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.Write down the exact value of tan 60°.
- 2.Triangle PQR has vertices P(0, 0), Q(6, 0) and R(0, 8). Work out the perimeter of the triangle.
- 3.A quadrilateral has all four sides equal in length and all four interior angles equal to 90°. Its diagonals are equal in length and bisect each other at right angles. Which quadrilateral matches this description exactly?
- 4.Triangle DEF is isosceles, with DE = DF. Angle E = 58°. Give a reason why angle F = 58°.
- 5.A chord is drawn across a circle, dividing the circle into two regions. Write down the name of one of these two regions.
- 6.A circular plate has a diameter of 20 cm. Work out the area of the plate. Use π = 3.14.
- 7.A circular clock face has a diameter of 18 cm. Work out the circumference of the clock face. Use π = 3.14.
- 8.A locus consists of all the points that are the same perpendicular distance from two parallel lines 6 cm apart. Describe this locus.
- 9.A furniture catalogue drawing uses a scale of 1 cm to 1.5 m. A sofa in the drawing is measured as 7 cm long. What is the real length of the sofa, in metres?
- 10.A trapezium has parallel sides of 5 cm and 11 cm, and a perpendicular height of 4 cm. Work out the area of the trapezium.
- 11.Four angles meet at a point. Three of them measure 82°, 105° and 96°. Work out the size of the fourth angle.
- 12.A solid has one curved surface and two flat circular faces of equal size, one at each end. What is the name of this solid?
- 13.Write down how many right angles a rectangle has.
- 14.The diagram shows a solid built from identical cubes. How many squares are in its plan view, the view looking straight down from above?
- 15.A student draws a net using 5 identical squares arranged in a row of four with one extra square attached to the side of one of them. Can this net be folded to make a closed cube?
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