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.Each of these has an exact value. Write down the one whose value is the greatest.
- 2.A hexagonal prism has 8 faces and 12 vertices. Using F + V − E = 2, work out how many edges it has.
- 3.Four angles meet at a point. Three of them measure 82°, 105° and 96°. Work out the size of the fourth angle.
- 4.Two straight lines cross at a point. Which statement about a pair of vertically opposite angles is always true?
- 5.m is the column vector with top number 3 and bottom number −4. Which of these column vectors is a scalar multiple of m?
- 6.The column vector describes a translation. Write down the movement it represents.
- 7.A circle has two straight radii drawn from the centre to the edge, together with the arc between them. Write down the name of the region enclosed by these two radii and the arc.
- 8.A regular nonagon has 9 sides. Work out the sum of its interior angles.
- 9.A rectangular name card has a perimeter of 30 cm. The card is 9 cm long. Work out the width of the card.
- 10.The point (2, 5) is translated 3 units right and 4 units down. Work out the coordinates of the image point.
- 11.An isosceles trapezium has exactly one pair of parallel sides, and its two non-parallel sides are equal in length. How many lines of symmetry does it have?
- 12.A straight transversal crosses a pair of parallel lines. At one crossing point, the angle between the transversal and a parallel line is 118°. Work out the size of the co-interior (allied) angle at the other crossing point.
- 13.A plumber charges a £45 call-out fee, plus £28 for each hour worked. She works on a job for 3 hours 30 minutes, and her hours are billed by rounding up to the next whole hour. Work out the total amount she charges.
- 14.A quadrilateral has two pairs of parallel sides. All four of its interior angles are right angles, but its sides are not all the same length. Which quadrilateral is this?
- 15.A right-angled triangle has angles of 90°, 40° and x°. Work out the value of x.
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