Answers to Scholastic National Curriculum Maths Practice Book for Year 5

Transcription

1 to Scholastic National Curriculum Maths Practice Book for Year The answers are given below. They are referenced by page number and where applicable, question number. The answers usually only include the information the children are expected to give. There may be some places where the answers vary or multiple answers are acceptable, these are marked as such. Page Question 6 a 8, 8, 8, 8, 86, 87, 88, 89 b 6,67, 6,77, 6,87, 6,97, 6,07, 6,7 a 86, 96, 606, 66, 66, 66, 66, 66 b,09,,609,,709,,809,,909, 6,009 a 6,, 6,, 6,, 6,, 6,0,,9 b 69,8, 69,08, 68,98, 68,88, 68,78, 68,68 a 9,6, 0,6,,6,,6,,6,,6 a 8,7, 8,7, 80,7, 79,7, 78,7, 77,7 7 a,, 7, 0. b,,, 9 c 9,,, 6 a 0,, 0, b,,, c 6,, 0, C C C 6 7 C Page of 0

2 9 a b 78 c,96 d,68 e 7,9 f 7,09 g 0,00 h 88,008 a One hundred and five b One hundred and fifty c Eight thousand and six d Eight thousand and sixty e Eight thousand, six hundred f Six thousand and eight 0 b 0 = Four thousand, three hundred and four c 07 = One thousand and seventy-two d 6,9 = Sixty-one thousand, five hundred and ninety-one e,0 = Twenty-four thousand, one hundred and fifty b 7cm; 7cm c 766mm; 700mm d 70cm; 700cm e 6.7m; 0.7m or 70cm f 7m; 7000m g 799g; 7000g h 7; 700 a 8 b 0 c Five thousand, two hundred a 7 b c 9 d 09 e f g 8 h 70 i 70 j 0 k 900 l 6 Page of 0

3 MC = 00 MCCC = 00 MDCL = 60 MM = 000 MMXIV = 0 MMX = 00 will vary. For example, 00 = MMIV, 00 = MMV, 006 = MMVI a 8, 8 b 67, 76 c 9, 9, 9, 9, 9, 9 d 68, 86, 68, 68, 86, 86 e 78, 87, 78, 78, 87, 87, 78, 87, 78, 78, 87, 87, 78, 78, 78, 78, 78, 78, 87, 87, 87, 87, 87, 87 f 07, 07, 07, 70, 70, 70, 07, 07, 07, 70, 70, 70, 70, 70, 70, 70, 70, 70 Nearest 0: 9, 60, 6, 6 8, 78, 77, 76 Nearest 00: 897, 9, 9, 9 8, 0, 99, 0 06, 89, 77, 79 88, 86, 9, 87 66, 8, 6, 60 00, 999, 989, 00 Programme Viewers Rounded to the nearest 000 Rounded to the nearest 0,000 Rounded to the nearest 00,000 Sing to Win 7,9 7,000 70,000 00,000 Emergency Ward 7,67 7,000 70,000 00,000 Football Live 8, 8,000 80, ,000 The Constabulary 7,67 7,000 70,000 00,000 All Aboard! 68, 68,000 60, ,000 Daily News 9,68 9,000 90, ,000 Cooking Today 6,89 6,000 60,000 00,000 School Quiz Challenge 8,7 8,000 80, ,000 Star Quality 99,0 99, ,000,000,000 a 6,000 b,6,000 c,770,000 d,,000 Page of 0

4 6,, 0,,, 6, 6, 8, 0, 0,,,,,, 8, 0, 0,,,,,, will vary. 7 Edinburgh, Belfast, Birmingham, London, Cardiff, Plymouth C, C, 0 C, C, 0 C, 6 C C C 8 a 6 b c d a b 7 c 78 d 8 a 6.0 b.0 c.m d.m e f a 0p 0p b c Page of 0

5 9 a 60 b 0 c 790 d 0 e 760 f 80 g 670 h 900 a 70g + 6g + g = 90g b = 77 children will vary. 0 a 70 b 70 c 80 d 80 e 80 f 0 g 860 h 600 i 90 j 89 k 080 l 80 a 960 (double ) b 0 (double ) a = 60 b = 79 a = 60 + = 67 b = = = 676 = = = 99 Page of 0

