P2 Mathematics Challenging Problems
Contents
| Update Date | Unit |
|---|---|
| 2021.12.29 | Revision 4 |
| 2021.11.22 | Revision 3 |
| 2021.11.22 | Unit 9-10 Money |
| 2021.11.22 | Revision 2 |
| 2021.08.09 | Unit 8 Mass |
| 2021.08.09 | Unit 7 Length |
| 2021.06.16 | Unit 1-2 Addition and Subtraction |
| 2021.06.11 | Unit 5-6 Multiplication and Division |
Unit 1-2 Addition and Subtraction
Unit 1 (5)
Ali has 197 fewer beans than Simon.
Henry has 276 more beans than Simon.
If the three boys have 706 beans, how many beans does Simon have?
Unit 1 (6)
Lin Chen has 284 more books than Jenny.
Kate has 117 fewer books than Jenny.
If the three girls have 818 books, how many books does Lin Chen have?
Unit 1 (7)
Mrs Wong fried 900 chicken wings.
She sold 685 of them on Sunday and 116 of them on Monday.
How many chicken wings did she have left?
Unit 1 (11)
Steve gives 264 stickers to Karen.
He gives 85 fewer stickers to Megan than Karen.
How many stickers does Steve have at first if he has 359 stickers left?
Unit 2 (5)
Miss Lee spent $73 less than Andrew.
Sophia spent $99 more than Andrew.
If Sophia spent $300, how much did the 3 of them spend together?
Unit 2 (7)
A handbag cost 254 dollars and a dress cost 187 dollars.
After buying the handbag and 2 such dresses, Mrs Lee had 299 dollars left.
How much money did Mrs Lee have at first?
Unit 2 (11)
Lin Chen baked 404 pies on Monday.
She sold some pies on Tuesday and had 139 pies left.
On Wednesday, he sold 178 less pies than on Tuesday.
How many pies did she sell on Wednesday?
Unit 2 (18)
Susie gave 36 pencils to Lily and 88 pencils to Jenny.
Then, she bought another 67 pencils and found that she had 250 pencils in the end.
How many pencils did Susie have at first?
Unit 5-6 Multiplication and Division
Unit 5 (10)
Mrs Wong gave away 10 packets of cookies.
There were 3 cookies in each packet.
She had 15 cookies left.
How many cookies did she have at first?
Unit 6 (2)
Tony has thrice as many stamps as Siew Hoon.
If they have 48 stamps altogether, how many stamps does Siew Hoon have?
Unit 6 (9)
10 chairs cost as much as 5 radios.
If each chair cost $6, find the cost of 1 radio.
Unit 6 (10)
A book costs 3 times as much as a stapler.
If the book and the stapler cost $36, find the cost of the book.
Unit 7 Length
Q12
Ann had 2 m of cloth.
She used 89 cm of it to make a bag.
How much cloth did she have left?
Q12
Sally and Jeff are 240 cm tall.
Sally is 20 cm shorter than Jeff.
What is Sally’s height?
Unit 8 Mass
Q-1
The mass of a box full of nails is 190 kg.
The nails have a mass of 183 kg.
If I remove the nails and put in 86 kg of marbles, what is the total mass of the box of marbles?
Q-8
If you give Mr Lee 5 kg of apples and he sells 10 kg of apples, he will have 43 kg of apples left.
How many kilograms of apples does he have at first?
Q-9
⭐ + ⭐ + ⚪ = 32 kg
⭐ + ⚪ = 20 kg
A box has a mass of ⭐ + ⚪ + ⚪ .
What is the mass of the box?
Q-11
Ali is 12 kg lighter than Andy.
The mass of Sam is half the mass of Andy.
If the total mass of the 3 children is 78 kg, find Ali’s mass.
Q-12
A 127-kg sack of rice was shared among Jason, Melvyn and Quill.
Melvyn received twice as much rice as Quill.
Jason received 91 kg of rice.
How many kilograms of rice did Melvyn receive?
Q-13
When Sun puts some nuts equally into 5 packets, the mass of 1 packet of nuts if 12 g.
What is the mass of 1 packet of nuts if he puts the same amount of nuts equally into 3 packets?
Q-19
The total mass of Andy and Betty is 80 kg.
The total mass of Andy and Kite is 100 kg.
Betty and Kite have a total mass of 60 kg.
What is the mass of Andy?
Revision 2
Q-1
Dora collected 417 stamps.
Ting Ting collected 99 more stamps than Dora
How many stamps did they collect?
Q-5
3 books cost as much as 2 stationery sets.
Each stationery set cost $9.
Find the cost of 2 such books.
Q-6
5 boys and 1 girl collected 55 used MRT tickets.
The girl collected 15 used MRT tickets.
If each boy collected the same number of the used MRT tickets, how many used MRT tickets did each boy collect?
Q-11
How many ‘8’s are there from 1 to 100?
Q-13
The mass of an iron bar is thrice as heavy as a brick plus 14 kg.
If the total mass of the iron bar and 2 such bricks is 29 kg, what is the mass of the iron bar?
Q-14(b)
Fill in the missing number in each box.
Q-20
Lin Chen had 8 more stamps than Katy.
When Katy gave Lin Chen 9 stamps, Lin Chen had 43 stamps altogether.
How many stamps did Katy have at first?
Unit 9-10 Money
Unit 9 Q-16
A book cost $2 more than a pen.
2 such books and a pen cost $22.
Find the cost of the pen.
Unit 10 Q-1
1 book and 2 identical pens cost $30.
1 book and 1 pen cost $22.
Find the cost of 1 pen.
Unit 10 Q-2
2 pencils and 4 pens cost $20.
Find the cost of 1 pencil an 2 pens.
Unit 10 Q-5
Roger and Kelly have $56.
If Roger has $32 less than Kelly, how much does Kelly have?
Unit 10 Q-9
If Grace buys a television set, she will be short of $150.
If she buys a toaster, she will have $375 left.
If the toaster costs $78, how much does the television set cost?
Unit 10 Q-15
Cecilia bought a bracelet and a ring, and had $299 left.
The ring cost $108.
If she had $751 at first, how much did the bracelet cost?
Revision 3
Unit Q-8
I think of a number.
I add 2 to it and multiply the sum by 10.
My answer is 50.
What is my number?
Unit Q-9
I think of a number.
I divide it by 3.
When I add 6 to the result, the answer is 10.
What is my number?
Revision 4
Unit Q-7
After paying for 2 books at $10 each, Mary had some money left.
Her father gave her $48 and she had $67 then.
How much money did she have at first?
Unit Q-12
📦 A = 16 kg
📦 B = 38 kg
📦 C is twice as heavy as the total mass of 📦 A and 📦 B.
What is the total mass of the 3 boxes?