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P4 maths ca1_2016_word_problems_solutions_modelled_after_ai_tong
1.
P4 Maths CA1
2014 Grade BB- Paper 2 Word Problems – Modelled after Ai Tong Copyright © 2017 by sgtestpaper.com 1 Word Problem Worksheet & Solutions Difficulty: BB- Modelled after Ai Tong P4 Mathematics CA1 2016 Mock exam P6, P5, P4 test papers are based on the latest PSLE question format. The test concepts are modelled after CA1, SA1, CA2, SA2 past year papers set by top schools. The degree of difficulty is the same as top school exam papers. The questions and diagrams are uniquely crafted by graduate teachers. Detailed step-by-step exam solutions with bar models or other diagrams are provided for each questions. The papers are ranked by the degree of difficulty, from AAA which is onerous to AA+, AA, AA-, which are challenging. The next levels are A+, A, A- which are demanding, and they are followed by BBB+, BBB, BBB- which are difficult. Intellectual Property Rights The materials here are published by this site. Parents and tutors can download as many files as possible for personal use or for lessons. If teachers or publishers wish to use our question banks for commercial distribution, please write to us for permission. All rights reserved. No part of these pages may be used for any purpose other than personal use. Any reproduction, modification, storage in a retrieval system or retransmission, without prior written permission, is strictly prohibited other than for personal use. This is regardless whether the content is texts or images or whether the media is electronic, mechanical or otherwise.
2.
P4 Maths CA1
2014 Grade BB- Paper 2 Word Problems – Modelled after Ai Tong Copyright © 2017 by sgtestpaper.com 2 Show your working clearly in the space provided for each question and write your answers in the spaces provided. 35. 4 similar shirts and 1 wallet cost $270 altogether. The price of each shirt cost is twice as much as that of each wallet. Find the cost of a shirt. Ans: ___________________ 36. Mr Gabriel has a large sack of sugar in his store. The sack of sugar weighs between 22 kg and 42 kg. If he filled them in packets of 3 kg each, he will have 2 kg of sugar left. If he filled them into packets of 5 kg each, he will not have any sugar left. How much sugar is in the large sack? Ans: ___________________
3.
P4 Maths CA1
2014 Grade BB- Paper 2 Word Problems – Modelled after Ai Tong Copyright © 2017 by sgtestpaper.com 3 37. The diagram below shows a small rectangle in a large rectangle. What is the area of the shaded part? Ans: ___________________ 38. Cupcakes were sold in boxes of 4 for $5 per box. Ms Tracy required 45 cupcakes for a party. Find the cost for her to buy enough cupcakes for the party. Ans: ___________________
4.
P4 Maths CA1
2014 Grade BB- Paper 2 Word Problems – Modelled after Ai Tong Copyright © 2017 by sgtestpaper.com 4 39. Mr Lucas owns a 96 m2 plot of land which is rectangular in shape. He wants to build a wooden wall around the perimeter of the land. The breadth of the land is 8 m. The cost of building the wall is $50 per meter. Find the amount Mr Lucas needs to pay to build the wall. Ans: ___________________ 40. Mary bought some muffins. After giving 1 3 of the muffins to her friends and 1 9 of them to her relatives, she had 305 muffins left. Find the number of muffins Mary bought. Ans: ___________________
5.
P4 Maths CA1
2014 Grade BB- Paper 2 Word Problems – Modelled after Ai Tong Copyright © 2017 by sgtestpaper.com 5 41. At first, Karen and Lily had a total of $1168. Karen spent $136 on a handphone. Lily earned $184 working part time during the holidays. After that both had the same amount of money. Find the amount Karen had at first. Ans: ___________________ 42. As shown in the figure below is the shape that is formed after a rectangular piece of paper is folded. The figure is not drawn to scale. (a) Find the area of the rectangular piece of paper. (b) Find the perimeter of the rectangular piece of paper. Ans: ___________________
6.
P4 Maths CA1
2014 Grade BB- Paper 2 Word Problems – Modelled after Ai Tong Copyright © 2017 by sgtestpaper.com 6 43. A bookstore had 1024 comic books. During a sales event, every customer who bought 3 comic books was given an additional comic book for free. 158 customers bought 3 comic books each. After that, the remaining comic books were packed equally into 8 boxes. Find the number of comic books in each box. Ans: ___________________
7.
