Variations - JSS3 Mathematics Past Questions and Answers - page 1

If 𝑦 varies directly as 𝑥 and 𝑦=15 when 𝑥=3, what is 𝑦 when 𝑥=6?

If 𝑦 varies inversely as 𝑥 and 𝑦=10 when 𝑥=5, what is 𝑦 when 𝑥=8?

If 𝑧 varies jointly as 𝑥 and 𝑦, and 𝑧=24 when 𝑥=4 and 𝑦=3, what is 𝑧 when 𝑥=6 and 𝑦=5?

If 𝑧 varies partly as 𝑥 and inversely as 𝑦, and 𝑧=10 when 𝑥=5 and 𝑦=2, what is 𝑧 when 𝑥=10 and 𝑦=4?

If 𝑦 varies directly as 𝑥 and 𝑦=9 when 𝑥=6, find 𝑦 when 𝑥=12.

If 𝑦 varies inversely as 𝑥 and 𝑦=20 when 𝑥=4, find 𝑦 when 𝑥=5.

If 𝑧 varies jointly as 𝑥 and 𝑦, and 𝑧=36 when 𝑥=3 and 𝑦=4, find 𝑧 when 𝑥=6 and 𝑦=2.