1. A plane flies for 200 km on a bearing of 255° from Luton to Cardiff airport.

It lands at Cardiff and then takes off again flying for 225 km on a bearing of 15° to Manchester airport. It then flew back to Luton.

a) Draw luton as a cross at the middle right of a piece of paper. Then using a protractor and ruler make a scale drawing with 25 km = 1 cm.

b) Estimate the bearing and distance (km) from Manchester to Luton.

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2. ABC is a right angled triangle.

AB = 10 cm Angle CAB = 50°

Calculate the length of BC to two dp

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3. ABC is a right angled triangle.

AB = 9 cm Angle CAB = 36 °

Calculate the length of AC to two sf.

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4. ABC is a right angled triangle.

AC = 12 cm
Angle CAB = 58 °

Calculate the length of CB to three sf.

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5. A flag pole P is 4.3m W of scout hut H

A camp fire F, is 5.5m N of the flag pole P.

a) Calculate the size of the angle y to 2 sf.

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9. ABC is a triangle.
BC = 11 cm AC = 5 cm
Angle ACB = 80°

Calculate the area of the triangle.

Give your answer correct to 3 sf.

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10. ABC is a triangle with an area of 20cm^{2}

AB = 9.5 cm
Angle ABC = 70°

Calculate the length of side CB.

Give your answer correct to 1 dp

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11. ABC is a triangle
CB = 8.5 cm AC = 6.3 cm
Angle CAB = 63°

Calculate angle CBA of the triangle.

Give your answer correct to 1 dp.

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12. ABC is a triangle

CB = 7 cm
Angle CAB = 40 °

Angle ABC = 95 °

Calculate the length of side AC.

Give your answer correct to 1 dp.

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13. ABC is a triangle

AC = 8 cm AB = 7.5 cm
Angle CAB = 45°

Calculate the length of side CB.

Give your answer correct to 1 dp.

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14. ABC is a triangle

AC = 11.5 cm
AB = 8.8 cm

BC = 6 cm

Calculate angle ACB of the triangle.

Give your answer correct to 1 dp.

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15. In the diagram QOP =52°, OQP =60°.

PN = 11 cm, ON = 20 cm and QP = 17 cm.

a) Find the length of OP correct to one dp

b) Find the angle ONP correct to one dp

c) Calculate the area of the triangle NOP

Give your answer correct to three sf.

16. A pyramid is shown below with apex X.

Each of the sloping edges is 7 cm.

The base of the pyramid is a regular hexagon with sides of length 4cm.
O is the centre.

a) Calculate the height of X above the base of the pyramid
Give your answer to 3 sf.

b) Calculate the size of angle JXG

Give your answer correct to 3 sf.

c) Calculate the size of angle GXI
Give your answer correct to 3 significant figures

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