Level 3
The table shows the prices of some seafood items in a local wet market. Ashley bought 1 kg of fish and 1 kg of prawns. How much did she pay for her purchases?
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
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 first four figures of a pattern as shown.

The table shows the number of circles and squares used in each figure.
  1. Find the values of (i) and (ii). Give your answers in the following format. (Eg 1, 2)
  2. How many circles are there in Figure 39?
  3. How many squares are there in Figure 60?
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 ratio of the number of ducks in Farm A to the number of ducks in Farm B was 5 : 9. There were 48 fewer ducks in Farm A than in Farm B. When 5 ducks escaped from Farm B, the farmer in Farm B bought another 9 ducks. What was the new ratio of the number of ducks in Farm A to the number of ducks in Farm B in the end? Give your answer in the simplest form.
4 m
Level 3
Adam has stickers in 4 colours.
57 of the stickers are blue.
The rest of the stickers are red, yellow and green in the ratio of 1 : 5 : 3.
If there are 40 more yellow stickers than green stickers,
how many blue stickers are there?
3 m
Level 3
The ratio of the number of papayas to the number of peaches that a fruit seller had was 5 : 11. After he sold half of the peaches, there were a total of 252 papayas and peaches left at the fruit stall.
  1. How many papayas were there at the stall?
  2. If he sold the remaining peaches in bags of 6 at $3.50 per bag, how much would he receive for them?
4 m
Level 3
In a school, there is a total of 400 people.
30% are adults.
The rest are children.
The number of boys and girls is in the ratio of 2 : 5.
  1. What percentage of the people are boys?
  2. How many girls are there?
3 m