BECE Mathematics — Direct Variation Past Questions & Answers

Question 1

If x ∝ y² and x = 5 when y = 2, then the equation connecting x and y is given as

Accepted Answer

A: x=1.25y

Answer

B: x=1.25y²

Answer

C: x=1.35y²

Answer

D: x=1.25y²

Question 2

If y varies inversely as x (y = k/x), and y = 4 when x = 8. Also, consider a scenario where x = 4, y = 256, and 4 = k/x². Calculate the value of 16/320.

Answer

B: 0.05

Question 3

If X is proportional to y² (X = ky²), and X = 5 when y = 2, find the relationship between X and y.

Answer

B: x = 1.25y²

Question 4

Given that v varies directly as w, and v = 50 when w = 16.
i. Find the formula connecting v and w.
ii. Find the value of v when w = 12.
iii. Find the value of w when v = 20.

Question 5

Mohammad travels in a car from Lagos to Ibadan. His car uses 25 litres of fuel for a distance of 200km. How many litres of fuel will be needed for a distance of 300km.

Accepted Answer

A: 39.5litres

Answer

B: 38.5litres

Answer

C: 37.5litres

Answer

D: 36.5litres

BECE Mathematics — Direct Variation Past Questions & Answers

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