Section A Labelling Parts of Circles Grade G
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1 Name: Teacher Assessment Section A Labelling Parts of Grade G 1. Here is a list of words that are connected with circles. centre radius chord diameter circumference tangent Label the four boxes on this diagram, by choosing the correct word from the list. (Total 4 marks) 2. (a) A circle has a radius of 4 cm. Write down the length of the diameter. Answer... cm (1) (b) On the circle below (i) draw a diameter (ii) mark with a cross a point on the circumference (iii) draw a tangent (3)(Total 4 marks) St Paul s Catholic School 1
2 3. (a) Draw a diameter on the circle. (1) (b) Draw a chord on the circle. (1) (c) Draw a tangent to the circle. (1) Success: Target: St Paul s Catholic School 2
3 Teacher Assessment Section B Circumference of Grade D 1. The diameter of a circle is 15 cm. Calculate the circumference of the circle. 15 cm Not drawn accurately A circular flowerbed has a radius of 1.7 m. Answer... cm (Total 2 marks) Not drawn accurately 1.7 m Calculate the circumference of the flowerbed. State the units of your answer Answer... St Paul s Catholic School 3
4 3. The diagram shows a circle of radius 6 cm. 6 cm Not drawn accurately Work out the circumference of the circle. Give your answer in terms of and state the units of your answer. Answer A circular dish has a diameter of 9 cm. Calculate the circumference of the dish Answer... cm (Total 2 marks) 5. A circular pond has a diameter of 6 m. Calculate its circumference Answer... m (Total 2 marks) 6. A circular pond has a radius of 2.2 m. Calculate the circumference of the pond. Answer... m (Total 2 marks) St Paul s Catholic School 4
5 7. (a) A circular dinner plate has a radius of 13 cm. Calculate the circumference of the plate. Answer... cm (3) (b) A smaller circular plate has a diameter of 14 cm. Calculate the circumference of the plate. Answer... cm (2) (Total 5 marks) Success: Target: St Paul s Catholic School 5
6 Teacher Assessment Section C Area of Grade D 1. A circular flowerbed has a radius of 1.7 m. Not drawn accurately 1.7 m Calculate the area of the flowerbed. State the units of your answer Answer Calculate the area of a circle of radius 8 cm Answer A circular pond has a radius of 2.2 m. Calculate the area of the pond. Answer... m 2 (Total 2 marks) St Paul s Catholic School 6
7 4. A circular pond has a diameter of 2.8 m. Calculate the area of the pond. Answer (a) A circular dinner plate has a radius of 13 cm. Calculate the area of the plate. Answer... cm 2 (3) (b) A smaller circular plate has a diameter of 14 cm. Calculate the area of the plate. Answer... cm 2 (3) (Total 6 marks) St Paul s Catholic School 7
8 6. The diameter of a circle is 15 cm. Calculate the area of the circle. 15 cm Not drawn accurately Answer... cm 2 7. The diagram shows a circle of radius 6 cm. 6 cm Not drawn accurately Work out the area of the circle. Give your answer in terms of. Answer... Success: Target: St Paul s Catholic School 8
9 Teacher Assessment Section D Volume of Cylinders Grade C 1. The diagram shows a cylindrical can of beans. The height is 5.7 cm. The radius of the base is 3.7 cm. BEANS 5.7 cm Not to scale Calculate the volume of the can. 3.7 cm Answer... cm 3 (Total 5 marks) 2. A cylindrical can of soup has a diameter of 7.5 cm. It is 11.4 cm high. not to scale 11.4 cm Calculate the volume of the can. 7.5 cm Answer... (Total 4 marks) St Paul s Catholic School 9
10 3. The diagram shows a cylindrical tin of beans of diameter 8.5 cm and height 12.4 cm. Not drawn accurately BEANS 12.4 cm 8.5 cm Calculate the volume of the cylinder. State the units of your answer Answer... (Total 4 marks) 4. The diagram shows a cylindrical tin of soup of diameter 7.5 cm and height 11.6 cm. Not to scale 11.6 cm 7.5 cm Calculate the volume of the cylinder.... Answer... cm 3 St Paul s Catholic School 10
