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 · Non-calculator · 15 questions

MathsUKwww.geekhero.co.uk

1.A circle has a radius of 3 cm. Work out the diameter of the circle.
(a)6 cm
(b)1.5 cm
(c)3 cm
(d)5 cm
2.In this question, a curved surface counts as a face. How many faces does a cone have?
(a)2
(b)1
(c)3
(d)0
3.Which of the following is the correct definition of a regular polygon?
(a)All of its sides are equal in length
(b)It has at least one line of symmetry
(c)Equal sides and equal interior angles
(d)All of its interior angles are equal
4.Two metal window frames are checked before installation. Frame A has edges of 40 cm and 65 cm, with a marked angle of 35° at the far end of the 65 cm edge, away from where the two given edges meet. Frame B has matching edges of 40 cm and 65 cm, with a matching 35° angle in the same position. The fitter wants to know if these measurements alone guarantee the two frames are congruent. What should the fitter be told?
(a)No — the angle is not between the two sides
(b)Yes — SSS, since three measurements are given
(c)Yes — SAS, since two sides and an angle match
(d)No — because only two sides were measured
5.In an isosceles triangle each of the two base angles is 46°. Work out the size of the angle at the apex.
(a)92°
(b)134°
(c)46°
(d)88°
6.A survey team measures the angle between two fences with a protractor and gets a reading of 254°. What type of angle is this?
(a)Right
(b)Acute
(c)Reflex
(d)Obtuse
7.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?
(a)Rhombus
(b)Square
(c)Rectangle
(d)Kite
8.A rectangular gate is braced with a diagonal strut. The gate is 1.2 m wide and 0.9 m tall. Work out the exact length of the diagonal strut.
(a)2.1 m
(b)0.3 m
(c)2.25 m
(d)1.5 m
9.Triangle ABC is similar to triangle PQR. AB corresponds to PQ, and BC corresponds to QR. AB = 5 cm, PQ = 15 cm and BC = 7 cm. Work out the length of QR.
(a)35 cm
(b)7 cm
(c)2.33 cm
(d)21 cm
10.Write down the exact value of cos 30°.
(a)1
(b)1/2
(c)√2/2
(d)√3/2
11.A translation moves the point (1, 1) to the point (9, 4). Write down the column vector of this translation.
(a) $(8 3)$
(b) $(3 8)$
(c) $(5 10)$
(d) $(- 3 - 8)$
12.Two angles lie on a straight line. One angle is 118°. Which reason correctly explains why the other angle is 62°?
(a)angles round a point add up to 360°
(b)angles on a straight line add up to 180°
(c)vertically opposite angles are equal
(d)angles in a triangle add up to 180°
13.Triangle DEF is isosceles, with DE = DF. Angle E = 58°. Work out angle F.
(a)64°
(b)32°
(c)58°
(d)122°
14.Triangle ABC is drawn. The interior angle bisectors from vertices A and B are constructed and meet at point I inside the triangle. Which statement about point I must be true?
(a)I is the midpoint of side AB.
(b)I lies on side AC.
(c)I is the same distance from all three sides.
(d)I is the same distance from all three vertices.
15.The three angles of a triangle are 10°, 58° and 112°. Write down the name that describes this triangle.
(a)Isosceles
(b)Right-angled
(c)Scalene
(d)Equilateral

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