6 a = 8 b = 8 c = 6 d = 8 b = 6 c = 78 d 0 = e = = 7 + = 7g 0km 887 miles 66kg 80g 6 8 litres 7 900m 8 000km a 0,99 b 0 c 8 d 8 e 89 f 888 g,67 a 8,06 b 0,7 c 78,6 d 6,80 e 97,809 f,97 a b Page 6 of 0

7 6 a 8 b c d 7 e 69 f 79 a 006 b 7 a b 8 0 c d e f g 00.8 h 87 cards 8 a 9.0 b 0 c 6.69 d e.9kg 6.6 or 9.8 Yes the 7.9 could be the larger or smaller of the numbers in the number sentence. f No, the correct change should be 6.8 from 0. 9 a 7,9 b 9.09 c 6 d. e. or.0 f. or.0 g h or 9.. Yes, the 6.8 could be the larger or the smaller of the numbers in the number sentence. Page 7 of 0

8 Page number Question number 0 a b c Mike s answer is incorrect Mike s answer is incorrect Mike s answer is correct Mike s answer is incorrect Mike s answer in incorrect Mike s answer in incorrect. question answered correctly. Page 8 of 0

9 a = = = 90 b = = = 00 c = = = 7 d = = = 7 e = 0 a 0, = = 908 b 0,.8 c 0, d 0m, 0.7m a b c a 6 =, 6 =, 6 =, = 6 b 6 = 8, 6 = 8, 8 = 6, 8 6 = c 8 = 0, 8 = 0, 0 = 8, 0 8 = d 7 8 = 6, 8 7 = 6, 6 7 = 8, 6 8 = 7 a b 7,, 7 Check children s answers. Check children s answers. Page 9 of 0

10 8: 9 9, 7, 8 0: 0,, 0, 6 8: 8,, 6,, 8 6 7: 7, 6,, 8, 6, 8 9 :, 6, 8 9: 9, 7 7 :,,, 6 7 :, 7 :, 7 8: 8, 9, 6 6: 6, 8,, 9, 6 6 6: 6, 8,, 7 8 6: 6,, 6, 8 8 6: 6,, 7 9 7: 7, 9 0: 0, 0, 0, 8 90: 90,, 0, 8, 6, 9 0 8: 8,, 7 6: 6, 8, 6 Red numbers: 66, 78 Blue numbers:,, 8,,, 9, 77 Yellow numbers: 6,, 0, 6, 8 Purple numbers: 7,, 8, 99 Orange numbers: 0, 0, 0, 0 Page 0 of 0

11 = 0 = = 0 = 0 = 6 = 8 0 = 0 = 9 = 0 = 0 = = 6 0 = 0 = = = 60 6 = 8 6 = 7 0 = 70 7 = 7 = = 80 8 = 8 = 9 0 = 90 9 = 7 9 = = 00 0 = 0 0 = 0 0 = 0 = = 0 = 0 = 6 = 8 = 0 + = b is a multiple of,, 9 c 90 is a multiple of,,, 6 d 960 is a multiple of,,,, 6 will vary a,, 8, 6 b 8,, 7 c 6, 8,, 9, 6 6 d 0, 0, 0, 8 e 6,, 6, 8 8 f 8, 7 = 0 + = = 0 + = = = 6 = = 8 = = 9 = 0 + = = 0 + = = = 6 = 0 + = 6 = = 70 6 = = 78 6 = 60 + = 8 7 = 70 + = 9 7 = = 98 8 = 80 + = 0 8 = 80 + = 9 = = 7 9 = = 6 0 = = 0 0 = = 0 = 0 + = = 0 + = = = 6 = = 68 0 There are 6 factors,,, 8, 6, a 60 b Because there is no other number under 00 that can be divided by all those numbers and give a whole number answer. Page of 0

12 a 6 b 0 c 60 d 600 Check children s answers. The prime numbers less than 00 are:,,, 7,,, 7, 9,, 9,, 7,,, 7,, 9, 6, 67, 7, 7, 79, 8, 89, = 6 = = = = 7 It is made up of the first four prime numbers. Page of 0

