LE-T4-Ratio

016-7888600 Skill 1

Given ratio & absolute amount of one party

1. A sum of money was supposed to be shared equally between Jenny and Mike. How-
ever, Mike carelessly took less than his share of the money. The resulting ratio of
Jenny’s share of the money to Mike’s share of the money was 7 : 4. Jenny decided
to give Mike his rightful share of the money to so that they eventually had an equal
amount of money. How much money did Jenny return to Mike if Mike had mistakenly
taken only $648?

2. James’s mother gives James and his brother the same amount of allowance every
month. By mistake, James gets more allowance this month. The ratio of his allowance
to his brother’s allowance is 7 : 6. James decides to give his brother some money
so that both of them will have the same amount. If James has $252 now, how much
must James give to his brother?

3. The ratio of Emily’s allowance to her brother’s allowance is 9 : 7. Emily’s brother
wants to have the same amount of money as Emily. If Emily has $279 now, how much
must Emily give to her brother?

PS LE T4 – Ratio S1 Page 1

Skill 2

Given ratio & absolute quantity difference

1. Isabella and her sister want to buy a rare stamp together. The ratio of Isabella to her
sister’s money is 3 : 7. Isabella has $112 less than her sister. How much do they have
altogether?

2. Pam and her friend want to buy a paint box together for their art project. The ratio of
Pam to her friend’s money is 7 : 9. Pam has $48 less than her friend. How much do
they have altogether?

3. Anna and Jenny planned to buy a box of crystals for their mother. The ratio of Anna
to Jenny’s money is 7 : 8. Anna has $31 less than Jenny. How much do they have
altogether?
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Skill 3

Given ratio & transfer amount

1. Sophia and Jack are friends from the Chinese calligraphy society. They want to buy a
Chinese calligraphy book together. The ratio of Sophia to Jack’s money is 7 : 11. If
Jack gives $88 to Sophia they will have the same amount. How much do they have
altogether?

2. Matthew and Lily are classmates. They have to buy some materials for their project.
The ratio of Matthew to Lily’s money is 1 : 11. If Lily gives $115 to Matthew they will
have the same amount. How much do they have altogether?

3. Emily and Jacob compare their savings. The ratio of Emily to Jacob’s money is 7 : 13.
If Jacob gives $93 to Emily they will have the same amount. How much do they have
altogether?
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Skill 4

Given ratio & total quantity at a later time frame, find initial quantity

1. The community club has members from different age groups. The ratio of Farah’s age
to Anna’s age is 2 : 5. In 7 years’ time, their total age will be 49. How old is Farah now?

2. The ratio of Sarah’s age to Sandy’s age is 2 : 7. In 9 years’ time, their total age will be
45. How old is Sarah now?

3. The ratio of Li Wei’s age to Jafar’s age is 3 : 7. In 8 years’ time, their total age will be
56. How old is Li Wei now?
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Mixed Skills 1 to 4

1. Devi and Siva like to draw. They plan to buy a box of good water colour together. The
ratio of Devi to Siva’s money is 5 : 11. If Siva gives $69 to Devi they will have the same
amount. How much do they have altogether?

2. Jack and Fiona are planning to get married and go to Thailand for their honeymoon.
The ratio of Fiona to Jack’s money is 5 : 7. If Jack gives $84 to Fiona they will have the
same amount. How much do they have altogether?

3. Mina is supposed to share the reward money equally with her brother. By mistake,
Mina took more share of the money. The ratio of her share to her brother’s share is
9 : 7. Mina feels that she has to give her brother some money so that both of them
will have the same amount. If Mina has $378 now, how much must Mina give to her
brother?
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PS LE T4 – Ratio – Skills 1 to 4 Page 5

4. The ratio of Anisa’s age to Peiling’s age is 2 : 5. In 10 years’ time, their total age will be
41. How old is Anisa now?

5. Lily and her sister want to use their savings to buy a pet kitten. The ratio of Lily to
her sister’s money is 5 : 8. Lily has $141 less than her sister. How much do they have
altogether?

