1. (a) (i) 0.049, 0.39, 0.4, 0.409, B1 for correct order. (b) B1 for (a) B1 for (b) B1 for 0.08.

Transcription

1 . (a) (i) 0.049, 0.39, 0.4, 0.409, 0.49 B for correct order (ii) 7, 5, 3,, 4 B for correct order (b) 5 B for 5 [3]. (a).88 B for.88 (b) 0.08 B for 0.08 (c) B for 4 (B for sight of 8, 5 or 0) Remainder = Each child gets = 4 4 M for using common denominator 4 A for either or oe seen M for 4 A for oe fraction 4

2 of 40 = 0 Left with 40 = 8 40% of = 80 p Sold 8 oranges for 80p so x = 80 8 = 0 M for 0 3 of 40 A for Bft for 40 = 8 B for 80 p A for 0 [5] 5. (i) 0.067, 0.56, 0.6, 0.605, 0.65 B cao Ignore trailing zeros (ii) 0, 6, 4,, 5 B cao (iii), 5,, B all four correct (B any three in correct order) SC: B all 4 in reverse order 6. (i) 64 4 B cao (ii) 3 B cao (iii) B cao (B for sight of 4 9 or better, or 44 seen) 7. (a) 4, 43, 47 B 3 & 0 (B for & ) (b) 000 B cao [3]

3 or M for complete correct method with relative place value correct, condone arithmetical error A cao (A for digits 84 seen or ft if M awarded) [3] 9. (a) M e.g. for A cao (b) M for 480 6oe A cao (c) 680 0% = 68, 0% = 36 or 00 oe seen 40 M for 0% = 68, 0% = 36 or A cao 00 oe seen 40 [6] 0. (a) M for A cao (b) 3 oe 3 4x 3 = 4x = + 3 M for 4x 3 = M for 4x = + 3 A for 3 oe (c) 7n B cao

4 (d) t(t 5) B cao [B for t( )] [8]. (a) oe M for oe A cao (b) or 70 M for or 70 seen A cao. (a) (i) M for 30 5 A cao (ii) 9 A ft from 450 (b) A 50 A B oe 50 (B for 50n seen) (c) % = M for (00 0)% = M Dep for 00 "80" A cao [8]

5 3. (a) M for correctly writing both fractions to a common denominator. 3 A for oe 40 (b) Or 5- & oe or oe M for correctly decomposing into non mixed numbers M ft for correct method to write all fractions to a common denominator 35 A for oe single fraction or mixed number SC: B3 for.96 (B for oe decimals) [5] 4. (i) p 9 B cao (ii) x 5 B cao [] 5. (a) M for 00 A cao

6 (b) w w + 0 = 00 M = stated or used M dep 3w + 0 = 00 oe A cao [5] 6. (a) (i) 3e + f B for 3e + f (ii) 3p B for 3p (b) M for A for M for complete correct method with relative place value correct, condone error in multiplication. A cao (A for digits 8554 seen or A ft for dependent on one arithmetic error only) [3] 8. (a) M for 800 oe 00 A for 360 (b) M for 00 oe 800 A for 9. 7 which is not even + 3 =

7 B (B for correctly evaluating n + 3 with a prime number value for n.) [] 0. (a) M for oe A for 7 (b) (0 0) M for 8560 (0 0) oe A for 85.6 (c) (i) 00.5 Least length = 00.5 B for 00.5 (ii) 0.5 Greatest length = 0.5 B for 0.5 or or better [6]

8 . (a) M for complete method with relative place value correct, condone one error in a single digit multiplication A cao (A for either 880 or a correct conversion of their total into pounds) (b) M for intention to divide 7.30 by 65p M for complete method for dividing 7.30 by 65p, condone one arithmetic error A for 4 cao (c) Cheese 8 Topping /5 = 4 M for 70/5 or 5 parts = 70 or 4 seen in a correct context M for 4 or 4 3 (implied by 8 or 4) A for 8 and 4 cao (SC B for 4, on answer line without working) [9]

9 . (a) M for correctly writing both fractions to a common denominator A for 3 oe 3 B ft for "" 3 (b) M for correctly written as an improper fraction 8 M (indep) for 5 A for 0 oe [6] M for 3500 or 4000 or 5 seen M for 365 or 400 or 7 4 A for answer in range [3]

