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 4digit 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 Twentythree thousand Twentythree thousand, one hundred 2. Sixtythousand Sixtyseven thousand Sixtyseven 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 5digit 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 1decimal place number between 1 6 and A 1decimal place number between 4 8 and A 1decimal place number between 27 1 and , 54 6 or , 81, 81 4 or A 1decimal place number between 12 2 and 22 2 Think. Seven 1decimal 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. 1place decimals round to 7. Yes, yes, yes. Page A 2place decimal between 1 and A 2place decimal between 72 6 and A 2place decimal between 6 8 and A 2place decimal between 92 2 and A 2place decimal between 12 7 and A 2place decimal between 54 5 and m kg m Think. 0 2place 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 2times 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 rightangles 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 squarebased pyramid g tetrahedron h triangular prism i hexagonal prism Think. The net of a squarebased pyramid. Page 7 1. Faces Vertices Edges Polyhedron Tetrahedron Squarebased pyramid Cuboid Triangular prism Hexagonal prism Hexagonbased 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 2place 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
6 Answers: Year 4 Textbook Pages Page = = = = = = = = = = = = 25 Think. 164, 170, 200 Page = = = = = = = = = = = = m Think. Answers will vary but should be hops, the first of 1 digit, the second a multiple of, and the third a multiple of 0. The number reached must be 00. Page = = = = = = = = cm cm Think. 144, 72, 48, 6, 24; = 288 Page cm² cm². 54 cm² cm² When multiplying sides by 2, multiply the area by 4. When multiplying sides by, multiply the area by 9. When multiplying sides by 4, multiply the area by 16. (Multiply the area by the number squared.) Page 5 1. a 6 cm² b 6 cm² c 65 cm² d 6 cm² e 28 cm² f 84 cm² 2. a 144 cm² b 144 cm² c 260 cm² d 144 cm² e 112 cm² f 6 cm². Four times 4. When you double the sides the area is multiplied by 4. Page a 64 cm² b 72 cm² c 72 cm² d 27 5 cm² e 8 5 cm² f 6 cm² 2. a 256 cm² b 288 cm² c 288 cm² d 1 cm² e 154 cm² f 252 cm². When you double the sides the area is multiplied by 4. Think. 52 cm², 208 cm². Yes. Page arrangements ABC, ACB 4. BAC, BCA 5. CAB, CBA 6. 6 Number of counters Number of arrangements Think. Check children make their arrangements systematically. Page ABCD, ABDC 2. ACBD, ACDB. ADBC, ADCB 4. BACD, BADC, BCAD, BCDA, BDAC, BDCA 5. CABD, CADB, CBAD, CBDA, CDAB, CDBA, DABC, DACB, DBAC, DBCA, DCAB, DCBA Number of counters Number of arrangements Pattern for number of arrangements Answers will vary. Page ways  ABCD, ABDC, ACBD, ACDB, ADBC, ADCB, BACD, BADC, BCAD, BCDA, BDCA, BDAC, CABD, CADB, CBAD, CBDA, CDAB, CDBA, DABC, DACB, DBAC, DBCA, DCAB, DCBA. Completed table. 4. Yes , 720 Think Answers Pearson Education Ltd
7 Answers: Year 4 Textbook Pages Page 58 Questions should be answered using column addition Think = 5290 or = 6290 or = 7290 or = 8290 or = Page = = = = = = = = = = = = Think = 542 Page = = = = = = = = p Think. Answers will vary, but an example is: Gloves costing Socks Scarf 11 = 00 Page p Think. Answers will vary, but an example is: Doll Sweets 76p + Book 6 18 = Page 62 Questions should be answered using column addition Think Sentences will vary. Page = = = = = = = = 168 Think. Answers will vary but should demonstrate an understanding of the two methods. Page = = = = = = = = g Think. There are a range of possible answers, e.g. A could be 5, B could be 4, C could be 6 (ABC = 546, CBA = 645). A could be 8, B could be 4, C could be (ABC = 84, CBA = 48). A could be 9, B could be 4, C could be 2 (ABC = 942, CBA = 249). Page Think. Answers will vary but will be between 4 80 and Page Think. 