Time: Total marks available: Total marks achieved: ______
Questions 1-11 Non Calculator Questions 12-21 Calculator
Questions Q1. Here are some solid 3-D shapes.
(a) Write down the letter of the shape that is a sphere. .............................................................................................................................................. (1) (b) Write down the mathematical name of shape A. .............................................................................................................................................. (1) (c) How many faces does shape B have? .............................................................................................................................................. (1) (d) How many edges does shape D have? .............................................................................................................................................. (1) (Total for Question is 4 marks)
Q2. The diagram shows a swimming pool in the shape of a prism.
The swimming pool is empty. The swimming pool is filled with water at a constant rate of 50 litres per minute. (a) Work out how long it will take for the swimming pool to be completely full of water. Give your answer in hours. (1 m3 = 1000 litres)
........................................................... hours (5) Here are four graphs.
(b) Write down the letter of the graph that best shows how the depth of the water in the pool above the line MN changes with time as the pool is filled.
Q3. Here is a 5-sided polygon on a dotted centimetre grid.
(a) Write down the mathematical name for a 5-sided polygon.
........................................................... (1) (b) On the diagram, mark with arrows (») a pair of parallel lines. (1) (c) What type of angle is the angle marked x?
........................................................... (1) Here is the 5-sided polygon on a dotted centimetre grid. (d) Work out the area of the 5-sided polygon.
ABC is a straight line. BD = CD. Angle BDC = 50°. Angle ADB = 20°. Work out the size of the angle marked x. Give reasons for your answer.
(Total for Question is 4 marks)
Q5. Ali has some packets.
Each packet has dimensions 40 cm by 8 cm by 50 cm. Ali fills a container with these packets. The container is a cube of side 2 m. Ali fills the container completely with these packets. Work out the number of packets.
Q6. Jordan wants to make two dried fruit puddings. He weighs some dried fruit.
The dried fruit weighs 0.8 kg. (a) On the scale, show with an arrow (↑), 0.8 kg. (1) Jordan needs
kg of dried fruit to make one pudding.
(b) Work out how much more dried fruit Jordan needs to make two puddings. Give your answer in grams.
........................................................... grams (4) (Total for Question is 5 marks)
Q7. Amy has some toy bricks. Each brick is a cube of side 1 cm.
Amy uses some of the bricks to make this solid shape.
Amy adds some more of the bricks to this solid shape to make a cube of side 3 cm. (a) How many bricks does Amy add?
...................... (2) Naveed uses some of the bricks to make this solid shape.
(b) On the grid below, draw the view of the solid shape from the direction shown by the arrow.
(2)
(Total for Question is 4 marks)
Q8. Here is a right-angled triangle.
The shape below is made from 4 of these triangles.
(a) Work out the area of the shape.
. . . . . . . . . . . . . . . . . . . . . . cm2 (3) (b) Work out the perimeter of the shape.
.............................................................................................................................................. (3) (Total for Question is 6 marks)
Q9. The diagram shows a partly tiled wall.
Alfie is tiling the wall with black and grey tiles. He is going to use a total of 10 black tiles. Alfie is going to make a symmetrical pattern with the tiles. (a) (i) On the diagram, show where Alfie could put the 4 black tiles he has left. (ii) Work out the total number of grey tiles that Alfie uses to tile the wall. .............................................................................................................................................. (3) Alfie has 4 boxes of grey tiles and 1 box of black tiles. Each box of tiles costs £6.20 (b) Work out the total cost of the tiles. £...................... (2) (Total for Question is 5 marks)
Q10. *
ABC is parallel to EFGH. GB = GF Angle ABF = 65° Work out the size of the angle marked x. Give reasons for your answer.
(Total for Question is 4 marks)
Q11. Harry is going to plant some bean plants in his garden. The garden is in the shape of a rectangle 3 metres by 2 metres.
Harry will plant the first bean plant 20 cm from the edges of the garden, as shown in the diagram. Harry will plant the bean plants in rows. In each row, the space between plants will be 20 cm. The space between rows will be 20 cm. Work out the greatest number of bean plants Harry can plant in his garden.
