Question 1

Find the area of the trapezium shown in the diagram below

Select the correct answer from the list below:

A: 70

B: 78

C: 40

D: 48

CORRECT ANSWER: B: 78

WORKED SOLUTION:

The area of a trapezium is given by the formula \dfrac{1}{2}(a+b)h so,

 Area = \dfrac{1}{2}(10+50)2.6 = 78 cm^2

Level 4

Question 2

Find the area of the parallelogram, giving your answer as a whole number.

Select your answer from the list below:

A: 636 cm^2

B: 472 cm^2

C: 548 cm^2

D: 604 cm^2

CORRECT ANSWER: A: 636 cm^2

WORKED SOLUTION:

The area of a parallelogram is given by the formula bh so,

Area = 53\times 12 = 636 cm^2

Level 4

Question 3

A pizza with the size of 12 inches in diameter has been cut into 8 slices. What is the area of the each slice of pizza?

Give your answer correct to 2 decimal places.

Select your answer from the list below:

A: 12.70

B: 10.55

C: 14.14

D: 16.22

CORRECT ANSWER: 

WORKED SOLUTION:

Use the formulae for the area of a circle.

For the area of the circle A=\pi r^2

Divide the diameter by 2 to calculate the radius:

12\div 2 = 6 inches

A= \pi \times 6^2=36\pi

For the area of the Slice:

Divide 36\pi by 8:

36 \pi \times 8 = 4.5 \pi

Answer = C: 14.14

 

Level 4

Question 4

Find the area of the compound shape below:

Select your answer from the list below:

A: 84cm^2

B: 36cm^2

C: 54cm^2

D: 74cm^2

CORRECT ANSWER: D: 74cm^2

WORKED SOLUTION:

We can split the shape up to work out the area.

Area of the left hand side rectangle is 10\times(11-6)= 50cm^2

Area of the right hand side rectangle is 6\times4= 24cm^2

Total area: 50cm^2+24cm^2= 74cm^2

Level 4

Question 5

Find the area of the circle below:

Select your answer from the list below:

A: 185.5 cm^2

B: 201.1 cm^2

C: 242.8 cm^2

D: 164.3 cm^2

CORRECT ANSWER: 

WORKED SOLUTION:

The area of a circle is given by the formula, Area = \pi r^2

As the radius is 8cm then,

Area = \pi\times8^2=201.1 cm^2

Level 4