13 a 00 b 60 c 00 d 0 e 80 a, 8,,, b 96, 8,,, 6 c 60, 80, 0, 0, 0 d 000, 00, 0 a 80 b 00 c 70 d 0 e f 0 g h 8 a 80 b 00 c 80 d 6 c 800, 900 d 8900, 0 e 600, 800 f 00, 0 Page of 0

14 6 a (90 ) + (6 ) = = 80 b (0 8) + (8 8) = = 6 c (80 6) + ( 6) = = 98 d (70 9) + ( 9) = = 666 b 9m c km d 9g e ml f g 9mm h 66kg i 0p or.0 j.8 or 8p k 7 miles 7 a b a. 0 r b r c d c r d. 9 8 r 7 a groups, children left over b packs, 0.0 or 0p left over 8 a b 8 c 60 d 78 e f 7 9 a 908 b 80 c 8 d 67 e 9,67 f,09 Page of 0

15 Page number Question number 0 a 6 b 9 c 0 d 0 e f a 66 r b 8 r c 6 r d 6 r e r f r a. 0 00,000 b..m m 0m,00m c. 6 km 6km 60km 600km d..g.g g 0g e. 6 kg 6. 6kg 60kg f..0g 0.g 0g 00g g. 6 m 67.m 67m 670m h i. 0.00g 0.g g 0g j. km km 0km 00km., 8.6, 60., 87. Abacus shows 0.,.86, 6.0, 8.7 b 0mm, cm,.m c 60mm, 6cm,.6m d 60mm, 6cm, 0.6m a 00 times b 0 c p d 00 e Page of 0

16 ,,, 9, 6,, 6, 9, 6, 8, 00 will vary. 7² = 9 9² = 8 0² = 00 ² = ² = 69 ² = 6² = 6 8² = ² = ² = 76 ² = 6 8² = 78 0² = 900 0² = a = b = 6 c = d = 000 e = 7 = ³ 7 = ³ 6 = ³ = ³ 000 = 0³ a b c 9 8.kg will vary. For example,.9,.9 a 07 b No, I should receive. Page 6 of 0

17 9 6.0 Be a Roman Soldier: (.8) + (.0) = = 0.0 Row the boat as slaves: (0 0.90) + (0.0) = = Taste of Ancient Rome: (9.00) + (9.0) = = = No, it should be =.00 = No, they would measure 6.8cm. He is.cm too long. a 8 b 80 a b a 89 litres 06 cars b nails 08 biscuits 0 apples 608 rations 09 cannonballs 6 6 packets 6 a 78 b 6 70 pairs boxes, left for his tea.m boxes 0.6km 6. litres 6 6 a children b c adults Football ( coaches); Athletics ( coach); Swimming ( minibuses); Archery (minibus) Page 7 of 0

18 66 To make small sponge cakes, you will need: 00g soft margarine 00g caster sugar eggs 00g self-raising flour tablespoons cocoa paper cake cases To make 8 small sponge cakes, you will need: 0g soft margarine 0g caster sugar eggs 0g self-raising flour tablespoons cocoa 8 paper cake cases 67 will vary. In 0 8 countries used the euro: Austria, Belgium, Cyprus, Estonia, Finland, France, Germany, Greece, Ireland, Italy, Latvia, Luxembourg, Malta, The Netherlands, Portugal, Slovenia, Slovakia and Spain Check children s answer against current exchange rate. 68 a will vary. For example, b will vary. For example, 7 8 c will vary. For example, 6 d will vary. For example, 0 e will vary. For example, 8 f will vary. For example, 0 g will vary. For example, h will vary. For example, 7 0 i will vary. For example, 8 j will vary. For example, 6 0,,, 7 0, 0, 8 0 6, 9,, 9,, 9,, 6 69 a will vary. For example, 8 b will vary. For example, c will vary. For example, 8 d will vary. For example, 6 e will vary. For example, 7 8 f will vary. For example, g will vary. For example, h will vary. For example, Page 8 of 0

