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.The midpoint of the line segment AB is (3, 5). A is the point (1, 3). Work out the coordinates of B.
- 2.Two angles are complementary. One of them is 35°. Work out the size of the other angle.
- 3.Two similar signs have lengths in the ratio 9 : 4. The larger sign has a side of length 14.4 cm. Work out the length of the corresponding side of the smaller sign.
- 4.A parallelogram has a base of 4 cm and a perpendicular height of 17 cm. Work out the area of the parallelogram.
- 5.A hiker walks due west. What is the three-figure bearing for this direction?
- 6.Triangle DEF has a right angle at E. Angle DFE = 60° and EF = 9 cm. Work out the exact length of DE.
- 7.A recipe uses 1.25 kg of flour. Work out how many grams of flour this is.
- 8.A(1, 2), B(5, 2) and C(5, 6) are three of the four vertices of a square ABCD. Work out the coordinates of D.
- 9.A circle has a radius of 3 cm. Work out the diameter of the circle.
- 10.The point (0, −5) lies on one of the two coordinate axes. Write down which axis this is.
- 11.Rectangle ABCD has vertices A(−1, 2), B(4, 2), C(4, 5) and D(−1, 5). The rectangle is translated so that C moves to (0, −1). Write down the coordinates of the image of A.
- 12.An angle is measured with a protractor as 47°. What type of angle is this?
- 13.A train leaves Leeds at 08:47 and arrives in London at 11:05. Work out how long the journey takes.
- 14.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?
- 15.A solid is built from centimetre cubes: a base layer of 2 rows of 3 cubes each (a 3 by 2 rectangle of cubes), with one extra cube placed on top of one corner cube of that base. Looking down from directly above (the plan view), how many squares are visible?
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