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Stem and leaf practice questions with answers

Foundation · Grade 2 · Non-calculator

A second set of stem and leaf questions for GCSE Maths. They are different from the ones on the topic page, so work through both. Try each question, then open the answer to check your working.

More questions

Question 1 Easy

The marks of some pupils are shown in a stem-and-leaf diagram. The key is 2 | 2 means 22. The diagram is 2 | 2 5 6, then 3 | 1 3 3 9, then 4 | 0 8. What is the range of the marks?

Show answer

Answer: 26

  1. The smallest mark is the first leaf: 22. The largest mark is the last leaf: 48.
  2. Range = largest − smallest = 48 − 22 = 26.
  • Method (1): The smallest mark is the first leaf: 22. The largest mark is the last leaf: 48.
  • Accuracy (1): Answer 26

Question 2 Easy

The marks of some pupils are shown in a stem-and-leaf diagram. The key is 1 | 0 means 10. The diagram is 1 | 0 3 7, then 2 | 3 6 6 8, then 3 | 2 9. What is the mode of the marks?

Show answer

Answer: 26

  1. Look for a leaf that repeats on the same stem. The repeated mark is 26.
  2. 26 appears 2 times and no other mark appears as often.
  • Method (1): Look for a leaf that repeats on the same stem. The repeated mark is 26.
  • Accuracy (1): Answer 26

Question 3 Medium

The marks of some pupils are shown in a stem-and-leaf diagram. The key is 1 | 2 means 12. The diagram is 1 | 2 5 8, then 2 | 1 4 4 9, then 3 | 0 3. What is the range of the marks?

Show answer

Answer: 21

  1. The smallest mark is the first leaf: 12. The largest mark is the last leaf: 33.
  2. Range = largest − smallest = 33 − 12 = 21.
  • Method (1): The smallest mark is the first leaf: 12. The largest mark is the last leaf: 33.
  • Accuracy (1): Answer 21

Question 4 Medium

The marks of some pupils are shown in a stem-and-leaf diagram. The key is 1 | 5 means 15. The diagram is 1 | 5 6 8, then 2 | 0 3 7 7, then 3 | 1. What is the mode of the marks?

Show answer

Answer: 27

  1. Look for a leaf that repeats on the same stem. The repeated mark is 27.
  2. 27 appears 2 times and no other mark appears as often.
  • Method (1): Look for a leaf that repeats on the same stem. The repeated mark is 27.
  • Accuracy (1): Answer 27

Question 5 Hard

The marks of some pupils are shown in a stem-and-leaf diagram. The key is 2 | 0 means 20. The diagram is 2 | 0 3 3 7, then 3 | 1 4 8, then 4 | 2 5. What is the range of the marks?

Show answer

Answer: 25

  1. The smallest mark is the first leaf: 20. The largest mark is the last leaf: 45.
  2. Range = largest − smallest = 45 − 20 = 25.
  • Method (1): The smallest mark is the first leaf: 20. The largest mark is the last leaf: 45.
  • Accuracy (1): Answer 25

Question 6 Hard

The marks of some pupils are shown in a stem-and-leaf diagram. The key is 2 | 2 means 22. The diagram is 2 | 2 5 6, then 3 | 1 3 3 9, then 4 | 0 8. What is the mode of the marks?

Show answer

Answer: 33

  1. Look for a leaf that repeats on the same stem. The repeated mark is 33.
  2. 33 appears 2 times and no other mark appears as often.
  • Method (1): Look for a leaf that repeats on the same stem. The repeated mark is 33.
  • Accuracy (1): Answer 33

Exam-style question

A longer question with marks, in the style of a written paper. This is a Yumio practice question, not a past paper question.

Exam-style question 12 marks

The marks of some pupils are shown in a stem-and-leaf diagram. The key is 2 | 1 means 21. The diagram is 2 | 1 7 9, then 3 | 0 2 5 5, then 4 | 4. What is the range of the marks?

Show answer

Answer: 23

  1. The smallest mark is the first leaf: 21. The largest mark is the last leaf: 44.
  2. Range = largest − smallest = 44 − 21 = 23.
  3. The range is 23.
  • Method (1): The smallest mark is the first leaf: 21. The largest mark is the last leaf: 44.
  • Accuracy (1): Answer 23

Quick checks

Short one-step questions. Pick an option before you open the answer.

Check 1

The marks of some pupils are shown in a stem-and-leaf diagram. The key is 1 | 0 means 10. The diagram is 1 | 0 3 7, then 2 | 3 6 6 8, then 3 | 2 9. What is the median mark?

