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Year 3 Optional SAT mark scheme paper B 1. 39 1 [1] 2. Numbers written in order as shown: 106 140 146 160 smallest 1 164 largest Do not accept reverse order. [1] 3. Kylie 1 Accept any reasonable spelling, provided the intention is clear. 4. Two shapes ticked as shown: 1 Both shapes must be correct for the award of the mark. Accept any other clear way of indicating the correct two shapes, such as crosses or circling. [1] Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 5. Completes the sequence as shown: –7 100 –7 93 –7 86 –7 79 1 –7 72 65 Both numbers must be correct for the award of the mark. [1] 6. Number circled as shown: 75 100 125 1 150 175 Accept any other clear way of indicating the correct estimate, such as ticking the number. [1] 7. 6½cm OR 6.5cm OR equivalent. Accept equivalent measurements, eg 65mm Accept an answer in the range 6.3cm–6.7cm 1 [1] 8. Table completed as shown: shape 1 number of right angles .........3......... .........2......... Both numbers must be correct for the award of the mark. [1] 9. 80 1 [1] 10. Two letters ticked as shown: D M E S 1 N Both letters must be correct for the award of the mark. Do not award the mark if either S or N are ticked. Accept any other clear way of indicating the correct letters, such as ‘Yes’ or circling. [1] Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 11. Award TWO marks for all six different two-digit numbers given in any order. 25 27 52 57 72 Up to 2 U2 75 Award both marks even if any numbers are duplicated in the list, provided all six different numbers are given. Do not accept 22 or 55 or 77 unless given in addition to the correct six numbers. If the answer is incorrect, award ONE mark for five different correct numbers. [2] 12. (a) Table completed as shown: favourite big cat 1 U1 number of children cheetah 7 lion 22 tiger 13 panther 8 leopard 10 total (b) 60 Statements ticked and crossed as shown: 1 Nine more children voted for the lion than for the leopard The lion was more popular than the tiger. 1 4 of the children voted for the tiger. All three statements must be correct for the award of the mark. Accept any other clear way of indicating the correct responses, such as ‘Y’ and ‘N’. Do not accept blanks. [2] Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 13. Award TWO marks for the correct answer of £4.40 Up to 2 Accept £4.40p OR £4 40 If the answer is incorrect, award ONE mark for evidence of appropriate working, eg 10p × 24 = £2.40 20p × 10 = £2.00 £2.40 + £2.00 = wrong answer An answer must be given for the award of ONE mark. OR award ONE mark for £440 OR £440p OR £4.4 as evidence of appropriate working which involves a complete and correct method. [2] Examples of responses Peter has shown no working and has made an error with the notation of the units since he has omitted the 0 from £4.40. However, his answer of 4:4p can be accepted as evidence that he used a complete and correct method. He can be awarded the mark. Lucy has attempted to work out the value of the 10p coins using a correct method although she has incorrectly calculated this as 140p rather than 240p. She has also shown evidence that she intended to add ten 20p coins to this value. However, her method is not complete since she has not recorded an answer. She cannot be awarded the mark. Peter 1 mark Sourced from SATs-Papers.co.uk Lucy 0 marks http://www.SATs-Papers.co.uk Freddie has clearly shown an appropriate method for calculating the value of the 10p coins, the 20p coins and their total value. Although he made an error in calculating the value of the 20p coins, his understanding of the problem is evident and his method is complete and correct. He can be awarded the mark. Stella’s method, unlike Freddie’s, is not correct since she has chosen an inappropriate operation, ie addition rather than multiplication, to calculate the value of each set of coins. Stella cannot be awarded the mark. Freddie Stella 1 mark 0 marks Surjit has drawn number lines to represent the 10p coins and the 20p coins. To find the total amount, she has subdivided the number lines into blocks representing £1 but made an error in her final calculation. Her method shows each step taken and her method is complete and correct. Surjit can be awarded the mark. Julian too has used a counting on method. He has shown the correct number of 20p coins, then has shown 20 tally marks, which we can assume represent 10p coins. We can also assume from his answer that he has totalled the amounts. Julian’s method is correct, but it is not complete since his tally has not represented the correct number of 10p coins. Julian cannot be awarded the mark. Surjit 1 mark Sourced from SATs-Papers.co.uk Julian 0 marks http://www.SATs-Papers.co.uk 14. Any two of the eight triangles shaded, eg 1 Accept any other unambiguous indication of the correct fraction, such as four half-triangles shaded. [1] 15. 