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.Triangle ABC is drawn. The interior angle bisectors from vertices A and B are constructed and meet at point I inside the triangle. Which statement about point I must be true?
- 2.The point (2, 5) is translated 3 units right and 4 units down. Work out the coordinates of the image point.
- 3.A tangent to a circle with centre O touches the circle at point P, where OP = 5 cm. Point Q lies on the tangent so that PQ = 12 cm. Using the fact that a tangent is perpendicular to the radius at the point of contact, work out the length OQ.
- 4.Which of these describes an obtuse angle?
- 5.Which of the following correctly describes what it means for two lines to be perpendicular?
- 6.A square-based pyramid has a square base and four identical triangular sloping faces, with its apex directly above the centre of the base. How many planes of symmetry does it have?
- 7.Triangle XYZ has angle X = 90°. Angle Y = 34°. Work out angle Z.
- 8.A church tower is due east of a village. What is the three-figure bearing of the church tower from the village?
- 9.Write down the exact value of tan 60°.
- 10.A regular hexagon is divided into six identical triangles by joining its centre to each of the six vertices. Work out the size of the angle of one of these triangles at the centre of the hexagon.
- 11.Three of these are rational numbers and one is irrational. Write down the one that is irrational.
- 12.A triangle has vertices X, Y and Z, with a right angle at Y. Side XY is twice as long as side YZ. Which of the following correctly describes this triangle?
- 13.A robot on a grid moves by the vector , then by the vector , then by the vector . Write down the single column vector that has the same overall effect as these three moves.
- 14.A hexagonal prism has 8 faces and 12 vertices. Using F + V − E = 2, work out how many edges it has.
- 15.Two straight lines PQ and RS cross at point O. Angle POR = 52°. Work out angle QOS.
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