Relationships + BIDMAS Mark Scheme 1

Transcription

1 Relationships + BIDMAS Mark Scheme 1 Level GCSE (9-1) Subject Maths Exam Board AQA Topic 3.1 Numbers Sub-Topic Structure and Calculation : N3 - Operations : Relationships + BIDMAS Tier Foundation Tier Booklet Mark Scheme 1 Time Allowed: 58 minutes Sce: / 55 Percentage: /100 Grade Boundaries: Page 1

2 . (a) Yes, gives crect answer as inverse operations and der ds not matter (b) No, ds not wk, inverse operations not in crect der [2] M2.(a) 10 (ice creams) and 7 (lollies) chosen their (0) 12(.00) their and their 7 0.8(0) 5.6(0) their p implies Strand (i) ft crect answer with crect money notation f their 10 and their 7 SC SC Q1ft (b) Allow 1 err Page 2

3 80 their Bars that total their 50 dep Bars f 14 ice creams and 16 lollies SC1 Bars with two me lollies than ice creams with no M marks awarded [6] M3.(a) 15 and 10 in either der 15 with a number less than equal to 15 two numbers with a total of 25 B2 (b) 17 and 11 in either der two numbers giving a range of 6 f set C two numbers with a total of 28 B2 [4] M4.(a) Yes she s asking people who own dogs so they prefer them Yes she should ask people who don t own dogs / pets (b) No preference = 6 Cats = Dogs 2 Page 3

4 Dogs + Cats + No preference = 30 8, 16, 6 sces B3 [4] M5.5(.00) 2.6(0) 2.4(0) 240 May be implied their builds up to their 240 eg Must see crect method SC2 Answer only of 3 Alternative method (.00) (.00) Page 4

5 3 Must see crect method SC2 Answer only of 3 [3] M (4 + 4) (-4 4) ((4 + 4) 4) (4 (4 + 4)) 4 Any crect calculation ( ) 4 (4 4 4) 4 Any crect calculation [2] M7. Any three of = = = = 25 f each B3 [3] Page 5

6 M8.3 10p coins 2 20p coins 5 50p coins B2 any 10 coins totalling 3.20 eg 6 20p, 4 50p eg 4 5p, 6 50p any combination of 50p, 20p and 10p coins totalling 3.20 eg 2 10p, 5 20p, 4 50p 30p, 40p and 2.50 on answer lines without crect number of coins seen any number of coins totalling 3.20 eg 2 5p, 1 10p, 6 50p eg 1 10p, 3 20p, 5 50p 10 coins using any combination of 50p, 20p and 10p coins totalling eg 2 10p, 3 20p, 5 50p B3 Additional Guidance 10 coins using combination of 10p, 20p and 50p coins totalling 3.00, 3.10, p 2 10p 4 10p 1 10p 2 10p 2 20p 3 20p 1 20p 5 20p 4 20p 5 50p 5 50p 5 50p 4 50p 4 50p [3] M their dep Page 6

7 21 Additional Guidance (204 24) and = 45 is M0 [3] 0.(a) ( ) 5 their ( ) 0.05 their digits 3735 dependent on 2 nd dep Page 7

8 373.5 implies M3 Q0 Q1 Additional Guidance p is Q0 (b) 7 (%) [5] 1.(a) ( ) 3.74 Additional Guidance 3.74p 3.74p 374p with sign crossed out 374p without sign crossed out B0 (b) Allow one err 5 their dep Page 8

9 Additional Guidance Allow a mixture of units f the M marks 76p seen in wking, 0.76 on answer line [4] 2. (a) (17 + 3) SC (b) 18, 19, 20 B2 All 3 crect answers with extra increct answers any 2 crect answers with without extra increct answers 1 crect answer with without extra increct answers any crect reverse trial starting with a number between 5 and 6 B3 [5] ( ) 32 Crect minimum numbers f their 32 ft from their 32 buys beads to make each number of each colour equal R = 14, B = 0, G = 9 sces 4 marks Page 9

10 two crect minimum numbers f their 32 SC2 R = 14 and B = 0 SC1 R = 14 B2ft [4] 4. (a) (b) is placed in question so other answers are irrelevant f any crect expression i.e. not using given numbers repetition crect expression but with 3 moved from position. e.g Negative answer B0 B2 (c) = 12 f any crect expression using increct digits e.g. 0 repeating digits e.g = 10 B2 [5] seen 300 SC1 900 [2] Page 10

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