  1. 26
  2. 28
  3. 36
Show answer

26 The result is 26.

Check 2

The marks of some pupils are shown in a stem-and-leaf diagram. The key is 3 | 5 means 35. The diagram is 3 | 5 8, then 4 | 0 1 4 4 9, then 5 | 3 6. What is the range of the marks?

  1. 21
  2. 23
  3. 31
Show answer

21 The result is 21.

Check 3

The marks of some pupils are shown in a stem-and-leaf diagram. The key is 2 | 0 means 20. The diagram is 2 | 0 3 3 7, then 3 | 1 4 8, then 4 | 2 5. What is the mode of the marks?

  1. 23
  2. 25
  3. 33
Show answer

23 The result is 23.

Check 4

In a stem-and-leaf diagram of masses in kg, the key is 2 | 3 means 2.3 kg. What mass does 3 | 5 show?

  1. 3.5 kg
  2. 5.5 kg
  3. 13.5 kg
Show answer

3.5 kg The result is 3.5 kg.

Check 5

The marks of some pupils are shown in a stem-and-leaf diagram. The key is 1 | 5 means 15. The diagram is 1 | 5 6 8, then 2 | 0 3 7 7, then 3 | 1. What is the median mark?

  1. 21.5
  2. 23.5
  3. 31.5
Show answer

21.5 The result is 21.5.

Check 6

The marks of some pupils are shown in a stem-and-leaf diagram. The key is 2 | 1 means 21. The diagram is 2 | 1 7 9, then 3 | 0 2 5 5, then 4 | 4. What is the range of the marks?

  1. 23
  2. 25
  3. 33
Show answer

23 The result is 23.

Check 7

The marks of some pupils are shown in a stem-and-leaf diagram. The key is 1 | 4 means 14. The diagram is 1 | 4 6 9, then 2 | 2 2 5 8, then 3 | 1 6. What is the mode of the marks?

  1. 22
  2. 24
  3. 32
Show answer

22 The result is 22.

Check 8

In a stem-and-leaf diagram of masses in kg, the key is 3 | 4 means 3.4 kg. What mass does 4 | 7 show?

  1. 4.7 kg
  2. 6.7 kg
  3. 14.7 kg
Show answer

4.7 kg The result is 4.7 kg.

Check 9

The marks of some pupils are shown in a stem-and-leaf diagram. The key is 2 | 2 means 22. The diagram is 2 | 2 5 6, then 3 | 1 3 3 9, then 4 | 0 8. What is the median mark?

  1. 33
  2. 35
  3. 43
Show answer

33 The result is 33.

Check 10

The marks of some pupils are shown in a stem-and-leaf diagram. The key is 1 | 0 means 10. The diagram is 1 | 0 3 7, then 2 | 3 6 6 8, then 3 | 2 9. What is the range of the marks?

  1. 29
  2. 31
  3. 39
Show answer

29 The result is 29.

Check 11

The marks of some pupils are shown in a stem-and-leaf diagram. The key is 3 | 5 means 35. The diagram is 3 | 5 8, then 4 | 0 1 4 4 9, then 5 | 3 6. What is the mode of the marks?

  1. 44
  2. 46
  3. 54
Show answer

44 The result is 44.

Check 12

In a stem-and-leaf diagram of masses in kg, the key is 4 | 5 means 4.5 kg. What mass does 5 | 2 show?

  1. 5.2 kg
  2. 7.2 kg
  3. 15.2 kg
Show answer

5.2 kg The result is 5.2 kg.

Check 13

The marks of some pupils are shown in a stem-and-leaf diagram. The key is 1 | 2 means 12. The diagram is 1 | 2 5 8, then 2 | 1 4 4 9, then 3 | 0 3. What is the median mark?

  1. 24
  2. 26
  3. 34
Show answer

24 The result is 24.

Check 14

The marks of some pupils are shown in a stem-and-leaf diagram. The key is 1 | 5 means 15. The diagram is 1 | 5 6 8, then 2 | 0 3 7 7, then 3 | 1. What is the range of the marks?

  1. 16
  2. 18
  3. 26
Show answer

16 The result is 16.

Check 15

The marks of some pupils are shown in a stem-and-leaf diagram. The key is 2 | 1 means 21. The diagram is 2 | 1 7 9, then 3 | 0 2 5 5, then 4 | 4. What is the mode of the marks?

  1. 35
  2. 37
  3. 45
Show answer

35 The result is 35.

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