Level 3
50% of Amin's money was $350 less than Dave's money. When Amin spent 45% of her money and Dave spent 60% of his money, they had the same amount of money left. Find the amount of money Dave had at first.
4 m
Level 3
In January, Anna and Ryan had stamps in the ratio 5 : 2. In February, each of them gave away the same number of stamps. Anna then had thrice as many stamps as Ryan.
  1. Find the ratio of the number of stamps Ryan had in January to the number of stamps he had in February.
  2. Find the ratio of the total number of stamps both had in January to the total number of stamps both had in February.
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
Mary had a ribbon 23 m long. She cut off 19 m of the ribbon from each end and the remaining ribbon into shorter pieces each 118 m long.
  1. Find the length of the remaining ribbon after 19 m had been cut from each end.
  2. How many 118 m long pieces of ribbon did she get?
3 m
Level 3
The area of the triangle to the area of the rectangle in the figure is in the ratio 3 : 2. After the shaded rectangle of length 8 cm is removed from the figure, the ratio of the remaining area of the triangle to the remaining area of the rectangle is 5 : 3. Given that the area of the triangle is 32 cm2 more than the area of the rectangle, find the width of the shaded rectangle that is being removed.
4 m
Level 3
Adam has some blue stickers and red stickers.
If 500 blue stickers are added, 30% of the stickers will be red stickers.
If 500 red stickers are added, 20% of the stickers will be blue stickers.
  1. How many blue stickers are there?
  2. How many red stickers are there?
4 m
Level 3
Justin had $59.10 less than Betty. He spent 57 of his money on a stapler which cost $10.50. Betty spent 29 of her money on a vest. How much had Betty left?
4 m
Level 3
Ryan owned two shops selling milk tea. Shop A earned 40% more money than Shop B on Monday. On Tuesday, Shop A lost $110 while Shop B earned another $150. In the end, Shop B contributed to 58 of the total earnings of the two shops over the two days operation. How much did Shop A earn over the two days?
4 m
Level 3
Adam has some blue stickers and red stickers.
If 300 blue stickers are removed, 25% of the stickers will be blue stickers.
If 200 red stickers are removed, 20% 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 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
Madam Lee bought a sack of rice on Monday and cooked 112 kg of rice everyday. By Sunday, she was 12 kg short of rice. On which day did she cook 35 of the rice in the sack?
3 m
Level 3
Adam has some blue stickers and red stickers.
If 100 blue stickers are removed, 75% of the stickers will be blue stickers.
If 500 red stickers are added, 20% of the stickers will be blue stickers.
  1. How many blue stickers are there?
  2. How many red stickers are there?
4 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
Adam has 300 stickers in 3 colours.
40% of the stickers are blue.
The number of red stickers is 13 that of yellow stickers.
  1. What percentage of the stickers are yellow?
  2. How many red stickers are there?
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
Adam has 300 stickers in 3 colours.
40% of the stickers are blue.
The rest are red and yellow stickers in the ratio 2 : 3.
  1. What percentage of the stickers are yellow?
  2. How many red stickers are there?
3 m
Level 3
Shiyun, Kimberly and Yoko had jelly beans in the ratio of 8 : 4 : 3. After Shiyun gave 6 jelly beans to Kimberly and Yoko, the three of them had the same number of jelly beans. Find the total number of jelly beans the children had.
4 m
Level 3
Kylie bought some Geography books at $17 each. She also bought an equal number of History books at a different price. The average price of one Geography and one History book was $10. Kylie paid $70 more for the Geography books than the History books.
  1. What was the cost of one History book?
  2. How many Geography books did Kylie buy?
3 m
Level 3
The figure shows the Triangle PQR that is divided into 4 parts a, b, c and d. The line PZ divides the triangle into 2 equal parts. The ratio of Area a to Area b is 1 : 3 and the ratio of Area b to Area c is 5 : 2. Area d is 210 cm2. What is the area of Triangle PQR?
3 m