LE-T1-WholeNumbers

Skill 1

Given total amount, repeated-quantity & a difference relationship, find the amount for one
person

1. Raj has 4 times as much savings as Cheryl. Devi has $40 more savings than Cheryl.
How much does Raj have if their total savings is $382?

2. Milly donates 4 times as much as Kenny. Anisa donates $45 more than Kenny. How
much does Milly donate if the total amount donated is $273?

3. Jason saves 4 times as much as Cheng Lee. Yimin saves $62 more than Cheng Lee.
How much does Jason have if their total savings is $764?
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PS LE T1 – Whole Numbers S1 Page 1

Skill 2

Given transfer amount & relationship between two persons before and after the transfer, find
final amount for one person

1. Marcus and Amanda saved the same amount of money. After Marcus lent $42 to
Amanda, Amanda had 5 times as much money as Marcus. How much did Amanda
have in the end?

2. At the beginning, Jason and Yimin have the same amount of money. If Jason gave $12
to Yimin, Yimin will have 5 times as much money as Jason. How much will Yimin have
in the end?

3. Patsy and John started with the same amount of money in their saving box. One day,
John borrowed $38 from Patsy. As a result, John had 5 times as much money as Patsy.
How much did John have in the end?
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PS LE T1 – Whole Numbers S2 Page 2

Skill 3

Given the amount of spending and repeated-quantity relationship, find the final amount for a
person

1. Wei Xiang and Raj had the same amount of money initially. After Wei Xiang donated
$333 and Raj donated $120 to charity, Raj had twice as much as Wei Xiang. How much
had Raj in the end?

2. Mrs. Santos and Mrs. Tan gave their students candies last Children’s Day. After Mrs.
Santos had given 250 candies and Mrs. Tan had given 120 candies to their students,
Mrs. Tan had 6 times as many candies left as Mrs. Santos. Both teachers had an equal
number of candies in the beginning. How many candies had Mrs. Tan left in the end?

3. At the beginning, Bryan and Serena had the same amount of savings. Then Bryan
gave $258 to his dad and Serena gave $234 to her mother. After that, Serena had 4
times as much money as Bryan. How much had Serena in the end?
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Mixed Skills 1 to 3

1. Steven and Rachel had the same amount of money initially. After Steven bought a
phone which costs $310 and Rachel bought a winter jacket which costs $262, Rachel
had 4 times as much as Steven. How much had Rachel in the end?

2. Mandy and Anisa earn the same amount of money. One day, Mandy gave $31 to
Anisa to buy a book for her. Anisa then had 3 times as much money as Mandy. How
much did Anisa have in the end?

3. Nicholas and Nicole were given the same amount of allowances. As Nicole needed
money urgently to buy a watch, Nicholas lent her $82. In the end Nicole had 5 times
as much money as Nicholas. How much did Nicole have in the end?
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PS LE T1 – Whole Numbers – Skills 1 to 3 Page 4

4. Mark spends 4 times as much as Nick. Alicia spends $14 more than Nick. How much
does Mark spend if their total spending is $704?

5. David and Giselle received the same amount of prize money . David used $267 to
buy his favourite bike while Giselle donated $168 to charity. In the end, Giselle had 4
times as much as David. How much had Giselle in the end?

6. MJ has 3 times as much savings as Cheok. Freya has $32 more savings than Cheok.
How much does MJ have if their total savings is $612?
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PS LE T1 – Whole Numbers – Skills 1 to 3 Page 5

Skill 4

Find the tens/hundreds/thousands to be added to a number to obtain a given value.

1. In a Healthy Jogging event, a few hundred participants were expected to jog 2 300
000 metres altogether. They had jogged 25 000 metres in the first few minutes. How
many thousands must be added to 25 000 to make 2 300 000?

2. To mark the twenty-sixth year of a charity event, a collage made of 2 600 000 stamps
is to be presented on the day on which the said charity event is held. At the moment,
the creation of the collage is still in progress with 96 000 stamps. How many hundreds
must be added to 96 000 to make 2 600 000?

3. A neighbourhood took part in a one-day water rationining exercise. The residents of
the neighbourhood were allowed to use only a combined volume of 3 700 000 litres
of water on that day. How many hundreds of litres of water had they left to use after
they had used 98 000 litres of water in the first hour?
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Skill 5

Find the difference between two numbers rounded off to the nearest tens/hundreds/thousands

1. Jamie is an active learner. Her word list has increased from 85 856 words to 97 724
words over the past few years. What is the difference between 97 724 and 85 856
rounded off to the nearest hundred?