6. The ratio of Peiling’s age to Devi’s age is 3 : 5. In 5 years’ time, their total age will be
42. How old is Peiling now?
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PS LE T4 – Ratio – Skills 1 to 4 Page 6

7. Noah did not have enough money to buy a scooter, so he needed the help of his
brother. The ratio of Noah’s money to his brother’s money is 1 : 5. Noah has $96 less
than his brother. How much do they have altogether?

8. Siti’s mother gives Siti and her sister the same amount of pocket money every month.
However, by mistake Siti’s mother gave Siti more money this month. The ratio of Siti’s
pocket money to her sister’s allowance is 9 : 8. Siti’s sister demanded that she must
have the same amount of money as Siti. If Siti has $414 now, how much must Siti
give to her sister?
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Skill 5

Given ratio of items before and after addition & additional quantity

1. Devi likes arranging fruit platters. In a fruit platter competition Devi joined, the ratio
of tangerines to starfruits the organiser prepared was 3 : 7. If 69 starfruits were
added, the ratio of tangerines to starfruits would be 3 : 10. How many tangerines
were there?

2. Janet likes making cookies. Last week she made pineapple tarts and almond cookies.
The ratio of pineapple tarts to almond cookies she made was 1 : 3. If 46 almond
cookies were added, the ratio of pineapple tarts to almond cookies would be 1 : 5.
How many pineapple tarts were there?

3. Hong helped his uncle pick fruits in the orchard. The ratio of durians to passion fruits
the picked in the morning was 1 : 4. If 100 passion fruits were added in the afternoon,
the ratio of durians to passion fruits would be 1 : 8. How many durians were there?
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PS LE T4 – Ratio S5 Page 8

016-7888600 Skill 6

Given two ratio sets among three parties

1. Pei Pei, Devina and Sarah took part in a community involvement project wherein they
collected canned food.The canned food will then be sorted and distributed to the less
privileged. The ratio of canned food collected by Pei Pei to that collected by Devina
was 3 : 8. On the other hand, the ratio of canned food collected by Devina to that
collected by Sarah was 2 : 1. What was the ratio of canned food collected by Pei Pei
to that collected by Sarah? (Please leave your answer in the simplest ratio.)

2. The ratio of Danielle to Aidan’s savings is 4 : 5. The ratio of Aidan to William’s savings
is 10 : 11. Find the ratio of Danielle to William’s savings. (Please leave your answer in
the simplest ratio.)

3. The ratio of Emily to Ava’s savings is 2 : 5. The ratio of Ava to Olivia’s savings is 4 : 3.
Find the ratio of Emily to Olivia’s savings. (Please leave your answer in the simplest
ratio.)

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Skill 7

Given two ratio sets among three parties & amount for one party

1. William, Noah and Ethan want to buy a rocking chair for their grandparents. All of
them will contribute from their savings. The ratio of William to Noah’s money is 3 :
5. The ratio of Noah to Ethan’s money is 8 : 7. If William gives $96, how much does
Ethan contribute?

2. Isabella, Sophia and Mike plan to buy a rice cooker using their savings. The ratio of
Isabella to Sophia’s money is 9 : 5. The ratio of Sophia to Mike’s money is 5 : 4. If
Isabella contributes $99, how much does Mike contribute?

3. Gina, Irene and Sean intend to throw a birthday party for their father. The ratio of
Gina to Irene’s money is 7 : 6. The ratio of Irene to Sean’s money is 7 : 3. If Gina gives
$49, how much does Sean contribute?
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Mixed Skills 5 to 7

1. The ratio of Ali to Ahmad’s savings is 2 : 5. The ratio of Ahmad to Arif’s savings is 3 : 4.
Find the ratio of Ali to Arif’s savings. (Please leave your answer in the simplest ratio.)

2. Devi, Jodhi and Fiona were thinking of pooling their money to get a new oven for their
mother. The ratio of Devi to Jodhi’s money is 2 : 5. The ratio of Jodhi to Fiona’s money
is 3 : 4. If Devi gives $60, how much does Fiona contribute?

3. Terry works in the national library. Yesterday he arranged new books in the shelves.
The ratio of novels to children’s story books he arranged was 1 : 5. If 92 children’s
story books were added, the ratio of novels to children’s story books would be 1 : 7.
How many novels were there?
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4. The ratio of Anna to Ong’s savings is 2 : 3. The ratio of Ong to Emma’s savings is 5 :
11. Find the ratio of Ava to Emma’s savings. (Please leave your answer in the simplest
ratio.)

