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International School of Madrid SHAPE & ANGLES – LEVEL 5 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 rectangle 3cm rhombus 9cm kite 10cm 9cm 9cm 9cm 2 marks Q2. Liam has two rectangular tiles like this. He makes this L shape. What is the perimeter of Liam’s L shape? cm 1 mark Page 1 International School of Madrid Q3. Here is a square grid. Two sides of a kite are drawn on the grid. Complete the kite by drawing the two missing sides. Use a ruler. 1 mark Q4. This is a centimetre grid. Draw 3 more lines to make a parallelogram with an area of 10cm2 Use a ruler. 1 mark Page 2 International School of Madrid Q5. On the grid below, use a ruler to draw a pentagon that has three right angles. 1 mark 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. 1 mark Page 3 International School of Madrid 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. 2 marks Page 4 International School of Madrid Q8. Jamie draws a triangle. He says, ‘Two of the three angles in my triangle are obtuse’. Explain why Jamie cannot be correct. 1 mark 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. 2 marks Page 5 International School of Madrid 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 2 marks 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. 2 marks Page 6 International School of Madrid 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. 1 mark Here is the octagon again. Join two vertices to draw one line that is perpendicular to the line AB. 1 mark Page 7 International School of Madrid 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 1 mark Which two of the lines are perpendicular? Circle them in the list below. AB BC CD DA 1 mark Page 8 International School of Madrid Q14. Here is an equilateral triangle inside a rectangle. Calculate the value of angle x. Do not use a protractor (angle measurer). 2 marks Page 9 International School of Madrid Q15. Look at this diagram. Calculate the size of angle x and angle y. Do not use a protractor (angle measurer). x 1 mark y 1 mark Q16. Not to scale Calculate the size of angle y in this diagram. Do not use a protractor (angle measurer). y =° ° 1 mark Page 10 International School of Madrid Q17.The diagram shows an isosceles triangle and a square on a straight line. Calculate angle α. 2 marks Q18. PQ is a straight line. Not drawn accurately Calculate the size of angle x. Do not use a protractor (angle measurer). ° 1 mark Page 11 International School of Madrid 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 1 mark Number of circles 1 mark Page 12 International School of Madrid 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. 2 marks Page 13 International School of Madrid 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. 2 marks Page 14 International School of Madrid 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. 1 mark Page 15 International School of Madrid 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. 1 mark Page 16