Geometry: Properties of Shapes and Angles - Worksheets, Questions and Revision

20 original exam-style questions - 5 pages of questions with a full mark scheme - free printable PDF.

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KS2 · Geometry

KS2.M-GEOM Geometry: Properties of Shapes and Angles

NCETM National Curriculum (2014) Mathematics - KS2 Geometry: Properties of Shapes · Calculators not allowed · about 60 minutes
Total Marks
Name: _______________________________    Date: ____ / ____ / ______
Answer ALL questions. Show all your working.
1
Write down the name of a 2D shape that has exactly 3 straight sides.
(1)
2
A quadrilateral has 4 sides that are all the same length, but it has no right angles. Write down the name of this shape.
(1)
3
For each angle below, write down whether it is acute, right angle, obtuse or reflex.
(a)35 degrees(1)
(b)90 degrees(1)
(c)152 degrees(1)
(d)278 degrees(1)
4
Write down the number of lines of symmetry in each shape.
(a)A square(1)
(b)An isosceles triangle (not equilateral)(1)
5
Two angles lie on a straight line. One of the angles is 118 degrees. Work out the size of the other angle.
(2)
6
Three angles meet at a point. Two of the angles are 95 degrees and 140 degrees. Work out the size of the third angle.
(2)
7
The three angles inside a triangle are 48 degrees, 67 degrees and x degrees. Work out the value of x.
(2)
8
The four angles inside a quadrilateral are 92 degrees, 88 degrees, 101 degrees and y degrees. Work out the value of y.
(2)
9
Classify each triangle using its properties.
(a)A triangle has sides of length 6 cm, 6 cm and 6 cm. Write down the name of this type of triangle.(1)
(b)A triangle has angles of 90 degrees, 45 degrees and 45 degrees. Write down the name of this type of triangle, giving both of its properties.(1)
10
A cuboid is a 3D shape.
(a)Write down the number of flat faces a cuboid has.(1)
(b)Write down the number of edges a cuboid has.(1)
(c)Write down the number of vertices a cuboid has.(1)
11
A circle has a diameter of 18 cm. Work out the radius of the circle.
(2)
12
A circle has a radius of 6.5 cm. Work out the diameter of the circle.
(2)
13
Two straight lines cross at a point, making four angles. One of the angles is 73 degrees.
(a)Write down the size of the angle vertically opposite the 73 degree angle.(1)
(b)Work out the size of one of the angles next to the 73 degree angle, on the same straight line.(2)
14
A regular hexagon has an interior angle of 120 degrees. Work out the sum of all six interior angles of the hexagon.
(2)
15
An isosceles triangle has one angle of 40 degrees, which is the angle between the two equal sides. Work out the size of each of the other two angles.
(3)
16
Two angles lie on a straight line. One angle is 3p degrees and the other is (p + 20) degrees. Work out the value of p.
(3)
17
Tick the shape that has two pairs of parallel sides and no right angles.
  • A) Square
  • B) Parallelogram
  • C) Kite
  • D) Right-angled triangle
18
A regular pentagon is drawn.
(a)Write down the number of lines of symmetry a regular pentagon has.(1)
(b)Write down the order of rotational symmetry of a regular pentagon.(1)
19
A straight line has three angles marked on one side of it, meeting at the same point: 2x degrees, (x + 10) degrees and (3x - 10) degrees. Work out the size of each of the three angles.
(4)
20
A regular polygon has 9 sides. It can be split into triangles by drawing lines from one vertex to every other vertex. Use this fact to work out the sum of the interior angles of the polygon.
(3)
Mark scheme · KS2.M-GEOM Geometry: Properties of Shapes and Angles

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Question 17

Question 18

Question 19

Question 20