mep MEP: Primary Project: Year 6 YEAR 6 Copy Masters CIMT, University of Exeter
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1 YEAR 6 Copy Masters
2 Digit value Place value Actual value In sum form Digit value Place value Actual value In sum form LP 1/3
3 Digit value Place value 2 4 TTh Actual value In sum form LP 1/ Digit value Place value Actual value 3 8 TTh In sum form LP 1/7
4 HTh TTh Th H T U i) ii) iii) iv) LP 1/5
5 Th H T U t h th a) 1002 m 20 cm m b) 47 litres 83 cl litres c) 50 kg 430 g kg d) p e) 16 km 39 m km LP 1/8
6 LP 2/3 a) b) LP 2/4
7 Next smaller hundred Number Next greater hundred LP 2/5
8 a) Round to the nearest 10 units: m 2065 l 51 cl 429 km 350 m b) Round to the nearest unit: p m 2356 m 48 cm l 41.3 litres km kg m l kg c) Round to the nearest tenth of a unit: m m 66 litres 99 cl l 46 kg 87 g kg LP 2/6
9 a) 237 HTh TTh Th H T U t h = = = = b) 65.2 HTh TTh Th H T U t h = = = = c) 8.14 HTh TTh Th H T U t h = = = = LP 3/4
10 a) HTh TTh Th H T U t h th = = = = b) HTh TTh Th H T U t h th = = = = c) HTh TTh Th H T U t h th = = = = LP 3/5
11 a) 4.31 m = mm = 431 b) 81.6 cm = mm = m c) litres = cl = 2945 d) 72.8 ml = cl = e) 5.26 kg = g f) g = LP 3/7
12 a) = = b) = = c) = = d) = = e) = = LP 4/3
13 a) = 6280 = b) = = c) = = d) = = e) = = f) = = g) = = LP 4/4
14 a) = b) = c) = d) = e) = f) = g) = h) = LP 4/5
15 3 3 kg tonne litre 0.3 m g litre mm kg 0.03 m 3 30 cl 30 ml km LP 5/2 a) to the nearest 10 units: m g 15 litres 46 cl km b) to the nearest unit: p 88 cm 6.9 mm kg litres km 52 m c) to the nearest 10th: p cm kg ml km LP 5/3
16 Unit Ten Hundred Thousand T Thu LP 6/3
17 a) 7 = 56, 7 = 5600, 7 = 5.6, 70 = 5600 b) 5 = 750, 5 = 75, 50 = 750, 50 = 75 c) 60 = 420, 60 = 4200, 600 = 4200, 60 = 42 d) 4 = 500, 40 = 5000, 40 = , 40 = 500 e) 4 = 100, 4 = 1000, 40 = 1000, 40 = 100 f) 15 = 120, 150 = 1200, 15 = 1200, 150 = 120 LP 6/5
18 LP 6/7 a) i) ii) = = b) i) ii) = 4 = c) i) ii) = 800 = d) i) ii) = 1 = e) i) ii) = 0 =
19 a) = = = = = = = = = b) = = = = = = = = = c) = = = 26 4 = = = 43 7 = = = d) = = = = = = 8 20 = = = LP 7/3
20 a) = = b) = = c) = = = = 63 0 d) ( ) + 15 = 82 + ( ) ( ) + 50 = 400 ( ) 400 ( ) = ( ) 100 = ( ) ( ) 30 = 360 (160 30) 360 (160 30) = e) (18 2) 4 = 18 (2 4) (18 4) 2 = 18 (4 2) (60 3) 5 = 60 (3 5) (80 4) 2 = 80 (4 2) 60 (3 5) = (4 2) = f) 7 ( ) = (15 25) = (7 + 15) (7 + 25) LP 7/5
21 a) 16 ( ) = b) 37 ( ) = c) ( ) 5 = d) (200 20) 45 = e) ( ) 6 = f) (160 75) 5 = g) 750 ( ) = h) 144 (72 48) = i) ( ) 1 = j) ( ) 0 = k) ( ) 1 = l) ( ) 0 = m) ( ) 29 = n) 300 (15 15) = o) 4 (12 25) = p) 8 (45 5) = q) 350 (14 5) = r) 600 (60 4) = s) 9 (0 3) = t) 45 (9 0) = LP 8/7
