Stage 8 - Q1 - 2 marks
What fraction of a pie chart is a 90-degree sector?
Hint
Compare with the 360-degree whole.
Stage 8 - Q2 - 2 marks
What fraction of a pie chart is a 144-degree sector?
Hint
Simplify the angle fraction.
Stage 8 - Q3 - 2 marks
A pie chart represents 60 pupils. A category occupies 120 degrees. Find its count.
Hint
Take the sector fraction of the total.
Stage 8 - Q4 - 2 marks
A 108-degree sector represents 18 people. Find the chart total.
Hint
Scale the category count to a full circle.
Stage 8 - Q5 - 3 marks
Compare the shaded proportions and counts in these two charts.
Hint
Do not compare sector angles without the totals.
Stage 8 - Q6 - 4 marks
A 60-degree sector represents 8 items. Another sector in the same chart is 90 degrees. Find the whole total and the second sector count.
Hint
Use one known sector to establish the scale for the entire chart.
Stage 8 - Q7 - 4 marks
Two charts have the same 120-degree sector, but chart A represents twice as many people as chart B. Compare the sector counts and justify.
Hint
Equal fractions of unequal totals are unequal amounts.
Stage 8 - Q8 - 4 marks
In chart A, a 180-degree sector belongs to 36 out of 72 people. The same category has 36 people in chart B but only a 120-degree sector. Find chart B’s total.
Hint
Keep the category count fixed while its fraction changes.
Stage 8 - Q9 - 5 marks
A category falls from 144 degrees in a chart of 80 items to 72 degrees in a chart of 160 items. Did its actual count fall? Show your working.
Hint
Calculate amounts before interpreting a change in sector size.
Stage 8 - Q10 - 6 marks
Chart A represents 120 items, with red 90 degrees and blue 135 degrees. Chart B has the same red and blue counts, but its red sector is 60 degrees. Find chart B’s total and blue sector angle.
Hint
Recover counts from the first chart before working backwards in the second.