Free Grade 3 Working with Range Flashcards
Free Grade 3 flashcards 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 6, 7, 9, 10, 13, find the mean, median, mode and range.[1]
- 2.For the data 7, 8, 11, 17, 19, find the mean, median, mode and range.[1]
- 3.For the data 9, 14, 15, 16, 18, find the mean, median, mode and range.[1]
- 4.For the data 1, 12, 15, 18, 18, find the mean, median, mode and range.[1]
- 5.For the data 1, 3, 6, 21, 28, 31, 40, find the mean, median, mode and range.[2]
- 6.For the data 3, 4, 16, 18, 19, 21, 31, find the mean, median, mode and range.[2]
- 7.For the data 2, 7, 12, 13, 20, 24, 30, find the mean, median, mode and range.[2]
- 8.For the data 2, 4, 9, 9, 20, 21, 28, find the mean, median, mode and range.[2]
- 9.For the data 2, 18, 18, 29, 43, 53, 55, 56, 57, find the mean, median, mode and range.[3]
- 10.For the data 2, 14, 17, 19, 19, 41, 42, 49, 58, find the mean, median, mode and range.[3]
- 11.For the data 3, 13, 22, 27, 31, 32, 42, 49, 54, find the mean, median, mode and range.[3]
- 12.For the data 1, 3, 25, 25, 26, 27, 32, 53, 54, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 9, median 9, mode none, range 7
Mean = 45 ÷ 5 = 9. Median = middle value in order = 9. Mode = most common = no repeated value. Range = 13 − 6 = 7.
2. Mean 12.4, median 11, mode none, range 12
Mean = 62 ÷ 5 = 12.4. Median = middle value in order = 11. Mode = most common = no repeated value. Range = 19 − 7 = 12.
3. Mean 14.4, median 15, mode none, range 9
Mean = 72 ÷ 5 = 14.4. Median = middle value in order = 15. Mode = most common = no repeated value. Range = 18 − 9 = 9.
4. Mean 12.8, median 15, mode 18, range 17
Mean = 64 ÷ 5 = 12.8. Median = middle value in order = 15. Mode = most common = 18. Range = 18 − 1 = 17.
5. Mean 18.57, median 21, mode none, range 39
Mean = 130 ÷ 7 = 18.57. Median = middle value in order = 21. Mode = most common = no repeated value. Range = 40 − 1 = 39.
6. Mean 16, median 18, mode none, range 28
Mean = 112 ÷ 7 = 16. Median = middle value in order = 18. Mode = most common = no repeated value. Range = 31 − 3 = 28.
7. Mean 15.43, median 13, mode none, range 28
Mean = 108 ÷ 7 = 15.43. Median = middle value in order = 13. Mode = most common = no repeated value. Range = 30 − 2 = 28.
8. Mean 13.29, median 9, mode 9, range 26
Mean = 93 ÷ 7 = 13.29. Median = middle value in order = 9. Mode = most common = 9. Range = 28 − 2 = 26.
9. Mean 36.78, median 43, mode 18, range 55
Mean = 331 ÷ 9 = 36.78. Median = middle value in order = 43. Mode = most common = 18. Range = 57 − 2 = 55.
10. Mean 29, median 19, mode 19, range 56
Mean = 261 ÷ 9 = 29. Median = middle value in order = 19. Mode = most common = 19. Range = 58 − 2 = 56.
11. Mean 30.33, median 31, mode none, range 51
Mean = 273 ÷ 9 = 30.33. Median = middle value in order = 31. Mode = most common = no repeated value. Range = 54 − 3 = 51.
12. Mean 27.33, median 26, mode 25, range 53
Mean = 246 ÷ 9 = 27.33. Median = middle value in order = 26. Mode = most common = 25. Range = 54 − 1 = 53.
Worked examples
For the data 1, 5, 9, 12, 18, find the mean, median, mode and range.
- Mean = 45 ÷ 5 = 9.
- Median = middle value in order = 9.
- Mode = most common = no repeated value.
- Range = 18 − 1 = 17.
- Answer: Mean 9, median 9, mode none, range 17
For the data 18, 20, 22, 23, 27, 30, 35, find the mean, median, mode and range.
- Mean = 175 ÷ 7 = 25.
- Median = middle value in order = 23.
- Mode = most common = no repeated value.
- Range = 35 − 18 = 17.
- Answer: Mean 25, median 23, mode none, range 17
For the data 1, 1, 11, 16, 19, 29, 41, 42, 47, find the mean, median, mode and range.
- Mean = 207 ÷ 9 = 23.
- Median = middle value in order = 19.
- Mode = most common = 1.
- Range = 47 − 1 = 46.
- Answer: Mean 23, median 19, mode 1, range 46
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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Frequently asked
- Is this Grade 3 Working with Range flashcards really free?
- Yes. Every flashcards 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 flashcards 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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