Word Problem Worksheet & Solutions Difficulty: AA Modelled after Rosyth P5 Mathematics CA1 2015

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1 Word Problem Worksheet & Solutions Difficulty: AA Modelled after Rosyth 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 2016 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. Mdm Zena who is 38 years old has a 6 years old son. Find the number of years before Mdm Zena is five times as old as her son? Ans: 7. Square A has the same perimeter as Rectangle B. What is the area of Square A. Ans: Copyright 2016 by sgtestpaper.com 2

3 8. Winnie plans to install blinking coloured light bulbs in her room. She chooses to use yellow and red colours. The yellow bulbs blink every 4 seconds while red bulbs blink every 6 seconds. (a) (b) Find the number of times the red bulbs blink in a minute. Find the number of times the yellow and red bulbs blink at the same time in a minute? Ans: 9. Three girls Rachel, Peggy and Sofia have some stickers. Rachel has three times as many stickers as Peggy. The total number of Rachel s and Peggy s stickers is four times that of Sofia s. Rachel has 124 more stickers than Sofia. What is the total number of stickers of the three girls? Ans: Copyright 2016 by sgtestpaper.com 3

4 10. Jackson went to a department store. He found a belt that cost $20 more than a jockey cap and $7 less than a pair of shoes. He bought 2 belts, 1 jockey cap and 3 pair of shoes. The total cost was $343. Find the cost of each belt. Ans: scissors and 3 staplers cost $66. 7 scissors and 2 staplers cost $49. What is the total cost of 1 scissors and 1 stapler? Ans: Copyright 2016 by sgtestpaper.com 4

5 12. During football training, poles were placed from one end to the other end of a field. The poles were equally spaced out at 100 cm apart on the field. The field was 100 m long. The width of the poles was insignificant and did not affect the distance covered. (a) What is the total number of poles required for the training. (b) On another day of training, 20 flag poles were lost. As a result, the remaining poles were rearranged from one end to the other end of the field at a new equal spacing. Find out the new spacing between 2 poles? Ans: (a) (b) 13. Jackie has a piece of rope and a bamboo stick. Both were of equal length. The length of the remaining rope was 4 times as long as the remaining bamboo stick, after Jackie cut 5.3 cm from the rope and 41.3 cm from the bamboo stick. Find out the total length of the rope and bamboo stick at first. Ans: Copyright 2016 by sgtestpaper.com 5

6 Answer Key Subject: Primary 5 Maths Word Problems Paper: CA years cm $ $ (a) 101 (b) 125 cm cm Copyright 2016 by sgtestpaper.com 6

7 Show your working clearly in the space provided for each question and write your answers in the spaces provided. 6. Whole Numbers Mdm Zena who is 38 years old has a 6 years old son. Find the number of years before Mdm Zena is five times as old as her son? u = Age of son Difference in age = 4u = 38 6 = 32 u = 32 4 = 8 Zena s age will be = 8 x 5 = = 2 In 2 years time, Zena will be 5 times as old as her son. Ans: 2 years Copyright 2016 by sgtestpaper.com 7

8 7. Measurement Area, Perimeter Square A has the same perimeter as Rectangle B. What is the area of Square A. Perimeter of rectangle B = 2 x ( ) = 192 cm Length of Square A = = 48 cm Area of Square A = 48 x 48 = 2304 cm 2 Ans: 2304 cm 2 Copyright 2016 by sgtestpaper.com 8

9 8. Whole Number - Patterns Winnie plans to install blinking coloured light bulbs in her room. She chooses to use yellow and red colours. The yellow bulbs blink every 4 seconds while red bulbs blink every 6 seconds. (a) (b) Find the number of times the red bulbs blink in a minute. Find the number of times the yellow and red bulbs blink at the same time in a minute? a) Number of times red bulbs blink in a minute = 60 6 = 10 b) LCM of 4 and 6 = 12, it blinks at same time every 12 secs Yellow bulb blinks on 4,8,12,16,20,24,28,32,36,40,44,48,52,56,60 Red bulb blinks on 6,12,18,24,30,36,42,48,54,60 Number of times both bulbs blink at the same time in a minute = 5 Ans: 5 Copyright 2016 by sgtestpaper.com 9

10 9. Ratios Three girls Rachel, Peggy and Sofia have some stickers. Rachel has three times as many stickers as Peggy. The total number of Rachel s and Peggy s stickers is four times that of Sofia s. Rachel has 124 more stickers than Sofia. What is the total number of stickers of the three girls? R Rachel, P Peggy, S Sofia R = 3 x P (1) R : P -> 3 : 1 6 : 2 (2) = 8 matches with 8 : 2 in (3) R + P = 4 x S R + P : S -> 4 : 1 - > 8 : 2 (3) R + P = 8 matches with R: P -> 6 : 2 R = S (4) 6u = 2u +124 (5) - from (2) R = 6u, from (3) S=2u 6u 2u = 124 4u = 124 u = = 31 R + P : S -> 8 : 2 From (3) R + P + S = 10u 10u = 10 x 31 = 310 Total = R + S + P = 310 Ans: 310 Copyright 2016 by sgtestpaper.com 10

11 10. Measurement Money Jackson went to a department store. He found a belt that cost $20 more than a jockey cap and $7 less than a pair of shoes. He bought 2 belts, 1 jockey cap and 3 pair of shoes. The total cost was $343. Find the cost of each belt. C = number of jockey caps 6 x C + 20 x x 3 = $343 6C = $343 6C = = 222 ` C = = $37 Belt = = $57 Ans: $57 Copyright 2016 by sgtestpaper.com 11

12 11. Measurement Money 9 scissors and 3 staplers cost $66. 7 scissors and 2 staplers cost $49. What is the total cost of 1 scissors and 1 stapler? 9 scissors + 3 staplers = 66 (1) 18 scissors + 6 staplers = 66 x 2 = 132 (2) = (1) x 2 7 scissors + 2 staplers = 49 (3) 21 scissors + 6 staplers = 49 x 3 = 147 (4) = (3) x 3 3 scissors = = 15 (4) (2) 1 scissors = 15 3 = $5 9 x staplers = 66 substitute into (1) 3 staplers = = 21 1 stapler = 21 3 = $7 1 scissors + 1 stapler = = $12 Ans: $12 Copyright 2016 by sgtestpaper.com 12

13 12. Measurement Distance During football training, poles were placed from one end to the other end of a field. The poles were equally spaced out at 100 cm apart on the field. The field was 100 m long. The width of the poles was insignificant and did not affect the distance covered. (a) What is the total number of poles required for the training. (b) On another day of training, 20 flag poles were lost. As a result, the remaining poles were rearranged from one end to the other end of the field at a new equal spacing. Find out the new spacing between 2 poles? (a) Number of flag poles = = = 101 (b) New number of flag poles = = 81 Number of spaces = 81 1 = 80 New spacing = = 125 cm Ans: (a) 101 (b) 125 cm Copyright 2016 by sgtestpaper.com 13

14 13. Measurement - Distance Jackie has a piece of rope and a bamboo stick. Both were of equal length. The length of the remaining rope was 4 times as long as the remaining bamboo stick, after Jackie cut 5.3 cm from the rope and 41.3 cm from the bamboo stick. Find out the total length of the rope and bamboo stick at first. Difference in length = = 36 cm 3 x final bamboo stick length = 36 cm Final bamboo stick length = 36 3 = 12 cm Rope length at first = 12 x = 53.3 cm Total length of rope and bamboo stick at first = 53.3 x 2 = cm Ans: cm Copyright 2016 by sgtestpaper.com 14