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

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1.Point C is at (5, 2). It is reflected in the x-axis. Work out the coordinates of the image of point C.
(a)(−5, 2)
(b)(5, −2)
(c)(2, 5)
(d)(−5, −2)
2.A sector of a circle has radius 15 cm and angle 216°. Using π = 3.14, work out the arc length of the sector.
(a)94.2 cm
(b)56.52 cm
(c)28.26 cm
(d)113.04 cm
3.A hexagon has interior angles of 130°, 142°, 125°, 150°, 135° and x°. Work out the value of x.
(a)142°
(b)40°
(c)38°
(d)398°
4.A cuboid measures 5 cm long (left to right), 3 cm deep (front to back) and 2 cm tall. Its front elevation is 5 cm wide by 2 cm high. Its side elevation is 3 cm wide by 2 cm high. What are the dimensions of its plan view, looking down from above?
(a)5 cm by 2 cm
(b)5 cm by 3 cm
(c)3 cm by 2 cm
(d)5 cm by 5 cm
5.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
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?
(a)kite
(b)trapezium
(c)rhombus
(d)parallelogram
7.Write down the exact value of sin 60°.
(a)1/2
(b)√2/2
(c)√3/2
(d)√3
8.A gardener wants to buy edging trim to go all the way around a circular flower bed with a diameter of 8 m. Work out the length of edging trim needed, using π = 3.14. Give your answer to the nearest metre.
(a)50 m
(b)201 m
(c)25 m
(d)13 m
9.A cake recipe takes 135 minutes from start to finish. Write this time as hours and minutes.
(a)1 hour 15 minutes
(b)1 hour 35 minutes
(c)2 hours 15 minutes
(d)2 hours 25 minutes
10.A shape is translated by the vector $(4 - 3)$ . The point P(6, 1) lies on the shape. Write down the coordinates of the image of P.
(a)(3, −3)
(b)(3, 5)
(c)(9, −3)
(d)(10, −2)
11.A wooden block is a cuboid measuring 2 cm by 10 cm by 15 cm. Work out the volume of the block.
(a)27 cm³
(b)400 cm²
(c)150 cm³
(d)300 cm³
12.Point A and point B are 5 cm apart. How many points are exactly 4 cm from A and exactly 3 cm from B?
(a)4
(b)0
(c)2
(d)1
13.Write down the name given to a quadrilateral with exactly one pair of parallel sides.
(a)Trapezium
(b)Kite
(c)Rhombus
(d)Parallelogram
14.A sector of a circle has an angle of 90° at the centre. Write down what fraction of the whole circle this sector represents.
(a)3/4
(b)1/2
(c)1/4
(d)1/8
15.Work out the distance between the point (0, 0) and the point (5, 12).
(a)12
(b)13
(c)17
(d)7

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