 6.For the data 1, 3, 4, 21, 26, 27, 36, find the mean, median, mode and range.[2]
- 7.For the data 1, 5, 13, 21, 32, 35, 38, find the mean, median, mode and range.[2]
- 8.For the data 14, 14, 15, 27, 36, 36, 40, find the mean, median, mode and range.[2]
- 9.For the data 4, 23, 36, 41, 45, 53, 54, 57, 57, find the mean, median, mode and range.[3]
- 10.For the data 6, 11, 12, 19, 22, 24, 31, 55, 58, find the mean, median, mode and range.[3]
- 11.For the data 2, 18, 24, 25, 29, 30, 43, 49, 52, find the mean, median, mode and range.[3]
- 12.For the data 1, 6, 18, 24, 34, 41, 41, 47, 52, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 10.4, median 9, mode none, range 15
Mean = 52 ÷ 5 = 10.4. Median = middle value in order = 9. Mode = most common = no repeated value. Range = 19 − 4 = 15.
2. Mean 10.6, median 9, mode 9, range 12
Mean = 53 ÷ 5 = 10.6. Median = middle value in order = 9. Mode = most common = 9. Range = 19 − 7 = 12.
3. Mean 11.4, median 13, mode none, range 10
Mean = 57 ÷ 5 = 11.4. Median = middle value in order = 13. Mode = most common = no repeated value. Range = 16 − 6 = 10.
4. Mean 10.8, median 10, mode none, range 18
Mean = 54 ÷ 5 = 10.8. Median = middle value in order = 10. Mode = most common = no repeated value. Range = 20 − 2 = 18.
5. Mean 11.71, median 3, mode 3, range 35
Mean = 82 ÷ 7 = 11.71. Median = middle value in order = 3. Mode = most common = 3. Range = 36 − 1 = 35.
6. Mean 16.86, median 21, mode none, range 35
Mean = 118 ÷ 7 = 16.86. Median = middle value in order = 21. Mode = most common = no repeated value. Range = 36 − 1 = 35.
7. Mean 20.71, median 21, mode none, range 37
Mean = 145 ÷ 7 = 20.71. Median = middle value in order = 21. Mode = most common = no repeated value. Range = 38 − 1 = 37.
8. Mean 26, median 27, mode 14 and 36, range 26
Mean = 182 ÷ 7 = 26. Median = middle value in order = 27. Mode = most common = 14 and 36. Range = 40 − 14 = 26.
9. Mean 41.11, median 45, mode 57, range 53
Mean = 370 ÷ 9 = 41.11. Median = middle value in order = 45. Mode = most common = 57. Range = 57 − 4 = 53.
10. Mean 26.44, median 22, mode none, range 52
Mean = 238 ÷ 9 = 26.44. Median = middle value in order = 22. Mode = most common = no repeated value. Range = 58 − 6 = 52.
11. Mean 30.22, median 29, mode none, range 50
Mean = 272 ÷ 9 = 30.22. Median = middle value in order = 29. Mode = most common = no repeated value. Range = 52 − 2 = 50.
12. Mean 29.33, median 34, mode 41, range 51
Mean = 264 ÷ 9 = 29.33. Median = middle value in order = 34. Mode = most common = 41. Range = 52 − 1 = 51.
Worked examples
For the data 7, 11, 11, 18, 20, find the mean, median, mode and range.
- Mean = 67 ÷ 5 = 13.4.
- Median = middle value in order = 11.
- Mode = most common = 11.
- Range = 20 − 7 = 13.
- Answer: Mean 13.4, median 11, mode 11, range 13
For the data 2, 7, 10, 10, 12, 14, 26, find the mean, median, mode and range.
- Mean = 81 ÷ 7 = 11.57.
- Median = middle value in order = 10.
- Mode = most common = 10.
- Range = 26 − 2 = 24.
- Answer: Mean 11.57, median 10, mode 10, range 24
For the data 8, 13, 20, 23, 24, 25, 40, 43, 43, find the mean, median, mode and range.
- Mean = 239 ÷ 9 = 26.56.
- Median = middle value in order = 24.
- Mode = most common = 43.
- Range = 43 − 8 = 35.
- Answer: Mean 26.56, median 24, mode 43, range 35
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.
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Frequently asked
- Is this Grade 3 Working with Range Word Problems 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 Working with Range Techniques, Working with Range Essentials, Introducing Range. 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 Word Problems?
- Move on to Working with Range Common Errors, Introducing Range, Range in Context, which build directly on this idea.
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