Perimeter minutes. 27 marks. Page 1 of 19
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1 Perimeter minutes 27 marks Page of 9
2 Q. Here is a centimetre square grid. On the grid draw a shape which has an area of 0 square centimetres. mark On the grid below draw a rectangle which has a perimeter of 0 centimetres. mark Q2. Here are some shapes on a grid. Which shape has the longest perimeter? mark Page 2 of 9
3 Which shape has the largest area? mark Q3. Lindy has 4 triangles, all the same size. She uses them to make a star. Calculate the perimeter of the star. 2 marks Page 3 of 9
4 Q4. The perimeter of a square is 72 centimetres. Not actual size The square is cut in half to make two identical rectangles. What is the perimeter of one rectangle? 2 marks Q5. Lara has some identical rectangles. They are 7 centimetres long and 2 centimetres wide. Page 4 of 9
5 She uses five of her rectangles to make the large rectangle below. What is the perimeter of the large rectangle? cm mark What is the area of the large rectangle? cm mark Q6. Not actual size The perimeter of this rectangle is 50 centimetres. Page 5 of 9
6 Calculate the length of the rectangle. 2 marks Q7. Here are some shapes on a cm square grid. What is the perimeter of shape A? cm mark Page 6 of 9
7 Write the letter of the shape that has the smallest area.... mark Q8. Here are five shapes on a regular grid. Which shape has the longest perimeter?... mark Which shape has only one line of symmetry?... mark Q9. Alfie has some rectangles. Page 7 of 9
8 He makes this shape using three of the rectangles. What is the perimeter of Alfie s shape? 2 marks Q0. 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 0cm 2 marks Page 8 of 9
9 Q. 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. mark Q2. The grid below is made of right-angled triangles like this: Shade triangles on the grid to make a quadrilateral. Page 9 of 9
10 Your quadrilateral must have an area of 24 cm 2 and a perimeter of 26 cm. 2 marks Page 0 of 9
11 Q3. A design is made using three circles on a centimetre grid. Find the perimeter of the shaded part of the design, correct to decimal place. 2 marks Page of 9
12 On this grid, draw the shaded part of the design enlarged by a scale factor of 2. You MUST use a pair of compasses. 2 marks Page 2 of 9
13 M. (a) Any shape with an area of 0 cm 2, eg The shape need not be aligned with the grid. Accept slight inaccuracies in drawing provided intention is clear. (b) Any rectangle with a perimeter of 0 cm, eg The rectangle need not be aligned with the grid. Accept slight inaccuracies in drawing provided the intention is clear. M2. (a) E (b) B M3. 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 Page 3 of 9
14 M4. 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 (8 2) + (9 2) OR Answer need not be obtained for the award of ONE mark. Up to 2 (U) M5. (a) 34 (b) 70 M6. Award TWO marks for the correct answer of 8 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 Page 4 of 9
15 M7. (a) 4 (b) C Accept 5 M8. (a) C Accept 8 (b) D M9. 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 M0. Completes all three rows correctly, eg: rectangle 3cm 3cm 5cm 5cm rhombus 9cm 9cm 9cm 9cm kite 0cm 0cm 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 Page 5 of 9
16 M. 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 6 cm and an area of 2 cm 2 but a rectangle with sides 5 cm and 3 cm has the same perimeter of 6 cm but it has an area of 5 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 2 cm but they have different areas of 9 cm 2 and 8 cm 2 Accept minimally acceptable explanation, eg: 6 2 = 2, 5 3 = 5! 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 [] Page 6 of 9
17 M2. Shows a correct quadrilateral, eg OR 2 U or Shows a quadrilateral with an area of 24 cm 2 but not a perimeter of 26 cm, eg OR! Shading omitted Accept provided the quadrilateral drawn is unambiguous! Lines not ruled or accurate Accept slight inaccuracies in drawing provided the pupil's intention is clear Page 7 of 9
18 M3. (a) Award TWO marks for the correct answer of 9.4cm. If answer is incorrect, award ONE mark for evidence of an appropriate method, eg: 2 π.5 OR 3 π Units may be omitted. Award ONE mark for unrounded answer, eg 9.42 Up to 2 (b) Award TWO marks for drawing as below, anywhere on grid, to accuracy of ± mm at any point. Centre of arcs may not be apparent. If drawing is inaccurate but shows evidence of the correct location of the centres of ALL three arcs in relation to each other, award ONE mark. Shading is unnecessary. Award TWO marks if 3 complete circles are accurately drawn and correctly located. Up to 2 [4] Page 8 of 9
19 Page 9 of 9
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GLOSSARY Appendix A Appendix A: Glossary Acute Angle An angle that measures less than 90. Acute Triangle Alternate Angles A triangle that has three acute angles. Angles that are between parallel lines,
The Triangle and its Properties
THE TRINGLE ND ITS PROPERTIES 113 The Triangle and its Properties Chapter 6 6.1 INTRODUCTION triangle, you have seen, is a simple closed curve made of three line segments. It has three vertices, three
You must have: Ruler graduated in centimetres and millimetres, protractor, compasses, pen, HB pencil, eraser, calculator. Tracing paper may be used.
Write your name here Surname Other names Pearson Edexcel International GCSE Mathematics A Paper 1FR Centre Number Wednesday 14 May 2014 Morning Time: 2 hours Candidate Number Foundation Tier Paper Reference
Student Outcomes. Lesson Notes. Classwork. Exercises 1 3 (4 minutes)
Student Outcomes Students give an informal derivation of the relationship between the circumference and area of a circle. Students know the formula for the area of a circle and use it to solve problems.