2. Paolo’s business gets better each year. The sales of magazines increased from 59 532
copies to 93 400 copies over the past few years. What is the difference between 93
400 and 59 532 rounded off to the nearest ten?

3. Adeline and her friends like to collect coins and stamps. The number of coins and
stamps increased from 77 822 to 98 464 over the past few years. What is the difference
between 98 464 and 77 822 rounded off to the nearest hundred?
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PS LE T1 – Whole Numbers S5 Page 7

Skill 6

Given the initial repeated-quantity relationship and the change in amount/quantity, find initial
total amount/quantity.

1. In the beginning, Jeanie had 5 times as much money as Maria. Jeanie spent $146 of
her money to buy a birthday gift for her grandma while Maria was awarded $42 for
winning a competition. In the end, they had the same amount of money. How much
did they have altogether at first?

2. Ollie’s allowances is 7 times as much as Tina’s. Ollie used $352 of her money to buy
an evening gown while Tina received $26 from her good friend. In the end, they had
the same amount of money. How much did they have altogether at first?

3. Initially, Paul had 7 times as much savings as Cliff. Yesterday, Paul lost $205 of his
money in a cyber game. On the other hand, Cliff won $41. In the end, they had the
same amount of money. How much did they have altogether at first?
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Mixed Skills 4 to 6

1. Angela needs to memorize a list of spelling words every day. The list has increased
from 17 023 words to 73 175 words over the past few years. What is the difference
between 73 175 and 17 023 rounded off to the nearest hundred?

2. During a recycling campaign, Jacey primary school expects to collect 4 200 000 used
bottles.The students managed to collect 71 000 used bottles in the first week. How
many hundreds must be added to 71 000 to make 4 200 000?

3. During Chinese New Year, Owen received 5 times as much money as Tina. Owen used
$216 of her ’ang pow’ money to buy a present for her sister while Tina was received
another red packet with $68 from her mother’s friend. In the end, they had the same
amount of money. How much did they have altogether at first?
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PS LE T1 – Whole Numbers – Skills 4 to 6 Page 9

4. Elena and her friend cycles in the park together. Yesterday both of them cycled 6 800
000 metres altogether. If they cycled 86 000 metres in the first half hour, how many
hundreds must be added to 86 000 to make 6 800 000?

5. Mr Fong travels often as a salesman. Over the past few years, the distance travelled
increased from 40 825 meters to 92 092 meters. Find the difference between 92 092
and 40 825 rounded off to the nearest ten?

6. Peter’s salary is 4 times as much as Chloe’s salary. Peter spent $198 of his salary to
treat his parents while Chloe was given $66 by her parents for helping them. In the
end, they had the same amount of money. How much did they have altogether at
first?
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PS LE T1 – Whole Numbers – Skills 4 to 6 Page 10

016-7888600 Skill 7

Find the mass of a container given total mass with different quantity of items.

1. Amanda always brings her own shopping bags to buy fruits. A bag with 25 plums in it
has a mass of 7.58 kg. The same bag with 19 plums in it has a mass of 5.78 kg. Find
the mass of the bag when it is empty in grams.

2. Elaine went to an apple farm and returned home with a box of 28 apples. She had the
box of apples weighed before paying for it. At that point in time, the box of apples
weighed 22.87 kg. After she returned home and shared some apples with her family,
there were 22 apples left in the box. She then weighed the box again and received a
reading of 18.07 kg. Assuming that each apple was identical, how much would the
box weigh in grams if it were empty?

3. Serene bought some potatoes from the market. A bag with 15 potatoes in it has a
mass of 5.61 kg. The same bag with 8 potatoes in it has a mass of 3.44 kg. Find the
mass of the bag when it is empty in grams.

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Skill 8

Find the age of a person given the age difference and repeated-quantity relationship between the
persons some years later

1. In a visit to the Old Folks’ Home last weekend, Jamie spent time chatting with Mr Koh
and helping him with simple chores. She found that Mr Koh is 32 years older than
her. Mr Koh will be 3 times as old as her after 6 years. How old is Mr Koh now?

2. Mina found that her neighbour, Mrs Chan is 45 years older than her. Mrs Chan will
be 4 times as old as her after 2 years. How old is Mrs Chan now?

