PSLE Revision Worksheet - Singapore Math Guru Revision Worksheet.pdfPSLE Revision Worksheet (Fractions, Ratio, Percentages, Decimals) Notes: 1. indicates a video explanation is given

PSLE Revision Worksheet

(Fractions, Ratio, Percentages, Decimals)

Notes:

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ratio, percentages and decimals.

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Whole Numbers and Fractions

Question 1

There are 4 bottles labelled P, Q, R and S.

These bottles contained a total of 1620 marbles.

The number of marbles in S was halved while the number of marbles in P and Q

were increased by 110 and decreased by 30 respectively.

Eventually, the number of marbles in all 4 bottles became equal.

How many marbles were there in bottle S at first?

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Question 2

4 boxes labelled A, B, C and D contained a total of 1970 beads.

The number of beads in A and B were increased by 220 and decreased by 60

respectively.

Also, half of the number of beads in D was given away.

As a result, the number of marbles in all 4 boxes became equal.

How many marbles were there in box D at first?

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Question 3

John had 5 bags labelled P, Q, R, S and T.

These bags contained a total of 4070 badges.

The number of badges in S was doubled while the number of badges in P and Q

were increased by 330 and decreased by 60 respectively.

The number of badges in bag R stayed constant throughout.

In the end, the number of badges in bags P, Q, R and S became equal.

If there are no badges in bag T, how many badges were there in bag S in the end?

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Question 4

Hector, Kenny and Elliot went shopping with $2190.

Kenny spent $80 and Hector spent 25 of his money.

Hector spent half as much as Elliot and had $160 less than what Elliot had left.

In the end, Kenny and Hector had the same amount of money left.

How much money had Elliot at first?

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Question 5

Heidi, Kelly and Eton went shopping with $2730

Kelly spent $90.

Heidi spent 34 of her money.

Eton spent twice as much as Heidi and had $120 more than what Heidi had left.

If Kelly and Heidi had the same amount of money left in the end, how much money

had Eton at first?

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Question 6

Helen, Kylie and Edward went shopping with $2310.

Helen spent 34 of her money and Kylie spent $180.

Helen spent 13 as much as Edward and had $240 less than what Edward had left.

If Kylie and Helen had the same amount of money left in the end, how much money

had Helen at first?

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Question 7

Alex, Wendy and Pamela had 9164 beads.

Wendy has 1450 beads.

Alex then gave 25 of his beads to Wendy.

Subsequently, Wendy gave 110 beads to Pamela.

Eventually, Alex had thrice as many beads as Pamela.

(a) How many beads did Alex have at first?

(b) How many beads did Pamela have at first?

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Question 8

Adam, Wendy and Pamela had 2340 beads.

Adam then gave 25 of his beads to Wendy.


Eventually, Adam had thrice as many beads as Pamela.

If Wendy had 630 beads at first, how many beads did Adam have at first?

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Question 9

Alex, Wendy and Pamela had 2480 beads.

Alex then gave 14 of his beads to Wendy.


Eventually, Alex had twice as many beads as Pamela.

If Wendy had 360 beads at first, how many beads did Alex have at first?

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Question 10

There are a certain number of pages in a book.

John counted and found that the digits that make up the pages in the book sum up to

819.

How many pages are there in the book?

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Question 11

A textbook has 300 pages.

What is the total number of digits in the textbook?

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Question 12

Mary counted the number of digits representing the page numbers in a book and

found that there were a total of 648 digits.

(a) How many pages had 3 digits?

(b) How many pages were there in the book?

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Decimals

Question 13

I am thinking of a number.

When I shift the decimal point of the number to the right twice, I get a number that is

9954.45 greater in value than the original number.

What is the number that I am thinking of?

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Question 14

A card has a number written on it.

The decimal point of the number is shifted 2 places to the left.

The difference between the original number and the new number is 99.594.

What is the original number?

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Ratio

Question 15

Kelly bought some buns and gave half of them to Lionel.

Lionel bought some sweets and gave half of them to Kelly.

Kelly ate 10 sweets and Lionel ate 22 buns.

As a result, the ratio of the number of sweets to buns Kelly had left became 1:7 and

the ratio of the number of sweets to buns Lionel had left became 1: 5.

How many sweets did Lionel buy?

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Question 16

John had some marbles. He gave half of them to Mabel.

Mabel had some beads. She gave half of them to John.

John then gave 10 beads away and Mabel gave 112 marbles away.

As a result, the ratio of John’s marbles to beads became 4:1 and the ratio of Mabel’s

marbles to beads became 2: 1.

