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.A circular clock face has a diameter of 18 cm. Work out the circumference of the clock face. Use π = 3.14.
- 2.Write down the exact value of tan 60°.
- 3.An angle measures 108°. Write down the name given to an angle of this size.
- 4.A triangular flag has a base of 40 cm and a perpendicular height of 25 cm. Work out its area.
- 5.A circle has circumference 31.4 cm. Using π = 3.14, work out the radius of the circle.
- 6.Triangle PQR has vertices P(0, 0), Q(9, 0) and R(0, 4). Work out the area of triangle PQR.
- 7.A bearing is described as being exactly halfway between north and east, measured clockwise. What is the three-figure bearing?
- 8.In geometry, which of the following best describes a 'plane'?
- 9.A written description of a diagram states: 'AB is marked with a single arrow, CD is marked with a single arrow, and EF is marked with a double arrow.' Using the standard convention for marking parallel lines, what can be concluded?
- 10.A is the point (1, 3) and B is the point (7, 3). Work out the coordinates of the midpoint of AB.
- 11.Every diameter of a circle is an example of a more general type of straight line joining two points on the circle. Which term names that more general type of line?
- 12.In triangle ABC, angle ABC = 90° and angle BAC = 30°. The hypotenuse AC = 12 cm. Work out the exact length of AB.
- 13.Triangle ABC is extended so that side BC is extended beyond C to a point D, forming exterior angle ACD. Angle BAC = 48° and angle ABC = 67°. Which single angle fact gives angle ACD = 115° in one step, without first working out the interior angle at C?
- 14.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.
- 15.In one circle, chord PQ is 6 cm long, chord RS is 10 cm long, chord TU is 14 cm long and chord VW is 15 cm long. Write down which of these chords lies closest to the centre of the circle.
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