Level 3
This figure is not drawn to scale. It is made up of 3 squares. The ratio of the area of the smallest square to the largest square is 2 : 9 while the shaded area is 37 of the unshaded area. What is the ratio of the shaded area to the area of the smallest square?
3 m
Level 3
The square is divided into 4 parts, W, X, Y and Z. W and X form 12 of the square. The area of Y is double of the area of Z, while the ratio of the area of X to the area of W is 1 : 3. What fraction of the square is the sum of the area of X and Y? Leave the answer(s) in the simplest form.
3 m
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Level 3 PSLE
At first, a bag contained 9 green beads and some black beads. After some green beads were added, 25 of the beads were black . After 56 red beads were added to the bag and now, 29 of the beads were black. What was the number of green beads added?
2 m
Level 3
Diana baked curry, sardine and chicken buns. She baked 60 curry buns. 20% of her buns were chicken. She baked 12 more sardine buns than chicken buns. How many curry buns and sardine buns did Diana bake altogether?
3 m
Level 2
Vincent had 710 as many stamps as Isabelle. After Vincent bought another 30 stamps, he had 15 less stamps than Isabelle. How many stamps did Vincent have at first?
2 m
Level 3
The figure, not drawn to scale, shows a rectangle, WXYZ, which is divided in 4 parts, A, B, C, D. The ratio of the area of D to the area of C is 1 : 3. The ratio of the area of C to the area of B is 2 : 7. If the area of A is 238 cm2 , what is the area of the rectangle WXYZ?
3 m
Level 3
Yvonne baked 140 cupcakes. 35 of the cupcakes were vanilla cupcakes. The rest were milo cupcakes. She gave an equal number of vanilla cupcakes and milo cupcakes away and had 5 times as many vanilla cupcakes as milo cupcakes left. How many cupcakes did she give away?
3 m
Level 3
The figure is made up of two squares and a triangle. The ratio of the area of Triangle X to that of Square Z is 11 : 1. The ratio of the shaded area to that of the unshaded area is 1 : 3. If the difference between areas of Triangle X and Square Y is 464 cm2, what is the area of Square Z?
3 m
Level 3
Lisa's and Natalie's savings were in the ratio of 4 : 9. Both of them shared the cost of their grandfather's gift equally. Lisa's remaining savings was 14 as much as Natalie's savings. What percentage of her savings did Lisa spend? Correct the answer to 1 decimal place.
3 m
Level 3
Wendyville School had 1220 students and Janeville School had 30% more students. When an equal number of students left each school, the ratio of the students in Janeville School to that in Wendyville School became 2 : 1. How many students were there in both schools in the end?
3 m
Level 2
Jack had 25 the number of stamps David had at first. After David gave Jack 45 of his stamps, Jack had 35 the number of stamps David had. How many stamps did Jack have at first?
2 m
Level 2
Zoe paid a total of $72 for an eraser, a ruler and a pen. The eraser cost 27 of the total cost of the ruler and the pen. The pen cost 15 of the total cost of the eraser and the ruler. Find the total cost of the pen and the eraser.
2 m
Level 3 PSLE
At first, the ratio of the number of boys to the number of girls in a club was 4 : 1. After 10 boys and 10 girls joined the club, the ratio became 3 : 1.
  1. Did the percentage of members who were girls increase (1), decrease (2) or remain the same (3)? Give your answer in number. (Eg Increase = 1)
  2. In the end, how many boys were there in the club?
3 m
Level 3
Study the pattern.
  1. Complete the table.
  2. How many dots are there on each side of the triangle if the total number of dots on the triangle is 102?
3 m
Level 2 PSLE
Pupils in a school are put into two groups for an excursion. 25 of the pupils are in Group A and the rest in Group B. 14 of the pupils in Group A are boys. In the school, 310 of the pupils are boys. What fraction of the pupils in Group B are boys?
2 m
Level 2
George's age is 25 his brother's age now. In 16 years' time, his age will be 23 that of his brother's. How old is George now?
2 m
Level 1 PSLE
Charles has a number of 10¢, 20¢ and 50¢ coins in the ratio 4 : 2 : 1. The total value of all the coins is $156. What is the total value of the 20¢ coins?
3 m
Level 2 PSLE
Jane bought 2 fans of the same model at a sale. She paid $144.50 for them.
  1. What was the price of a fan before discount?
  2. Tom also bought 2 such fans at the price before discount. How much more did Tom pay than Jane?
3 m
Level 2
There were 57 as many parents as kids on a bus. At the first bus stop, 9 parents and 9 kids boarded the bus. There were then 45 as many parents as kids. How many parents were on the bus at first?
2 m
Level 3
The figure shows a 5-sided figure with diagonal lines drawn within it.
  1. Complete the table.
  2. Find the number of diagonals of a figure with 15 sides.
3 m