22 A B C D E F 1 cm 2 cm 3 cm 4 cm 5 cm 6 cm Area of: A: cm 2 = mm 2 C: cm 2 = mm 2 E: cm 2 = mm 2 B: cm 2 = mm 2 D: cm 2 = mm 2 F: cm 2 = mm 2 LP 9/4
23 a = 15 m, b = 57 m A = Tommy's method 855 m 2 A = a = 17 m, b = 57 m m 2 A = a = 19 m, b = 57 m m 2 a = 16 m, b = 57 m a = 18, b = 57 m a = 20 m, b = 57 m A = A = A = LP 9/7
24 a) = b) = c) = d) = e) 5 ( ) 5 = f) = g) = h) = LP 10/1
25 A B C D E F 1 cm 9 cm 49 cm 81 cm 169 cm cm A: P = cm B: P = cm C: P = cm D: P = cm E: P = cm F: P = cm LP 10/4
26 a) i) ii) iii) = = = iv) v) vi) = = = b) i) ii) iii) = = = iv) v) vi) = = = LP 11/2 a) b) LP 11/5
27 a) < < b) < < c) < < LP 11/3
28 a) = + Th H T U units tens hundreds thousands or + Th H T U or or Th H T U b) c) = = d) e) f) LP 11/4
29 a) b) c) d) e) f) g) h) LP 11/7
30 LP 12/3 c) a) b) LP 12/2 a) b) d)
31 a) 4 2 b) c) LP 12/4
32 LP 12/5 a) b) c) d) e)
33 a) b) c) LP 12/7 a) b) c) LP 12/8
34 LP 13/2 and 13/3
35 a) Peter is 16 years old but his savings are just one fifteenth of the savings of his sister who is 5 years younger than he is. How much has Peter saved if his sister has saved 7500? b) In London, 15 mm of rain fell at 3 am. At 1800 hours, there was another downpour. How much rain fell then? c) Cindy is 5 years old and weighs 24 kg. Her grandfather is 13 times older. How old is Cindy's grandfather and how much does he weigh? LP 13/7
36 a) Christopher bought a painting for Then he sold it 3 weeks later for After another 2 weeks, he changed his mind and bought the painting back for After 1 week, he sold the painting again for Did he make a profit or a loss on the painting and how much was it? b) A box 15 cm deep holds 13 kg of tomatoes and a box 20 cm deep holds 17 kg of tomatoes. What is the total price of all the tomatoes in the 2 boxes if 1 kg of tomatoes costs 2.25? LP 14/4i
37 c) Kate made some jam from 25 kg of apricots and 7 kg of sugar. She lost 8 kg of fruit through boiling and then sieving to remove the stones and skin. How much did it cost to make 1 kg of jam if 1 kg of apricots cost 1.28, 1 kg of sugar cost 1.10, and other costs (covers and labels) were 1.25? d) A shopkeeper bought 120 kg of potatoes from one farmer for 76 p per kg and 59 kg from another farmer for 69 p per kg. He then sold all the potatoes at the same price so that he made a profit of 16 p per kg. At what price did he sell the potatoes? LP 14/4ii
38 LP 14/4ii
39 a) i) ii) iii) = = = iv) v) vi) = = = b) i) ii) iii) = = = iv) v) vi) = = = LP 15/1 a) b) c) d) LP 15/3
40 a) b) LP 15/2
41 r = 0 r = 1 r = 2 r = 3 r = 4 r = 5 LP 16/ Number Remainder after dividing by: (2) (5) (10) LP 16/4
42 Remainder y x Dividend LP 16/3
