Printable · GCSE Foundation · ages 14-16
Geometry and measures worksheet — GCSE Foundation
Fifteen questions across the geometry and measures statements at Foundation tier. Choose the non-calculator filter to rehearse Paper 1, which counts for a third of the marks.
Non-calculator
Geometry and measures worksheet — GCSE Foundation
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- 1.p is the column vector with top number 5 and bottom number 1. q is the column vector with top number −2 and bottom number 3. Work out p − 2q, giving your answer as a column vector in the form (top, bottom).
- 2.The diagram shows a solid resting on its side on a table. Work out which shape is its plan view, the view looking straight down from above.
- 3.In a kite, one pair of opposite angles are equal in size. In kite WXYZ, angle X = 40° and angle Z = 100° are the two angles that are NOT equal to each other. The other two angles, W and Y, are equal to each other. Work out the size of angle W.
- 4.Quadrilateral WXYZ has WX parallel to ZY, and WZ = XY (the two non-parallel sides are equal in length). Give a reason why angle W = angle X.
- 5.A scale drawing shows a room that is 5 cm wide. The real room is 15 m wide. Write the scale of the drawing in the form 1 : n.
- 6.A line segment joins two points on the circumference of a circle, without necessarily passing through the centre. Write down the general term for this line segment.
- 7.Which of the following is NOT one of the four basic conditions used to prove two triangles are congruent?
- 8.A circular clock face has a diameter of 18 cm. Work out the circumference of the clock face. Use π = 3.14.
- 9.A quadrilateral has angles of 100°, 85° and 95° at three of its vertices. Work out the fourth angle.
- 10.A wooden cube has edges of length 4 cm. Work out the total surface area of the cube.
- 11.Two triangles are congruent to each other. What does this tell you about their angles and sides?
- 12.How many edges does a cube have?
- 13.Write down the exact value of sin 45°.
- 14.Point A and point B are 5 cm apart. How many points are exactly 4 cm from A and exactly 3 cm from B?
- 15.A rhombus has all four sides equal in length, but it is not a square — its angles are not all 90°. How many lines of symmetry does this rhombus have?
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