Line graphs (broken line graphs) worksheet

Part A: Working out and filling in

1. 1. Savings in May = $40

   Each grid line stands for 20: May's point is on line 2, 2 × 20 = 40

2. 2. Savings in April = $150

   Each grid line stands for 50: April's point is on line 3, 3 × 50 = 150

3. 3. Savings in April = $60

   Each grid line stands for 20: April's point is on line 3, 3 × 20 = 60

4. 4. Monday to Tuesday: rose by 2 °C

   Each grid line stands for 1: Monday's point is 3 lines above 16, 3 × 1 = 3, 16 + 3 = 19; Tuesday's point is 5 lines above 16, 5 × 1 = 5, 16 + 5 = 21; 21 − 19 = 2

5. 5. Wednesday to Thursday: rose by 3 °C

   Each grid line stands for 1: Wednesday's point is 1 lines above 17, 1 × 1 = 1, 17 + 1 = 18; Thursday's point is 4 lines above 17, 4 × 1 = 4, 17 + 4 = 21; 21 − 18 = 3

6. 6. Height in week 3 = 20 cm

   Each grid line stands for 5: week 3's point is on line 4, 4 × 5 = 20

7. 7. Height in week 1 = 2 cm

   Each grid line stands for 2: week 1's point is on line 1, 1 × 2 = 2

8. 8. week 1 to week 2: grew by 4 cm

   Each grid line stands for 2: week 1's point is on line 1, 1 × 2 = 2; week 2's point is on line 3, 3 × 2 = 6; 6 − 2 = 4

9. 9. March to April: went up by $80

   Each grid line stands for 20: March's point is on line 1, 1 × 20 = 20; April's point is on line 5, 5 × 20 = 100; 100 − 20 = 80

10. 10. Highest − lowest = 30 cm

    Each grid line stands for 5. Highest: week 6's point is on line 6, 6 × 5 = 30; lowest: week 1's point is on line 0, 0 × 5 = 0; 30 − 0 = 30

11. 11. Highest − lowest = $300

    Each grid line stands for 50. Highest: April's point is on line 8, 8 × 50 = 400; lowest: February's point is on line 2, 2 × 50 = 100; 400 − 100 = 300

12. 12. Tuesday to Wednesday: rose by 1 °C

    Each grid line stands for 1: Tuesday's point is 6 lines above 15, 6 × 1 = 6, 15 + 6 = 21; Wednesday's point is 7 lines above 15, 7 × 1 = 7, 15 + 7 = 22; 22 − 21 = 1

Part B: Word problems

Marking: 2 for the working, 1 for the answer, 1 for the sentence.

1. 13. A line graph shows a plant's height each week: 12 cm in week 1, 17 cm in week 2 and 23 cm in week 3. How many centimetres did it grow from week 1 to week 3? (Answer: 11 cm)

   23 − 12 = 11

2. 14. On a line graph, each square up the side stands for 10 phones. January's point is at square 10 and February's at square 12. How many more phones were sold in February than in January? (Answer: 20 phones)

   (12 − 10) × 10 = 20

3. 15. A line graph shows the midday temperature on four days: 19°C on Monday, 24°C on Tuesday, 27°C on Wednesday and 30°C on Thursday. What is the difference between the highest and lowest temperatures, in degrees? (Answer: 11°C)

   30 − 19 = 11

4. 16. A line graph shows a plant's height each week: 13 cm in week 1, 15 cm in week 2 and 20 cm in week 3. How many centimetres did it grow from week 1 to week 3? (Answer: 7 cm)

   20 − 13 = 7

5. 17. On a line graph, each square up the side stands for 50 phones. January's point is at square 6 and February's at square 12. How many more phones were sold in February than in January? (Answer: 300 phones)

   (12 − 6) × 50 = 300

6. 18. A line graph shows the midday temperature on four days: 20°C on Monday, 26°C on Tuesday, 21°C on Wednesday and 22°C on Thursday. What is the difference between the highest and lowest temperatures, in degrees? (Answer: 6°C)

   26 − 20 = 6