P4 Maths CA1
2014 Grade BB- Paper 2 Word Problems – Modelled after Ai Tong Copyright © 2017 by sgtestpaper.com 7 Answer Key Subject: Primary 4 Maths – Word Problems Paper: CA1 2016 35. $60 36. 35 kg 37. 160 cm2 38. $60 39. $2000 40. 549 muffins 41. $696 42. 42 cm 43. 49
8.
P4 Maths CA1
2014 Grade BB- Paper 2 Word Problems – Modelled after Ai Tong Copyright © 2017 by sgtestpaper.com 8 35. 4 similar shirts and 1 wallet cost $270 altogether. The price of each shirt cost is twice as much as that of each wallet. Find the cost of a shirt. u = cost of a wallet Total cost of wallet and shirts = u + 8u = 270 9u = 270 u = 270 ÷ 9 = $30 Cost of shirt = 2u = 2 x 30 = $60 36. Mr Gabriel has a large sack of sugar in his store. The sack of sugar weighs between 22 kg and 42 kg. If he filled them in packets of 3 kg each, he will have 2 kg of sugar left. If he filled them into packets of 5 kg each, he will not have any sugar left. How much sugar is in the large sack? Multiple of 3 : 21, 24, 27, 30, 33, 36, 39 Multiple of 3 + 2 : 23, 26, 29, 32, 35, 38, 41 Multiple of 5: 25, 30, 35, 40 Total amount of sugar in the sack = 35 kg
9.
P4 Maths CA1
2014 Grade BB- Paper 2 Word Problems – Modelled after Ai Tong Copyright © 2017 by sgtestpaper.com 9 37. The diagram below shows a small rectangle in a large rectangle. What is the area of the shaded part? Area of large rectangle = 12 x 15 = 180 cm2 Height of small rectangle = 12 ÷ 3 = 4 cm Area of small rectangle = 5 x 4 = 20 cm2 Shaded area = 180 – 20 = 160 cm2 38. Cupcakes were sold in boxes of 4 for $5 per box. Ms Tracy required 45 cupcakes for a party. Find the cost for her to buy enough cupcakes for the party. Number of boxes = 45 ÷ 4 = 11 remainder 1, round up ≈ 12 Total cost = 12 x 5 = $60 39. Mr Lucas owns a 96 m2 plot of land which is rectangular in shape. He wants to build a wooden wall around the perimeter of the land. The breadth of the land is 8 m. The cost of building the wall is $50 per meter. Find the amount Mr Lucas needs to pay to build the wall. Length of land = 96 ÷ 8 = 12m Perimeter of land = 2 x (8 + 12) = 2 x 20 = 40m Cost of wall = 40 x 50 = $2000
10.
P4 Maths CA1
2014 Grade BB- Paper 2 Word Problems – Modelled after Ai Tong Copyright © 2017 by sgtestpaper.com 10 40. Mary bought some muffins. After giving 1 3 of the muffins to her friends and 1 9 of them to her relatives, she had 305 muffins left. Find the number of muffins Mary bought. Fraction of remainder muffins = 9 – 3 – 1 = 5 parts 5 parts 305 1 part 305 ÷ 5 = 61 9 parts 61 x 9 = 549 Mary baked 549 muffins 41. At first, Karen and Lily had a total of $1168. Karen spent $136 on a handphone. Lily earned $184 working part time during the holidays. After that both had the same amount of money. Find the amount Karen had at first. u = final amount of money Karen has 2u + 136 – 184 = 1168 2u = 1168 – 136 + 184 = 1120 u = 1120 ÷ 2 = 560 Karen’s initial amount of money = 560 + 136 = $696
11.
P4 Maths CA1
2014 Grade BB- Paper 2 Word Problems – Modelled after Ai Tong Copyright © 2017 by sgtestpaper.com 11 42. As shown in the figure below is the shape that is formed after a rectangular piece of paper is folded. The figure is not drawn to scale. (a) Find the area of the rectangular piece of paper. (b) Find the perimeter of the rectangular piece of paper. (a) Length = 12 + 3 + 3 = 18 cm Area of rectangular piece of paper = 18 x 3 = 54 cm2 (b) Perimeter of piece of paper = 2 x (18 + 3) = 2 x 21 = 42 cm 43. A bookstore had 1024 comic books. During a sales event, every customer who bought 3 comic books was given an additional comic book for free. 158 customers bought 3 comic books each. After that, the remaining comic books were packed equally into 8 boxes. Find the number of comic books in each box. Total comic books distributed out = 158 x (3 + 1) = 632 Number of remaining comic books = 1024 – 632 = 392 Number of comic books per box = 392 ÷ 8 = 49
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