P4 maths ca1_2016_word_problems_solutions_modelled_after_ai_tong

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
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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: ___________________

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: ___________________

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: ___________________

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: ___________________

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: ___________________

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

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

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

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

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

P4 maths ca1_2016_word_problems_solutions_modelled_after_ai_tong

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