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Instructions Answers ✎ This means write down your answer or show your working and your answer. Calculators You must not 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 5-7/P1 3 http://www.SATs-Papers.co.uk Angles 1. Look at these angles. angle P (a) angle Q angle R angle S angle T One of the angles measures 120° Write its letter. ✎ (b) ✎ . . . . . . . . . . . 1 mark Complete the drawing below to show an angle of 157° Label the angle 157° . . . . . . . . 2 marks KS3/00/Ma/Tier from SATs-Papers.co.uk Sourced 5-7/P1 4 http://www.SATs-Papers.co.uk (c) 15 pupils measured an angle. Here are their results. Angle measured as Number of pupils 45° 5 134° 3 135° 4 136° 3 Use the results to decide what the angle is most likely to measure. ✎ The angle is ✎ . . . . . . . ° How did you decide? . . . . 1 mark KS3/00/Ma/Tier from SATs-Papers.co.uk Sourced 5-7/P1 5 http://www.SATs-Papers.co.uk Prism 2. The sketch shows the net of a triangular prism. ✎ The net is folded up and glued to make the prism. (a) (b) (c) Which edge is tab 1 glued to? On the diagram, label this edge A . . . . Which edge is tab 2 glued to? Label this edge B . . . . 1 mark 1 mark The corner marked • meets two other corners. Label these two other corners • KS3/00/Ma/Tier from SATs-Papers.co.uk Sourced 5-7/P1 6 . . . . 1 mark http://www.SATs-Papers.co.uk Race 3. Maria and Kay ran a 1500 metres race. The distance-time graph shows the race. Use the graph to help you fill in the gaps in this report of the race. ✎ Just after the start of the race, Maria was in the lead. At 600 metres, Maria and Kay were level. Then Kay was in the lead for . . . . . . . . . . . minutes. At . . . . . . . . . . . metres, Maria and Kay were level again. . . . . . . . . . . . . . . . . . . . won the race. 2 marks Her total time was . . . . . . . . . . . minutes. . . . . . . . . . . . finished . . . . . . . . . . . minutes later. . . . . 1 mark KS3/00/Ma/Tier from SATs-Papers.co.uk Sourced 5-7/P1 7 http://www.SATs-Papers.co.uk Percentages A 4. The table shows some percentages of amounts of money. £10 £30 £45 5% 50p £1.50 £2.25 10% £1 £3 £4.50 You can use the table to help you work out the missing numbers. ✎ 15% of £30 = £ . . . . £6.75 = 15% of £ . . . . 1 mark 1 mark £3.50 = . . . . . % of £10 25p = KS3/00/Ma/Tier from SATs-Papers.co.uk Sourced 5-7/P1 5% of . . . . 1 mark £ . . . . 1 mark 8 http://www.SATs-Papers.co.uk Museum 5. (a) 240 people paid the entrance fee on Monday. How much money is that altogether? ✎ Show your working. . . . . £ . . . . 2 marks (b) The museum took £600 in entrance fees on Friday. How many people paid to visit the museum on Friday? ✎ Show your working. . . . . . . . . . . . people KS3/00/Ma/Tier from SATs-Papers.co.uk Sourced 5-7/P1 9 http://www.SATs-Papers.co.uk . . . . 2 marks Simplify 6. Write each expression in its simplest form. 7 + 2t + 3t ✎ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 mark b + 7 + 2b + 10 ✎ 1 mark (3d + 5) + (d – 2) ✎ 1 mark 3m – (– m) ✎ KS3/00/Ma/Tier from SATs-Papers.co.uk Sourced 5-7/P1 10 http://www.SATs-Papers.co.uk 1 mark Puzzle 7. (a) Two numbers multiply together to make –15 They add together to make 2 What are the two numbers? ✎....... (b) and . . . . . . . . . . . 1 mark Two numbers multiply together to make –15, but add together to make –2 What are the two numbers? ✎....... (c) and . . . . . . . . . . . 1 mark Two numbers multiply together to make 8, but add together to make – 6 What are the two numbers? ✎....... (d) and . . . . . . . . . . . 1 mark The square of 5 is 25 The square of another number is also 25 What is that other number? ✎....... . . . . 1 mark KS3/00/Ma/Tier from SATs-Papers.co.uk Sourced 5-7/P1 11 http://www.SATs-Papers.co.uk Coloured Cubes 8. There are some cubes in a bag. The cubes are either red (R) or black (B). The teacher says: If you take a cube at random out of the bag, the probability that it will be red is 1 5 (a) What is the probability that the cube will be black? ✎ (b) . . . . . . . . . . . 1 mark A pupil takes one cube out of the bag. It is red. What is the smallest number of black cubes there could be in the bag? ✎ (c) . . . . . . . . . . . 1 mark Then the pupil takes another cube out of the bag. It is also red. From this new information, what is the smallest number of black cubes there could be in the bag? ✎ KS3/00/Ma/Tier from SATs-Papers.co.uk Sourced 5-7/P1 12 . . . . . . . http://www.SATs-Papers.co.uk . . . . 1 mark (d) A different bag has blue (B), green (G) and yellow (Y) cubes in it. There is at least one of each of the three colours. The teacher says: If you take a cube at random out of the bag, the probability that it will be green is 3 5 There are 20 cubes in the bag. What is the greatest number of yellow cubes there could be in the bag? ✎ Show your working. . . . . . . . . . . . KS3/00/Ma/Tier from SATs-Papers.co.uk Sourced 5-7/P1 13 http://www.SATs-Papers.co.uk . . . . 