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.

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Geometry and measures worksheet — GCSE Foundation

Maths · GCSE Foundation · Geometry and measures · 15 questions

MathsUKwww.geekhero.co.uk

1.Write down the name given to a quadrilateral that has exactly one pair of parallel sides.
(a)Kite
(b)Rhombus
(c)Trapezium
(d)Parallelogram
2.A shop stacks identical storage crates in a display. The diagram shows the plan of the floor positions used, with one corner position marked. Every floor position is filled with crates stacked 3 high, except the marked corner position, which is left completely empty. Work out how many crates are used in total.
(a)33
(b)11
(c)36
(d)35
3.A solid cylinder is lying on its curved side on a table, with its circular ends facing left and right. What shape is its plan view, looking down from above?
(a)an oval
(b)a rectangle
(c)a triangle
(d)a circle
4.A footpath sign shows a distance of 0.45 km to the next village. Work out this distance in metres.
(a)45 m
(b)4500 m
(c)450 m
(d)0.45 m
5.A trapezium-shaped allotment plot has two parallel sides that face each other, and two sloping sides that are equal in length (an isosceles trapezium). One of the angles next to the shorter parallel side is 118°. Work out the angle next to the other end of the same shorter parallel side.
(a)180°
(b)59°
(c)62°
(d)118°
6.A parallelogram has a base of 9 cm and a perpendicular height of 6 cm. Work out the area of the parallelogram.
(a)30 cm²
(b)54 cm²
(c)15 cm²
(d)27 cm²
7.A circular coaster has a radius of 4 cm. Work out the circumference of the coaster. Give your answer in terms of π.
(a)8π cm
(b)8 cm
(c)16π cm
(d)4π cm
8.Compasses are opened to exactly half the length of AB, and arcs are drawn centred at A and at B, to construct the perpendicular bisector of AB. Why does this fail?
(a)The radius must equal the full length of AB.
(b)The arcs only meet exactly on AB, not above or below it.
(c)That radius is always too short to draw any arc.
(d)The arcs would not cross the line AB at all.
9.Which of the following is NOT one of the four basic conditions used to prove two triangles are congruent?
(a)ASA
(b)SSS
(c)SSA
(d)RHS
10.A quadrilateral has angles of 100°, 85° and 95° at three of its vertices. Work out the fourth angle.
(a)260°
(b)280°
(c)70°
(d)80°
11.In triangle ABC, angle ABC = 90° and angle BAC = 30°. The hypotenuse AC = 12 cm. Work out the exact length of AB.
(a)12√3 cm
(b)6 cm
(c)4√3 cm
(d)6√3 cm
12.A path goes from A(1, 1) to B(1, 5), then from B to C(6, 5). Work out the total length of the path from A to C.
(a)9
(b)5
(c)20
(d)4
13.Which of these correctly compares a 'line' with a 'line segment'?
(a)A line has two endpoints; a segment has none
(b)A line segment is always curved
(c)A line has no endpoints; a segment has two
(d)A line segment is a closed shape
14.A solid has a plan view that is a circle, and a front elevation that is a triangle. Which solid is this?
(a)a cone
(b)a cylinder
(c)a sphere
(d)a square-based pyramid
15.The angle between north and a footpath is 35°, measured clockwise from north. What is the three-figure bearing of the footpath?
(a)035°
(b)325°
(c)350°
(d)215°

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