Question 1

Work out the length $x$ in the triangle shown to 1 decimal place.

Accepted Answer

$	ext{9.4 cm}$

Answer

$	ext{18.1 cm}$

Answer

$	ext{23.9 cm}$

Answer

$	ext{4.5 cm}$

Question 2

Work out the length $x$ in the triangle shown to 1 decimal place.

Accepted Answer

$	ext{4.2 cm}$

Answer

$	ext{13.8 cm}$

Answer

$	ext{9.3 cm}$

Answer

$	ext{6.6 cm}$

Question 3

Work out the angle $x$ in the triangle shown to 1 decimal place.

Accepted Answer

$26.5 \degree$

Answer

$101.5 \degree$

Answer

$41.1 \degree$

Answer

$65.2 \degree$

Question 4

Work out the angle $x$ in the triangle shown to 1 decimal place.

Accepted Answer

$39.0 \degree$

Answer

$79.4 \degree$

Answer

$21.4 \degree$

Answer

$53.9 \degree$

Question 5

A triangle has vertices $A, B$ and $C.

AB = 	ext{10 cm, } BC = 	ext{6 cm}$ and angle $CAB$ is $25 \degree$.
Given that angle $ACB$ is obtuse, work out angle $ACB$ to $1$ decimal place.

Accepted Answer

$135.2 \degree$

Answer

$89.2 \degree$

Answer

$100.4 \degree$

Answer

$179.3 \degree$

Question 6

Work out the length of side $BC$ in the diagram to 1 decimal place.

Accepted Answer

$	ext{17.0 cm}$

Answer

$	ext{13.7 cm}$

Answer

$	ext{23.3 cm}$

Answer

$	ext{8.9 cm}$

Question 7

Work out the area of the triangle shown to 2 decimal places.

Accepted Answer

$	ext{14.31 cm}$

Answer

$	ext{9.91 cm}$

Answer

$	ext{18.32 cm}$

Answer

$	ext{21.43 cm}$

Question 8

Work out the area of the triangle shown to 2 decimal places.

Accepted Answer

$	ext{68.57 cm}$

Answer

$	ext{20.19 cm}$

Answer

$	ext{99.32 cm}$

Answer

$	ext{53.30 cm}$

Question 9

A triangular lawn has sides of length $	ext{13 m, 11 m }$ and $	ext{4 m}.$
Work out the area of the lawn to $3$ significant figures.

Accepted Answer

$	ext{20.5 m}^2$

Answer

$	ext{35.3 m}^2$

Answer

$	ext{12.5 m}^2$

Answer

$	ext{26.9 m}^2$

Question 10

$ABC$ is a right-angled triangle with hypotenuse $AB 	ext{= 25 m.}$
Angle $ABC$ is $32 \degree$ and side $AC$ is also one side of the triangle $ACD$.
The other two sides of triangle $ACD$ measure $	ext{36 m}$ and $	ext{26 m.}$
Work out the area of shape $ABCD$ to $1$ decimal place.

Accepted Answer

$	ext{272.0 m}^2$

Answer

$	ext{104.4 m}^2$

Answer

$	ext{184.9 m}^2$

Answer

$	ext{89.8 m}^2$

Question 11

Work out the area of the sector to 1 decimal place.

Accepted Answer

$98.2 	ext { cm}^2$

Answer

$129.4 	ext { cm}^2$

Answer

$42.7 	ext { cm}^2$

Answer

$64.9 	ext { cm}^2$

Question 12

Work out the arc length to 1 decimal place.

Accepted Answer

$	ext {13.1 cm}$

Answer

$	ext {8.3 cm}$

Answer

$	ext {19.6 cm}$

Answer

$	ext {22.0 cm}$

Question 13

A pizza has a radius of $	ext {12 cm.}$ Jason takes a slice of the pizza. The remaining pizza has a perimeter of $	ext {90 cm.}$
To the nearest degree, work out the angle, $	heta$, of Jason’s slice of pizza.

Accepted Answer

$45 \degree$

Answer

$56 \degree$

Answer

$30 \degree$

Answer

$16 \degree$

Question 14

The diagram shows the intersection of a circle, centre $O$, and an equilateral triangle, $OAB$

$\qquad AB = 	ext {8 cm. }$ $C$ and $D$ are the midpoints of $OA$ and $OB$ respectively.
Work out the exact area of the shaded region $ABCD$.

Accepted Answer

$ \left(16 \sqrt 3- \frac{8 \pi}{3} ight)	ext { cm}^2 $

Answer

$\left(\frac{7}{3} +2 \piight)	ext { cm}^2$

Answer

$ \left( \frac{9}{3} -\frac{6 \sqrt 5}{2} \piight) 	ext { cm}^2$

Answer

$\left(\frac{13}{7} -6 \sqrt 5ight)	ext { cm}^2$

Question 15

The diagram shows the intersection of a circle, centre $O$, and an equilateral triangle, $OAB$

$ \qquad AB = 	ext {8 cm. } C$ and $D$ are the midpoints of $OA$ and $OB$ respectively.
A chord is drawn on the circle from $C$ to $D$.
Work out, to $1$ decimal place, the area of the minor segment formed.

Accepted Answer

$1.4	ext { cm}^2$

Answer

$3.1	ext { cm}^2$

Answer

$12.3	ext { cm}^2$

Answer

$8.7	ext { cm}^2$

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