Proportion (Cambridge (CIE) O Level Maths): Exam Questions

Exam code: 4024

1 hour23 questions
1
Sme Calculator
3 marks

y is inversely proportional to x2.
When x=4, y=7.5.

Find y when x=5.

y= .................................................

2
Sme Calculator
3 marks

y is inversely proportional to x2.
When x=4, y=2.

Find y when x=12.

y = ...................................................

3a
Sme Calculator
2 marks

A ball falls d metres in t seconds. d is directly proportional to the square of t.
The ball falls 44.
1 m in 3 seconds.

Find a formula for d in terms of t.

d=................................................

3b
Sme Calculator
1 mark

Calculate the distance the ball falls in 2 seconds.

............................................ m

4
Sme Calculator
3 marks

y is inversely proportional to the cube root of x.

Given that y = 2.5 when x = 8, find y when x = 64.

1
Sme Calculator
2 marks

 y is inversely proportional to the square root of x.
When  y=7x=2.25.  

Write  y in terms of x.  

 y=................................................

2
Sme Calculator
3 marks

 p is directly proportional to (q+2)2.
When q=1 p=1.  

Find  p when q=10.  

 p= .................................................

3
Sme Calculator
3 marks

y is directly proportional to (x1)2 .
When x=5, y=4.

Find y when x=7.

y= ..............................................

4
3 marks

y is inversely proportional to the square root of x.

Given that y=7.5 when x=9, find y when x=25.
 

 y=..............................................

1
Sme Calculator
3 marks

 y is directly proportional to the cube root of (x+3).
When x=5, y=23.  

Find  y when x=24.  

y=................................................

2a
Sme Calculator
2 marks

t is inversely proportional to the square of (x+1). When x=2, t=5. Write t in terms of x.

t = ...................................................

2b
Sme Calculator
2 marks

When t=1.8, find the positive value of x.

x = ...................................................

3
Sme Calculator
3 marks

y is inversely proportional to the square of (x+1).
y=0.875 when x=1.

Find y when x=4.  

y = ....................................................