Level 3
Roshel had some peaches and oranges in 2 baskets. In Basket A, the number of peaches to the number of oranges was in the ratio of 5 : 9. In Basket B, there were thrice as many peaches as oranges. After Roshel transferred 13 of the oranges from Basket A to Basket B, the number of fruits left in Basket A was 187 and the ratio of the number of peaches to the number of oranges in Basket B became 7 : 8. How many fruits were in Basket B in the end?
5 m
Level 3
Ethan had a total of 350 apples and lemons. He sold 13 of the lemons and bought another 14 apples. In the end, the number of apples he had was 14 the number of lemons. How many more lemons than apples did he have at first?
4 m
Level 3
Jaslyn had some $10 notes and some $5 notes. 47 of the notes were $10 notes and the rest were $5 notes. After Jaslyn had spent $450 worth of $5 notes and 14 of $10 notes, she had 34 of the notes left. Find the number of $5-notes Jaslyn had left.
4 m
Level 3 PSLE
Sandra made some biscuits to sell. 34 of them were chocolate biscuits and the rest were almond biscuits. After selling 210 almond biscuits and 56 of the chocolate biscuits, she had 15 of the biscuits left. How many biscuits did Sandra sell?
4 m
Level 3
Xavier invited 12 more boys than girls to his birthday party. 23 of the boys and 57 of the girls turned up at the party. A total of 30 children who were invited did not turn up. How many children did he invite?
4 m
Level 3
In a theme park, there are 294 more girls than boys. 29 of the girls and 13 of the boys wear glasses. If 14 of the children wear glasses, how many children are there in the theme park?
4 m
Level 3
Billy put all his stickers into 30 large albums and 10 small albums. Each large album can hold 10 more stickers than each small album. 16 of his stickers were put into all the small albums and the rest were put into the large albums. How many stickers can be put into one large album?
5 m
Level 3
The figure is not drawn to scale. ∠BAC = 40°, BA = BC and AF//BE. Given that ∠z is 12 of ∠x and ∠z is 3 times of ∠y, find
  1. ∠z
  2. ∠w.
4 m
Level 3 PSLE
Wendy spent 16 of her money on a dress and 3 belts. The dress cost 2 times as much as each belt. Wendy spent 34 of her remaining money on a watch. She spent $160.65 more on the watch than on the 3 belts.
  1. What fraction of Wendy's money was spent on each belt?
  2. How much money did Wendy have at first?
5 m
Level 3
The average number of boys in 1A, 1B and 1C is 18. This is 4 more than the average number of girls in the 3 rooms. 27 of the total number of girls are in 1C. 32 of the number of girls in 1B is the same as 37 of the total number of girls in the 3 rooms. What fraction of the total number of boys in the 3 rooms is in 1A if there are 40 pupils in 1A?
5 m
Level 3
There were some pupils in a museum. 13 of the pupils lined up in 16 short rows and 12 of the pupils lined up in 6 long rows. The remaining pupils did not line up. There are 12 more pupils in each long row than each short row.
  1. What fraction of the pupils did not line up?
  2. How many pupils lined up?
5 m
Level 3
Betty had a total of 39 pieces of $2 and $100 notes at first. She spent 25 of the number of $2 notes and received another 9 pieces of $100 notes from her mother. After that, the number of $100 notes she had was 12 of the remaining notes. How much money did Betty have at first?
5 m
Level 3
Henry and Peter had $690. Henry spent 49 of his money on a television. Peter spent 14 of his money on a stereo system. The television cost $140 more than the stereo system. How much money had Henry left?
5 m
Level 3
The number of ten-cent coins in a jar was 13 the number of fifty-cent coins. Zane took out 19 fifty-cent coins and exchanged them for ten-cent coins. Then he put the money back into the jar. The number of fifty-cent coins became 58 the number of ten-cent coins. How much money was there in the jar?
5 m
Level 3
Nick spent $716 on jackets and cardigans. The number of cardigans he bought was 12 the number of jackets he bought. The cost of a cardigan was $11 more than the cost of a jacket. He paid $180 more on jackets than on cardigans. Find the cost of 8 jackets and 5 cardigans.
5 m
Level 3
A shop owner paid a total of $520 for some shirts and some blouses. He paid $200 less for the shirts than the blouses. Each blouse cost $4 more than each shirt. The number of shirts he bought was 23 of the number of blouses bought.
  1. How much did he pay for all the shirts?
  2. How many shirts did he buy?
5 m
Level 3
A train left the city with some passengers. At the first station, 15 of the passengers alighted and 16 boarded the train. At the second train station, 13 of the passengers alighted and 17 boarded the train. All 33 passengers alighted from the train at the final train station. How many passengers were there in the train when it left the city?
5 m
Level 3
Three girls, Isabelle, Zoe and Diana had a total of 1680 marbles. Some exchanges were made. First, Isabelle gave Zoe as many marbles as Zoe had. After that, Zoe gave 34 of whatever she had then to Diana. Finally, Diana gave 27 of whatever she had to Isabelle. As a result, they each had the same number of marbles. How many marbles did Isabelle have at first?
5 m
Level 3 PSLE
A square, not drawn to scale, is made up of four triangles A, B, C and D. The area of A is 110 the area of the square while the area of B is 16 the area of the square.
  1. The total areas of A and B is 240 cm2. What is the length of each side of the square?
  2. What fraction of the square is Area of D?
5 m
Level 3
There were 801 students at a cinema at first. After 27 of the girls and 12 of the boys left, there were still 103 more boys than girls at the cinema. How many boys were there at first?
5 m