19 70 0 = 0. = 0. 0 = 0. = 0. = 0. 0 = 0. 0 = 0. = = = = = may vary, but ensure coloured shapes match linked fractions. 7 7 b = 9 c = 9 d = 7 e 6 = 6 7 a b c d 7 9 e 7 f 6 g h 9 0 a b c d e f Page 9 of 0

20 7 a 7 b c 6 a b a b,,,,,,, or,,,,, Page 0 of 0

21 7 a b c d a or 7 0 or b or c 9 or or /6 76 a = 8 b = or c = 8 6 or 6 or d 6 6 = 6 or e = 0 or 9 f 0 0 = 7 0 g = 9 7 h 8 8 = 8 i = 0 9 or 9 j 6 = 7 k = 8 l 9 9 = 9 Page of 0

22 77 a =,? = 78 a b = 6,? = or 6 c =,? = 0 d =,? = 0 b or c or 8 d or 9 e or f 7 or 7 6 g or 7 h or 79 a 6 9 b or 9 0 c or 6 7 d or e or 7 f or 80 a Six units b Six tenths c Six thousandths d Six hundredths a 0.7 b 0.7 has a zero in the thousandths column whereas 0.7 has a in the thousandths column making it larger. 8 a Any number between.00 and.999 b Any number between.00 and.9 c Any number between.0 and.99 d Any number between 0.00 and 0.99 e Any number between 0. and 0.9 f Any number between 9.90 and a b 766 c 0 a. b 7.8 c 6. a.7 b 09. c 0..0,.09,.09,.,.0,. Page of 0

23 8 Long jump Standing jump Bean bag throw Balance beam walk 0-sec hop st Faarea Jo Jo Faarea David nd Sam Sam Sam Tom Jill rd Jill Faarea David Jill Faarea th Tom David Faarea David Sam th Jo Tom Jill Sam Jo Faarea = 8 Jo = David = Sam = Tom + + = 7 Jill = Faarea is the overall winner because she scored 8 points , 8.8, 8.8, 8.888, 8. 8 a 6 and 6.6 b 6, 6.00, 6.0, 6., 6.6 will vary. For example,.,.,. Fractions Decimals or /0, 0., 0% /0, 0., 0% /, 0., % 0% = 0/00 = 0. % = /00 = 0. 0% = 0/00 = 0. /0, 0., 0% /, 0., 0% /, 0.7, 7% 0% = 0/00 = 0. 7% = 7/00 = 0.7 Page of 0

24 Page number Question number 87 0., /0, 0% 0., /0, 0% 0., /0, 0% 0., /0, 0% / of 0,, 0% of 0 / of 80, 0, % of 80 / of, 7, 0% of / of 6,, 7% of 6 0.6, 6/0, 60% 0.7, 7/0, 70% 0.8, 8/0, 80% 0.9, 9/0, 90% /0 of 60, 6, 0% of 60 / of 9,, /% of 9 / of, 8, 0% of 88 They had 8 chocolates each. She received 8 hair clips. 8 people have a season ticket. 0 boys and 68 girls 89 Price in Betty s Item boutique Price in Garbo 90 will vary, check children s accuracy. 9 may vary, for example: kg +.kg + 0g in Max 8kg box 90g + 800g + 780g in Max kg box kg + 980g in Max 8kg box 9 b 8m c Nat s hair is.8cm long d m 90cm 9 Samina.7oz Will 0g Joe.kg Emma 7.87lb. Samina 0g. Will oz. Joe lb. Emma.kg will vary. 9. litres a B holds more b 7 litres more.6 litres a Steve b litres 9 8 will vary, check children s accuracy in conversion. Where should Kate buy? Dress Betty s Shoes 8 Betty s Bag 0 Garbo Necklace 70 7 Betty s Perfume 6 Betty s Page of 0

