Edexcel IGCSE Math A Higher 4 Geometry and Trigonometry Questions

Use this Geometry and Trigonometry hub to move from angle reasoning and shape properties into area, volume, similarity, vectors and trigonometry.

Syllabus
First assessment 2018
Course
Math A 4MA1
Level
Higher

Question 1

[Maximum number: 3]

Two circles, C1C_{1} and C2C_{2}, are drawn on a centimetre grid, with a scale of 1 cm for 1 unit on each axis.

The centre of circle C1C_{1} is at the point with coordinates (-1,3) and the radius of C1C_{1} is 13 cm.

The centre of circle C2C_{2} is at the point with coordinates (7,18) and the radius of C2C_{2} is 6 cm.

Work out the distance between the centre of C1C_{1} and the centre of C2C_{2}

Question 2

[Maximum number: 4]

4 A B C and DEF are similar triangles.

Figure for Question 2 — Edexcel IGCSE Math A Higher
Figure for Question 2 — Edexcel IGCSE Math A Higher

Diagram NOT accurately drawn

Question (a)

(a)

Work out the length of DE. cm

The area of triangle DEF is 525 cm2525 \mathrm{~cm}^{2}

[ 2 ]

Question (b)

(b)

Find the area of triangle DEF in m2\mathrm{m}^{2}m2\mathrm{m}^{2}

[ 2 ]

Question 3

[Maximum number: 3]
Figure for Question 3 — Edexcel IGCSE Math A Higher

Diagram NOT accurately drawn
ACE and BCD are straight lines.
AB is parallel to DE
Work out the value of x

x=

Question 4

[Maximum number: 6]
Figure for Question 4 — Edexcel IGCSE Math A Higher

L, M, N and P are points on a circle, centre O
Angle MNP=58M N P=58^{\circ}

Question (a)

(a)

Find the size of angle MLP

[ 2 ]

Question (b)

(b)

Give a reason for your answer.

[ 2 ]

Question (c)

(c)

Find the size of the reflex angle MOP

[ 2 ]
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