10 4. (a) (i) x 4 B cao (ii) y B cao (b) t² + t 8 B for fully correct (B for 3 out of 4 terms from t² + 4t t 8) (c),, 0,,, 3 B for fully correct (B for,, 0,,, 3 with either omitted or 4 included, or both, or any five integers correct only and no incorrect integers) [6] 5. (a) = 0 5 = M substitute e.g 5 and 5 3 or 0 and 5 A cao (b) M substitution e.g 5 4 7; do not accept 54 7 M or or 80 7 (NB 4 as 4 4) A cao [5]

11 or or M for an attempt to multiply the units and tens, or correct partitioning M complete correct method (condone one arithmetic error) A for 90. cao OR M for putting the numbers in a grid M for multiplying out and addition (condone one error) A answer shown with point OR M for correct partitioning M and calculated oe (condone one error) A cao [3] 7. (a).39 B (b) 3 : 4 B [] AB = 6.7 cm M 6.7 cm mm A cao []

12 9. (i) B (ii) 60 B [] 30. Bob + explain 90 6 M six part seen A Bob + valid reason [] 3. (a) (i) ½ hour B for ½ hour oe (ii) 00 B for 00 (b) 80 B for 80 (B for 0/.5) 3. (i) 0.33 B for 0.33 (ii) 7000 B for 7000 [] B cao B cao [] 34. (a) B cao (b) B cao []

13 35. ( 3) 4 3 M for ( 3) 4 3 A cao [] 36. (a) B cao (b) B cao [] M for A cao [] 38. : 3 6 : 4 M for 6 : 4 OR 8 : OR 4 : 6 A [SC B for 3 if no method mark earned] [] 39. (i) 0.067, 0.56, 0.6, 0.605, 0.65 B cao (ii) 0, 6, 4,, 5 B cao (iii), 5,, B for all 4 correct (B for any 3 in correct order) SC: B for all 4 in reverse order 4

14 40. (i) 9 30 B cao (ii).3 B cao [] 4. 8 M for the prime factors (, 3, 3, 3) of 54 or the 5 prime factors (,,, 3, 3) of 7 (Alternative: M for at least 3 factors ( ) in each list. Condone one error in each list) A cao [] M for A cao 5 0 or oe [] B cao [] 44. (a) 3 oe (= 5) 3 3 M for denominator of + 3 A (b) ( + 3) M for 300 ( + 3) A cao

15 45. (a) 0.06 B cao (b) B cao [] 46. (a) B cao (b) B cao []

16 = + = OR 8 3 = 8 5, 3 = = or = M for and oe M A for (M A0 for ) 4 (M M0 A0 for correctly evaluated) OR M for 8 5 or 3 seen M for or A for oe 4 OR M for and 0.33 or better M for or better A for 0.96 recurring [3] 48. (i).74 B cao (ii) 3.3 B cao (iii) M for oe A cao 49. Valid reason B eg too many digits after the decimal point []

17 50. (a) 3800 B cao (b) B cao [] M for oe A for 360 [] 5. (a) (i) 3e + f B for 3e + f oe (ii) 3p B for 3p oe [] 53. (a) (i) 8 B cao (ii) 5 B cao (b) 5/8 oe 7/8 /8 M for correctly writing both fractions to a common denominator A for 5/8 oe M for 36/50 00 oe A cao []

18 = 80 = 5 M for the 5 prime factors (,,,, ) of 3 OR the 5 prime factors (,,,, 5) of 80 (Alt: M for at least 3 factors of each number listed; not equal to, condone one error in each list) A cao (sc B for 8 with or without working if Mo scored) [] 56. (a) B cao (b) 0.04 B cao [] 57. (a) B cao (b) B cao [] 58. (a) 4 B (b) M for (condone one arithmetic error) A cao [SC B for 360] [3] M for and oe (accept ) A for oe []

19 = = 3 5 M for the 5 prime factors (,,, 3, 3) of 7 OR the 5 prime factors (,,, 3, 5) of 0 (Alt: M for at least 3 factors of each number listed: not equal to, condone one error in each list) A cao [SC: B for with or without working if MO scored] [] 6. 3/0 8 M for 8 A cao 3 7 [SC: B for or ] M for 80 5 or of 80 or 56 seen or 4 seen 5 A cao 6. (a) 0 B cao (b) Correct size & position 3 B3 fully correct (B correct size, wrong position or correct enlargement of sf n( 3) about A) (B At least sides correct or correct size, wrong position with sf n( 3)) = M for or or A accept 0.5 []