Measurements

What is the perimeter of the figure below?

• 24 cm

• 22 cm

• 23 cm

• 21 cm

• 25 cm

Answer explanation

For the perimeter of the figure, remember to fill in the gaps by subtracting the horizontal and vertical lengths.

= 4 cm + 2 cm + 2 cm + 1.5 cm + 1 cm + 1.5 cm + 7 cm + 5 cm = 24 cm

Which point on the number line represents the value of 8/3?

• A

• B

• C

• D

• E

Answer explanation

First, divide the number line from 0 to 1, 1 to 2, 2 to 3, and 3 to 4 in three parts.

The numbers on the line would be 0, 1/3, 2/3, 1, 4/3, 5/3, 2, 7/3, 8/3, 3, 10/, 11/3, 4. This is shown below:

Hence E = 8/3

A projector magnifies the picture on a screen to fifty times its original size. 

What would be the area of a rectangular slide of size 2 cm x 3 cm on the projector screen?

• 600 cm²

• 300 cm²

• 400 cm²

• 1500 cm²

• 6 cm²

Answer explanation

Area of actual slide = 2 x 3 = 6.

Area of the slide on screen = 6 x 50 = 300 cm²

Note: The projector magnifies the entire picture; it does not change each side by 50 times.

Christian packed small boxes that were 3 cm long, 2 cm wide, and 3 cm high.

To send these to California he has to pack them into a carton that is 12 cm long, 4 cm wide and 6 cm high.

How many boxes in total can she pack into this carton?

• 6

• 10

• 20

• 16

• 8

Select the statement that is true about triangle ABC.

• Triangle ABC is an obtuse triangle.

• Triangle ABC is an isosceles triangle.

• Triangle ABC is an equilateral triangle.

• Triangle ABC is a scalene triangle.

• Triangle ABC is an acute triangle.

Answer explanation

Angle ACB = Angle ABC.

Hence, AB = AC.

Triangle ABC is an isosceles triangle.

A man takes 400 steps around a square ground. 

If each pace is one metre, what is the area of the square ground in m²?

• 10000

• 62500

• 12500

• 62550

• 6250

Answer explanation

The perimeter of the square is 4000 m.

Therefore the length of each side = 4000/4 = 100 m.

Hence the area of the ground = 100 x 100 = 10000 m².

Meryl is tiling her rectangular bathroom floor, which is 2 metres long by 1 metres wide. Her chosen tiles have the following dimensions:

How many tiles will Meryl need to cover the floor?

• 16

• 8

• 4

• 10

• 12

Answer explanation

2m = 200cm

1m = 100cm

200/50 = 4 tiles across

100/25 = 4 tiles down

OR

200/25 = 8 tiles across

100/50 = 2 tiles across

therefore:

4 x 4 tiles OR 8 x 2 = 16 tiles total

The side of a smaller square is 1 cm. Four of these squares are joined together to former a larger square. What will be the perimeter of the larger square?

• 8 cm 

• 1 cm

• 4 cm

• 16 cm

• 2 cm

Answer explanation

Area of smaller square = 1 cm X 1 cm  = 1 sq. cm

Area of 4 smaller squares or 1 large square = 4 X 1 sq. cm = 4 sq cm

Side of the larger square = 2 cm (2 cm X 2 cm = 4 sq. cm)

Perimeter of the larger square = 2 + 2 + 2 + 2 = 8 cm.

Max has a box with a volume of 7200 cm³ and a height of 10 cm. Which of these could be the length and width of the box?

• 18 cm x 42 cm

• 20 cm x 24 cm

• 24 cm x 30 cm

• 25 cm x 25 cm

• 28 cm x 25 cm

Answer explanation

The area of the base of the box = 7200/10 = 720.

So the product of length and width must be 720. 

From the available options, only 24 × 30 = 720 satisfies it.

In this diagram

If 3X = Y, then Y =

• 135 degrees

• 144 degrees

• 105 degrees

• 120 degrees

• 115 degrees

Answer explanation

Sum of all angles = 360.

So, 4X + Y + 80 = 360.

4X + 3X = 360 - 80.

7X = 280.

This means X = 40.

Hence, Y = 3 x 40 = 120.