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 exact value of cos 30°.
- 2.A circle has a radius of 3 cm. Work out the diameter of the circle.
- 3.Work out the y-coordinate of the midpoint of the line segment joining (2, 4) and (8, 10).
- 4.In an isosceles triangle each of the two base angles is 46°. Work out the size of the angle at the apex.
- 5.A hexagon has interior angles of 130°, 142°, 125°, 150°, 135° and x°. Work out the value of x.
- 6.A surveyor is marking out field ABCD for a new crop. The plan states that side AB is parallel to side DC, but AB and DC are not equal in length, and sides BC and AD are not parallel to each other. Which term correctly describes the shape of field ABCD?
- 7.An isosceles triangle ABC has AB equal to AC. AM is a line from vertex A, perpendicular to BC, meeting BC at point M. Which condition proves that triangle ABM is congruent to triangle ACM?
- 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.Here are four trigonometric ratios of special angles. Write down the one that does not have a value.
- 10.Triangle JKL and triangle MNP are similar, with JK ÷ MN = JL ÷ MP = 2. A student says triangle JKL must be congruent to triangle MNP. Write down why the student is wrong.
- 11.Freya is designing a triangular flower bed. Two of its corners have equal angles, and the angle at the third corner is 40°. Work out the size of one of the two equal corner angles.
- 12.Write down which one of these quadrilaterals always has diagonals that are equal in length and that cross at right angles.
- 13.A polygon has 12 straight sides. What is the mathematical name for this polygon?
- 14.A hiker walks on a bearing of 065°. She then turns clockwise through 90° and continues walking in a straight line. What bearing is she now walking on?
- 15.Work out the exact value of cos 0° − sin 30°.
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