43 i) 7 = ii) 704 = = = = = = = Divisible by 10, 2 and Divisible by 10, 2 and 5 We only need to look at the units digit. LP 16/5 a) 7 = b) 2176 = = = = = = = = = Divisible by 100, 4 and Divisible by 100, 4 and 25 We only need to look at the tens and units digits. LP 16/6
44 a) i) 1 = = = = ii) 2 = = = = iii) 7 = = = = = = = Divisible by Divisible by Divisible by 9 and 3 9 and 3 9 and 3 LP 17/4a
45 b) i) When 1000 is divided by 9 or by 3, the remainder is the same as when is divided by 9 or by. ii) When 200 is divided by or by 3, the remainder is the same as when is divided by or by 3. iii) When is divided by 9 or by 3, the remainder is the same as when is divided by 9 or by 3. LP 17/4b
46 a) Number Remainder after dividing by: (9) (3) b) Number Remainder after dividing by: (9) (3) LP 17/5
47 a) When 7000 is divided by 9 or by 3, the is the same as when 7 is by 9 or by 3. b) When 400 is divided by or by 3, the remainder is the same as when is divided by 9 or by 3. c) When 50 is by 9 or by 3, the remainder is the same as when is divided by 9 or by 3. LP 17/6i
48 d) When 8 is divided by, the remainder is itself, but when 8 is divided by the is 2. e) When 7458 is divided by 9, the remainder is the same as when is divided by 9, so the remainder is. f) When 7458 is divided by 3, the is the same as when = 24 is divided by 3, so the remainder is. LP 17/6ii
49 10 n 30 Divisible by 3 Multiple of 2 LP 17/8a
50 10 n 30 Divisible by 9 Divisible by 3 LP 17/8b
51 1 n 30 Factors of 20 Factors of 30 LP 18/3a
52 1 n 45 Factors of 28 Factors of 45 LP 18/3b
53 0 n 72 Multiples of 6 Multiples of 8 LP 18/5a
54 n 0 Multiples of 5 Multiples of 8 LP 18/5b
55 1 n 40 (i) (ii) Factors of 24 Factors of 40 (iv) (iii) LP 20/4
56 a) b) c) d) e) f) LP 21/3
57 a) b) c) d) f) e) LP 21/4
58 a) mm b) cm c) mm cm mm cm m m m d) mm e) cm f) mm cm m m LP 22/3
59 a) m km m m m m + b) m km m LP 22/4
60 a) mm cm m 7 b) mm cm m LP 22/5 a) cm b) cl c) km LP 22/7
61 a) cm 3 b) km 5 c) m 3 LP 22/6 a) mm b) c) LP 22/8
62 a) b) c) d) e) f) LP 23/3
63 a) b) c) d) e) f) LP 23/4
64 a) = = = = b) = = = = c) = = = = d) 75 3 = = = = e) = = = = f) = = = = LP 23/6
65 a) E: E: E: b) c) LP 23/8
66 a) = a + b = c, a = b = b) = a b = c, a = b = c) = a b = c, a = b = d) = a b = c, a = b = LP 24/6
67 a) b) c) d) e) f) LP 25/1
68 a) b) c) d) e) f) LP 25/2
69 LP 26/3
70 a) (+ 11) + ( 7) = (+ 110) + ( 70) = (+1100) + ( 700) = (+ 1.1) + ( 0.7) = b) (+ 6) + ( 15) = (+ 60) + ( 150) = (+ 600) + ( 1500) = (+ 0.6) + ( 1.5) = c) ( 23) + ( 41) = ( 230) + ( 410) = ( 2300) + ( 4100) = ( 2.3) + ( 4.1) = d) 15 + ( 80) = ( 800) = ( 8000) = ( 8) = e) = = = = LP 26/5
