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Instructions Answers ✎ This means write down your answer or show your working and your answer. Calculators You may use a calculator in this test. Formulae You might need to use these formulae. Trapezium Area = (a + b) ×h 2 Prism Volume = area of cross-section × length KS3/00/Ma/Tier from SATs-Papers.co.uk Sourced 4-6/P2 3 http://www.SATs-Papers.co.uk Shapes 1. The shaded rectangle has an area of 4cm 2 and a perimeter of 10cm. (a) Look at the cross-shape. Fill in the gaps below. The cross-shape has ✎ an area of . . . . . cm 2 and a perimeter of . . . . . cm. . . . . . . . . 2 marks (b) Draw a shape with an area of 6cm 2 ✎ . . . . 1 mark (c) What is the perimeter of your shape? ✎ KS3/00/Ma/Tier from SATs-Papers.co.uk Sourced 4-6/P2 4 . . . . . . . cm http://www.SATs-Papers.co.uk . . . . 1 mark (d) Look at the octagon. What is the area of the octagon? ✎ (e) . . . . . . . cm 2 . . . . 1 mark Explain how you know that the perimeter of the octagon is more than 8cm. ✎ . . . . 1 mark KS3/00/Ma/Tier from SATs-Papers.co.uk Sourced 4-6/P2 5 http://www.SATs-Papers.co.uk Tokens 2. A class has some gold tokens and some silver tokens. The tokens are all the same size. (a) The teacher puts 4 gold tokens and 1 silver token in a bag. Leah is going to take one token out of the bag without looking. She says: There are two colours, so it is just as likely that I will get a gold token as a silver token. ✎ Explain why Leah is wrong. . . . . 1 mark (b) How many more silver tokens should the teacher put in the bag to make it just as likely that Leah will get a gold token as a silver token? ✎....... . . . . 1 mark (c) Jack has a different bag with 8 tokens in it. It is more likely that Jack will take a gold token than a silver token from his bag. How many gold tokens might there be in Jack’s bag? ✎....... KS3/00/Ma/Tier from SATs-Papers.co.uk Sourced 4-6/P2 6 http://www.SATs-Papers.co.uk . . . . 1 mark Temperatures A book shows two ways to change °C to °F 3. exact rule multiply the °C temperature by 1.8 then add 32 (a) approximate rule double the °C temperature then add 30 Fill in the gaps. ✎ Using the exact rule, 25°C is . . . . . . . °F . . . . 1 mark Using the approximate rule, 25°C is . . . . . . . °F (b) . . . . 1 mark Fill in the gaps. ✎ Using the exact rule, 0°C is . . . . . . . °F Using the approximate rule, 0°C is . . . . . . . °F . . . . 1 mark (c) Show that at 10°C, the exact rule and the approximate rule give the same answers. ✎ . . . . . . . . 2 marks KS3/00/Ma/Tier from SATs-Papers.co.uk Sourced 4-6/P2 7 http://www.SATs-Papers.co.uk Coaches 4. (a) A club wants to take 3000 people on a journey to London. The club secretary says: We can go in coaches. Each coach can carry 52 people. How many coaches do they need for the journey? Show your working. ✎ . . . . . . . . . . . coaches (b) . . . . 2 marks Each coach costs £420 What is the total cost of the coaches? ✎ £ . . . . 1 mark (c) How much is each person’s share of the cost? ✎ £ . . . . 1 mark KS3/00/Ma/Tier from SATs-Papers.co.uk Sourced 4-6/P2 8 http://www.SATs-Papers.co.uk Cereal 5. In each box of cereal there is a free gift of a card. You cannot tell which card will be in a box. Each card is equally likely. There are four different cards: A, B, C or D (a) Zoe needs card A Her brother Paul needs cards C and D They buy one box of cereal. What is the probability that the card is one that Zoe needs? ✎ . . . . . . . . . . . 1 mark What is the probability that the card is one that Paul needs? ✎ (b) . . . . . . . . . . . 1 mark Then their mother opens the box. She tells them the card is not card A Now what is the probability the card is one that Zoe needs? ✎ . . . . . . . . . . . 