........................................................... (Total for Question is 4 marks)
Q12. Here is a list of ingredients for making apple crumble for 2 people. Apple Crumble for 2 people 10 ounces apples 4 ounces flour 2 ounces sugar 1 ounce butter 1 tablespoon water 1 teaspoon baking powder
1 ounce = 28 grams 1 tablespoon = 15 ml 1 teaspoon = 5 ml Anne is going to make apple crumble for 5 people. (a) Work out how much flour she needs. Give your answer in grams.
.............................................................................................................................................. (3) David is making an apple crumble. He uses 140 grams of butter. (b) Work out how many people he is making apple crumble for.
.............................................................................................................................................. (2) (Total for Question is 5 marks)
Q13. A small photograph has a length of 4 cm and a width of 3 cm. Shez enlarges the small photograph to make a large photograph. The large photograph has a width of 15 cm.
Diagram NOT accurately drawn The two photographs are similar rectangles. Work out the length of the large photograph.
.............................................................................................................................................. (Total for Question is 3 marks)
Q14. The diagram shows a semicircle drawn inside a rectangle.
The semicircle has a diameter of 8 cm. The rectangle is 8 cm by 4 cm. Work out the area of the shaded region. Give your answer correct to 3 significant figures.
DAC, FCB and ABE are straight lines. Work out the size of the angle marked x. You must give reasons for your answer.
(Total for Question is 5 marks)
Q16. The diagram shows the positions of two villages, Beckhampton (B) and West Kennett (W).
Scale: 4 cm represents 1 km. (a) Work out the real distance, in km, of Beckhampton from West Kennett. .............................................................................................................................................. (2) The village, Avebury (A), is on a bearing of 038° from Beckhampton. On the diagram, A is 6 cm from B. (b) On the diagram, mark A with a cross (×). Label the cross A.
(2) (Total for Question is 4 marks)
Q17. The diagram shows a container used to store oil.
The container is in the shape of a cylinder of radius 40 cm. The height of the oil in the container is 90 cm. 65 litres of oil are taken from the container. 1 litre = 1000 cm3. Work out the new height of the oil in the container. Give your answer correct to one decimal place.
.........................cm
(Total for Question is 4 marks)
Q18. Lynn lives in Baston. She is going to go to the cinema in Peterborough. She will travel by bus between Baston and Peterborough. Here is part of the bus timetable from Bourne to Peterborough and from Peterborough to Bourne.
It takes Lynn 30 minutes to walk between the bus station in Peterborough and the cinema. The latest bus she can catch home leaves Peterborough at 21 45. Lynn wants to watch a film called Sherlock Holmes.
The film lasts for 2 hours 14 minutes.
Plan a schedule for Lynn's visit to the cinema.
Schedule
Time
Bus leaves Baston Bus arrives Peterborough Film starts Bus leaves Peterborough Bus arrives Baston
(Total for Question is 5 marks)
Q19. Josh has some land in the shape of a triangle as shown in the diagram.
Diagram NOT accurately drawn (a) Make an accurate scale drawing of this triangle.
(3) Josh is going to put a fence along each side of the land. (b) Work out the total length of the fence.
......................m (2) (Total for Question is 5 marks)
Q20. * Jasmine wants to record a film on a DVD. The film is 95 minutes long. Jasmine's DVD has 1 ½ hours of recording time left. Can Jasmine record all of the film on this DVD? You must show your working.
(Total for Question is 2 marks)
Q21. The diagram shows the distances, in kilometres, between some towns, by road.
Work out the shortest distance between Ambel and Ford by road.
.............................................................................................................................................. (Total for Question is 2 marks)
Mark Scheme Question
Working
(a) (b) (c) (d)
Q1.
Q2.
Q3.
Answer E Cylinder 68
Mark
11 11
Notes B1 cao B1 for cylinder or circular prism. Use profess ional judgement re spelling of cylinder B1 cao B1 cao
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Q19.
Working
Answer
Mark
Notes
e.g. 15 12 15 40 4:15pm 19 30 19 55
5
B1 for a correct departure time (one with an associated arrival time at least 30 mins before film start time) B1 for correct associated arrival time in Peterborough from a correct departure time from Bourne or Baston B1 for either 4:15pm or 5:15pm with one correct bus time) B1 for a correct departure time (at least 2hrs 44mins after film start time) B1 for correct associated arrival time in Baston
