1. Here are six rectangles on a grid. B A D C E F Which two rectangles fit together, without overlapping, to make a square? ................. and ................. 1 mark Blackfield Primary School 1 2. Emily has 6 cubes. She sticks them together to make this model. She paints the sides of the model grey all the way round. She leaves the top and the bottom of the model white. How many of the cubes in the model have exactly two faces painted grey? 1 mark Blackfield Primary School 2 3. Ben makes this design on a grid. He rotates the grid to a new position. Shade in the missing parts of the design. 1 mark Blackfield Primary School 3 4. Draw two more circles on this grid to make a design that has a line of symmetry. 1 mark 5. Here are five patterns. For each pattern put a tick ( ) if it has a line of symmetry. Put a cross ( ) if it does not. 2 marks Blackfield Primary School 4 6. Here are some shapes on a grid. A B C D Write the letter of each shape that has one pair of parallel sides. ........................................................................... 1 mark 7. A cube has shaded shapes on three of its faces. Blackfield Primary School 5 Here is a net of the cube. Draw in the two missing shaded shapes. 1 mark Blackfield Primary School 6 8. Look at these shapes. B C A E D F Complete the sentences below. One has been done for you. ............... A ............... is a kite ................................. is not a quadrilateral ................................. has only 2 right angles ................................ has 2 acute angles 2 marks Blackfield Primary School 7 9. Here are four triangles on a square grid. A C D B Write the letters of the two isosceles triangles. ............. and ............... 1 mark Blackfield Primary School 8 10. There are four shapes on this diagram. The diagram is turned to the new position below. Draw the three missing shapes. 2 marks Blackfield Primary School 9 11. A, B, C and D are the vertices of a rectangle. A and B are shown on the grid. y 7 6 A 5 4 B 3 2 1 0 1 2 3 4 5 6 7 8 9 x D is the point ( 3, 4) Write the coordinates of point C. ( , ) 1 mark Blackfield Primary School 10 12. Here is a cube. The cube is shaded all the way round so that the top half is grey and the bottom half is white. Here is the net of the cube. Complete the shading 2 marks Blackfield Primary School 11 13. Here is part of a shape on a square grid. Draw two more lines to make a shape which has a line of symmetry. Use a ruler. 1 mark Blackfield Primary School 12 14. Here are four diagrams. On each one put a tick ( Put a cross ( ) if it is not. ) if it is a net of a cube. 2 marks 15. This pattern is made by turning a shape clockwise through 90° each time. Draw the two missing triangles on the last shape. 1 mark Blackfield Primary School 13 16. The diagram shows two identical squares. A is the point (10,10) What are the coordinates of B and C? B is ( , ) 1 mark C is ( , ) 1 mark Blackfield Primary School 14 17. Here are five shapes on a square grid. A B C D E Write the letters of the two shapes which have a line of symmetry. .............................. and .............................. 2 marks Blackfield Primary School 15 18. This is a drawing of a pentagonal prism. Tick ( ) the one shape that is a net for the pentagonal prism. 1 mark Blackfield Primary School 16 19. Here is a regular hexagon. Join three of the dots to make an equilateral triangle. Use a ruler. 1 mark Here is a regular octagon. Join three of the dots to make an isosceles triangle. Use a ruler. 1 mark Blackfield Primary School 17 20. These diagrams show the diagonals of three quadrilaterals. Write the names of the quadrilaterals in the boxes. 2 marks Blackfield Primary School 18 21. Here is the net of a cube with no top. The shaded square shows the bottom of the cube. Draw an extra square to make the net of a cube which does have a top. 1 mark 22. Draw two straight lines from point A to divide the shaded shape into a square and two triangles. A 1 mark Blackfield Primary School 19 23. Draw the reflection of this shape. 1 mark Blackfield Primary School 20 24. A, B and C are three corners of a rectangle. What are the coordinates of the fourth corner? ( , ) 1 mark 25. Here is an open top cube. Blackfield Primary School 21 Here is the net from which it is made. Put a tick ( ) on the square which is its base. 1 mark Blackfield Primary School 22 26. Here is a shaded square on a grid. Shade in 3 more squares so that the design is symmetrical in both mirror lines. 1 mark Blackfield Primary School 23 27. This scale shows the dates of floods and the height of the water in the floods. H e ig h t o f Ye a r o f w a te r f lo o d (m e tre s ) 3 1969 2 1955 1977 1 1948 2001 0 How high was the water in the 1955 flood? m 1 mark How much higher was the water in the 1969 flood than in the 1948 flood? m 1 mark Blackfield Primary School 24 28. Here is a grid of regular hexagons. The shaded shape has an area of 3 hexagons and a perimeter of 14cm. Draw another shape on the grid which has an area of 4 hexagons and a perimeter of 14cm. 1 cm 1 mark Blackfield Primary School 25 29. Here is a triangle drawn on a square grid. Draw a rectangle on the grid with the same area as the triangle. Use a ruler. 1 mark Blackfield Primary School 26 30. Here is a 1cm square grid. Some of the grid is shaded. What is the area that is shaded? cm2 1 mark Blackfield Primary School 27 31. Write these lengths in order, starting with the shortest. 3 .5 c m 1 2 m 25m m 20cm s h o rte s t 1 mark Blackfield Primary School 28 32. Max jumped 2.25 metres on his second try at the long jump. This was 75 centimetres longer than on his first try. How far in metres did he jump on his first try? m 1 mark Blackfield Primary School 29 33. Here are some shapes drawn on a grid. Write the letters of the two shapes that are equal in area. ............................... and ............................... 1 mark 34. Here are a pencil sharpener, a key and a rubber. A c tu a l s iz e 0 Blackfield Primary School 1 2 3 4 5 6 7 8 9 cm 30 What is the length of all three things together? Give your answer in millimetres. mm 1 mark What is the length of the key? Give your answer in millimetres. mm 1 mark 35. Kim has some rectangular tiles. Each one is 4 centimetres by 9 centimetres. 4cm 9cm She makes a design with them. h e ig h t w id t h Blackfield Primary School 31 Calculate the width and height of her design. width = cm height = cm 2 marks 36. On the grid, draw a rectangle which has the same area as this shaded pentagon. Use a ruler. 1 mark Blackfield Primary School 32 37. This cuboid is made from centimetre cubes. 3cm 2cm 4cm It is 4 centimetres by 3 centimetres by 2 centimetres. What is the volume of the cuboid? cm3 1 mark Another cuboid is made from centimere cubes. It has a volume of 30 cubic centimetres. What could the length, height and width be? length cm height cm width cm 1 mark Blackfield Primary School 33 38. Here are some shapes on a grid. Which shape has the longest perimeter? 1 mark Which shape has the largest area? 1 mark Blackfield Primary School 34 39. Here is a centimetre square grid. On the grid draw a shape which has an area of 10 square centimetres. 1 mark On the grid below draw a rectangle which has a perimeter of 10 centimetres. 1 mark Blackfield Primary School 35 40. This ring is made of regular pentagons, with sides of 5 centimetres. 5 cm What is the length of the outer edge of the ring? cm 1 mark Here is part of a new ring. It is made of squares and triangles. Blackfield Primary School 36 The pattern is continued to complete the ring. What is the total number of squares used in the complete ring? 1 mark 41. The area of the small shaded square is 1 square centimetre. What is the area of the larger shaded square? 1 cm ² cm2 1 mark Blackfield Primary School 37 On the grid below, draw a square with an area of 2 cm². 1 mark 42. Measure angle A accurately. Use a protractor (angle measurer). angle A = ° 1 mark Blackfield Primary School 38
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