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.Write down the name given to a triangle whose three sides are all the same length.
- 2.Work out the exact value of cos 0° − sin 30°.
- 3.A polygon has 12 straight sides. What is the mathematical name for this polygon?
- 4.Write down which quadrant contains the point (−3, 5) when plotted on a coordinate grid.
- 5.A circle has circumference 31.4 cm. Using π = 3.14, work out the radius of the circle.
- 6.A solid has two parallel, congruent polygon faces joined by flat rectangles, and its cross-section is the same shape all the way along its length. Which solid is it?
- 7.Which of these correctly compares a 'line' with a 'line segment'?
- 8.A straight line passes through points A, B and C, with B between A and C. A fourth point D is not on the line. Angle ABD = 132°. Work out the size of angle DBC.
- 9.A solid has 5 faces, 9 edges and 6 vertices. Two of its faces are triangles and the other three are rectangles. Which solid is it?
- 10.The point (5, −2) is reflected in the x-axis. Work out the coordinates of the image point.
- 11.A fan-shaped rug is in the shape of a sector of a circle with radius 4 m and angle 180°. It costs £4 per square metre to make. Using π = 3.14, work out the total cost of the rug.
- 12.A pop-up canopy has two sloping supports that meet at the top. Each support makes an angle of 30° with the ground and is 6 m long. Using the exact value of cos 30°, work out the total width of the canopy's base.
- 13.A jug holds 750 ml of water. Work out what fraction of a litre this is.
- 14.Triangle ABC has a right angle at B, hypotenuse AC = 13 cm and AB = 5 cm. Triangle DEF has a right angle at E, hypotenuse DF = 13 cm and DE = 5 cm. Which condition proves the two triangles are congruent?
- 15.A rectangular tile measures 4.5 cm by 6 cm. Work out the area of the tile.
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