Question 1

Example 4 (textbook), page 149: We know that for a car travelling at a constant speed, the distance, s(km), and time, t(hour), are in direct variation. Suppose that the distance travelled was 250 km and the time taken was 10 hours, express 's' in term of 't'

Accepted Answer

s = 25t

Answer

s = 2.5t

Answer

s = 250t

Question 2

Exercise 5.1C, page 149: Given 'y' varies directly as 'x'. Express 'y' in term of 'x' , given that y=30, when x=6

Accepted Answer

y = 5x

Answer

5y = x

Answer

30y = 6x

Answer

6y = 30x

Question 3

Exercise 5.1C, page 149: If 'D' varies directly as 'S' and given that D=140 when S=35, express the variation as an equation

Accepted Answer

D = kS ; D = 4S

Answer

S = 4D

Answer

D = kS ; D = 0.25S

Answer

S = kD ; S = 0.25D

Question 4

It is given that 'W' varies directly as the cube of 'P' and W=12 when P=3. Calculate the value of P when W=96

Accepted Answer

6

Answer

5

Answer

2

Answer

4

Question 5

The table shows some values of variables P and Q, such that Q varies directly as the square root of P. Calculate the value of 'm'.

Accepted Answer

1/16

Answer

1/12

Answer

18

Answer

36

Question 6

The table shows some values of variables P and Q, such that Q varies inversely as P. Calculate the value of 'm'.

Accepted Answer

4/27

Answer

36

Answer

4/9

Answer

27/4

Question 7

The table shows some values of the variables 'x' and 'y'. It is given that 'y' varies inversely as 'x'. calculate the value of 'n'

Accepted Answer

2.5

Answer

25

Answer

16

Answer

0.4

Question 8

The table shows some values of the variables 'x' and 'y'. It is given that 'y' varies directly as 'x'. calculate the value of 'n'

Accepted Answer

25.6

Answer

25/6

Answer

2 and 5/6

Answer

26.5

Question 9

Given that 'J' varies inversely as the cube root of 'K' and J=4 when K=1/125. Calculate the value of J when K=512

Accepted Answer

0.1

Answer

0.8

Answer

0.625

Answer

1.25

Question 10

Given that 'R' varies directly as the cube root of 'S' and R=4 when S=1/125. Calculate the value of R when S=512

Accepted Answer

4

Answer

40

Answer

4.25

Answer

0.4

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