Geometry: Angles, Shapes and Reflection - Worksheets, Questions and Revision

12 original exam-style questions - 3 pages of questions with a full mark scheme - free printable PDF.

Download PDF Jump to mark scheme (page 4)Geometry: Angles, Shapes and Reflection revision guide

This topic is chapter 3 of KS2 Maths: Geometry Practice Book.

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8.6 Geometry: Angles, Shapes and Reflection

Calculators not allowed · about 25 minutes

Total Marks

Name: _______________________________ Date: ____ / ____ / ______

Answer ALL questions. Show all your working.

The corner of a square is a right angle. What is the size of a right angle in degrees?

(1)

A shape is reflected across a horizontal mirror line at y = 5. A vertex at (4, 2) moves under the reflection. Give the new coordinates of that vertex.

(2)

Here is a kite. Two opposite angles of a kite are equal. If one angle is 72 degrees and an angle next to it is 108 degrees, explain why the angle opposite the 72 degree angle is also 72 degrees, and then work out the size of the fourth angle.

(3)

A rectangle has one angle marked as 90 degrees and the adjacent angle labelled x. What is the value of x?

(1)

A triangle has two angles measuring 50 degrees and 60 degrees. Work out the size of the third angle.

(1)

A straight line is split by a point so that one angle on the line is 125 degrees. Write the sum of the two angles that share a straight line and give the size of the other angle.

(1)

A reflex angle measures 250 degrees. Calculate the smaller angle made at the same vertex (the reflex complement).

(2)

On a straight line, one angle is 35 degrees and the other is x degrees. Work out x.

(2)

At a point three angles meet. Two of the angles are 110 degrees and 95 degrees. Calculate the size of the third angle y.

(2)

A regular pentagon has all interior angles equal. Write down the size of one interior angle of a regular pentagon.

(1)

Use a protractor to draw an angle of 135 degrees. You do not need to show ruler or protractor marks, but show the angle clearly.

(2)

A line segment AB has A at (2, 3) and B at (5, 3). The segment is reflected across the vertical mirror line x = 6 to make A'B'. Calculate the coordinates of A' and B' after the reflection.

(2)

Mark scheme · 8.6 Geometry: Angles, Shapes and Reflection

Question 1

B1 90 degrees cao
Answer: 90 degrees

Question 2

M1 Understands reflection in y = 5 keeps the x-coordinate and reflects the y-coordinate about 5
B1 (4, 8) cao
Answer: (4, 8)

Question 3

M1 States property: a kite has a pair of opposite equal angles (identifies which angles are equal)
M1 Uses angle sum 72 + 108 + 72 + ? = 360 or equivalent reasoning to find the missing angle
B1 Fourth angle 108 degrees cao
Answer: 108 degrees

Question 4

B1 90 degrees cao
Answer: 90 degrees

Question 5

B1 70 degrees cao
Answer: 70 degrees

Question 6

B1 180 degrees and 55 degrees cao
Answer: 180 degrees; other angle 55 degrees

Question 7

M1 Recognises need to subtract from 360 or to find reflex complement, e.g. 360 - 250
B1 110 degrees cao
Answer: 110 degrees

Question 8

M1 Uses 35 + x = 180 or describes correct equation
B1 145 degrees cao
Answer: 145 degrees

Question 9

M1 Uses 110 + 95 + y = 360 or equivalent
B1 155 degrees cao
Answer: 155 degrees

Question 10

B1 108 degrees cao
Answer: 108 degrees

Question 11

M1 Arm placement roughly correct showing one arm as reference and the other at appropriate obtuse position
B1 Clear angle close to 135 degrees (within drawing tolerance) oe
Answer: 135 degrees

Question 12

M1 Recognises reflection in x = 6 keeps each y-coordinate and reflects each x-coordinate about 6
B1 A' = (10, 3) and B' = (7, 3) cao
Answer: A' = (10, 3), B' = (7, 3)

Geometry: Angles, Shapes and Reflection - Worksheets, Questions and Revision

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8.6 Geometry: Angles, Shapes and Reflection

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