LE-T2-Fractions

Skill 1

Given total mass expressed in fraction

1. Sarah wanted to learn cooking so that she could help out at home. In the cooking
class, 10 students shared 3 kg of sugar equally. How much sugar would each student

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get? (Leave your answer in g)

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2. Arianna bought some salt. Then she put the 1 kg of salt equally into 4 packets. How

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much salt would each packet contain? (Leave your answer in g)

3. Camila is required to distribute 6 kg of flour equally among 10 students. How much
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flour would each student get? (Leave your answer in g)

PS LE T2 – Fractions S1 Page 1

Skill 2

Given fractional quantity & absolute quantities of items

1. Dray has a toy collection which consists of toy planes, toy cars and toy trucks. 3 of his
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toy collection is made up of toy planes. 2 of the remaining toys are toy trucks. How

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many toys does he have in total if he has 10 toy cars?

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2. Bryson always helps his mother look after her fruit stall. At the fruit stall, 3 of the

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fruits are oranges. 5 of the remaining fruits are grapes and the rest are melons. How

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many fruits are there altogether if there are 54 melons?

3. Cameron buys a lot of books and magazines. 3 of the books are comic books. 3 of

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the remaining books are novels and the rest are magazines. How many books are

there altogether if there are 160 magazines?

PS LE T2 – Fractions S2 Page 2

Skill 3

Given unit value & fractional relationship

1. Marco is a thrifty boy. He always spends money wisely. He has saved $440 so far.
Jaylan has 9 of Marco’s money. How much must Marco give Jaylan so that both will

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have the same amount?

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2. Janice has saved $598 so far. Su Lin has 7 of Janice’s money. How much must Janice

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give Su Lin so that both will have the same amount?

3. Taylor saved $143 per month. Scarlett saved 7 of Taylor’s money. How much must
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Taylor give Scarlett so that both will have the same amount?

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Skill 4

Given fractional savings amount & difference in total savings

1. Arianna and Carlos get the same salary. Every month Arianna saves 7 of her salary

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while Carlos saves 5 of his salary. Every year Arianna saves $3672 more than Carlos.

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Find the monthly salary of Arianna.

2. Devi and Raj get the same allowances from their parents. Every month Devi saves 6

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of her allowances while Raj saves 4 of his allowances. Every year Devi saves $1680

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more than Raj. Find the monthly allowances of Devi.

3. Wei Xiang and Stacy get the same salary. Every month Wei Xiang saves 4 of his salary

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while Stacy saves 3 of her salary. Every year Wei Xiang saves $960 more than Stacy.

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Find the monthly salary of Wei Xiang.
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PS LE T2 – Fractions S4 Page 4

Mixed Skills 1 to 4

1. Taylor and Mohammed get the same salary. Every month Taylor saves 7 of her salary
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while Mohammed saves 5 of his salary. Every year Taylor saves $2976 more than

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Mohammed. Find the monthly salary of Taylor.

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2. Riley kept some money to go travelling. She has saved $445 so far. Austin only saved

3 of Riley’s money. How much must Riley give Austin so that both will have the same
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amount?

3. Sophie spends money more wisely than her brother Desmond. She has saved $954

so far. However, Desmond only managed to save 5 of Sophie’s money. How much

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must Sophie give Desmond so that both will have the same amount?

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4. Miko and Devi receive the same salary. Every month Miko saves 11 of her salary while

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Devi saves 10 of her salary. Every year Miko saves $1440 more than Devi. Find the

monthly salary of Miko.

5. Choy Leng requested the shopkeeper to pack 2 kg of cornflour equally into 5 packets.

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How much sugar would each packet contain? (Leave your answer in g)
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6. John likes to collect stamps. 3 of the stamps are Malaysian stamps. 5 of the remaining

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stamps are Singapore stamps and the rest are stamps from China. How many stamps

are there altogether if there are 36 China stamps?

PS LE T2 – Fractions – Skills 1 to 4 Page 6

7. Jane makes cookies for sale during Chinese New Year. 3 of the cookies are pineapple

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tarts. 8 of the remaining cookies are almond cookies and the rest are peanut cookies.

How many cookies are there altogether if there are 84 peanut cookies?

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8. Claire wanted to make 6 pieces of cake. She bought 3 kg of icing sugar to be used

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equally in making the 6 cakes. How much icing sugar would be used to make a piece

of cake? (Leave your answer in g)

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Skill 5

Given fractional quantity, absolute quantity of one group & sub-groups relationship

1. In Taylor’s school, 3 of the students are girls. How many boys are there if there are
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4278 girls? If there are 292 more boys who wear spectacles than those boys who do

not wear spectacles. How many boys wear spectacles?

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2. In Khloe’s school, 7 of the students are girls. There are 137 more boys who wear

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long pants than those boys who wear short pants. How many boys wear long pants if

there are 3507 girls?

3. In Marco’s school, 3 of the students are girls. How many boys are there if there are

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4146 girls? If there are 164 more boys who wear glasses than those boys who do not

wear glasses. How many boys wear spectacles?

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016-7888600 Skill 6

Given fractional quantity, absolute quantity, & repeated-quantity relationship

1. Kuti kuti is a traditional children’s game played in Singapore. Jaren bought some kuti
kuti pieces last week. 6 of the kuti kuti pieces are red. The remaining kuti kuti pieces

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are either blue or green. The blue kuti kuti pieces are 5 times as many as the green
ones. How many kuti kuti pieces are there altogether if there are 95 blue kuti kuti
pieces?

2. Rachel bought some markers last week. 8 of the markers are red. The remaining

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markers are either blue or green. The blue markers are 6 times as many as the green
ones. How many markers are there altogether if there are 54 blue markers?