11 5. Jasmin has a pond in her garden. The surface of the pond is a semicircle of radius 1.4 m. 1.4 m (a) Calculate the area of a semicircle of radius 1.4 m. You must show your working. State the units of your answer. Answer (3) (b) The pond is 50 cm deep. The sides of the pond are vertical. Calculate the volume of the pond. Give your answer in cubic metres. Answer... m 3 (2) (Total 5 marks) Success: Target: St Paul s Catholic School 11
12 Teacher Assessment Section E Problem Solving Grade C 1. The radius of the wheel of Ellie s bicycle is 0.3 m. (a) Calculate the circumference of the wheel... Answer... m (2) (b) Ellie cycles 100 m. How many revolutions does the wheel make?.. Answer... (2) (Total 4 marks) 2. A semi-circular protractor has a diameter of 9 cm. Calculate the perimeter. 9 cm Not drawn accurately Answer... cm St Paul s Catholic School 12
13 Not d 3. The diagram shows a shape made from three identical semicircles. The width of the shape is 20 cm. Not drawn accurately h cm 20 cm (a) Work out the radius of one of the semicircles. Answer... cm (1) (b) Work out the height of the shape, marked h on the diagram. 4. The diagram shows a circle which touches all four sides of a square. The diameter of the circle is 11 cm. Answer... cm (1)(Total 2 marks) Calculate the total area of the shaded parts of the square. Give your Answer to a suitable degree of accuracy. 11 cm Answer... cm 2 (Total 4 marks) St Paul s Catholic School 13
14 5. A circular photo frame is shown below. The diameter of the photo is 10 cm and the outer diameter of the frame is 18 cm. 10 cm Not to scale Calculate the area of the frame. 18 cm Answer... (Total 5 marks) St Paul s Catholic School 14
15 6. The diagram shows a circle of radius 6 cm. (a) Work out the area of the circle. Give your answer in terms of. 6 cm Not drawn accurately... Answer... (3) (b) A badge is made out of 2 semicircles and a square, as shown. The radius of the semicircle is 6 cm. The square has side 5 cm. 6 cm Not to scale 5 cm h (i) Write down the area of the badge. Give your answer in terms of Answer... (1) (ii) Write down the height of the badge, marked h on the diagram. (iii)... Answer... cm Not to scale The badges are made from a strip of metal 2 metres long and 12 cm wide as shown. (1) 12 cm 2 metres How many badges can be made from the strip of metal? Show your working Answer... (3)(Total 8 marks) St Paul s Catholic School 15
16 7. A cylinder has a radius of 5 cm. 5 cm Not to scale (a) Calculate the circumference of a circular end of the cylinder. Answer...cm (2) (b) The cylinder has a volume of 250 cm 3. Calculate the height of the cylinder. Answer...cm (3) (Total 5 marks) St Paul s Catholic School 16
17 8. A cylinder has a radius of 6.5 cm and a volume of 375 cm 3. Calculate the height of the cylinder Answer...cm 9. A cylinder contains 17 litres of water. The radius of the cylinder is 15 cm. Calculate the height of the water in the cylinder Answer... cm (Total 4 marks) 10. A large carton contains 4 litres of orange juice. Cylindrical glasses of height 10 cm and radius 3 cm are to be filled from the carton. Orange Juice 4 litres 3 cm 10 cm How many glasses can be filled?you must show all your working Answer... glasses (Total 5 marks) St Paul s Catholic School 17
18 11. A tin of diameter 7 cm and height 12 cm has a label around it. The label is glued together using a 1 cm overlap. There is a 1 cm gap between the label and the top and the bottom of the tin. 1 cm 1 cm Not to scale 1 cm Find the length and the height of the label Answer Length =... cm Height =... cm (Total 4 marks) Success: Target: St Paul s Catholic School 18
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