Past papers › JAMB 2017 · UTME (set 2) › Question 23 Question JAMB General Maths 2017 Objective Statistics: data & averages Statistics: data & averages
JAMB 2017 · UTME (set 2) · Q23 The pie chart shows the allocation of money to each sector of a farm. The total amount allocated to the farm is ₦80,000. Find the amount allocated to fertilizer.
A ₦35,000 B ₦40,000 C ₦25,000 D ₦20,000
Worked solution (try it first) The angles add up to
360 ∘ 360^\circ 36 0 ∘ , so Fertilizer is
360 ∘ − ( 40 ∘ + 50 ∘ + 80 ∘ + 70 ∘ + 30 ∘ ) = 90 ∘ 360^\circ - (40^\circ + 50^\circ + 80^\circ + 70^\circ + 30^\circ) = 90^\circ 36 0 ∘ − ( 4 0 ∘ + 5 0 ∘ + 8 0 ∘ + 7 0 ∘ + 3 0 ∘ ) = 9 0 ∘ .
90 ∘ 90^\circ 9 0 ∘ is a quarter of the circle.
So Fertilizer gets
1 4 × 80 000 = 20 000 \frac14 \times 80\,000 = 20\,000 4 1 × 80 000 = 20 000 naira: ₦20,000, option D.
Watch out
Find the missing angle before using the total. Using the Farm implements sector, 80 ∘ 80^\circ 8 0 ∘ , instead gives about ₦17,800, which is not an option. Report a problem with this question