1 mark What is the probability that the card is one that Paul needs? ✎ KS3/00/Ma/Tier from SATs-Papers.co.uk Sourced 4-6/P2 9 . . . . . . . . . . . 1 mark http://www.SATs-Papers.co.uk Drawing 6. I make a model with 6 cubes. The drawings show my model from different views. view B view A (a) I join one more cube to my model. The drawing from view A shows where I join the cube. Complete the drawing from view B ✎ view A view B . . . . 1 mark (b) Then I move the cube to a different position. Complete the drawing from view B ✎ view A KS3/00/Ma/Tier from SATs-Papers.co.uk Sourced 4-6/P2 view B 10 http://www.SATs-Papers.co.uk . . . . 1 mark (c) I add two cubes to make a different shape. Complete the drawing from view B ✎ view A (d) view B . . . . I start again with my original model of 6 cubes. 1 mark The drawing shows it from view A and from view B I start to draw it from a different view. Complete the drawing from view C ✎ view B view A view C . . . . 1 mark KS3/00/Ma/Tier from SATs-Papers.co.uk Sourced 4-6/P2 11 http://www.SATs-Papers.co.uk Huts 7. You can make ‘huts’ with matches. 1 hut needs 5 matches 2 huts need 9 matches 3 huts need 13 matches A rule to find how many matches you need is m = 4h + 1 m stands for the number of matches. h stands for the number of huts. (a) ✎ Use the rule to find how many matches you need to make 8 huts. Show your working. . . . . . . . . . . . matches (b) . . . . 2 marks I use 81 matches to make some huts. How many huts do I make? Show your working. ✎ . . . . . . . . . . . huts KS3/00/Ma/Tier from SATs-Papers.co.uk Sourced 4-6/P2 12 http://www.SATs-Papers.co.uk . . . . 2 marks (c) Andy makes different ‘huts’ with matches. 1 hut needs 6 matches 2 huts need 11 matches 3 huts need 16 matches Circle the rule below that shows how many matches he needs. Remember: m stands for the number of matches. h stands for the number of huts. ✎ m=h+5 m = 5h + 1 m = 4h + 2 m = 5h + 2 m = 4h + 3 m = h + 13 . . . . 1 mark KS3/00/Ma/Tier from SATs-Papers.co.uk Sourced 4-6/P2 13 http://www.SATs-Papers.co.uk Canteen 8. A school has a new canteen. A special person will be chosen to perform the opening ceremony. The names of all the pupils, all the teachers and all the canteen staff are put into a box. One name is taken out at random. A pupil says: There are only three choices. It could be a pupil, a teacher or one of the canteen staff. The probability of it being a pupil is 1 3 ✎ The pupil is wrong. Explain why. . . . . 1 mark KS3/00/Ma/Tier from SATs-Papers.co.uk Sourced 4-6/P2 14 http://www.SATs-Papers.co.uk Percentages B, Sign 9. Calculate ✎ 8% of £26.50 = ✎ 12 1 % 2 10. of £98 = £ . . . . £ . . . . 1 mark 1 mark How many kilometres are there in 5 miles? Complete the missing part of the sign. ✎ Footpath to Hightown 5 miles or . . . . . . . kilometres . . . . 1 mark KS3/00/Ma/Tier from SATs-Papers.co.uk Sourced 4-6/P2 15 http://www.SATs-Papers.co.uk Teachers 11. A newspaper predicts what the ages of secondary school teachers will be in six years’ time. They print this chart. (a) The chart shows 24% of male teachers will be aged 40 to 49 About what percentage of female teachers will be aged 40 to 49? ✎ (b) . . . . . . . % . . . . 1 mark About what percentage of female teachers will be aged 50+? ✎ KS3/00/Ma/Tier from SATs-Papers.co.uk Sourced 4-6/P2 16 . . . . . . . % . . . . 1 mark http://www.SATs-Papers.co.uk Graphic: Laura Sylvester/TES (c) The newspaper predicts there will be about 20 000 male teachers aged 40 to 49 Estimate the number of male teachers that will be aged 50+ ✎ (d) . . . . . . . . . . . 