Question 1

An adult ostrich has a maximum speed of $70$ kilometres per hour (km/h).
Given that $1 	ext { mile}$ is approximately equal to $1.6 	ext { km}$, work out the approximate maximum speed of the ostrich in miles per hour to the nearest integer.

Accepted Answer

$	ext{44 mph}$

Answer

$	ext{39 mph}$

Answer

$	ext{62 mph}$

Answer

$	ext{24 mph}$

Question 2

An adult ostrich has a maximum speed of $70$ kilometres per hour (km/h).
Work out the ostrich’s speed in metres per second (m/s) to 1 decimal place.

Accepted Answer

19.4 m/s

Answer

27.9 m/s

Answer

15.1 m/s

Answer

33.4 m/s

Question 3

$1 	ext{ stone (st) ≈ 6.35 kilograms (kg) }$ and $	ext{1kg ≈ 2.2 pounds (lb)}$.
In the United Kingdom, the average mass of an adult is $75.8	ext{ kg}$.
In the United States, the average mass is $180.62	ext{ lb.}$ In Australia, the average mass is $12.25	ext{ st.}$
In which of these countries is the average mass the highest?

Accepted Answer

United States

Answer

Australia

Answer

United Kingdom

Question 4

Convert $	ext{5 cm}^2$ to $	ext{mm}^2.$

Accepted Answer

$	ext{500 mm}^2$

Answer

$	ext{0.05 mm}^2$

Answer

$	ext{0.5 mm}^2$

Answer

$	ext{50 mm}^2$

Question 5

Convert $	ext{2500 mm}^3$ to $	ext{cm}^3$

Accepted Answer

$	ext{2.5 cm}^3$

Answer

$	ext{25 cm}^3$

Answer

$	ext{250 cm}^3$

Answer

$	ext{0.025 cm}^3$

Question 6

Convert $	ext{0.03 km}^3$ to $	ext{m}^3.$

Accepted Answer

$	ext{30 000 000 m}^3$

Answer

$	ext{300 m}^3$

Answer

$	ext{3000 m}^3$

Answer

$	ext{30 000 m}^3$

Question 7

A rectangular fish tank, with dimensions as shown in the diagram, is half-filled with water.
How many litres of water does the tank contain?

Accepted Answer

$	ext{544.5 litres}$

Answer

$	ext{467.5 litres}$

Answer

$	ext{502.5 litres}$

Answer

$	ext{420 litres}$

Question 8

Work out the size of angle $x$ in the diagram.

Accepted Answer

$x = 25 \degree$

Answer

$x = 52 \degree$

Answer

$x = 17 \degree$

Answer

$x = 34 \degree$

Question 9

Work out the values of $c$ and $d$.

Accepted Answer

$c=19 \degree$ and $d=30 \degree$

Answer

$c=15 \degree$ and $d=21 \degree$

Answer

$c=28 \degree$ and $d=42 \degree$

Answer

$c=40 \degree$ and $d=83 \degree$

Question 10

A circular pie is cut into four pieces, as shown below. $AC$ is the diameter of the pie.
Work out the size of the angle for the largest slice of pie.

Accepted Answer

$110 \degree$

Answer

$129 \degree$

Answer

$95 \degree$

Answer

$142 \degree$

Question 11

The quadrilateral $ABCD$ is a rhombus. Work out the value of angle $x$.

Accepted Answer

$x=85 \degree$

Answer

$x=60 \degree$

Answer

$x=105 \degree$

Answer

$x=120 \degree$

Question 12

In the diagram, angle $BFA$ is $44 \degree$. Work out the size of angle $FDE$.

Accepted Answer

Angle $FDE = 46 \degree$

Answer

Angle $FDE = 73 \degree$

Answer

Angle $FDE = 29 \degree$

Answer

Angle $FDE = 65 \degree$

Question 13

$PQR$ and $STU$ are both equilateral triangles of the same size.
$T$ is the midpoint of $PR$. $Q$ is the midpoint of $SU$.
Work out the size of angle $t$.

Accepted Answer

$t=120 \degree$

Answer

$t=150 \degree$

Answer

$t=75 \degree$

Answer

$t=105 \degree$

Question 14

Work out the values of $x$ and $y$ for the kite shown.

Accepted Answer

$x=47 \degree$, $y=73 \degree $

Answer

$x=65 \degree$, $y=90 \degree $

Answer

$x=33 \degree$, $y=120 \degree $

Answer

$x=25 \degree$, $y=89 \degree $

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