Answers to Scholastic National Curriculum Maths Practice Book for Year 4

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 Numbers coloured in red:,,,, 0,,,,, 0,, a,, b,, c All the numbers that are multiples of are also multiples of :,,,, 0,,,,, 0,, Numbers coloured in blue:,,,,,, 9,,, 0,, a,, 0 b,, Numbers coloured in yellow: 9,,,,,,,,, 90, 99 a 0 b,, c,, a,, b 900, 0, c 9,, g g a 0, 00, 0 b,,, c,,, ml ml Page of 9

2 Page number Question number 9,,,, a b 0 c d 0 e 0 f Cyclist : 0m Cyclist : m Cyclist : 0m Cyclist : 90m 0 a,, 0,, b 0,,,, c, 0,,, a b c d a b a 9, 9 b, c 99, 99 d 00, 00 a b c 000 d 0 e 00 f 000 g h 99 i j k l Page of 9

3 a No b Yes c Yes d No e No f Yes b < c > d < 9, 9, 9, 9, 9, 9, 9 a < b > c < d > a kg b 00g c Accept any answer greater than 000kg.0,.0,.0,.0,.0,.0,.0,.0 a 9 b 0 c 0 d 00 e 00 f 90 g h 90 a Seventy-two b Six hundred and eight c Eight hundred and twenty d Thirty-five e Four thousand, two hundred and fifty f Two thousand, four hundred and five Page of 9

4 a II b VII c XIX d XI e XXII f LII g IL h CI I, VI, VIII, XI a VIII b X c L d XC e LVIII f LIV = IV = VI = XII = XVIII = XXV 90 = XC 0 = CVII b will vary. For example, V + V c will vary. For example, XXX + XX d will vary. For example, L + L e will vary. For example, CD + C f will vary. For example, D + D a b 0 c bigger d smaller Number Page of 9

5 9 a 0km b c d e f 0 0km 00km 0km 90km 90km Accept any number above a 99 b 0 c 000 Town Distance Nearest 0 miles York 09 miles 0 miles Norwich miles 0 miles Leeds 9 miles 00 miles Cardiff miles 0 miles Brighton miles 0 miles Glasgow 0 miles 0 miles New York miles 0 miles My -digit number Round to nearest 00 Round to nearest Page of 9

6 a 0cm b c d a b c 0cm 00cm 0cm 00ml 00ml 00ml a 0, cm b 0, 0ml c 00, d e f 00, 9m 00, 9m 000, 0g 00, 0, 00, 0, 00, 0 a 00 b c 00 d 00 e a 000 b c 0 d 00 e a, : + 9 b,, : c,,, 9: + a b Name will vary. will vary. Length (km) Nearest 0km Nearest 00km Nearest 000km Amazon Zaire Lena Nile Page of 9

7 a.,.,.9 b g, 9g, g c 0,, 9,,, 9,,,,, 9; Yes a 09 b 00 c,0 0, 9, 9, 9, 9, 0, 0, 0 a b 0 c 0 d 0 a 9 b 0 c d a b 9 c 09 d a b 0 c 0 d 0 a b 9 c d a b c d a 9 b c d e 9 f 9 g 0 h Add 0 and subtract ; Because = so the ones can t end in will vary. For example, and Page of 9

8 Page number Question number 9 0 Question Jottings Answer Check = = = = = = = = = = = = 00 Question Jottings Answer Check = = = = = = = = = = = = 000 a 0 b c 0 d e 9 f 90 g h 0 i j k 9 l 00 m n o a 0 b c d a 9 b c d e f 9 Page of 9

9 a b c d 9 e 9 f a b 9 c 9 d 9 e f will vary. will vary. a b c 9 d e 9 a 0 0 b 999 c d 9 e will vary. For example: Question Estimate of sum Actual total Check = = + 0 = = = = Numbers Number sentence and answer Estimate using rounding Check using an inverse operation, + = = = 0, + = = = 0, + = = = 0, = = = 90, + = = = 0, + = = = 0, + = = = 0, + = = = 0, + = = = 0, + = = = 0 99, = = = 00 Page 9 of 9

10 . +. =.. +. = = =.. +. =.. +. =.. +. = =... =.0.. =... = = 0... =... =.9.. =...99 =.. +. =.. +. = = = =.. +. = =... = 0... =...99 = = 0... =... = =. a (Model plane. and Football magazine 0p). b c.00 Note variations have been given in case different images are chosen; accept answer so long as calculation is correct. (DVD.0 and middle box.) p (DVD.0 and football image 0p).0 d (Model plane. and Football magazine 0p).90 a.00 b.. a.0 b c 0. a.0. or p b p or. c. or p will vary. For example, shiny conkers (0g) + slices of slippery snake ( g) + cup of stinging nettles (0g) + 0 hairy spiders ( g) 90m 0cm.0m cm Page 0 of 9

11 0.0.km ml people cm 00 people 9 p or. 0.9 cm or.m = = = = = 0 0 = 0 9 = 9 = 9 = = 0 0 = = 9 = 9 = 9 = Page of 9

12 The -times table The 9-times table will vary. Children should notice that they add up to 9: = + = Page of 9

13 a b 0 c d 0 e 00 f 0 0p or.0 0p or.0 packets weeks a b = = = = 0 = 9 = 99 = 9 = 0 9 = 9 9 = = 9 = = 9 = = = 9 = 0 9 = 99 = 0 = a b a b 0 a b 0 will vary. Child should tick Add the th multiple of 0 to the th multiple of Page of 9

14 9,,,,,,,,, 00 0, 0,, 0, a b 9 c d e a b c 0 d e 0 f 9 g 0 h i 0 j k l 9 a 90kg b 0p or.0 = and = = and = = 0 and = 0 0 = 00 and = 00 = and = = and 9 = will vary. a = = = b = = 0 Page of 9

15 a = 9, = 9, 9 =, 9 = b =, =, =, = c 9 =, 9 =, 9 =, = 9 d 9 =, 9 =, = 9, 9 = e =, =, =, = a 9 b c d a b c d will vary. Page of 9

16 Page number Question number 9 a 0 b 900 c 0 d a b c d e 0 f g h i j a 0 b 0 c 0 d 0 e 0 f 0 0g 00m 0 Page of 9

17 Answer will be the same as the chosen number. a b 0 c d e f a = 9 b = c = d = a will vary. For example, = b 0 c 9 d a b c d will vary. a b c d e or 0 or or 0 or 9 Less than Red: 0.,, 0,,, 0.,, 0.0 More than Yellow: 0,.,,0.,,.,, 9 0,, Left Blank: 0. Page of 9

18 Page number 0 Question number 0 or a b c d e f, 9,,, ensure that the numerator (top number) is a third of the denominator (bottom number) Divide the numerator by the denominator for each fraction and it will give you the same decimal answer. OR change both fractions so they have a common denominator to allow you to compare Page of 9

19 a b c d a b c a b c d e f g h a b c d e f g h = + = + = + = + = + = + = = + = + = 9 or or 0 = = = 0 = 0 = 0 = 00 = 00 = 0 00 = 0 0 = Page 9 of 9

20 kg 0.0m = m.m = m four tenths = 0. 0 = 0..m = m 9.m = 9 m one quarter = 0. one hundredth = = = 0 00 = = 0 00.kg = kg.kg = kg. = 0 0.kg = kg.kg = kg. = 0. =. = Hundredths square labelled from a Check children s drawings coloured red b c d Check children s drawings 0 coloured blue Check children s drawings coloured yellow Check children s drawings o coloured green a 0 = 0 00 = 0. b = 0 = 0 00 = 0. c = 0 = 0 00 = 0. a 0. b 0. c. 0.0, 0., 0., 0. Page 0 of 9

21 -9 Amount m m.m 00km 0km km, g 0g 0.g 9000p 900p 90p Amount g g.g 000p 00p 0p 0g g.g 00m 0m m a 0. b 9. c. d.0 e.9 f. g 0. h 0. i 0. j 0.9 = 0. 0 =. 00 = 000 = 0 a. is 00 times smaller than b is 0 times smaller than 0 c d e f g 0 of =. 0 of =. 00 of =. 00 of of = 0..0 was spent on ingredients. h Peter saved.. i Oscar walked.m;.km. 0 =. 0 =. 0 = 0.,000 = 0 Page of 9

22 90 a b 0 c 0 d a b c d e hours 0 litres m hours cm f.00 g h hours litres,,, 0 Blackpool Tower = m Big Ben = 9m London Eye = m Humber Bridge = m kg kg.0kg.kg.0kg kg cm.0m cm.m.m.9m millimetres = centimetre a b 0. c 00 d 0. e 00 f 0 g 000 h 00 i 0 j. 00 centimetres = metre 000 metres = kilometre 9 The shortest distance: 0cm > m > m > 00cm > 0cm > cm > 0cm = 0cm Page of 9

23 9 A = cm 9 m 9. B = 900m C = 0,000m D = cm E = m F = m (.) (.) =. =.m² Check children s drawings. a b c d 0.kg 0.kg 0.kg.kg 9 will vary; check children s measurements. 99 will vary Page of 9

24 Page number Question number seconds 0 minutes 0 minutes 0 a. b 0. c.0 a. b 0. or p 0.0m 0cm or 0.m 0cm or.m cm 0 00cm or m rulers m 0 trapezium parallelogram rhombus The two rhombuses and the square should be ticked. The two rhombuses are also parallelograms, since they have two pairs of parallel sides and opposite sides and angles equal. 0 Check children s drawings. The square should also be ticked since squares are both parallelograms and rhombuses: two pairs of parallel sides and all sides and angles equal. will vary. Page of 9

25 0 Right-angled triangle Not a right-angled triangle Isosceles triangle F B, C, E Not an isosceles triangle A, D a A scalene triangle does not have any sides or angles that are equal. b An equilateral triangle has all its sides and angles equal. 0 Check children s drawings. will vary. 0 Regular Irregular Irregular Irregular Irregular Regular Regular Irregular Page of 9

26 09 Shape Regular or irregular shape? Name of shape Number of lines of symmetry Regular Square Regular Regular hexagon Regular Equilateral triangle Regular Regular pentagon Irregular Trapezium Irregular Irregular hexagon Irregular Oblong or rectangle Irregular Irregular pentagon 0 9 Irregular Irregular quadrilateral or inverted kite 0 Irregular Parallelogram 0 Irregular Irregular hexagon Irregular Irregular pentagon Page of 9

27 0 Check children s drawings. Right angle would fit after angle labelled. Half a right angle fits after angle labelled. Half of 0 fits after angle labelled. Check children s drawings. Check children s drawings. Check children s drawings. Page of 9

28 will vary. a 0 Check children s drawings. B A 9 0 b Shape A: (, ); (, ); (,); (, ) Shape B: (0, ); (0, ); (, ); (, ) will vary; check children s drawings. will vary; check children s drawings. will vary; check children s drawings. east, south or south, east west, north or north, west north, east or east, north will vary. 9 Right Left Up Down Page of 9

29 0 00 Wednesday Thursday 0 will vary. 9 Number of customers at the lunch counter Monday Tuesday Wednesday Thursday Friday Saturday Sunday Saturday Wednesday Tuesday and Saturday.kg.kg Birth to month and month to months: both 0.9kg months to months: 0.kg.9kg will vary. Check children s drawing. Week of May May Week beginning May May cm Children should have added symbols that show 0 people. Check children s drawing of pictogram. Check children s drawing of graph. Page 9 of 9