How many marbles did John have at first?

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Question 17

Kelly bought some buns and gave half of them to Lionel. Lionel bought some sweets

and gave half of them to Kelly.

Kelly ate 20 sweets and Lionel ate 44 buns.

As a result, the ratio of the number of buns to sweets Kelly had left became 7:1 and

the ratio of the number of buns to sweets Lionel had left became 5: 1.

How many sweets did Lionel buy?

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Question 18

The cost of a cookie is $1.20 and the cost of a bar of chocolate is $1.60.

John spent the same amount of money on the cookies and the chocolates.

The number of cookies is 5 more than the number of chocolates.

How many cookies did he buy?

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Question 19

The cost of a cookie is $1.60 and the cost of a candy is $2.40.

John spent the same amount of money on the cookies and the candies.

If there are 5 more cookies than candies, how many candies did he buy?

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Question 20

Mary buys some bags and dolls.

Each doll cost $35 and each bag cost $50.

She spends an equal amount of money on the bags and the dolls.

If there are 9 more dolls than bags, how many bags did she buy?

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Fractions and Simultaneous Equations

Question 21

Gary and Mary have 170 marbles.

Gary gave 14 of his marbles away and Mary gave

13 of her marbles away.

As a result, they had a total of 120 marbles left.

(a) How many marbles did Gary have at first?

(b) How many marbles did Mary have at first?

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Question 22

Andy and Tom have some beads.

Andy gave some beads away and had 13 of his original number of beads left.

Tom gave 16 of his beads away.

As a result, Andy and Tom had a total of 220 beads left.

If they had a total of 480 beads at first, how many beads did Tom have at first?

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Question 23

There are 124 apples and oranges in a basket.

47 of the oranges and

58 of the apples are eaten.

In the end, there were 48 fruits left in the basket.

How many apples were there in the basket originally?

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Unchanged Total

Question 24

There are a certain number of pupils in a class.

If George is excluded, the ratio of the number of boys to girls in the class would be

4:1.

If Kelly is excluded, the ratio of the number of boys to girls in the class would be 5:1.

How many students are there in the class?

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Question 25

A basket had a certain number of apples and oranges.

If 3 apples are taken out of the basket, the ratio of the number of apples to oranges

becomes 2 : 1

If 3 oranges are taken out of the basket, the ratio of the number of apples to oranges

becomes 3 : 1

How many fruits are there in the basket?

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Question 26

A group of students played hop scotch with each other.

Each student played once with each other.

John played with 4 times as many boys as girls.

Mary played with 5 times as many boys as girls.

What is the difference in the number of boys and girls?

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Question 27

Jake and Robert have some money.

If Jake spends $16, the ratio of Jake’s money to Robert’s money becomes 1:5.

If Robert spends $16, the ratio of Jake’ money to Robert’s money becomes 1:2.

(a) How much money has Jake?

(b) How much money has Robert?

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Question 28


If Jake gives $16 to Robert, the ratio of Jake’s money to Robert’s money becomes

1:6.

If Robert gives $16 to Jake, the ratio of Jake’s money to Robert’s money becomes

3:4.



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Question 29



1:6.

If Robert gives $10 to Jake, the ratio of Jake’ money to Robert’s money becomes 3:5.



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Question 30



5:23.

If Robert gives $16 to Jake, the ratio of Jake’s money to Robert’s money becomes

5:9.



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Question 31

There are rows of 15 chairs in a school hall.

6 additional chairs were brought into the hall and all chairs were rearranged into

rows of 12.

Now, there are 10 more rows than before.

How many chairs were there in the school hall at first?

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Question 32

There are 30 sweets in a certain number of jars.

Tom, a shopkeeper, had to rearrange these sweets such that there are 12 sweets in

each jar.

After the rearrangement, there are now 63 more jars than before and each jar

contained exactly 12 sweets.

(a) How many jars were there at first?

(b) How many sweets are there?

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Question 33

A shop had a certain number of sacks of rice at first.

Each sack contained 34 kg of rice at first.

3 days later, the shop purchased another 12 kg of rice.

Tom was then tasked to rearrange the rice into sacks of 26 kg each.

After he had done so, he found that he had 18 more sacks of rice than what he had

before.

How much rice did the shop have in the end?

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Documents

PSLE Revision Worksheet - Singapore Math Guru Revision Worksheet.pdfPSLE Revision Worksheet (Fractions, Ratio, Percentages, Decimals) Notes: 1. indicates a video explanation is given