Word Problem Worksheet & Solutions Difficulty: AA- Modelled after Nan Hua P5 Mathematics CA1 2016

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1 Word Problem Worksheet & Solutions Difficulty: AA- Modelled after Nan Hua P5 Mathematics CA 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. Copyright 2017 by sgtestpaper.com 1

2 Show your working clearly in the space provided for each question and write your answers in the spaces provided. 6. Jasmine spent 8 10 of her allowance to buy 10 oranges and 10 peaches. One orange cost thrice as much as a peach. Find the number of peaches Jasmine bought with the rest of her money? Ans: 7. George s nephew is 20 years younger than him. George is 30 years old now. In how many years time will George be twice as old as his nephew? Ans: Copyright 2017 by sgtestpaper.com 2

3 8. Bag A contained 304 picture cards while Bag B contained 96 picture cards. After Jason added an equal number of picture cards to each box, Bag A contained thrice as many picture cards as Bag B. Find the number of picture cards Jason added to each bag. Ans: 9. Cheryl took 4 days to make a total of 168 origami paper planes. Each day she made 16 paper planes more than the day before. Find the number of paper planes she made on the first day. Ans: Copyright 2017 by sgtestpaper.com 3

4 10. DLH Shipping Company ships 95 cups a day. USP Shipping Company ships 68 cups a day. The total shipment quantity is cups. Find the number of cups that will be shipped by USP Shipping Company. Ans: 11. Two different sugar products are sold at a store. Nancy needs to buy 8 kg of sugar. Find the amount of money she would save if she buys Brand B instead of Brand A. Brand A Pure Cane Sugar 1 kg at $1.90 per packet Brand B Pure Cane Sugar 2 kg at $5.50 per packet Buy 1 get 1 free Ans: Copyright 2017 by sgtestpaper.com 4

5 12. Lionel shipped 280 packages to Thomas. For every package successfully delivered, Thomas would have to pay Lionel $12. For every damaged package, Lionel would have to compensate Thomas $35. Thomas paid a total of $2655. Find the number of parcels damaged. Ans: 13. Eddy has some stickers. If he gives each of his friends 57 stickers, he will have no remaining stickers. If he gives each of them 51 stickers, he will have a remainder of 36 stickers. Find the number of stickers Eddy has. Ans: Copyright 2017 by sgtestpaper.com 5

6 14. A washing machine cost $660 more than a fan. 6 such fans cost as much as two mircrowave ovens. Find the cost of 4 washing machines, if each oven cost $180. Ans: 15. Jane gave 4/15 of her pay to her parents. She spent 2/15 of her pay on transport and 1/5 of it on food. She saved the remaining $960 of her pay. (a) Find the fraction of her pay she saved. (Give your answer in the simplest form.) (b) Find the amount of money she gave her parents. (c) Find the amount of money she spent on food and transport. Ans: (a) (b) (c) Copyright 2017 by sgtestpaper.com 6

7 16. Samantha sells gold fishes and guppies at her shop. After selling 1 of the gold fishes 3 she had 400 gold fishes left. She sold 2 times as many guppies as gold fishes. At the end, she had a total of 550 gold fishes and guppies left. (a) (b) (c) Find the number of guppies she sold. Find the number of guppies she had at first. Find the fraction of guppies that were left. (Give your answer in the simplest form.) Ans: (a) (b) (c) 17. As shown in figure below, a number of identical rectangular tiles are arranged to form a big rectangle. The length of each tile is 32 cm. What is the area of the shaded part? Ans: Copyright 2017 by sgtestpaper.com 7

8 18. Tanya baked 152 muffins every day. Jasmine started baking three days later. Jasmine baked 190 muffins each day. Find the number of muffins Tanya baked when Jasmine baked 494 more muffins than Tanya. Ans: Copyright 2017 by sgtestpaper.com 8

9 Answer Key Verified by Subject: Primary 5 Maths Word Problem Solutions Paper: CA Grade: AA years time $ $ (a) 2 5 (b) $640 (c) $ (a) 200 (b) 550 (c) cm Copyright 2017 by sgtestpaper.com 9

10 Show your working clearly in the space provided for each question and write your answers in the spaces provided. 6. Fraction Jasmine spent 8 10 of her allowance to buy 10 oranges and 10 peaches. One orange cost thrice as much as a peach. Find the number of peaches Jasmine bought with the rest of her money? Cost of 1 peach = u Cost of 1 orange = 3u Cost of 10 peaches = 10u Cost of 10 oranges = 10 x 3u = 30u 8 8 parts = 30u + 10u = 40u parts = 40u 4 = 10u 10 Number of peaches Jasmine can buy with 10u = 10u u = 10 Ans: 10 Copyright 2017 by sgtestpaper.com 10

11 7. Whole Numbers George s nephew is 20 years younger than him. George is 30 years old now. In how many years time will George be twice as old as his nephew? Let difference in age = u = 20 Age of George when his age is twice of his niece = 2u = 2 x 20 = 40 Number of years time = = 10 years time Ans: 10 years time Copyright 2017 by sgtestpaper.com 11

12 8. Whole Numbers Bag A contained 304 picture cards while Bag B contained 96 picture cards. After Jason added an equal number of picture cards to each box, Bag A contained thrice as many picture cards as Bag B. Find the number of picture cards Jason added to each bag. Difference between Bag A and B picture cards = = 208 2u u = = 104 Bag A picture cards = 3u = 104 x 3 = 312 Number of picture cards added = = 8 Ans: 8 Copyright 2017 by sgtestpaper.com 12