5. Mr Thelva sells fruits in the market. The ratio of plums to bananas he sold on Monday
was 1 : 6. If 84 more bananas were sold, the ratio of plums to bananas would be 1 : 9.
How many plums were there?

6. Ella, Emily and Ava decided to give their favourite tuition teacher a lunch treat. All of
them will withdraw money from their savings. The ratio of Ella to Emily’s money is 10
: 9. The ratio of Emily to Ava’s money is 7 : 2. If Ella gives $70, how much does Ava
withdraw?
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Skill 8

Given two sums & one ratio set among three parties

1. Aiden, Daniel and Matthew have managed their savings well. The sum of Aiden and
Daniel’s savings is $1452. Aiden and Matthew’s savings sum up to $1876. The ratio of
Daniel to Matthew’s savings is 3 : 5. How much has Aiden saved?

2. Mrs Koh records the amount of savings of her 3 children. The sum of Anna and
Keddy’s savings is $2049. Anna and Jacob’s savings sum up to $2274. The ratio of
Keddy to Jacob’s savings is 6 : 11. How much has Anna saved?

3. 3 good friends plan to go to Vietnam for a holiday. Ava, Emily and Ella have some
savings. The sum of Ava and Emily’s savings is $1864. Ava and Ella’s savings sum up
to $2100. The ratio of Emily to Ella’s savings is 5 : 6. How much has Ava saved?
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Skill 9

Given ratio before and after a timeframe

1. 5 years ago, when Olivia celebrated her birthday with her family, the ratio of the age
of Olivia to Olivia’s sister was 3 : 5. This year, the ratio of the age of Olivia to Olivia’s
sister is 4 : 5. How old is Olivia now?

2. 10 years ago, the ratio of Siti’s age to Siti’s sister’s age was 2 : 5. This year, the ratio of
the age of Siti to Siti’s sister is 4 : 5. How old is Siti now?

3. The ratio of Isabella’s age to her brother’s age 13 years ago was 2 : 5. This year, their
ratio is 5 : 6. How old is Isabella now?
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Skill 10

Given ratio before & total quantity after a timeframe

1. Emily and Ella are recording down their ages during the annual health check. The
ratio of Emily’s age to Ella’s age is 3 : 4. In 8 years’ time, their total age will be 44.
What is Ella’s age 12 years from now?

2. Daniel and Matthew are asked to record down their ages in their application forms.
The ratio of Daniel’s age to Matthew’s age is 3 : 5. In 4 years’ time, their total age will
be 56. What is Matthew’s age 7 years from now?

3. The ratio of Emma’s age to Olivia’s age is 2 : 5. In 7 years’ time, their total age will be
42. What is Olivia’s age 9 years from now?
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Mixed Skills 8 to 10

1. 10 years ago, when Sunny celebrated her birthday with her family, the ratio of the
age of Sunny to Sunny’s sister was 5 : 9. This year, the ratio of the age of Sunny to
Sunny’s sister is 5 : 7. How old is Sunny now?

2. Sophia, Isabella and Emma have kept records of their spending last month. The sum
of Sophia and Isabella’s spending is $1648. Sophia and Emma’s spending sum up to
$1865. The ratio of Isabella to Emma’s spending is 4 : 5. How much has Sophia spent?

3. Olivia, Ava and Emily agreed to pool their money together to buy a new TV for the
house. The sum of Olivia and Ava’s savings is $1822. Olivia and Emily’s savings sum
up to $2004. The ratio of Ava to Emily’s savings is 4 : 11. How much has Olivia saved?
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4. 8 years ago, the ratio of Sarah’s age to her sister’s age was 1 : 4. This year, the ratio of
Sarah’s age to her sister’s age is 3 : 4. How old is Sarah now?

5. The ratio of Dawn’s age to Mandy’s age is 4 : 5. In 8 years’ time, their total age will be
70. What is Mandy’s age 6 years from now?

6. The ratio of Ava’s age to Emily’s age is 2 : 5. In 5 years’ time, their total age will be 45.
What is Emily’s age 10 years from now?
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