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Math 7 · Unit 11: Graphs · Cambridge Lower Secondary Maths Stage 7

11.4 Interpreting graphs

40 questions · e.g. Read a cost from a straight-line graph

Practice

Questions

  1. 1. Question 1a: this is a graph of distance against time for Erica as she runs. How far does Erica run in 10 minutes?

    0246810051015202530354045Time (min)Distance (km)
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  2. 2. Question 1b: how long does Erica take to run 6 km?

    0246810051015202530354045Time (min)Distance (km)
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  3. 3. Question 1c: use the graph to complete the table of distances for 5, 10, 15, 20 and 25 minutes.

    0246810051015202530354045Time (min)Distance (km)
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  4. 4. Question 1d: the graph is a straight line. What does that tell you about Erica's speed?

    0246810051015202530354045Time (min)Distance (km)
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  5. 5. Question 1e: Erica runs 1 km every 5 minutes. How far will she run in 1 hour at the same speed?

    0246810051015202530354045Time (min)Distance (km)
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  6. 6. Question 1f: a marathon is 42 km. How long will it take Erica to run a marathon at this speed?

    0246810051015202530354045Time (min)Distance (km)
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  7. 7. Question 2a: Bilal is reading a book. How many pages does he read in 4 hours?

    05010015020001234Time (h)Number of pages
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  8. 8. Question 2b: how long does Bilal take to read 100 pages?

    05010015020001234Time (h)Number of pages
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  9. 9. Question 2c: what is Bilal's rate of reading, in pages per hour?

    05010015020001234Time (h)Number of pages
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  10. 10. Question 2d: the book has 240 pages. How long will it take Bilal to read the book?

    05010015020001234Time (h)Number of pages
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  11. 11. Question 2e: choose the correct word for the gradient of Bilal's graph.

    05010015020001234Time (h)Number of pages
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  12. 12. Question 3a: Zara is walking home from school. How far from home is she after 15 minutes?

    012340510152025Time (min)Distance from home (km)
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  13. 13. Question 3b: how far is it from Zara's school to her home?

    012340510152025Time (min)Distance from home (km)
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  14. 14. Question 3c: Zara is walking home from school. How does the graph show that she is walking at a constant speed?

    012340510152025Time (min)Distance from home (km)
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  15. 15. Question 3d: which word describes the gradient of Zara's graph?

    012340510152025Time (min)Distance from home (km)
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  16. 16. Question 3e: complete the table: distance from home at 0, 10, 15 and 20 minutes. (At 5 minutes it is 3 km.)

    012340510152025Time (min)Distance from home (km)
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  17. 17. Question 3f: if Zara continues to walk at the same rate, how long will it take her to walk home from school?

    012340510152025Time (min)Distance from home (km)
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  18. 18. Question 4a: this graph shows the cost of a long-distance phone call. Find the cost of a call that lasts 8 minutes.

    01234560246810121416Time (min)Cost ($)
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  19. 19. Question 4b: a call costs $4. How long does the call last?

    01234560246810121416Time (min)Cost ($)
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  20. 20. Question 4c: describe in words how the cost of a call is calculated.

    01234560246810121416Time (min)Cost ($)
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