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

18 original exam-style questions - 4 pages of questions with a full mark scheme - free printable PDF.

This topic is chapter 1 of KS2 Maths: Geometry Practice Book.

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KS2 · Geometry: Shapes, Angles and Lines

8.4 Geometry: Shapes, Angles and Lines

Calculators not allowed · about 35 minutes
Total Marks
Name: _______________________________    Date: ____ / ____ / ______
Answer ALL questions. Show all your working.
1
A shape has four equal sides and four right angles. What is the name of this shape?
(1)
2
How many edges does a cuboid (rectangular prism) have?
(1)
3
A child draws a shape with five straight sides. What is the name of this 2D shape?
(1)
4
Which of these shapes always has right angles: square or rhombus? Explain your answer.
(2)
5
A toy model is a square-based pyramid. How many faces, edges and vertices does a square-based pyramid have? Give each answer.
(a)Number of faces(1)
(b)Number of edges(1)
(c)Number of vertices(1)
6
A shape has six equal square faces and looks like a dice. What 3D shape is this? Explain why each face is the same shape.
(2)
7
Is a circle a polygon? Explain your answer. In your explanation say whether a circle has straight sides and how this compares to polygons.
(2)
8
Drawn on a page are two lines that meet and form four angles. One of the angles is 90 degrees. How many of the angles are 90 degrees?
(1)
9
A rectangle measures 6 cm by 3 cm. How many right angles are inside the rectangle altogether? Give a reason.
(2)
10
Priya draws two lines that cross like a plus sign. Are these lines perpendicular and do they make right angles? Explain your answer.
(2)
11
A small gift box is shaped like a cube. How many flat faces does the cube have?
(1)
12
A triangular prism is shown in a toy set. How many vertices (corners) does a triangular prism have?
(1)
13
How many lines of symmetry does an equilateral triangle have?
(1)
14
Is a rectangle a regular polygon? Explain your answer.
(2)
15
An angle measures 90 degrees. Is this a right angle? Tick the correct answer: Yes or No.
  • Yes
  • No
16
On a sheet of paper the top edge is horizontal. Is the left edge horizontal or vertical?
  • horizontal
  • vertical
17
Line A and line B are shown on a ruler. They never meet, and the distance between them stays the same along their length. Are the lines parallel? Explain your answer.
(2)
18
Two lines meet and make a right angle. Are these lines perpendicular? Write Yes or No.
  • Yes
  • No
Mark scheme · 8.4 Geometry: Shapes, Angles and Lines

Question 1

  • B1 square cao
  • Answer: square

Question 2

  • B1 12 cao
  • Answer: 12

Question 3

  • B1 pentagon cao
  • Answer: pentagon

Question 4

  • B1 Square identified cao
  • B1 Reason that a square has four right angles while a rhombus may not have right angles oe
  • Answer: Square; because a square has four right angles but a rhombus does not have to

Question 5

  • (a) B1 5 cao
  • (a) Answer: 5
  • (b) B1 8 cao
  • (b) Answer: 8
  • (c) B1 5 cao
  • (c) Answer: 5

Question 6

  • B1 Cube identified cao
  • B1 Reason that each face is a square and all faces are equal in size oe
  • Answer: Cube; all faces are squares and equal in size

Question 7

  • B1 Correct identification (No) cao
  • B1 Reason that a circle has no straight sides while polygons are made of straight sides oe
  • Answer: No; a circle has a curved edge and no straight sides, unlike polygons which have straight sides

Question 8

  • B1 4 cao
  • Answer: 4

Question 9

  • B1 4 identified cao
  • B1 Reason that each corner is a right angle oe
  • Answer: 4; each of the four corners is a right angle

Question 10

  • B1 Yes identified cao
  • B1 Reason that they meet at right angles and make right angles oe
  • Answer: Yes; they meet at right angles and so form right angles

Question 11

  • B1 6 cao
  • Answer: 6

Question 12

  • B1 6 cao
  • Answer: 6

Question 13

  • B1 3 cao
  • Answer: 3

Question 14

  • B1 Correct identification (No) cao
  • B1 Reason that a rectangle does not have all sides equal oe
  • Answer: No; a rectangle can have opposite sides equal but not all four sides equal

Question 15

  • B1 Yes cao
  • Answer: Yes

Question 16

  • B1 vertical cao
  • Answer: vertical

Question 17

  • B1 Correct identification (Yes) cao
  • B1 Reason that they never meet and remain the same distance apart oe
  • Answer: Yes; they never meet and stay the same distance apart

Question 18

  • B1 Yes cao
  • Answer: Yes

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