310 1 [1] 16. Circles two fractions as shown: 2 10 1 3 5 10 1 1 2 1 4 Both fractions must be correct for the award of the mark. Accept any other clear way of indicating the correct fractions, such as ticking or underlining. [1] 17. The two numbers matched correctly as shown: 1 300 627 400 472 500 412 600 700 Both lines must be drawn correctly for the award of the mark. Lines need not touch the boxes or numbers exactly, provided the intention is clear. Do not accept two or more lines drawn from the same left-hand box. [1] Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 18. Boxes completed as shown: 9 7 – 5 4 1 = 43 Both digits must be correct for the award of the mark. 19. Table completed as shown: 1 number of faces number of edges 6 12 5 8 cuboid square-based pyramid [1] 20. 823 1 [1] 8.2 8.5 9.5 10.1 21. (a) Writes 8.2 in the left-hand box. 1 (b) Writes 10.1 in the righthand box. 1 [2] 4 hours 30 minutes 22. Accept 4 1 hours if the minutes space is left blank OR 270 2 minutes if the hours space is left blank. 23. 92 1 [1] Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 24. Award TWO marks for the correct answer of 16 Up to 2 U1 If the answer is incorrect, award ONE mark for evidence of appropriate working which involves a complete and correct method, eg 12 × 5 = 60 11 × 4 = 44 60 + 44 = 104 120 – 104 = wrong answer An answer must be given for the award of ONE mark. [2] Examples of responses We can assume from Kate’s first sentence that she correctly calculated 12 multiplied by 5 to equal 60 then added it to 44. So her explanation makes clear how she worked out that 104 pencils were used. In her attempt to subtract 104 from 120, she made an error but she describes a complete and correct method. Kate can be awarded the mark. In contrast, Bill attempted to explain how he worked out the total number of pencils used. However, as he has not recorded this total, we cannot assume that his answer of 20 was the difference between 120 and the total he calculated. His written description does not describe a complete method. Bill cannot be awarded the mark. Kate 1 mark Bill 0 marks Ashley has made one calculation error when working out 11 groups of 4. Although he has not recorded the method that he used to obtain his answer of 18, we can assume that his method was correct since 120 subtract 102 equals 18. There is sufficient evidence for us to assume that Ashley’s method was complete and correct. Ashley can be awarded the mark. Paula also has calculated incorrectly 11 groups of 4 but, unlike Ashley, her follow-up working does not provide an appropriate method for calculating the number of pencils left. Her method is not complete or correct. Paula cannot be awarded the mark. Ashley 1 mark Sourced from SATs-Papers.co.uk Paula 0 marks http://www.SATs-Papers.co.uk Sumila has used a counting back method that shows that she recognised the need to subtract twelve groups of 5 and eleven groups of 4 from 120. She made one error in calculating 12 multiplied by 5. However, the method she used was complete and correct. Sumila can be awarded the mark. Michael also has used a counting back method but since he subtracted only one lot of 5 then one lot of 4 from 120 to obtain his answer, his working shows that he failed to identify a complete or correct method. Michael cannot be awarded the mark. Sumila Michael 1 mark 25. 0 marks Diagram completed as shown: 1 mirror line Accept slight inaccuracies in drawing, provided the intention is clear. Vertices must be within 2mm of the correct grid points. The reflection need not be shaded. [1] 26. Number crossed as shown: 1 numbers greater than 100 multiples of 10 Accept any other clear way of indicating the appropriate number, such as a circle or a tick. [1] Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 27. 48 1 [1] 28. 84p OR £0.84 1 Accept £0 84 OR £0.84p OR 0.84 OR 84 OR £.84 OR £.84p OR .84 OR 0 84 Do not accept 0.84p OR £084p OR £84 OR £84p [1] 29. Box ticked as shown: 1 4 millilitres 20 millilitres 120 millilitres 220 millilitres 420 millilitres Accept any other clear way of indicating the approximate amount, such as a cross. [1] Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk