Answers: Year 4 Textbook 3 Pages 4 10

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1 Answers: Year 4 Textbook Pages 4 Page > > < > < < A number between 20 and A number between 1600 and A number between 5650 and A number between 456 and 507 Think. Answers will vary but the two 4-digit numbers should have the digits 2, 4, 0 and 5 with 5 in the ten column. Page > < > < < > A number between 2050 and A number between 678 and A number between 8675 and A number between 1999 and A number between 4980 and A number between 5005 and 505 Think. Answers will vary but some examples are: 2467, 7642, 4267, 2476 Page , 2854, , 55, , 4786, Two numbers between 1645 and Two numbers between 5445 and Two numbers between 2884 and Two numbers between 6950 and Two numbers between 9002 and Two numbers between 811 and 856 Think. Answers will use only 1s and 5s to make three sequentially large numbers. Example: 1111<1115<1155 Page , 20, 200, , 200, 400, , 6700, 6900, , 5500, 5700, = 469, = = 5199, = = 4169, = = 4999, = 4099 Think. No. The tens and units digits would remain 4. Page 8 1. Twenty thousand Twenty-three thousand Twenty-three thousand, one hundred 2. Sixty-thousand Sixty-seven thousand Sixty-seven thousand, five hundred < > < < A number between and A number between and A number between and A number between and Think. 000, Page > > < < > < A number between 000 and A number between and A number between and A number between and A number between and A number between 80 0 and Think. Any 5-digit numbers made with the digits 4, 2, 7, and 5 starting with 4. Page 1. 2,, , 2, 7. 5, 0, 1 4., 2, , 4, ,, 7., 6, , 0, , 6, 5. 2 C C C 1. C Think. Pairs of temperatures with a difference of 8 degrees. Answers Pearson Education Ltd

2 Answers: Year 4 Textbook Pages Page , 4, 1, 5, , 1, 0, 1, 6. 12, 6, 1,, , 7, 2, 8, 14 5., 1, 4, 7, 9 6., 9, 2,, ,, 2, 4, 6 8., 1, 2, 7, , 4,, 2, 1. 12, 9, 2, 11, degrees degrees degrees C C degrees Think. Two temperatures below zero with a difference of 7 degrees. Page Think. 40 Page < > < < > < , 4, , 7 2, , 56, , 4 09, = = = = = = Think. Answers will have a difference of 1. Page , 5, , 6, , 0 7, , 4 6, , 7 25, , 5 99, , 8 84, , 2 77, Think. Answers will vary but each number will have 2 units and 0 tenths. Example: 2 07 Page , 0 5, , 1 6, , 8 7, , 25 6, = = = = = = 8 Think. 0 and 4 0 Page , 1, , 6 9, , 0 58, , 8 65, = = = = = = 48 Think. 4, 5 and 6 Page , 8 9, , 4 5, , 0 68, , 26 75, , 4 9, = = = = 57 Think. 9, 99 Page , 0 5, 0 6, , 4 5, 4 6, , 6 7, 6 8, , 7 6, 7 7, , 1 9, 2 0, , 9, 9 2, , 8 4, 8, , 5 5, 5 4, Think. 19 of them: 0 9, 1 9, 2 9, 9, 4 9, 5 9, 6 9, 7 9, 8 9, 9 0, 9 1, 9 2, 9, 9 4, 9 5, 9 6, 9 7, 9 8, 9 9 Page , 4 0, 4 1, , 6 0, 5 9, , 9 8, 9 9, , 11 1, 11 0, , 8 0, 8 1, , 11 0, 11 1, , 0 15, 0 16, , 4 27, 4 28, A decimal between 6 and 6 8. A decimal between 8 8 and A decimal between and A decimal between 25 4 and 25 4 Think. 2 of them: 0 9, of them: 0 09, 0 19, 0 29, 0 9, 0 49, 0 59, 0 69, 0 79, 0 89, 0 90, 0 91, 0 92, 0 9, 0 94, 0 95, 0 96, 0 97, 0 98, 0 99, 1 09, 1 19, 1 29, 1 9, 1 49, 1 59, 1 69, 1 79, 1 89, 1 90, 1 91, 1 92, 1 9, 1 94, 1 95, 1 96, 1 97, 1 98, 1 99 Answers Pearson Education Ltd

3 Answers: Year 4 Textbook Pages Page , 6, , 18 1, , 1 7, , 2, , 5 8, , 22 2, A 1-decimal place number between 1 6 and A 1-decimal place number between 4 8 and A 1-decimal place number between 27 1 and , 54 6 or , 81, 81 4 or A 1-decimal place number between 12 2 and 22 2 Think. Seven 1-decimal place numbers that round to, e.g. 9 5, 9 6, 9 7 4; 0 4, 0, 0 2, 0 1, 0 0, 0 1, 0 2, 0 and 0 4 round to 0 Page A decimal between 1 and 14. A decimal between 21 2 and A decimal between 54 1 and A decimal between 72 and 7 1. A decimal between 11 1 and A decimal between 12 1 and m bags cm Think. 1-place decimals round to 7. Yes, yes, yes. Page A 2-place decimal between 1 and A 2-place decimal between 72 6 and A 2-place decimal between 6 8 and A 2-place decimal between 92 2 and A 2-place decimal between 12 7 and A 2-place decimal between 54 5 and m kg m Think. 0 2-place decimals (from 6 50 up to 7 49) round to 7. Yes, yes, yes. Page = 40, 4 1 = 4, 4 11 = = 80, 8 1 = 8, 8 11 = = 1, 11 1 = 11, = = 0, 2 = 6, 12 = = 70, 7 2 = 14, 7 12 = = 60, 6 2 = 12, 6 12 = = 90, 9 2 = 18, 9 12 = = 120, 12 2 = 24, = 144 Think. Answers will vary, but some examples are: = 7; = 2 Page = = = = = = = = = = = = = = = = = = = = = = = = = = = = = Think. The units digits are 2, 4, 6, 8, 0, which is also the 2-times table. Page = = = = = = = = = = = = 420 Think. Answers will vary but should show a coherent and efficient method. Page Possible answers are: 2. 4 = = = = = = = = = = = = = 216 Think. Three 2 digit X 1 digit calculations with the same answer Answers Pearson Education Ltd 2014

4 Answers: Year 4 Textbook Pages 27 7 Page = = = = = = = = = = = = Think. Answers will vary, but an example is: 6 x 501 = 006 Page = = = = = = Think = 1794 Page Outputs: 1, 175, 205, inputs: 15, Outputs: 171, 24, inputs: 1, 14, 15. Outputs: 1, 15, inputs: 44, 72, 80 Think. One of the following: = 120, 60 2 = 120, 40 = 120, 0 4 = 120, 24 5 = 120, 20 6 = 120, 15 8 = 120 Page 0 1. Outputs: 270, 402, 498, inputs: 14, Outputs: 28, 476, 59, inputs: 15, 22. Outputs: 16, 22, 26, inputs: 152, 288 Think = 144, 48 = 144, or 16 9 = 144 Page cm² cm². 16 cm² cm² cm² m² m² 8. 2 m² Think. 14 cm Page cm² 2. 2 cm². 22 m² 4. 2 m² m² m² m² Think. Answers will vary but should all be rectangles with an area of 24 cm²: 1 24, 2 12, 8, 4 6 Page cm², 16 cm cm², 22 cm. 28 cm², 22 cm cm², 22 cm 5. 0 cm², 22 cm cm², 26 cm cm², 22 cm Think. Answers will vary but both shapes should have an area of 12 cm² and different perimeters. Page cm², 22 cm 2. 6 cm², 24 cm. 5 cm², 24 cm 4. 6 cm², 0 cm cm², 20 cm 6. 0 cm², 26 cm 7. 8 cm², 0 cm Think. Answers will vary but shapes must have the same area and different perimeters. Page 5 1. Shapes a, e and g are scalene. Shapes b, c, d and h are isosceles. f is equilateral. 2. j is a kite, two pairs of equal, adjacent sides. k is a parallelogram two pairs of equal, opposite sides 4. l is a rectangle two pairs of equal, opposite sides, all rightangles 5. m is an irregular quadrilateral, no sides or angles equal 6. n is a parallelogram two pairs of equal, opposite sides 7. o is a kite, two pairs of equal, adjacent sides 8. p is a rhombus, 4 equal sides, no right-angles Think. Answers will vary but the hole should form an equilateral triangle. Page 6 1. faces vertices edges name a cube b cuboid c cone d cylinder 0 2 e sphere f square-based pyramid g tetrahedron h triangular prism i hexagonal prism Think. The net of a square-based pyramid. Page 7 1. Faces Vertices Edges Polyhedron Tetrahedron Square-based pyramid Cuboid Triangular prism Hexagonal prism Hexagon-based pyramid Euler s special number is always Tetrahedron or triangularbased pyramid. Cube or cuboid 4. True 5. False 6. True 7. False Page 8 Answers Pearson Education Ltd

