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OLNA Prep (Measurement, Rates, Ratios, Probability, Stats) 😁

Total questions: 20

Worksheet time: 33mins

Name
Class
Date
1.

A jigsaw has pieces has pieces of two shapes. Both shapes are based on identical squares and semi-circles.

Indicate which statement is true about the jigsaw pieces:

a)

They have identical areas and identical perimeters.

b)

They have different areas but identical perimeters.

c)

They have identical areas but different perimeters.

d)

They have different areas and different perimeters.

2.

This diagram shows a triangular prism and its dimensions.


Which statement shows the surface area of this prism (in square centimetres)?

a)

{[(3 x 4)÷2] x 2} + (5 x 7) + (3 x 7) + (4 x 7)

b)

(3 x 4) + (12 x 7)

c)

(3 x 4) + (3 x 4) + (5 x 7) + (3 x 7) + (4 x 7)

d)

(3 x 4) + (3 x 4) + (12 x 7)

3.

Each square on this grid has an area of 10 square centimetres. What is the area of this triangle in square centimetres?

a)

100cm2

b)

120cm2

c)

140cm2

4.

A rain water tank has a maximum capacity of 8.75 kilolitres.


How many litres could this tank hold when it is full?

a)

875

b)

8075

c)

8750

d)

87500

5.

A cube has edges of 0.5 centimetres.


What is the volume of the cube in cubic millimetres?

a)

5

b)

25

c)

125

d)

500

6.

Paul buys a 1.25 kilogram tray and a 675 gram tray of mince.

How much mince does Paul buy?

a)

676.25g

b)

800g

c)

1.795kg

d)

1.925kg

7.

A jeweller cuts a gemstone so that the top face is a square. The length of the square is 8mm.


The jeweller constructs a scale drawing of the top face. The length of the square which represents the top face is 4cm.

Which of the following is the scale used in this drawing?

a)

1 cm represents 5 mm

b)

1 cm represents 2mm

c)

2 cm represents 1mm

d)

5 cm represents 1mm

8.

A triangle, with sides 3 cm, 4 cm and 5 cm, is enlarged or reduced.

Which triangles could not be produced?

a)

A triangle with sides 0.75 cm, 1 cm and 1.25 cm.

b)

A triangle with sides 1 cm, 2 cm and 3 cm.

c)

A triangle with sides 1.5 cm, 2 cm and 2.5 cm.

d)

A triangle with sides 4 cm, 5 cm and 6 cm.

9.

Bill makes scale models of old ships. His scale model of one ship was 118 centimetres long. The real ship was 59 metres long.

Which of the following represents the scale Bill used to make his model?

a)

1:2

b)

1:50

c)

59:118

d)

118:59

10.

A spinner has sections marked as shown. The arrow has an equal chance of stopping on each section.

What is the probability the arrow will stop on B?

a)

1/3

b)

3:4:5

c)

0.25

d)

30%

11.

A fair 10-sided die, with faces marked 1 to 10, is rolled.

Which of the following events has a probability of less than 1?

a)

rolling a number greater than 0

b)

rolling a number less than or equal to 100

c)

rolling a number greater than or equal to 1

d)

rolling a number greater than or equal to 10

12.

A resort manager noted the continents from which guests had travelled. The data was used to draw this graph.

About a third of the guests came from which continent?

a)

Africa

b)

Asia

c)

Australia

d)

Europe

e)

Other

13.

The weights in kilograms of the 25 students in a Year 8 class were recorded in the stem and leaf plot below.


What is the difference in weight between the heaviest and the lightest student?

a)

50kg

b)

44kg

c)

48kg

d)

41kg

14.

Which three figures were used to make this picture?

a)

Hexagon, parallelogram, scalene triangle

b)

Equilateral triangle, hexagon, rhombus

c)

Isosceles triangle, irregular hexagon, trapezium

d)

Quadrilateral, regular hexagon, isosceles triangle

15.

Which of the following best describes the faces of the object?

a)

2 rhombuses, 4 trapeziums

b)

6 parallelograms

c)

2 rhombuses, 2 parallelograms, 2 trapeziums

d)

2 rectangles, 4 trapeziums

e)

2 irregular quadrilaterals, 2 trapeziums, 2 rhombuses

16.

Daisy made a skeletal model of a square based pyramid. She used 8 plastic straws of equal length and 5 joiners to hold the straws at the vertices of the pyramid.

She wishes to change this model to make a skeletal model of a cube.

How many more straws and joiners will she need?

a)

3 straws and 4 joiners

b)

4 straws and 3 joiners

c)

5 straws and 8 joiners

d)

12 straws and 8 joiners

17.

Which diagram is the net of a triangular prism?

a)
b)
c)
d)
18.

This is the diagram of a rectangular prism.

Which of the following is NOT a net of this prism?

a)
b)
c)
d)
19.

A ladder leans against a wall making an angle of 32° with the ground.

a)

23°

b)

48°

c)

58°

d)

78°

20.

This diagram is rotated.


Which of the following shows the diagram after a clockwise rotation of 270o?

a)
b)
c)
d)