Data Representation

8 Grade 6 Mathematics questions on Data Representation, with worked marking schemes. 8 questions are available on this topic in full.

1. Question 1

   1 mark

   A pictograph uses ★ = 4 books. If a row shows ★★★½, how many books?

   A. 12

   B. 16

   C. 14

   D. 7

   (1 mark)

   Marking scheme

   C. $14$ — three whole symbols are $3\times 4=12$ and the half symbol is $2$ more, giving $14$. A ignores the half and D counts symbols rather than books.

2. Question 2

   1 mark

   A bar graph shows sales: Mon=20, Tue=35, Wed=15, Thu=40. Which day had the highest sales?

   A. Monday

   B. Tuesday

   C. Wednesday

   D. Thursday

   (1 mark)

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3. Question 3

   1 mark

   In a frequency table, tallies |||| || represent:

   A. 6

   B. 52

   C. 7

   D. 8

   (1 mark)

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4. Question 4

   1 mark

   In a pie chart, 90° represents what fraction of the total?

   A. $\frac{1}{5}$

   B. $\frac{1}{2}$

   C. $\frac{1}{4}$

   D. $\frac{1}{3}$

   (1 mark)

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5. Question 5

   1 mark

   A pie chart shows 25% for maths, 30% for science, 20% for English. What % is for other subjects?

   A. 20%

   B. 25%

   C. 15%

   D. 30%

   (1 mark)

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6. Question 6

   1 mark

   Which graph is best for showing change over time?

   A. Pie chart

   B. Bar graph

   C. Line graph

   D. Pictograph

   (1 mark)

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7. Question 7

   1 mark

   A pie chart has a sector of 72°. If 200 students were surveyed, how many does this sector represent?

   A. 36

   B. 72

   C. 20

   D. 40

   (1 mark)

   Marking scheme

   D. $40$ — the sector is $\frac{72}{360}$ of the full circle, so it represents $\frac{72}{360}\times 200=40$ students. B reads the angle as if it were a count.

8. Question 8

   1 mark

   In a line graph, a rising line indicates:

   A. Fluctuation

   B. Increase

   C. No change

   D. Decrease

   (1 mark)

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