Level 3
Cathy and Queenie have some money. If Cathy spends $7, she will have 45 as much money as Queenie. If Queenie spends $3, Cathy will have 56 as much money as Queenie. How much money does Cathy have?
4 m
Level 3
At the bird park were some adults. 12 of the number of tourists was equal to 2 times the number of locals. When another 19 tourists entered and 51 tourists left, the ratio of the number of tourists to the number of locals become 7 : 2. Find the number of tourists at the bird park at first.
5 m
Level 3
Mr Yap bought some pizzas for a group of pupils. There is an equal number of girls and boys. The girls received 5 times as many pizzas as the boys. Each boy ate 13 of a pizza and the boys finished all the pizzas given to them. Each girl ate 16 of a pizza and the girls had 18 12 pizzas left. How many pizzas did Mr Yap buy?
5 m
Level 3
At a conference made up of speakers and participants, there were 10% more men than women. The ratio of the male speakers to female speakers was 8 : 5. There was an equal number of male and female participants.
  1. Find the ratio of male speakers to male participants at the conference at first.
  2. Halfway, 89 male participants left the conference and another 73 female participants joined the conference. In the end, there were 34 as many male participants as female participants remaining behind. How many speakers were there at the conference?
5 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 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
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
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Level 3 PSLE
The figure is made up of three rectangles. A straight line drawn across the rectangles, divides the figure into two parts: shaded and unshaded.
  1. The perimeter of the shaed part is 8 cm longer than the perimeter of the unshaded part. What is the length of AB?
  2. What is the area of the shaded part?
4 m
Level 3
In the figure, RKLP is a trapezium and triangles RPN and NRM are isosceles triangles. QJ, QL and JL are straight lines. RP = RN = NM. Find
  1. ∠x
  2. ∠y.
5 m
Level 2
3 chairs and 3 tables cost $180. 2 similar chairs and 1 similar table cost $110. How much is a table?
2 m
Level 2
Anna had 76 more marbles than Wendy at first. Wendy gave 19 of her marbles to Anna. Anna now has 3 times as many marbles as Wendy. How many marbles did Wendy have at first?
2 m
Level 3
A purple carton has 4 times as many marbles as a pink carton. Jack added 44 marbles to the purple carton and 21 marbles to the pink carton. If there are 3 times as many marbles in the purple carton as the pink carton, what was the total number of marbles in the two carton before Jack added the marbles?
3 m
Level 3
The figure shows two stacks of identical glasses. The height of the first stack of 8 glasses is 44 cm. The height of the second stack of 5 glasses is 32 cm. The height of the space in the shelf is 60 cm. What is the maximum number of glasses that you can put in a single stack to be placed in this shelf?
3 m
Level 3
The cost of the tickets for 8 mothers and 8 children is $72. The cost of the tickets to the theme park for 3 mothers and 5 children is $35. What is the cost of the tickets for 3 mothers and 26 children?
4 m
Level 3
Mrs Lin bought 5 kg of shrimp and 2 kg of beef for $96. If she brought 2 kg of shrimp and 5 kg of beef, she would have to pay $3 less. How much did 1 kg of shrimp cost?
4 m
Level 3
There are 151 marbles in a big basket and a small basket altogether. The total number of marbles in 3 big baskets and 8 small baskets is 568. How many more marbles are there in a big basket than a small basket?
4 m
Level 3
The total cost of 5 suits and 5 hoodies was $285. Tina bought 7 such suits, 5 such hoodies and a cardigan for $543. If the total cost of a cardigan and a suit was $150, find the difference in cost between the suit and the cardigan.
4 m
Level 3
When Mrs Yang was 45 years old, her son was 2 times her daughter's age. Mrs Yang would be twice her son's age when her daughter was 30 years old. How old would Mrs Yang be when her daughter was 18 years old?
4 m
Level 3
Oscar is 3 times as old as his brother. In 14 years' time, Oscar will be 10 years less than twice of his brother's age. How old was Oscar 2 years ago?
4 m