SHAPE & ANGLES LEVEL 5

Transcription

1 SHAPE & ANGLES LEVEL 5 International School of Madrid Q1.The following quadrilaterals all have a perimeter of 36cm. Here is a table to show the length of each side. Complete the table. One quadrilateral is done for you. Side lengths square 9cm 9cm 9cm 9cm rectangle rhombus kite 3cm 9cm 10cm Q2. Liam has two rectangular tiles like this. He makes this L shape. What is the perimeter of Liam s L shape? cm Page 1

2 Q3. Here is a square grid. International School of Madrid Two sides of a kite are drawn on the grid. Complete the kite by drawing the two missing sides. Use a ruler. Q4. This is a centimetre grid. Draw 3 more lines to make a parallelogram with an area of 10cm 2 Use a ruler. Page 2

3 Q5. On the grid below, use a ruler to draw a pentagon that has three right angles. Q6. Here is a grid of dots. Point A and point B are joined by a straight line. Draw a line to join point A to another dot on the grid so that the two lines make a right angle. Use a ruler. Page 3

4 Q7. Here is a shape on a square grid. For each sentence, put a tick ( ) if it is true. Put a cross ( ) if it is not true. Angle C is an obtuse angle. Angle D is an acute angle. Line AD is parallel to line BC. Line AB is perpendicular to line AD. Page 4

5 Q8. Jamie draws a triangle. He says, Two of the three angles in my triangle are obtuse. Explain why Jamie cannot be correct. Q9. Here are four statements. For each statement put a tick ( ) if it is possible. Put a cross ( ) if it is impossible. A triangle can have 2 acute angles. A triangle can have 2 obtuse angles. A triangle can have 2 parallel sides. A triangle can have 2 perpendicular sides. Page 5

6 Q10. An isosceles triangle has a perimeter of 12cm. One of its sides is 5cm. What could the length of each of the other two sides be? Two different answers are possible. Give both answers. cm and cm cm and cm Q11. Triangle ABC is isosceles and has a perimeter of 20 centimetres. Sides AB and AC are each twice as long as BC. Calculate the length of the side BC. Do not use a ruler. Page 6

7 Q12. Here is a regular octagon with two vertices joined to make the line AB. Join two other vertices to draw one line that is parallel to the line AB. Here is the octagon again. Join two vertices to draw one line that is perpendicular to the line AB. Page 7

8 Q13. The diagram shows four lines drawn on a square grid. The lines are AB, BC, CD and DA. Which two of the lines are parallel? Circle them in the list below. AB BC CD DA Which two of the lines are perpendicular? Circle them in the list below. AB BC CD DA Page 8

9 Q14. Here is an equilateral triangle inside a rectangle. Calculate the value of angle x. Do not use a protractor (angle measurer). Page 9

10 Q15. Look at this diagram. Calculate the size of angle x and angle y. Do not use a protractor (angle measurer). x y Q16. Not to scale Calculate the size of angle y in this diagram. Do not use a protractor (angle measurer). y = Page 10

11 Q17.The diagram shows an isosceles triangle and a square on a straight line. Calculate angle α. Q18. PQ is a straight line. Not drawn accurately Calculate the size of angle x. Do not use a protractor (angle measurer). Page 11

12 Q19. Seb has some cubes with a cross on each face andsome cubes with a circle on each face. He sticks five cubes together to make this shape. How many crosses and how many circles are there on the outside of the shape? Number of crosses Number of circles Page 12

13 Q20. This cube has shapes drawn on three of its faces. The cube is turned to look like this. Draw and shade the missing shapes. Page 13

14 Q21. Cubes have been stuck together to make this block. The block has a pattern on two faces. The block is turned to the position below. Draw the missing parts of the pattern on it. Page 14

15 Q22. A cube has shaded shapes on three of its faces. Here is a net of the cube. Draw in the two missing shaded shapes. Page 15

16 Q22. A cube has shaded triangles on three of its faces. Here is the net of the cube. Draw in the two missing shaded triangles. Page 16