1 mark Assume the total number of male teachers will be about the same as the total number of female teachers. Use the chart to decide which statement is correct. Tick ( ) your answer. ✎ Generally, male teachers will tend to be younger than female teachers. Generally, female teachers will tend to be younger than male teachers. ✎ Explain how you used the chart to decide. . . . . 1 mark KS3/00/Ma/Tier from SATs-Papers.co.uk Sourced 4-6/P2 17 http://www.SATs-Papers.co.uk Lift 12. The graph shows my journey in a lift. I got in the lift at floor number 10 ✎ (a) The lift stopped at two different floors before I got to floor number 22 What floors were they? ✎ KS3/00/Ma/Tier from SATs-Papers.co.uk Sourced 4-6/P2 floors . . . . . . . and . . . . . . . 18 . . . . 1 mark http://www.SATs-Papers.co.uk (b) For how long was I in the lift while it was moving? ✎ . . . . . . . seconds . . . . 1 mark (c) After I got out of the lift at floor number 22, the lift went directly to the ground floor. It took 45 seconds. On the graph, show the journey of the lift from floor 22 to the ground floor. KS3/00/Ma/Tier from SATs-Papers.co.uk Sourced 4-6/P2 19 http://www.SATs-Papers.co.uk . . . . 1 mark Scores 13. (a) Paula played four games in a competition. In three games, Paula scored 8 points each time. In the other game she scored no points. ✎ What was Paula’s mean score over the four games? . . . . . . . points . . . . 1 mark (b) Jessie only played two games. Her mean score was 3 points. Her range was 4 points. ✎ What points did Jessie score in her two games? . . . . . . . and . . . . . . . . . . . 1 mark (c) Ali played three games. His mean score was also 3 points. His range was also 4 points. What points might Ali have scored in his three games? ✎ Show your working. . . . . . . . . . . . and . . . . . . . and . . . . . . . KS3/00/Ma/Tier from SATs-Papers.co.uk Sourced 4-6/P2 20 http://www.SATs-Papers.co.uk . . . . 2 marks Polygons 14. (a) Any quadrilateral can be split into 2 triangles. ✎ Explain how you know that the angles inside a quadrilateral add up to 360° . . . . 1 mark (b) What do the angles inside a pentagon add up to? ✎ . . . . . . . ° . . . . . . . . . . . ° . . . . 1 mark (c) What do the angles inside a heptagon (7-sided shape) add up to? ✎ Show your working. . . . . 2 marks KS3/00/Ma/Tier from SATs-Papers.co.uk Sourced 4-6/P2 21 http://www.SATs-Papers.co.uk Hedging 15. A garden centre sells plants for hedges. The table shows what they sold in one week. Plants 125 £ 212.50 Leylandii 650 £ 2437.50 Privet 35 £ 45.50 Hawthorn 18 £ 23.40 Laurel 5 £ 32.25 Total ✎ Takings Beech (a) Number of plants sold 833 £ 2751.15 What percentage of the total number of plants sold was Leylandii? Show your working. . . . . . . . . . . . % (b) ✎ . . . . 2 marks What percentage of the total takings was for Leylandii? Show your working. . . . . . . . . . . . % (c) ✎ . . . . 2 marks Which is the cheaper plant, Beech or Privet? Show working to explain how you know. . . . . 1 mark KS3/00/Ma/Tier from SATs-Papers.co.uk Sourced 4-6/P2 22 http://www.SATs-Papers.co.uk Area 16. The diagram shows a circle and a square. Not drawn accurately (a) The radius of the circle is 12mm. What is the area of the circle to the nearest mm 2 ? ✎ Show your working. . . . . . . . . . . . mm 2 (b) ✎ ✎ 2 marks The ratio of the area of the circle to the area of the square is 2 :1 What is the area of the square to the nearest mm 2 ? . . . . . . . mm 2 (c) . . . . . . . . 1 mark What is the side length of the square? Show your working. . . . . . . . . . . . mm KS3/00/Ma/Tier from SATs-Papers.co.uk Sourced 4-6/P2 23 http://www.SATs-Papers.co.uk . . . . 2 marks