3. Helen wants to make bracelets and bought some beads. 8 of the beads are red. The

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remaining pieces are either yellow or orange. The yellow pieces are 6 times as many
as the orange ones. How many beads are there altogether if there are 36 yellow
pieces?

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Skill 7

Given total quantity of combinations involving a common item

1. A group of students volunteered to help a fruit farm owner pick fruits. The total

number of apples and plums they picked was 294. The total number of apples and

guavas was 222. The number of guavas was 4 of plums. How many apples were
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there?

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2. Ahmad and his friend were picking fruit in the farm. The total number of apples and
oranges they picked was 482. The total number of apples and plums was 422. The
number of plums was 3 of oranges. How many apples were there?

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3. Last December, James and his family went to an orchard. The total number of bananas
and lychees they picked was 384. The total number of bananas and mangoes was
258. The number of mangoes was 4 of lychees. How many bananas were there?

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Mixed Skills 5 to 7

1. The total number of oranges and guavas at Mr Yan’s fruit stall was 232. The total
number of oranges and apples was 147. The number of apples was 3 of guavas. How

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many oranges were there?

2. 6 of the students who join the camp are girls. If the number of girls who join the

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camp is 4188, then how many boys join the camp? Out of the total boys who join the

camp, Given that there are 196 more boys who wear spectacles than those boys who

do not wear spectacles. How many boys wear spectacles?
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3. Joseph loves drawing. He drew a lovely picture. 2 of his crayons are green. The
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remaining crayons are either blue or brown. The blue crayons are 7 times as many as

the brown ones. How many pieces of crayons does he have altogether if there are 56

blue crayons?

PS LE T2 – Fractions – Skills 5 to 7 Page 11

4. Mr. Ng’s shop sells fruits. 3 of the fruits are apples. The remaining fruits are either

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oranges or guavas. The oranges are 6 times as many as guavas. How many fruits are
there altogether in Mr. Ng’s shop if there are 42 oranges?

5. During a fruit harvesting period, the total number of bananas and lychees they picked
was 398. The total number of bananas and mangoes was 288. The number of
mangoes was 4 of lychees. How many bananas were there?

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6. In Nanyang primary school, 8 of the students are girls. There are 166 more boys who

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wear spectacles than those boys who do not wear spectacles. How many boys wear
spectacles if there are 4752 girls?
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PS LE T2 – Fractions – Skills 5 to 7 Page 12

Skill 8

Given total amount, fractional & absolute relationship

1. During a donation drive, Li Xin donated as much as 3 of the amount that Mandy
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donated. Caro donated $108 more than Li Xin. How much did Mandy donate if they

donated $992 altogether?

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2. During a donation campaign, Kurt donated as much as 4 of the amount that Roman

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donated. Aubree donated $1 more than Kurt. How much did Roman donate if they

donated $460 altogether?

3. Siti spends as much as 2 of the amount that Sally spends. Li Wei spends $96 more

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than Siti. How much did Sally spend if they spent $852 altogether?

PS LE T2 – Fractions S8 Page 13

Skill 9

Given total amount & repeated-quantity relationship between a unit value and a fraction

1. Cheryl has been saving money for years. Claire’s money is 3 times as much as 7 of

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Cheryl’s money. They have $868 altogether. How much does Cheryl have now?

2. Hazirah and Karl spend their money wisely. After 2 years, Karl’s savings is twice as
much as 4 of Hazirah’s savings. They save $780 altogether. How much is Hazirah’s

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savings?

3. Shayne has been saving money for years. Brianna’s money is 4 times as much as 1 of

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Shayne’s money. They have $544 altogether. How much does Shayne have now?
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PS LE T2 – Fractions S9 Page 14

Skill 10

Given fraction and the increase in fraction & value

1. Vignesh spends 3 of his monthly salary and saves the rest. His monthly salary was
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recently increased by $254. If he had continued with his usual spending and saving

habits, he would have spent $1233. How much was his monthly salary before the pay

raise?

2. Mr Kurt always016-7888600saves4of his monthly salary. If his monthly salary is increased by
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$500, his monthly savings will be $5000. How much is Mr Kurt’s monthly salary before

the increase?

3. Perry makes it a point to save 5 of his monthly salary. Due to the recent financial

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crisis, his pay was cut by $450. Nonetheless, he managed to save $1525. How much

was Perry’s monthly salary before the pay cut?

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Mixed Skills 8 to 10

1. Stephan saved as much as 4 of the amount that Darren saved. Ashley saved $6 more
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than Stephan. How much did Darren save if they saved $584 altogether?

2. Elvin’s money is 4 times as much as 1 of Mursalina’s money. They have $672 alto-

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gether. How much does Mursalina have now?
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3. Members of St Peter’s church actively raise funds to help the poor. Sarah contributed

as much as 3 of the amount that Joseph contributed. Sandy contributed $84 more
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than Sarah. How much did Joseph contribute if they contributed $704 altogether?

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4. Devin’s donation is twice as much as 4 of Berio’s donation. Together they donated

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$832. How much does Berio donate?

5. Mr Ngiam always saves 6 of his monthly salary. As a result of his company’s losses,

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his monthly salary is reduced by $264. However his spending and saving habits
remain the same. If his monthly savings is $3516, how much is Mr Ngiam’s monthly
salary before the pay cut?

6. Mindy has just received a promotion along with a pay raise for her stellar job perfor-
mance. She received a pay raise of $335. If Mindy had stuck to her usual habit of
saving 6 of her monthly salary, she would have spent $1560. How much was Mindy’s

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monthly salary before her promotion?
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PS LE T2 – Fractions – Skills 8 to 10 Page 17