Free Grade 3 Working with Range Techniques Flashcards
Free Grade 3 flashcards for Working with Range Techniques: 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
15 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify working with range techniques
Identify working with range techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with range techniques
Explain working with range techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with range techniques
Calculate working with range techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with range techniques
Compare working with range techniques 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 Techniques 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 1, 2, 4, 9, 14, find the mean, median, mode and range.[1]
- 2.For the data 2, 2, 13, 14, 19, find the mean, median, mode and range.[1]
- 3.For the data 3, 6, 8, 12, 17, find the mean, median, mode and range.[1]
- 4.For the data 1, 5, 8, 8, 17, find the mean, median, mode and range.[1]
- 5.For the data 8, 11, 17, 23, 24, 32, 37, find the mean, median, mode and range.[2]
- 6.For the data 16, 17, 20, 24, 27, 30, 32, find the mean, median, mode and range.[2]
- 7.For the data 3, 5, 16, 20, 26, 30, 37, find the mean, median, mode and range.[2]
- 8.For the data 3, 8, 14, 19, 20, 31, 36, find the mean, median, mode and range.[2]
- 9.For the data 20, 21, 31, 37, 37, 38, 43, 46, 49, find the mean, median, mode and range.[3]
- 10.For the data 1, 21, 26, 26, 27, 34, 44, 51, 56, find the mean, median, mode and range.[3]
- 11.For the data 22, 25, 30, 31, 32, 36, 40, 56, 57, find the mean, median, mode and range.[3]
- 12.For the data 1, 4, 11, 21, 23, 31, 38, 51, 58, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 6, median 4, mode none, range 13
Mean = 30 ÷ 5 = 6. Median = middle value in order = 4. Mode = most common = no repeated value. Range = 14 − 1 = 13.
2. Mean 10, median 13, mode 2, range 17
Mean = 50 ÷ 5 = 10. Median = middle value in order = 13. Mode = most common = 2. Range = 19 − 2 = 17.
3. Mean 9.2, median 8, mode none, range 14
Mean = 46 ÷ 5 = 9.2. Median = middle value in order = 8. Mode = most common = no repeated value. Range = 17 − 3 = 14.
4. Mean 7.8, median 8, mode 8, range 16
Mean = 39 ÷ 5 = 7.8. Median = middle value in order = 8. Mode = most common = 8. Range = 17 − 1 = 16.
5. Mean 21.71, median 23, mode none, range 29
Mean = 152 ÷ 7 = 21.71. Median = middle value in order = 23. Mode = most common = no repeated value. Range = 37 − 8 = 29.
6. Mean 23.71, median 24, mode none, range 16
Mean = 166 ÷ 7 = 23.71. Median = middle value in order = 24. Mode = most common = no repeated value. Range = 32 − 16 = 16.
7. Mean 19.57, median 20, mode none, range 34
Mean = 137 ÷ 7 = 19.57. Median = middle value in order = 20. Mode = most common = no repeated value. Range = 37 − 3 = 34.
8. Mean 18.71, median 19, mode none, range 33
Mean = 131 ÷ 7 = 18.71. Median = middle value in order = 19. Mode = most common = no repeated value. Range = 36 − 3 = 33.
9. Mean 35.78, median 37, mode 37, range 29
Mean = 322 ÷ 9 = 35.78. Median = middle value in order = 37. Mode = most common = 37. Range = 49 − 20 = 29.
10. Mean 31.78, median 27, mode 26, range 55
Mean = 286 ÷ 9 = 31.78. Median = middle value in order = 27. Mode = most common = 26. Range = 56 − 1 = 55.
11. Mean 36.56, median 32, mode none, range 35
Mean = 329 ÷ 9 = 36.56. Median = middle value in order = 32. Mode = most common = no repeated value. Range = 57 − 22 = 35.
12. Mean 26.44, median 23, mode none, range 57
Mean = 238 ÷ 9 = 26.44. Median = middle value in order = 23. Mode = most common = no repeated value. Range = 58 − 1 = 57.
Worked examples
For the data 3, 11, 13, 17, 17, find the mean, median, mode and range.
- Mean = 61 ÷ 5 = 12.2.
- Median = middle value in order = 13.
- Mode = most common = 17.
- Range = 17 − 3 = 14.
- Answer: Mean 12.2, median 13, mode 17, range 14
For the data 10, 14, 28, 29, 31, 31, 36, find the mean, median, mode and range.
- Mean = 179 ÷ 7 = 25.57.
- Median = middle value in order = 29.
- Mode = most common = 31.
- Range = 36 − 10 = 26.
- Answer: Mean 25.57, median 29, mode 31, range 26
For the data 4, 6, 8, 17, 25, 30, 32, 56, 58, find the mean, median, mode and range.
- Mean = 236 ÷ 9 = 26.22.
- Median = middle value in order = 25.
- Mode = most common = no repeated value.
- Range = 58 − 4 = 54.
- Answer: Mean 26.22, median 25, mode none, range 54
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 Techniques 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 Working with Range Essentials, Introducing Range. 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 Techniques?
- Move on to Working with Range Word Problems, Working with Range Common Errors, Introducing Range, Range in Context, which build directly on this idea.
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