6T Shape and Angles Homework - 2/3/18

Transcription

1 6T Shape and Angles Homework - 2/3/18 Name... Q1. The grids in this question are centimetre square grids. (a) What is the area of this shaded rectangle?... cm 2 What is the area of this shaded triangle?... cm 2 (c) What is the area of this shaded trapezium?... cm 2

2 Q2.(a) Work out the size of the angle marked y. Answer Show that angle BAC is 40 Do not measure the angle. Answer degrees Q3. The diagram shows three straight lines.

3 Work out the sizes of angles a, b and c Give reasons for your answers. a =... because b =... because c =... because Q4. The diagram shows a rectangle. Work out the size of angle a You must show your working. Q5.(a) On the grid below draw a triangle with no right angles. a =... On the grid below draw a quadrilateral with only one right angle.

4 Q6.(a) Look at the equilateral triangle. Isometric grid Each angle in an equilateral triangle is 60 Explain why. Now look at this shape. Work out the sizes of angles a, b and c Isometric grid a =... b =... c =...

5 Q7.Sam uses 8 cubes to make this shape. He adds more cubes to make this cuboid. How many more cubes does he add to make this cuboid?... Q8. The diagram shows a square and an equilateral triangle. Not drawn accurately Calculate the sizes of angles x, y and z x =... y =... z =... Q9. All the hexagons in this question are the same size. Each side of a hexagon is 1cm long. (a) I put two hexagons together to make this shape. What is the perimeter of the shape?... cm

6 I put three hexagons together to make different shapes. Which shape has the smaller perimeter? Tick ( ) the correct box. A B Both the same Explain how you know. Q10. The drawing shows how shapes A and B fit together to make a right-angled triangle. Work out the size of each of the angles in shape B. Write them in the correct place in shape B below. Q11. This shape has been made from two congruent isosceles triangles. What is the size of angle p Not drawn accurately p =...

7 Q12. Look at the triangle. (a) Measure accurately length c c =... cm Measure accurately angle k Q13. Look at the graph. k =... (a) Write down the coordinates of points A and C. A is (, ) C is (, ) Point D can be marked so that ABCD is a rectangle. Mark point D accurately on the graph. Q14. Alex is making a box to display a shell. The base of the box is shaded. He draws the net of the box like this: Alex wants to put a lid on the box.

8 He must add one more square to his net. (a) On each diagram below, show a different place to add the new square. Remember, the base of the box is shaded. Q15 Look at the shaded shapes drawn on an isometric grid. Write each of B, C and D in its correct place in the table below. No equal sides Exactly 2 equal sides More than 2 equal sides Has 3 sides A Has more than 3 sides

9 Q17. Look at the shaded shapes drawn on a square grid. (a) Nick says: Is he correct? The area of rectangle A is double the area of square B. Yes Explain your answer. No Alice says: The perimeter of rectangle A is double the perimeter of square B. Is she correct? Yes Explain your answer. No Q18. Look at the shaded shapes. (a) The area of shape A is 3cm 2 What is the area of shape B?... cm 2 On the grid, draw a triangle that has an area of 6cm 2

10 Q19. The diagram shows a rotating face. The face rotates clockwise through one right angle each time. Complete the last face. ) Q20. The diagram shows a regular hexagon. (a) Measure one side of the hexagon. Give your answer in centimetres. Answer cm Work out the perimeter of the hexagon. Answer Q21. Draw in and shade 3 triangles so that the dashed line is a line of symmetry (a mirror line).

11 Q22. A shape is cut out of a piece of card, leaving a hole. Which shape below will fit the hole exactly? Put a ring round the correct shape. Q23. Look at the shape drawn on a square grid. (a) What is the name of the shape? Put a ring round the correct name below. hexagon quadrilateral octagon pentagon parallelogram One of the angles inside the shape is a right angle. Mark the right angle on the shape above.

12 Q24. Stacey has 6 square tiles that are all the same size. She joins the 6 tiles to make this rectangle. (a) On the grid below, draw a different rectangle she could make using the 6 tiles. Stacey wants to make a square using more than her 6 tiles. How many more tiles does she need?... more Q25. (a) This diagram has one line of symmetry. Draw the line of symmetry on the diagram below. Here is the same diagram after a quarter-turn clockwise.

13 Complete the diagram below to show it after another quarter-turn clockwise. Q26. Look at the diagram. (a) The point K is halfway between points B and C What are the coordinates of point K? Shape ABCD is a rectangle. What are the coordinates of point D? (...,...) (...,...) Q27. (a) Look at these shapes. Explain why the shapes are hexagons. Isometric grid

14 Q28. Windmill patterns look the same when you turn the grid through one or more right angles. (a) Shade 3 squares to complete the windmill pattern on the square grid below left. Shade 6 squares to complete the windmill pattern on the square grid above right.. Q29. The diagram shows some shapes on a 10 by 6 square grid. (a) Which two shapes have the same area as shape A?... Which two shapes have the same perimeter as shape A?... (c) How many of shape C would you need to cover a 10 by 6 square grid?...

15 Q30. Look at triangle ABC. ABD is an isosceles triangle where AB = AD. Work out the sizes of angles x, y and z Give reasons for your answers. Not drawn accurately x =... because y =... because z =... because Homework due by Wednesday 7 th March Please see me before this if you have any problems