71 a) (+ 18) (+ 5) = (+ 1.8) (+ 0.5) = b) (+ 7) (+ 32) = (+ 0.7) (+ 3.2) = c) ( 43) ( 15) = ( 4.3) ( 1.5) = d) ( 6) ( 21) = ( 0.6) ( 2.1) = e) (+ 65) ( 20) = 6.5 ( 2) = f) ( 40) (+ 32) = 4 (+ 3.2) = g) ( 33) 0 = = h) 0 (+ 81) = 0 (+ 8.1) = LP 26/6
72 a) i) (+ 83) + (+ 36) = ii) (+ 8.3) ( 3.6) = b) i) (+ 100) + ( 70) = ii) (+ 1) (+ 0.7) = c) i) (+ 26) + ( 82) = ii) (+ 2.6) (+ 8.2) = d) i) ( 49) + (+ 94) = ii) ( 4.9) ( 9.4) = e) i) ( 35) + ( 53) = ii) ( 3.5) (+ 5.3) = f) i) 0 + (+ 42) = ii) 0 ( 4.2) = g) i) 0 + ( 27) = ii) 0 (+ 2.7) = h) i) 48 + ( 48) = ii) 4.8 (+ 4.8) = LP 27/3
73 a) = b) = c) = d) = e) = f) = g) (4 6) ( 5) = h) 5 ( 9 14) = LP 27/4
74 a) ) x y Rule: y = b) x y Rule: y = LP 27/5i
75 y x LP 27/5ii
76 a b Rule: a = b = LP 28/2 a) ( 5) = 45, 2.5 = 12.5, 3 = 9.6, ( 7) = 28 b) =, 36 (+ 4) =, 60 ( 12) =, 48 ( 8) = c) (+ 7) = 4, ( 6) = 11, 5 = 1.2, ( 3) = 40 d) ( 75) = 25, ( 39) = 13, 4.2 = 1.4, 150 = 50 LP 28/5
77 a) b) c) (+ 27) (+ 3) = (+ 27) ( 3) = 8 ( 2) = (+ 18) (+ 3) = (+ 18) ( 3) = 4 ( 2) = (+ 9) (+ 3) = (+ 9) ( 3) = 2 ( 2) = 0 (+ 3) = 0 ( 3) = 0 ( 2) = ( 9) (+ 3) = ( 9) ( 3) = 2 ( 2) = ( 18) (+ 3) = ( 18) ( 3) = 4 ( 2) = ( 27) (+ 3) = ( 27) ( 3) = 8 ( 2) = LP 28/4
78 a) ( 8 + 5) 7 = b) ( 15 8) 4 c) ( 7 + 5) ( 9) = d) ( ) 7 e) ( 18 12) 3 = f) ( ) ( 4 ) = g) ( ) 13 = h) ( ) 0 = i) (15 30) ( 1) = j) 66 (24 18) = k) 80 ( ) = l) 13 ( 7 + 8) = LP 28/6
79 a) The sum of two (or more) negative numbers is and its absolute value is the of the numbers'. b) To add a positive and a negative number, calculate the difference of the the number which has the absolute value. values and take the sign of c) To multiply by a negative number, multiply the number of the multiplicand by the opposite number. d) The product of a negative and a positive number is and its absolute value is equal to the of their absolute values. e) The product or quotient of two negative numbers is. LP 29/2
80 a) i) (+ 12.3) + ( 24) = ii) ( 2300) + ( 1100) = iii) ( 2.3) + (+ 5) + ( 9.2) = b) i) 4.7 (+ 5.3) = ii) 210 (+ 120) = iii) 6.8 ( 2) = iv) 40 ( 50) = LP 29/3i
81 c) i) ( 6) = ii) = iii) 10.5 ( 5) = iv) 2 3 ( 1) (+ 4) ( 5) = d) i) 3 ( 2) = ii) ( 105) 21 = iii) ( 8.4) ( 7) = iv) = v) 41.3 ( 1) = e) i) ( 3) ( 3) = ii) ( 3) ( 3) ( 3) = iii) ( 3) ( 3) ( 3) ( 3) = iv) ( 4) ( 4) ( 4) = LP 29/3ii
82 y x 5 LP 29/4i
83 y x 5 10 LP 29/4ii
84 a) Rule: y = ( 2) x x y b) Rule: y = ( 2) x + 3 x y LP 29/5a
85 5 y x LP 29/5b
86 a) = = b) = = c) 76 ( 2.8) = 7.6 ( 0.28) = d) 32 ( 0.5) = 3.2 ( 0.05) = e) 84 ( 11.5) = 8.4 ( 1.15) = f) = = g) = = h) = = i) 10 ( 3.5) = 1 ( 0.35) = j) 12.1 ( 12.1) = 1.21 ( 1.21) = LP 30/1
87 x y Rule: x = y = x y Rule: x = y y = LP 30/2i x 1 y 1 Rule: x = y = LP 30/3i
88 : x y 1 y x LP 30/2ii and LP 30/3ii
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