3. Alice’s father is 36 years older than her. After 7 years, her father will be 3 times as old
as her. How old is Alice’s father now?
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016-7888600 Skill 9

Given fractional amount & absolute amount in repeated-quantity, find the total amount

1. Mr Wong recently found a new job after upgrading his skills. When he received his
first-month salary, he deposited half of the salary in the bank. He used 1 of the

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remaining salary to buy a ring for his wife, and then he bought his friends 9 mangoes,
worth $12 each. In the end, he had $981 left in his wallet. What was Mr Wong’s
first-month salary?

2. Mr Lee was given 2 months bonus for his good performance in the company. He
deposited half of the amount in the bank. He used 1 of the remaining bonus to buy a

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pot for his wife, and then he bought another 8 utensils, worth $10 each. In the end,
he had $604 left in his wallet. What was Mr Lee’s bonus?

3. Howard won consolation prize in a lottery recently. He deposited half of the amount
in the bank. He used 1 of the remaining money to buy a blender for his wife, and

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then he bought his friends 7 cheese cakes, worth $8 each. In the end, he had $288
left in his wallet. How much was Mr Howard’s lottery money?

PS LE T1 – Whole Numbers S9 Page 13

Mixed Skills 7 to 9

1. Mr Han is 48 years older than Leon. Mr Han will be 3 times as old as him after 8 years.
How old is Mr Han now?

2. Mr Lee wanted Nicole to guess his age. Mr Lee is 51 years older than her. Mr Lee will
be 4 times as old as her after 7 years. How old is Mr Lee now?

3. Mr Ahmad was given a promotion recently. When he received his salary, he deposited
half of the amount in the bank. He used 1 of the remaining salary to buy a pair of

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shoes for his son, and then he bought his friends 6 cups of coffee, worth $9 each. In
the end, he had $716 left in his wallet. What was Mr Ahmad’s new salary?
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4. Mr Yip delivered a box with 78 lemons in it to Joanne. The box has a mass of 7.48 kg.
When some lemons were taken out, the box with 60 lemons in it has a mass of 5.86
kg. Find the mass of the bag when it is empty in grams.

5. Mr Zhang collected money from church-goers. He used half the contribution to a new
air-conditioner for the church. He used 1 of the remaining contribution to buy a new

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cabinet, and then he bought the pastors 2 movie tickets, worth $35 each. In the end,
he had $205 left in the church fund. How much did Mr Zhang collect from the church
members?

6. Chole plans to make cucumber juice. She bought a bag of 65 cucumbers weighing
7.23 kg. She used 9 cucumbers to make juice. The same bag with 56 cucumbers in it
has a mass of 6.24 kg. Find the mass of the bag when it is empty in grams.
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PS LE T1 – Whole Numbers – Skills 7 to 9 Page 15

Skill 10

Given repeated-quantity & fractional relationship, find the total amount

1. Rebecca always spends money wisely and saves her monthly allowance. Now Rebecca
has $186 in her savings. Simon has 3 times as much as Rebecca. Leon has 1 as much

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as Simon. How much do the three of them have altogether?

2. Darren has $268 in his savings. Paolo has 3 times as much as Darren. Bobbi has 1 as

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much as Paolo. How much do the three of them have altogether?

3. Ollie spends $355 per month. Burno spends 3 times as much as Ollie. Tina spends 1

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as much as Burno. How much do the three of them spend altogether?
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016-7888600 Skill 11

Given total value & quantities of notes exchanged

1. David has been saving part of his allowance in a bag every month. The bag containing
$2 and $10 notes had a total value of $2124. 10 pieces of $10 notes were exchanged
for $2 notes of the same value. In the end, the number of $10 notes was the same as
the $2 notes. How many $2 notes were there at first?

2. Simon puts his day’s sales collection in a bag. The bag containing $2 and $10 notes
had a total value of $2976. 12 pieces of $10 notes were exchanged for $2 notes of the
same value. In the end, the number of $10 notes was the same as the $2 notes. How
many $2 notes were there at first?

3. Edmund has been asked to collect donation for the poor. He received $2 and $10
notes with a total value of $2448. 18 pieces of $10 notes were exchanged for $2 notes
of the same value. In the end, the number of $10 notes was the same as the $2 notes.
How many $2 notes were there at first?

