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.
Geometry and measures worksheet — GCSE Foundation
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- 1.The angle between north and a cycle path is 40°, but it is measured anticlockwise from north. What is the three-figure bearing of the cycle path?
- 2.A birthday cake is a cylinder of radius 10 cm and height 8 cm, with a thin ribbon fixed exactly once around the curved side, at half the height, and joined with no overlap. Work out the length of ribbon needed. Use π = 3.14.
- 3.The curved part of a circle's circumference, between two points on the circle, has its own name. Write down this name.
- 4.A sector of a circle has radius 4 cm and angle 90°. Using π = 3.14, work out the area of the sector.
- 5.A solid has 5 faces: one square face and four triangular faces, which all meet at a single point above the square. What is the name of this solid?
- 6.A crane's hook starts at the point (3.4, 9.5) on a construction site plan measured in metres. It moves along the vector to pick up a beam, then along the vector to place it. Work out the single column vector that describes the hook's overall movement from its start position to where it places the beam.
- 7.The point (4, −3) is reflected in the y-axis. Work out the coordinates of the image point.
- 8.Lines JK and LM are parallel. A straight line crosses JK at point P and crosses LM at point Q. Angle KPQ = 118°. Angle KPQ and angle MQP are co-interior (allied) angles. Work out angle MQP.
- 9.Write down the exact value of sin 45°.
- 10.The point (2, 5) is translated 3 units right and 4 units down. Work out the coordinates of the image point.
- 11.Two straight lines PQ and RS cross at point O. Angle POR = 52°. Work out angle QOS.
- 12.A rhombus has all four sides equal in length. Which statement about a rhombus is correct?
- 13.A straight line touches the edge of a circle at exactly one point and does not cross into the circle at all. Write down the term for this line.
- 14.Triangle ABC has a right angle at B. Triangle DEF has a right angle at E. The hypotenuse of triangle ABC equals the hypotenuse of triangle DEF, and side AB equals side DE. Which condition proves that the two triangles are congruent?
- 15.A sector of a circle has an angle of 150°. Work out what fraction of the circle's area the sector is.
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