25 96 a 0cm b 0cm c Accept 8.8cm or 9cm d 0.cm e 8cm 97 Shape : Area = squares/cm², Perimeter = cm Shape : Area = 6 squares/6cm², Perimeter = 6cm Shape : Area = squares/cm², Perimeter = cm Shape : Area = squares/cm², Perimeter = 9cm Shape : Area = 8 squares/8cm², Perimeter = cm 98 : Area = cm² : Area = 0m² : Area = 00cm² or m² : Area = 800cm² or 8m² : Area = 00cm² or m² 6: Area = 00cm² or m² 99 will vary. will vary. will vary. 00 will vary. will vary. 7 cubes a A and D b cube units 0 will vary. will vary. will vary. 0 will vary, check children s accuracy. 0 Ellie s birthday is 6 March Ben s birthday is 9 April Allie s birthday is May Jane s birthday is March 0 9kg or 9000g 0m or 000cm.km or,0m to her office She drives.8km or,80m each day She drives.km or,00m in a five-day week Dad had bought 69 litres or 69,000ml of fuel; litres or,000ml of fuel had been used up Page of 0

26 0 0g or 0.0kg 0. 9 turns, 7 sponges 89g or.89kg a b. seconds.6 seconds Yes No Beth, Izzy and Dev will vary check that all children cross and that the weight for each raft doesn t exceed 70kg 08 a Right angle b c d e f g h i Acute Obtuse Obtuse Acute Obtuse Acute Acute Obtuse 09 a Acute b c d e f g h Acute Obtuse Right angle Right angle Obtuse Acute Obtuse a b 90 c 0 0 a 0 b c 9 Check children s drawings carefully. Page 6 of 0

27 Page number Question number Angle a = 0 a 80 b 0 c 0 d 90 e 0 f 0 g h 0 i 90 j 8 Angle b = Angle c = 90 Angle d = 79 Angle e = Angle f = a Accept any of the following: rhombus, parallelogram, delta or inverted kite, kite, trapezium or irregular quadrilateral. b c d e f a b a b Right-angled triangle Irregular pentagon Irregular hexagon Irregular heptagon Regular hexagon Check children s drawings. Check children s drawings. They are 90 or right angles a b c cm 0cm Page 7 of 0

28 6 a This is a rectangle because every angle is a right angle; it also has opposite sides that are equal length and parallel. b c d e f g h This is not a rectangle because it has more than four sides and the angles are not right angles. This is a rectangle because it has four right angles and opposite sides are parallel and equal in length. This is not a rectangle because its corners are curved and are not right angles. This is not a rectangle because its angles are not right angles. This is not a rectangle because its angles are not right angles and it has no parallel lines. This is not a rectangle because it has more than four sides and it only has two right angles. This is not a rectangle because it only has two right angles. 7 Check children s answers: equilateral triangles, isosceles triangles and 6 scalene. 8 Equilateral all sides are the same length and all angles are equal. Yes Isosceles two sides are equal length, two angles are equal size. Scalene all sides and angles are different sizes. L M K N B C I H A D E J F G G H J I M D C F E L F G E J A D I H B C N K M L N A B K 0 Page 8 of 0

29 Page number Question number 9 A (,) B (,) C (,6) D (7,) E (7,) C C B A D E B A D E 0 C 0 C London C, Athens 8 C A line graph is used to show how something measurable changes over a period of time (or continuous data) such as temperature whereas a bar chart or a bar line graph is used to compare numbers of separate things (or discrete data) such as eye colour. Check children s drawing. Check children s drawing A E B C Check children s drawing. D Page 9 of 0

30 hours 0 minutes or 90 minutes The 9: from Nottingham will vary depending on which journey is chosen to work out the intervals from, for example: Liverpool Lime Street :00 Manchester Piccadilly Stockport Sheffield Chesterfield Nottingham :8 (8 minutes) :0 ( minutes) :09 (67 minutes) :9 (0 minutes) :09 (0 minutes) Check children s answers for understanding of timetable (answers may vary based on which journey the child picks to base the extended service on): For example: a :8 b : c : d 6: e 7:00 f 6: g :0 h :6 i :0 j :0 k : l : m 00:n :0 Check children s answers. Approximately litres : The driver may have stopped for lunch The driver filled up with petrol litres Encourage children to tell a story that shows an understanding of the continuous nature of the graph such as: running water in a bath, temperature in a town across hours or months, speed on a journey. Check children s answers against the graph. Check children s answers against the graph. Page 0 of 0