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Skill 12

Given quantity-cost relationship & repeated-quantity relationship between items

1. Simon spent a total of $58.90 on 4 pens and 11 erasers for his friends. A pen costs 5
times as much as an eraser. Find the cost of a pen.

2. Jason paid $79.80 to buy 6 markers and 12 greeting cards for his friends. A marker
costs 5 times as much as a greeting card. Find the cost of a marker.

3. Ben bought 3 books and 11 files and paid a total of $34.80. A book costs 6 times as
much as a file. Find the cost of a book.
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Mixed Skills 10 to 12

1. 3 good friends are planning to go for a short trip together. Selva has $450 in his
savings. Juno has twice as much as Selva. Raja has 1 as much as Juno. How much do

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the three of them have altogether?

2. Royston sells doughnuts in a charity carnival. Customers pay him in $2 and $10
coupons. The total value of sales for that day was $1668. One customer exchanged 6
pieces of $10 coupons for $2 coupons of the same value. In the end, the number of
$10 coupons was the same as the $2 coupons. How many $2 coupons were there at
first?

3. Felix spent a total of $46.20 on 7 tarts and 14 choco chips for his siblings. A tart costs
4 times as much as a choco chip. Find the cost of a tart.
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4. Chloe only managed to save $369. Aaron, her brother save 8 times as much as Chloe
as his salary is higher. Stanley saves 1 as much as Aaron. How much do the three of

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them save altogether?

5. Leon spent a total of $49.60 on 4 pieces of cake and 11 muffins for his friends. A
piece of cake costs 5 times as much as a muffin. Find the cost of a piece of cake.

6. Bryan wanted to distribute a bag of money to the orphans of a welfare home. The
bag containing $2 and $10 notes had a total value of $2616. 4 pieces of $10 notes
were exchanged for $2 notes of the same value. In the end, the number of $10 notes
was the same as the $2 notes. How many $2 notes were there at first?
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Skill 13

Given quantity-cost relationship & absolute cost difference between items

1. David bought 5 pens and 12 erasers for $75.40. A pen costs $0.80 more than an
eraser. Find the cost of an eraser.

2. Jason bought 6 cakes and 24 pies for $63.60. A cake costs $1.10 more than a pie. Find
the cost of a pie.

3. Steven bought 5 tarts and 18 muffins for $45.40. A tart costs $0.80 more than a
muffin. Find the cost of a muffin.
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Skill 14

Given events of operations & final value

1. Mike designed a game ’The Mystery Number’ to help her friends in her study group
learn Maths. In this game, 25 is added to a mystery number. The result is multiplied
by 2 . After that 3456 is then subtracted. The final value is 12 568. What was the
mystery number at the beginning?

2. Michelle was with her friends playing a game. In this game, 48 is added to a mystery
number. The result is multiplied by 4 . After that 436 is then subtracted. The final
value is 8576. What was the mystery number at the beginning?

3. Shawn has a mystery number. 46 is added to the mystery number. The result is
multiplied by 3 . After that 5457 is then subtracted. The final value is 3267. What was
the mystery number at the beginning?
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Skill 15

Given relationship between fractional & repeated-quantity values, find the value of a number

1. Steven designed a game ’The Mystery Number’ to help his friends in his study group
learn Maths. In this game, 8 times of a mystery number is 1134 more than 1 of the

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same mystery number. Find the mystery number.

2. James and his friends like math riddles: 5 times of a mystery number is 1152 more
than 1 of the same mystery number. Find the mystery number.

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3. 3 times of a mystery number is 2002 more than 1 of the same mystery number. Find

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the mystery number.
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Mixed Skills 13 to 15

1. 35 is added to a mystery number. The result is multiplied by 4 . After that 1306 is then
subtracted. The final value is 24 678. What was the mystery number at the beginning?

2. 74 is added to a mystery number. The result is multiplied by 3 . After that 1014 is then
subtracted. The final value is 13 992. What was the mystery number at the beginning?

3. If 5 times of a mystery number is 1972 more than 1 of the same mystery number,

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what is the mystery number?
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4. Daniel bought 2 cupcakes and 20 tarts for $77. A cupcake costs $1.10 more than a
tart. Find the cost of a tart.

5. Li Xin bought 5 stickers and 12 cards for $16.10. A sticker costs $0.50 more than a
card. Find the cost of a card.

6. 7 times of a mystery number is 1768 more than 1 of the same mystery number. Find

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the mystery number.
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