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Edexcel IGCSE Math A Foundation 4.2 Polygons Questions

Practise naming polygons, using angle properties, and recognising regular, similar or congruent shapes from diagrams and grids.

Syllabus
First assessment 2018
Course
Math A 4MA1
Level
Foundation

Exam points

  • name polygons and quadrilaterals from side counts, diagrams or given shape properties
  • calculate missing interior or exterior angles using polygon and quadrilateral angle sums
  • recognise similar or congruent shapes, including matching letters or grid positions

Covered syllabus points

4.2.A Names of polygons4.2.B Quadrilaterals and their angle sum4.2.C Properties of quadrilaterals4.2.D Regular polygons and their angles4.2.E Angle sum of polygons4.2.F Congruence as meaning the same shape and size4.2.G Congruent polygons

Question 1

[Maximum number: 1]

Write down the mathematical name for an 8-sided polygon.

Figure for Question 1 — Edexcel IGCSE Math A Foundation

Question 2

[Maximum number: 3]

The diagram shows a quadrilateral.
Diagram NOT accurately drawn

Work out the value of x.

Question 3

[Maximum number: 1]

The diagram shows three points, A, B and C, marked on a grid.

Figure for Question 3 — Edexcel IGCSE Math A Foundation

The point D is such that the shape ABCD is a kite.

On the grid, mark with a cross (×) the point D
Label the point D

Question 4

[Maximum number: 4]

Here are eight shapes drawn on a grid of squares.

Figure for Question 4 — Edexcel IGCSE Math A Foundation

Shape A is a polygon.

Question (a)

(a)

Explain what this tells you about shape B.

Two of the shapes have exactly 2 lines of symmetry.

[ 1 ]

Question (b)

(b)

the length of each side,
cm

[ 1 ]

Question (c)

(c)

the size of each angle.

Figure for Question (c) — Edexcel IGCSE Math A Foundation
[ 2 ]

Question (d)

(d)

Write down the letters of these two shapes. and

One of the shapes is congruent to shape G.

[ 2 ]

Question (e)

(e)

Write down the letter of this shape.

One of the shapes is similar to shape F.

[ 1 ]

Question 5

[Maximum number: 3]

The size of each exterior angle of a regular polygon is 24∘24^{\circ}

Here is a pentagon.

Figure for Question 5 — Edexcel IGCSE Math A Foundation

Diagram NOT accurately drawn

Work out the value of t.

Question 6

[Maximum number: 1]
Figure for Question 6 — Edexcel IGCSE Math A Foundation

On the grid, draw a shape that is congruent to shape J

Figure for Question 6 — Edexcel IGCSE Math A Foundation
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