2 11, 22, 4, 5 44, 6 55, 7 66, 8 77, 9 88, Page , yes Think. Answers will vary but will lie between 17 and.0. Page (2, 1), (5, 1), (2, 5) 2. (1, 1), (4, 1), (6, 6), (, 6). (Isosceles) triangle 4. Rectangle 5. (Isosceles) trapezium 6. Pentagon 7. A pentagon with one vertical line of symmetry 8. An irregular octagon with two right angles Think. If plotted answers should make the indicated shape Page (1, 2), (4, 2) (4, 4) (1, 4) 2. (5, 2), (8, 2) (8, 4) (5, 4). (5, ), (8, ) (8, 5) (5, 5) 4. (2, 0), (4, 0), (, ) 5. (1, 0), (, 0), (2, ) 6. (, ), (6, ), (, 5) 7. (, 1), (6, 1), (, ) Think. In the positive quadrant (4, ) and (4, 6). Other answers with negative coordinates are possible Answers Pearson Education Ltd
8 Answers: Year 4 Textbook Pages Page (6, 6) (8, 6) (8, 9) 2. (9, 7) (14, 7) (9, 8) (14, 8). (0, ) (2, 1) (4, ) (2, 5) 4. (0, 1) (1, 0) (, 1) (, 2) (0, ) 5. (7, 7) (9, 6) (11, 6) (12, 7) (11, 9) (9, 9) Think. Answers will vary but will result in a total move of squares to the right and 5 down. Page Film 2. 0 minutes. Film minutes Bar chart showing 8 Comedy films, 4 Horror, 6 Children s and 2 Drama Think. 9, sparrows and blackbirds, 27 Page min 0 s. min Think squares Page :00 am and 7:00 pm 2. 2:00 pm and 4:00 pm. 12:00 pm and 6:00 pm 4. 1:00 pm and 5:00 pm C C 7. 2 C C 9. 8 C. C Think. about 22 C Page :00 am, 6:00 am, 12 midnight 2. 8:00 am, :00 pm. 12 noon, 6:00 pm 4. :00 am, 8:00 pm, 5. 2:00 pm 6. about 1:00 pm, 4:00 pm 7. 2:00 pm 8. 4:00 am, 6:00 am, 12 midnight 9. 11:00 am, 7:00 pm. C C C 1. C C C C C C C C C Think. Answers will vary but graph should have typical features (e.g. labels, etc) and a sensible temperature pattern Page :00 pm and 6:00 pm 2. about 9:00 am and 8:00 pm. 8:00 am and about 9:00 pm 4. about 11:00 am and about 7:00 pm 5. C C C C 9. 4 C. 6 C 11. about 9:0 pm 12. It might have, but we do not have the information. Think. Answers will vary. Page miles 2. Reykjavik, Moscow and Cairo. Reykjavik, Moscow, Cairo and Kuwait 4. Reykjavik, Moscow, Cairo, Kuwait and Abu Dhabi 5. Reykjavik, Moscow, Cairo, Kuwait, Abu Dhabi and New York 6. Reykjavik, Moscow, Cairo, Kuwait, Abu Dhabi, New York and Mumbai 7. Reykjavik, Moscow, Cairo, Kuwait, Abu Dhabi, New York, Mumbai and Panama Think. No Page tickets to India cost 508 less than 4 tickets to Australia = = = = = = = = 276 Think = 2025 Page 78 Think. Questions 4, 5, 9 and will be more than 000. Questions 1, 2,, 6, 7 and 8 will be less than = = = = = = = = = = 965 Page = = = 6 6 or 1 whole = 6 6 or 1 whole = = = 8 8 or 1 whole = = 4 4 or 1 whole = = or Think. Answers will vary. Page = 9 8 or = 11 8 or = 14 8 or = 7 5 or = 6 5 or = 8 5 or = 14 or = 12 or = 17 or 1 7 Think. Answers should include two new additions with totals less than 1 and two new with totals more than 1 Answers Pearson Education Ltd
9 Answers: Year 4 Textbook Pages Page = = 4. 4 = = = = , 0 42, 0 007, 00 Think. Answers will vary, but the numbers that come out of the third should be the same as the numbers that go in the first. Page = = = = = = , 0 075, 90, 6, 00 Think. 5, 15 Page Think. 69, 756. The explanation might include something like x 6 and 2 x 6 Page 84 Questions should be answered using the grid method Think. Answers will vary, children should notice that their x 12 answer is double their x 6 answer Page 85 Questions should be answered using the grid method Think = 25, 15 2 = 45 Page = = = = = = = = = = Think Page = = = = = = = 125 Think. 25 Page 88 Think. Question 1 has the smallest answer, Question 6 the largest = = = = = = = = Page Think. 6, 24, kg, 14 kg kg, 27 kg kg, 27 kg 1. 7 kg, 5 kg kg, 0 kg kg, 18 kg Page of 80 g = 56 g of 12 km = 9 km of 00 ml = 250 ml of 18 m = 14 m of 40 l = 15 l of 6 kg = 18 kg of 18 g = 12 g of 24 cm = 16 cm of 6 l = 45 l Think. Answers will vary. Page Think. Answers will vary. Page 92 Think. Q has the largest answer. Q11 has the smallest = = = = = = = = = = = = 575 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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