Q1. Lindy has 4 triangles, all the same size. She uses them to make a star. Calculate the perimeter of the star. 2 marks.

Transcription

1 Q1. Lindy has 4 triangles, all the same size. She uses them to make a star. Calculate the perimeter of the star. Page 1 of 16

2 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 Q3. Triangle ABC is isosceles and has a perimeter of 20 centimetres. Sides AB and AC are each twice as long as BC. Page 2 of 16

3 Calculate the length of the side BC. Do not use a ruler. Q4. Here is a rectangle with six identical shaded squares inside it. The width of the rectangle is 7.2 centimetres. Calculate the length of the rectangle. Page 3 of 16

4 Q5. Here is an equilateral triangle inside a square. The perimeter of the triangle is 48 centimetres. What is the perimeter of the square? Page 4 of 16

5 Q6. This shape is made from 4 shaded squares. Calculate the perimeter of the shape. Q7. Kate has some rectangles. They each measure 16 centimetres by 50 centimetres. Not actual size Page 5 of 16

6 She makes this design with four of the rectangles. Work out the lengths x and y. x = cm 1 mark y = cm 1 mark Q8. The perimeter of a square is 72 centimetres. Not actual size The square is cut in half to make two identical rectangles. Page 6 of 16

7 What is the perimeter of one rectangle? Q9. Lara has some identical rectangles. They are 7 centimetres long and 2 centimetres wide. She uses five of her rectangles to make the large rectangle below. What is the perimeter of the large rectangle? cm 1 mark Page 7 of 16

8 What is the area of the large rectangle? cm 1 mark Q10. Not actual size The perimeter of this rectangle is 50 centimetres. Calculate the length of the rectangle. Page 8 of 16

9 Q11. Megan says, If two rectangles have the same perimeter, they must have the same area. Is she correct? Circle Yes or No. Yes / No Explain how you know. 1 mark Q12. 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 Page 9 of 16

10 Q13. Alfie has some rectangles. He makes this shape using three of the rectangles. What is the perimeter of Alfie s shape? Page 10 of 16

11 M1. Award TWO marks for a correct answer of 80 If the answer is incorrect, award ONE mark for evidence of an appropriate method, eg ( ) 4 Calculation need not be performed for the award of the mark. Up to 2 M2. 54 Accept figures written on the diagram, provided a total is given. [1] M3. Award TWO marks for the correct answer of 4cm. Calculation must be performed for the award of ONE mark. If the answer is incorrect award ONE mark for evidence of appropriate working, eg = = wrong answer up to 2 M4. Award TWO marks for the correct answer of 12 If the answer is incorrect, award ONE mark for evidence of appropriate method, eg Answer need not be obtained for the award of ONE mark. Accept for ONE mark 1.2 OR 120 as evidence of appropriate method. Up to 2 (U1) Page 11 of 16

12 M5. Award TWO marks for the correct answer of 64 If the answer is incorrect, award ONE mark for evidence of appropriate working, eg 48 3 = = wrong answer Calculation must be performed for the award of ONE mark. Up to 2 (U1) M6. Award TWO marks for the correct answer of 50 If the answer is incorrect, award ONE mark for evidence of appropriate working, eg 15 3 = = wrong answer Calculation must be performed for the award of ONE mark. Up to 2 (U1) M7. (a) 34 (b) M8. Award TWO marks for the correct answer of 54 If the answer is incorrect, award ONE mark for evidence of appropriate method, eg: 72 4 = = 9 (18 2) + (9 2) OR Answer need not be obtained for the award of ONE mark. Up to 2 (U1) Page 12 of 16

13 M9. (a) 34 (b) M10. Award TWO marks for the correct answer of 18 If the answer is incorrect, award ONE mark for evidence of appropriate working, eg 50 2 = = wrong answer OR 7 2 = = = wrong answer Working must be carried through to reach an answer for the award of ONE mark. Up to 2 M11. Indicates No and gives a correct explanation that includes indicating two different areas, eg: A rectangle with sides 6 cm by 2 cm has a perimeter of 16 cm and an area of 12 cm 2 but a rectangle with sides 5 cm and 3 cm has the same perimeter of 16 cm but it has an area of 15 cm 2 which is different so she is not correct A square with sides 3 cm by 3 cm and a rectangle with sides 4 cm by 2 cm have the same perimeter of 12 cm but they have different areas of 9 cm 2 and 8 cm 2 Accept minimally acceptable explanation, eg: 6 2 = 12, 5 3 = 15 Page 13 of 16

14 ! Ignore any incorrect units given in an otherwise correct explanation, eg: 6 2 for 6 cm 2! Indicates Yes, or no decision made, but explanation clearly correct Condone, provided the explanation is more than minimal Do not accept Incomplete or incorrect explanation, eg: 6 2, 5 3 Two rectangles, one with sides 6 cm by 5 cm and one with sides 8 cm by 3 cm have the same perimeter of 22 cm but they don t have the same area [1] M12. Completes all three rows correctly, eg: rectangle 3cm 3cm 15cm 15cm rhombus 9cm 9cm 9cm 9cm kite 10cm 10cm 8cm 8cm! Measures Accept Side lengths in each row may be given in any order Accept correct values with cm omitted eg, for the rectangle: or Completes two rows correctly 1 Page 14 of 16

15 M13. Award TWO marks for the correct answer of 54 If the answer is incorrect, award ONE mark for evidence of appropriate working, eg 8 4 = = = = wrong answer Working must be carried through to reach an answer for the award of ONE mark. Up to 2 Page 15 of 16

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