Level 2
The number of red and blue stickers are equal.
If Adam gives away 40 red stickers and 10 blue stickers,
the ratio of red stickers to blue stickers becomes 2 : 5.
How many stickers are there at first?
3 m
Level 3
Gem bought 7 novels of the same kind during a sale. Tina bought 3 of the same books. She also bought 3 postcards at $4.10 each. Altogether, she spent $3.10 more than Gem. What was the amount Tina spent?
3 m
Level 2
Nelly has $78 less than Sandy. Patrick has $59 more than the total amount that Nelly and Sandy have. If Patrick has $523 more than Nelly, how much money does Patrick have?
2 m
Level 3
Pierre had $77.70 more than Henry. After Henry had spent 23 of his money, Pierre had $114.50 more than Henry. How much money did Pierre have at first?
4 m
Level 2
After using 17 of her sugar, Mrs Lim bought another 75 kg of sugar. As a result, Mrs Lim now has 97 as much sugar as what she had at first. How many kilograms of sugar did Mrs Lim have at first?
3 m
Level 3
Janet had some pencils, erasers and rulers. The ratio of the number of pencils to the number of erasers was 5 : 1. After giving away 16 erasers, the ratio of the number of rulers to the number of erasers was 4 : 1. Janet bought another 184 rulers. As a result, there were an equal number of pencils and rulers. How many erasers did she have at first?
4 m
Level 3
Adam has some blue stickers and red stickers.
If 50 blue stickers are added, 70% of the stickers will be red stickers.
If 200 blue stickers are added, 40% of the stickers will be red stickers.
  1. How many blue stickers are there?
  2. How many red stickers are there?
4 m
Level 3
Adam has some blue stickers and red stickers.
If 50 blue stickers are removed, 40% of the stickers will be red stickers.
If 200 blue stickers are removed, 70% of the stickers will be red stickers.
  1. How many blue stickers are there?
  2. How many red stickers are there?
4 m
Level 3
Adam has some blue stickers and red stickers.
If 100 blue stickers are added, 40% of the stickers will be red stickers.
If 50 blue stickers are removed, 70% of the stickers will be red stickers.
  1. How many blue stickers are there?
  2. How many red stickers are there?
4 m
Level 3
The number of lava cakes on display at a cafe was 34 of the number of cupcakes on display. After 20 lava cakes were bought and the staff added another 30 cupcakes, the number of cupcakes was twice the number of lava cakes. The last group of customers bought 5 cupcakes each, finishing all the cupcakes on display. How many customers were there in the last group?
4 m
Level 3
If Adam gives Bryan 30 stickers,
the number of stickers that Adam will have is 25% of Bryan's.
If Bryan gives Adam 3 stickers,
the number of stickers that Adam will have is 40% of Bryan's.
  1. How many stickers does Adam have?
  2. How many stickers does Bryan have?
4 m
Level 3
The average mass of a group of girls was 37 kg. When Jamie, a girl, joined the group, the average mass of the group became 34 kg. If Jamie had a mass of 22 kg, how many girls were there in the group in the end?
3 m
Level 3
The ratio of the number of $2-notes to $10-notes in Dana's bag was 1 : 3. Dana exchanged 14 pieces of $10-notes for $2-notes. She then had an equal number of $2-notes and $10-notes. What was the total value of $2-notes and $10-notes in Dana's bag at first?
4 m
Level 3
The average height of some boys is 145 cm. When 3 girls, with a total height of 393 cm, are included, the average height if the children becomes 142 cm. How many children are there altogether?
3 m
Level 3
Simon has some black and red balls. The total mass of all his balls is 242 g. He has 5 more red balls than black balls. The average mass of the black balls is 6 g. The average mass of the red balls is 10 g. How many balls does Simon have altogether?
3 m
Level 3
Last Saturday, Jack withdrew an equal number of $10-notes and $50-notes from the bank. After spending 58 pieces of $10-notes and 10 pieces of $50-notes, the ratio of the remaining $10-notes to $50-notes became 2 : 5.
  1. How many $10-notes had he left?
  2. What was the total value of the notes which Jack withdrew from the bank?
4 m
Level 3
The average mass of a group of girls is 45 kg. If one more girl who weighs 75 kg joins the group, the new average mass of the group will become 48 kg. Find the total number of girls in the group.
3 m
Level 3
The average number of pages Joan read in a certain number of days was 15. In the next four days, Joan read another 88 pages. As a result, the average number of pages she read increased to 17. How many days did Joan read in total?
3 m
Level 3
The average test score of a class was 60 marks. After two students who scored an average marks of 96 marks transferred out of the class, the average score of the remaining students became 58 marks. How many students were there in the class at first?
3 m
Level 3
The average amount of money collected by a group of students at a flag day event was $125. When another 15 students turned up to help, the total amount donated increased by $1275 and the average amount of money collected became $113. How many students were there in the group at first?
3 m