Consolidation Worksheet

Transcription

1 Cambridge Essentials Mathematics Extension 7 GM1 Consolidation Worksheet GM1 Consolidation Worksheet 1 a Draw each diagram as accurately as you can. Use the measurements shown. b Measure the length of SQ in centimetres to the nearest 0.1 cm. c Measure the length of LM in millimetres to the nearest millimetre. 2 Work out the perimeter of each shape. a b c 3 Work out the area of each shape in question 2. 4 This shaded shape is drawn on a centimetre square grid. a What is the area of the shape? b Draw a rectangle that has the same area as this shaded shape. Write down the length and width of your rectangle. 5 Shona cut a rectangle, a square and a triangle from a rectangular piece of card. What area of card is left?

2 Cambridge Essentials Mathematics Extension 7 GM2 Consolidation Worksheet GM2 Consolidation Worksheet 1 a The triangle has 3 equal sides. Each of its angles is 60. Explain why. b In the other shape find the sizes of angles a, b and c. 2 Calculate the value of w, x and y. 3 Copy and complete the diagram so that the dotted line is a line of symmetry. 4 These shapes are drawn on a triangular dotty grid. a Which of the shapes have two pairs of parallel sides? b Which shapes have no parallel sides? c Name all the shapes. 5 Draw x- and y-axes labelled from 7 to +7. a Plot the points ( 2, 4), ( 1, 1) and ( 6, 2). b What fourth point could you plot to make a square? c What fourth point could you plot to make a parallelogram that is not a square.

3 Cambridge Essentials Mathematics Extension 7 GM3 Consolidation Worksheet 1 GM3 Consolidation Worksheet 1 1 Copy and complete. Use ml, litres, g or kg. a An orange could weigh about b A lorry could weigh about c An eggcup could contain about of water. d A pond could contain about of water. e The mass of a wedding ring could be about 5... f The amount of vinegar in a bottle could be about Copy and complete. a 30 mm = cm b 2 litres = ml c 0.5 kg = g d 12 m = cm e 3000 ml = litres f 3500 g = kg 3 Write these times using the 24-hour clock. a 3:45 a.m. b 10:52 a.m. c 5:20 p.m. d 1:07 p.m. 4 Write these times using the 12-hour clock. a 12:38 b 08:15 c 23:07 d 00:35 5 It takes Sian 27 minutes to walk from her house to the cinema. She is meeting her friend there at 17:10. What time does Sian need to leave home? 6 Tim is taking a bus from Dorking to Liverpool. He has to change buses in London. The first bus arrives in London at 11:23 a.m. and the second bus leaves London at 12:41 p.m. How long does Tim have to wait in London for his connection?

4 Cambridge Essentials Mathematics Extension 7 GM3 Consolidation Worksheet 1 7 Two of the angles of a triangle are 53 and 61. Explain how you can tell that this is a scalene triangle. 8 FGH is an isosceles triangle Angle FGH = 108. Two of the sides of the triangle have length 8.2 cm. a Show this information on a sketch. b Find the size of angle GFH. 9 Construct the triangle shown in the diagram. Measure RS. 10 Construct this triangle. Measure XZ and angle XZY. 11 Construct this triangle and measure each of its angles. What type of triangle is this? 12 Construct an equilateral triangle with sides of length 5 cm. Measure the height of the triangle and calculate its area. Original Material Cambridge University Press

5 Cambridge Essentials Mathematics Extension 7 GM3 Consolidation Worksheet 2 GM3 Consolidation Worksheet 2 1 Which of these diagrams could be used as a net for a triangular prism? Find the surface area of each prism. a b c 2 a Copy and complete this net for a prism on squared paper. b When completed, which points will be joined to A? A B C D E c What is the area of the constant cross-section of the prism? d What is the total surface area of the prism? H G F 3 Find the surface area of a cube of side 10 cm. 4 Find the length of each edge of a cube if its surface area is 294 cm 2. 5 Copy and complete these prisms. 6 This diagram shows two layers of three cubes on an isometric grid. Draw a diagram to show how it would look with the two shaded cubes removed.

6 Cambridge Essentials Mathematics Extension 7 GM4 Consolidation Worksheet GM4 Consolidation Worksheet 1 Copy the diagrams. Reflect each shape in the mirror line m. a m b m c m d m 2 Copy the diagram. a Draw the new position of triangle A after a 90 clockwise rotation about the point P. Label the image B. b Rotate triangle A through 180 with centre P. Label the image C. A P You can use tracing paper to help you perform rotations.

7 Cambridge Essentials Mathematics Extension 7 GM4 Consolidation Worksheet 3 Which of the shapes A, B C and D shows this shape rotated through 90 anticlockwise? 4 Copy the diagram. Translate shape J six squares to the left and eight squares down. Label your image shape K. Translating means sliding the shape without reflecting or rotating it. 5 Copy the axes. a Plot the points A (2, 1) B (5, 2) and C (3, 3). Join triangle ABC. b Translate triangle ABC two squares to the right and three squares up. Label your image triangle A B C. Original Material Cambridge University Press

8 Cambridge Essentials Mathematics Extension 7 GM5 Consolidation Worksheet GM5 Consolidation Worksheet 1 Make two copies of this shape. a On the first, shade three more squares to make a shape with rotation symmetry of order 4. b On the second, shade three more squares to make a shape with rotation symmetry of order 2. 2 Lisa cut out a square. She cut off the four corners. Here are two of the shapes she could have made. Draw and describe all the different shapes she could end up with. (Include all the shapes with different numbers of sides or different symmetry.) 3 The large cube shown is made up from 27 smaller cubes. Imagine that the large cube is dipped into yellow paint, which coats just the outside faces. an irregular octagon an irregular heptagon If the large cube were then broken up into smaller cubes again, how many small cubes would have 1 yellow face? How many would have no yellow faces? How many with 2 and how many with 3 yellow faces? Investigate for larger cubes. 4 Here are three identical right-angled triangles PQR. S is the midpoint of PR, and T is the midpoint of QR. P P P S S A B C Q R Q R Q T R Which shaded part has the greatest area? Original material Cambridge University Press