13 9. Whole Numbers - Patterns Cheryl took 4 days to make a total of 168 origami paper planes. Each day she made 16 paper planes more than the day before. Find the number of paper planes she made on the first day. Total increments = 16 x 6 = 96 Let u = number of paper planes made on first day 4u = = 72 u = 72 4 = 18 Ans: 18 Copyright 2017 by sgtestpaper.com 13

14 10. Whole Numbers DLH Shipping Company ships 95 cups a day. USP Shipping Company ships 68 cups a day. The total shipment quantity is cups. Find the number of cups that will be shipped by USP Shipping Company. Total cups shipped per day = = 163 Number of days to ship cups = = 182 days Number of cups shipped by USP in 182 days = 182 x 68 = Ans: Copyright 2017 by sgtestpaper.com 14

15 11. Measurement - Moneys Two different sugar products are sold at a store. Nancy needs to buy 8 kg of sugar. Find the amount of money she would save if she buys Brand B instead of Brand A. Brand A Pure Cane Sugar 1 kg at $1.90 per packet Brand B Pure Cane Sugar 2 kg at $5.50 per packet Buy 1 get 1 free Cost 8 kg of Brand A sugar = 8 x 1.90 = $15.20 Cost of 8 kg of Brand B sugar = cost of 4 kg of Brand B sugar as another 4 kg is free = 2 x 5.50 = $11.00 Savings = $15.20 $11.00 = $4.20 Ans: $4.20 Copyright 2017 by sgtestpaper.com 15

16 12. Measurements - Money Lionel shipped 280 packages to Thomas. For every package successfully delivered, Thomas would have to pay Lionel $12. For every damaged package, Lionel would have to compensate Thomas $35. Thomas paid a total of $2655. Find the number of parcels damaged. Cost of safely delivering 280 packages = 280 x 12 = $3360 Loss of income for every damaged package = = $47 Total loss of income = = $705 Number of packages damaged = = 15 Ans: 15 Copyright 2017 by sgtestpaper.com 16

17 13. Algebra Eddy has some stickers. If he gives each of his friends 57 stickers, he will have no remaining stickers. If he gives each of them 51 stickers, he will have a remainder of 36 stickers. Find the number of stickers Eddy has. Let u = number of friends Number of stickers given if he gives 57 stickers each = Number of stickers given if he gives 51 stickers each + remainder of 36 stickers 57u = 51u u 51u = 36 6u = 36 u = 36 6 = 6 57u = 57 x 6 = 342 Ans: 342 Copyright 2017 by sgtestpaper.com 17

18 14. Measurements - Money A washing machine cost $660 more than a fan. 6 such fans cost as much as two mircrowave ovens. Find the cost of 4 washing machines, if each oven cost $180. Let cost of 1 fan = u Cost of 6 fan = cost of 2 microwave oven Cost of 1 microwave oven = $180 6u = 2 x 180 u = Cost of 1 fan = u = = 60 Cost of 1 washing machine = = 720 Cost of 4 washing machines = 720 x 4 = $2880 Ans: $2880 Copyright 2017 by sgtestpaper.com 18

19 15. Fractions Jane gave 4/15 of her pay to her parents. She spent 2/15 of her pay on transport and 1/5 of it on food. She saved the remaining $960 of her pay. (a) Find the fraction of her pay she saved. (Give your answer in the simplest form.) (b) Find the amount of money she gave her parents. (c) Find the amount of money she spent on food and transport. (a) Fraction of salary she saved = = = 6 15 = = = 480 x 5 = $2400 Salary = $2400 (b) Amount she gave her parents = 4 15 x 2400 = $640 (c) Fraction she spend on food and transport = = 5 15 = 1 3 Amount she spend on food and transport = 1 3 x 2400 = $800 Ans: (a) 2 5 (b) $640 (c) $800 Copyright 2017 by sgtestpaper.com 19

20 16. Fractions Samantha sells gold fishes and guppies at her shop. After selling 1 of the gold fishes 3 she had 400 gold fishes left. She sold 2 times as many guppies as gold fishes. At the end, she had a total of 550 gold fishes and guppies left. (a) (b) (c) Find the number of guppies she sold. Find the number of guppies she had at first. Find the fraction of guppies that were left. (Give your answer in the simplest form.) Fraction of gold fishes left = = 2 3 Total number of gold fishes = = 400 x 3 2 = 600 Number of gold fishes sold = 1 3 x 600 = 200 Number of guppies sold = 200 x 2 = 400 Number of guppies left = = 150 Number of guppies at first = = 550 Fraction of guppies left = = 3 11 Ans: (a) 200 (b) 550 (c) 3 11 Copyright 2017 by sgtestpaper.com 20

21 17. Measurements - Area As shown in figure below, a number of identical rectangular tiles are arranged to form a big rectangle. The length of each tile is 32 cm. What is the area of the shaded part? 4 breadths = 2 lengths 1 breadth = 1 2 length = 1 2 x 32 = 16 cm Difference between length and breadth = =16 cm Area of shaded square = 16 x 16 = 256 cm 2 Ans: 256 cm 2 Copyright 2017 by sgtestpaper.com 21

22 18. Algebra Tanya baked 152 muffins every day. Jasmine started baking three days later. Jasmine baked 190 muffins each day. Find the number of muffins Tanya baked when Jasmine baked 494 more muffins than Tanya. Number of muffins Tanya baked in first 3 days = 152 x 3 = 456 Number of days after 3 days = u Total number of muffins baked by Tanya = 152u Total number of muffins baked by Jasmine = 190u Jasmine muffins are more than Tanya s by = u = 152u u 152u = u = 950 u = = 25 Total number of muffins baked by Tanya = 152 x = 4256 Ans: 4256 Copyright 2017 by sgtestpaper.com 22