5 Answers: Year 4 Textbook Pages m 15 cm, 15 m, m 25 cm, 25 m, m 57 cm, 57 m, m 71 cm, 71 m 2. 7 m cm, 7 m, 7 m 7 cm, 7 7 m, 7 m 50 cm, 7 5 m, 7 m 94 cm, 7 94 m. 5 m 2 cm, 5 02 m, 5 m 25 cm, 5 25 m, 5 m 50 cm, 5 5 m, 5 m 87 cm, 5 87 m 4. 9 m 9 cm, 9 09 m, 9 m 0 cm, 9 m, 9 m 69 cm, 9 69 m, 9 m 90 cm, 9 9 m Think. Answers will be between 4 and 5, include 2 decimal places and be correctly ordered. Page m m or 2 40 m m m m or 8 60 m m 7. 1 m 60 cm 8. 2 m 0 cm 9. 5 m 50 cm. 8 m 46 cm m 72 cm 12. m 94 cm m, 2 85 m, 2 1 m and 2 61 m marked correctly on the number line. Think m Page m, 1 4 m, 1 48 m m, 16 m, 76 m. 76 m, 77 m, 98 m m, 2 19 m, 2 81 m, Think. Animal should be between 0.5 and 0.6 m and be labelled in metres. Page m, 61 m, 65 m m, 4 7 m, 4 42 m m, 4 88 m, 4 92 m m, 5 2 m, 5 1 m m, 82 m, 99 m m, 5 6 m, 5 79 m m, 4 25 m, 4 9 m 8. 4 m, 5 m, 58 m Think. Answers will vary but may include the relative place value. Page km (Stonebury) km (Shorely) km (Hanborough) km (Billingston) km (Tonwell) km (Jeddur) Think. Number line showing 0 5 to 0 66 with all 1- and 2-place decimals marked Page 4 1. Any fraction equivalent to Any fraction equivalent to 1. Any fraction equivalent to Any fraction equivalent to 2 5. Any fraction equivalent to Any fraction equivalent to Think. Answers will vary. Three sets of three fractions with a total of 1. Page = = = = = = = = Think. Answers between 50 and 80 hundreths. Page m m. 15 m m m m Think. 20 cm, 40 cm Page m 2. 4 m. 2 6 m m m 6. 5 m m Think. 75 cm Page = 8, = 8, = = 91, = 891, = = 91, = 691, = = 98, = 898, = = 9, = 79, = = 94, = 694, = Think. There are 56 possible answers, but A and C will add to make 8, e.g. 1 and 7, and B and D will have a total of 11, e.g , , , etc. Page = = = = = = = = = = = = Think. There are 48 possible answers, but A and C will add to make 7, e.g. 1 and 6, and B and D will have a total of 11, e.g , ,, , etc. Answers Pearson Education Ltd

10 Answers: Year 4 Textbook Pages 9 95 Page = = = = = = = = = = = = = = = = = = = = = = cm or 2.1 m m or 21 cm. 5.9 and becomes 4, 7.99 becomes 8, 8.94 becomes 9, 2.65 becomes, 5.86 becomes 6, 9.19 becomes Answers will vary Page 94 and Estimates will vary, actual quantity is a) Any answer between 8 and 9 b) Any answer between 0 and 1 c) Any answer between 11 and 12 d) Any answer between 7.5 and , 5., 5.9, Answers will vary but could be 909, 0.9 or Other answers are also possible = , 7.99 = , 8.94 = , 2.65 = , 5.86 = , 9.19 = , 0.9, 0.1, 1.9, 11., 7. 2 blue numbers have 9 as a tenths digit, 7.99 and Estimates may vary but might take account of the previous estimate in question is the odd one out, it rounds down to 0, the others round to Answers Pearson Education Ltd 2014

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