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.A survey team measures the angle between two fences with a protractor and gets a reading of 254°. What type of angle is this?
- 2.A water tank is a cube with edges of length 2 m. Work out how many cubic centimetres the tank holds when it is full.
- 3.A triangular badge has two sides of length 8 cm and a third side of length 5 cm. Work out the perimeter of the badge.
- 4.Two similar shapes have lengths in the ratio 1 : 3. A side of the smaller shape is 4 cm long. Work out the length of the corresponding side of the larger shape.
- 5.A running track has a straight section and a semicircular bend. The bend is a semicircle with radius 32 m. Work out the length of the curved part of the bend, to 1 decimal place. (Use π = 3.14.)
- 6.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.
- 7.A chord is drawn across a circle, dividing the circle into two regions. Write down the name of one of these two regions.
- 8.Shape S has an area of 48 cm². It is enlarged by a scale factor of 1/4 to give shape T. Work out the area of shape T.
- 9.In the RHS congruence condition, which three facts must be true about two triangles for RHS to prove they are congruent?
- 10.In this question, a curved surface counts as a face. How many faces does a sphere have?
- 11.A sector of a circle has radius 10 cm and angle 72°. Using π = 3.14, work out the arc length of the sector.
- 12.In an isosceles triangle each of the two base angles is 46°. Work out the size of the angle at the apex.
- 13.A ladder of length 7 m leans against a vertical wall. The foot of the ladder is 3 m from the base of the wall. Work out how high up the wall the ladder reaches. Give your answer correct to 1 decimal place.
- 14.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?
- 15.A circle has diameter 10 cm. Using π = 3.14, work out the circumference of the circle.
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