2 marks Perimeters 9. Jenny and Alan each have a rectangle made out of paper. One side is 10cm. The other side is n cm. (a) They write expressions for the perimeter of the rectangle. Jenny writes 2n + 20 Alan writes 2(n + 10) Tick () the true statement below. ✎ Jenny is correct and Alan is wrong. Jenny is wrong and Alan is correct. Both Jenny and Alan are correct. . . . . 1 mark Both Jenny and Alan are wrong. (b) Alan cuts his rectangle, then puts the two halves side by side. Alan’s new rectangle What is the perimeter of Alan’s new rectangle? ✎ Write your expression as simply as possible. . . . . . . . . 2 marks KS3/00/Ma/Tier from SATs-Papers.co.uk Sourced 5-7/P1 14 http://www.SATs-Papers.co.uk (c) Jenny cuts her rectangle a different way, and puts one half below the other. Jenny’s new rectangle What is the perimeter of Jenny’s new rectangle? ✎ Write your expression as simply as possible. . . . . . . . . 2 marks (d) What value of n would make the perimeter of Jenny’s new rectangle the same value as the perimeter of Alan’s new rectangle? ✎ . . . . 1 mark KS3/00/Ma/Tier from SATs-Papers.co.uk Sourced 5-7/P1 15 http://www.SATs-Papers.co.uk Equations 10. These straight line graphs all pass through the point ( 10, 10 ) (a) Fill in the gaps to show which line has which equation. ✎ line . . . . . . . has equation x = 10 line . . . . . . . has equation y = 10 line . . . . . . . has equation y = x line . . . . . . . has equation y = 3 x – 5 2 . . . . line . . . . . . . has equation y = 1 x + 5 2 KS3/00/Ma/Tier from SATs-Papers.co.uk Sourced 5-7/P1 16 http://www.SATs-Papers.co.uk . . . . 2 marks (b) Does the line that has the equation y = 2 x – 5 pass through the point ( 10, 10 )? ✎ Explain how you know. . . . . 1 mark KS3/00/Ma/Tier from SATs-Papers.co.uk Sourced 5-7/P1 17 http://www.SATs-Papers.co.uk Rounding 11. (a) Circle the best estimate of the answer to 72.34 d 8.91 ✎ 6 7 8 9 10 11 . . . . 120 160 . . . . 1 mark (b) Circle the best estimate of the answer to 32.7 × 0.48 ✎ 1.2 1.6 (c) Estimate the answer to ✎ 12 16 1 mark 8.62 + 22.1 5.23 Give your answer to 1 significant figure. . . . . . . . (d) Estimate the answer to ✎ 1 mark 28.6 × 24.4 5.67 × 4.02 . . . . . . . KS3/00/Ma/Tier from SATs-Papers.co.uk Sourced 5-7/P1 . . . . 18 http://www.SATs-Papers.co.uk . . . . 1 mark Mast 12. The plan shows the position of three towns, each marked with a The scale of the plan is 1 cm to 10 km. ✎ Ashby Beaton Ceewater The towns need a new radio mast. The new radio mast must be: nearer to Ashby than Ceewater, and less than 45 km from Beaton. Show on the plan the region where the new radio mast can be placed. Leave in your construction lines. . . . . . . . . . . . . 3 marks KS3/00/Ma/Tier from SATs-Papers.co.uk Sourced 5-7/P1 19 http://www.SATs-Papers.co.uk Factorising 13.(a) Two of the expressions below are equivalent. Circle them. ✎ 5(2y + 4) 5(2y + 20) 10( y + 9) (b) 2(5y + 10) 12( y + 2) ✎ (d) ✎ ) through it. 3(4y + 8) 12( y + 24 ) (c) . . . . 1 mark One of the expressions below is not a correct factorisation of 12 y + 24 Which one is it? Put a cross ( ✎ 7( y + 9) 2( 6y + 12 ) 6( 2 y + 4) . . . . 1 mark Factorise this expression. 7y + 14 . . . . . . . . . . . . . . . . . . 1 mark Factorise this expression as fully as possible. 6y3 – 2y 2 . . . . . . . . . . . . . . . . . . . . . . 2 marks KS3/00/Ma/Tier from SATs-Papers.co.uk Sourced 5-7/P1 20 http://www.SATs-Papers.co.uk Operations 14. Look at these number cards. 0.2 (a) 2 10 0.1 0.05 1 Choose two of the cards to give the lowest possible answer. Fill in the cards below and work out the answer. ✎ × = . . . . . . . . . . . . . . . 2 marks (b) Choose two of the cards to give the answer 100 ✎ = d KS3/00/Ma/Tier from SATs-Papers.co.uk Sourced 5-7/P1 21 100 http://www.SATs-Papers.co.uk . . . . 1 mark Expressions 15. (a) Look at these cards. You can see two of the expressions. The third is hidden. 3 x – 10 3x The mean value of the expressions is 3 x What is the hidden expression? ✎ . . . . 1 mark (b) Write a set of three expressions that has a mean value of 4 x ✎ . . . . 1 mark (c) What is the mean value of these three expressions? 2x + 3 5x – 9 5 x + 12 Show your working. Write your expression as simply as possible. ✎ . . . . . . . . 2 marks KS3/00/Ma/Tier from SATs-Papers.co.uk Sourced 5-7/P1 22 http://www.SATs-Papers.co.uk Values 16. Look at these expressions. n–2 (a) ✎ 2n n2 n 2 2 n Which expression gives the greatest value when n is between 1 and 2? . . . . 1 mark (b) ✎ Which expression gives the greatest value when n is between 0 and 1? . . . . 1 mark (c) ✎ Which expression gives the greatest value when n is negative? . . . . 1 mark KS3/00/Ma/Tier from SATs-Papers.co.uk Sourced 5-7/P1 23 http://www.SATs-Papers.co.uk