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Transcript
Mathsercise Revision Practice for Target C grade GCSE Geometry Mathsercise-C Angles Work out the size of angles x and y. Give reasons for your answers 125 o x y Angles 1 Work out the size of angles x and y. Give reasons for your answers 62 o 40 o x y Angles 2 Find the angle marked g. Give a reason for your answers 28 o 95 o g Angles 3 Find angles x and y. Give reasons for your answers 68 o 120 o y x Angles 4 Mathsercise-C Area & Volume Work out the area of this trapezium 13cm 7cm 10cm Area & Volume 1 Work out the volume of this cuboid 10cm 6cm 15cm Area & Volume 2 A cuboid has: Height = 3m Length = 9m Width = 5m What is the volume? Area & Volume 3 A cuboid has: Volume = 160cm3 Length = 8cm Height = 4cm Work out the width of the cuboid Area & Volume 4 Mathsercise-C Circles 1 The radius of a circle is 6.4cm Work out the area of the circle (to 3sf) 6.4cm Circles 1 The radius of a circle is 5.2m Work out the circumference of the circle (to 2 d.p) 5.2m Circles 2 AT and BT are tangents to a circle centre O If angle AOB is 140o, then name any right angles, and find the size of angle ATB A O T B 3 AS and AT are tangents to a circle centre O Calculate the size of angle SAO if angle SOA is equal to 48o S A O Circles T Circles 4 Mathsercise-C Circles 2 If AB is the diameter of the circle, give a reason why angle ACB is a right angle A B C Circle Geometry 1 Given angle BCD equals 115o Work out the size of angle BAD and give a reason for your answer C B 115o D A Circle Geometry 2 A, B, C and D are points on a circle. Work out angle ACB and give a reason for your answer B A 54o D C Circle Geometry 3 In the circle, centre O, the angle BOD = 96o Work out angles BAD and BCD A O 96o B C D Circle Geometry 4 Mathsercise-C Construction Use a ruler and a compass to construct an equilateral triangle of side length 3cm Construction 1 Construct a triangle of sides 3cm, 4cm, and 5cm Construction 2 Use a ruler and compasses to construct a perpendicular to the line AB at point P A Px B Construction 3 Use a ruler and compasses to construct a right angle Construction 4 Mathsercise-C Elevations & Enlargements On the grid enlarge the shape with a scale factor of 2 Elevations & Transformations 1 On the grid enlarge the shape with a scale factor of ½ Elevations & Transformations 2 Given these elevations of a 3D shape, sketch the shape below Side Elevation Plan Front Elevation Elevations & Transformations 3 The diagram shows a solid object Draw a plan, front and side elevation for this object Elevations & Transformations 4 Mathsercise-C Polygons 1 What do the external angles total? What is the value of x? x x x x x Polygons 1 The exterior angle of a regular polygon is 45o . How many sides has the polygon? Polygons 2 Find the value of x 107 o 34 o 48 63 o o x 47 o Polygons 3 Find the size of the interior angle of this regular octagon Polygons 4 Mathsercise-C Polygons 2 Work out the exterior angle of an hexagon ? Polygons 2 1 Work out angles x and y and give reasons yo 108o xo Polygons 2 2 ABCD is a quadrilateral. Work out the size of the largest angle A 119o D 73o 3yo B yo C Polygons 2 3 Work out the size of the missing angles in this pentagon (x + 47)o 87o xo 106o (2x + 20)o Polygons 2 4 Mathsercise-C Pythagoras Use Pythagoras to work out the length of AB 9m B C 5m A Pythagoras 1 Work out the length of AC B 8.3m 2.5m A C Pythagoras 2 Find the length of AC in this right angled triangle A 5cm C B 12cm C Pythagoras 3 Find the length of AC in this right angled triangle A 10.5cm B 17.5cm C Pythagoras 4 Mathsercise-C Surface Area & Volume The area of the cross section of the triangular prism is 20cm2. The length is 12cm Work out the volume of the prism m 12c 20cm2 Surface Area & Volume 1 7c m cm 10 9cm Work out the surface area of this triangular prism 4cm Surface Area & Volume 2 The cylinder has a height of 10cm and a radius of 5cm Calculate the volume of the cylinder 10cm 5cm 3 Calculate surface area correct to 3 sf 3cm 10cm Surface Area & Volume Surface Area & Volume 4 Mathsercise-C Scale Drawing Here is a sketch of a triangle. D Draw it accurately 5cm 75o 7cm Scale Drawing 1 Here is a sketch of a quadrilateral. Draw it accurately 4cm 140o 5cm 75o 6cm Scale Drawing 2 Construct the triangle AB where – AB = 5.3cm, BC = 6cm, angle ABC = 112o Scale Drawing 3 Measure the bearings of A from B, and B from A x A x B Scale Drawing 4 Mathsercise-C Transform 1 Draw a reflection of Triangle A in the given line A Transform 1 Reflect triangle B in the line wz y w B x z Transform 2 a) Draw a reflection of C in the y axis b) Rotate C 90o clockwise about the origin y C x Transform 3 Rotate triangle D 90o anticlockwise about the point A. D A . Transform 4 Mathsercise-C Transform 2 The big triangle is a scale factor enlargement of the smaller triangle Find x and y 3cm y 15cm x 4cm 12cm Transformations 1 The big trapezium is a scale factor 4 enlargement of the smaller trapezium Find x, y and z 60o z y 5cm x 8cm 4cm 16cm Transformations 2 Enlarge this L by scale factor 2 about point A A . Transformations 3 Enlarge this shape by scale factor ½ about point X . x Transformations 4 Mathsercise-C Trigonometry Calculate the length AB A B 24o 7.4cm C 1 Trigonometry Find angle BAC A 2.4m 3.8m B C Trigonometry 2 Find the size of the angle marked x and give your answer to 1 dp 10cm 12cm x Trigonometry 3 Find the length of AB and give your answer to 3sf A B 70o C 5.2cm Trigonometry 4 Mathsercise-C Units Change Change 4m2 to cm2 (Be Careful!) Units change 1 Change 45cm2 to mm2 Units change 2 In these expressions a, b and c represent lengths. The numbers have no dimension Two of the expressions represent areas. Tick under the expressions that show area. ab + bc (a + b)c 3a2+ 2b2 ac + b 2a 3ab Units change 3 In these expressions a, b and c represent lengths. Π and 2 have no dimension Three of the expressions represent areas. Tick under the expressions that show area. ab + bc πa3 πa2+ b2 2ab 2a Π(3ab Units change 4