Level 2 PSLE
At first, Lily had an equal number of red and green beads . She gave away 23 of her red beads and some green beads. In the end, she was left with 14 of her beads. What fraction of the green beads was Lily left with?
Level 3
At a fruit stall, there were 399 mangosteens and lemons at first. 34 of the mangosteens and 23 of the lemons were sold. In the end, there were same number of mangosteens and lemons. How many more mangosteens than lemons were sold?
Level 2 PSLE
A florist had some roses and carnations. She sold 13 of the roses and 59 of the carnations. 712 of the flowers sold were roses. What fraction of the flowers did the florist sell?
Level 3
The ratio of Henry's total points to that of Vincent's in a mock test was 6 : 7. In the next mock test, Henry's points increased by 70%. By what percentage must Vincent's points be increased if their total points were to be the same? Round off the answer to the nearest whole number.
Level 2 PSLE
Lina and Juno folded paper cranes over two days. On Monday, Lina folded 13 paper cranes more than Juno. On Tuesday, Lina folded another 15 paper cranes and Juno folded another 8. At the end of the two days, Lina made 47 of the total number of cranes. What was the number of paper cranes that Juno folded?
Level 3 PSLE
On Saturday, the number of adults to boys to girls visiting a zoo was 3 : 6 : 5. On Sunday, the number of adults visiting the zoo remained the same. However, the number of boys increased by 50% and the number of girls decreased by 20%.
What was the ratio of the number of adults to boys to girls visiting the zoo on Sunday?
On Saturday, 572 boys and girls visited the zoo. What was the total number of visitors at the zoo on Sunday?
Level 3
The ratio of the number of boys to the number of girls in a class is 3 : 5. The ratio of the pupils in the class who scored distinction to those who did not score distinction is 4 : 1. The ratio of the boys who scored distinction to those who did not score distinction is 14 : 1. What is the ratio of girls who scored distinction to the girls who did not score distinction?
Level 3 PSLE
In a school, 60% of the members in the Art Club and 70% of the members in the IT Club are boys. Both clubs have the same number of girls. The Art Club has 15 less boys than the IT Club. How many members are there in the IT Club?
Level 2 PSLE Adam, Ben and Charlie shared the cost of a gift.
The ratio of Adam's share to the total share of Ben and Charlie was 1 : 3.
The ratio of Ben's share to the total share of Adam and Charlie was 1 : 5.
Charlie's share was $100 more than Adam's share.
How much did the gift cost?
Level 3
The patterns show a sequence of shapes. Each shape has a number of small right-angled triangles. A dot is placed at each point where there is a vertex of one or more right-angled triangles. The total number of dots and the number of small right-angled triangles of each figure is shown in a table.
Find the total number of dots required to form Pattern 4.
Find the total number of dots required to form Pattern 20.
Find the number of small right-angled triangles in Pattern 50.
Level 3
The patterns show a sequence of shapes. Each shape has a number of small right-angled triangles. A dot is placed at each point where there is a vertex of one or more right-angled triangles. The total number of dots and the number of small right-angled triangles of each figure is shown in a table.
Find the total number of dots required to form Pattern 4.
Find the total number of dots required to form Pattern 20.
Find the number of small right-angled triangles in Pattern 50.
Level 3
Some patterns of shaded and unshaded small triangles is given. The unshaded triangles are those which have at least one side on the edge of the big triangle. All of the other small triangles are shaded. The table below shows numbers of small triangles.
Find the total number of triangles in Pattern 80.
Find the number of shaded triangles in Pattern 40.
Find the number of unshaded triangles in Pattern 50.
Level 3
Some patterns of shaded and unshaded small triangles is given. The unshaded triangles are those which have at least one side on the edge of the big triangle. All of the other small triangles are shaded. The table below shows numbers of small triangles.
Find the total number of triangles in Pattern 80.
Find the number of shaded triangles in Pattern 40.
Find the number of unshaded triangles in Pattern 50.
Level 2 PSLE
At first, Logan had $90 and Polly had $60. Each bought a table at the same price. The amounts of money Logan and Polly had left were in the ratio 4 : 1. How much did the table cost?
Level 3
The figure is not drawn to scale. It is made up of a square and a rectangle. The ratio of the area of the square to that of the rectangle is 3 : 4. After the shaded part is cut out, the ratio of the area of unshaded part of the rectangle to that of the unshaded part of the square is 2 : 1. Given the length of the square is 9 cm, find the area of the shaded part.
Level 3
The figure is not drawn to scale. It is made up of a square and a rectangle. The ratio of the area of the square to that of the rectangle is 3 : 4. After the shaded part is cut out, the ratio of the area of unshaded part of the rectangle to that of the unshaded part of the square is 2 : 1. Given the length of the square is 9 cm, find the area of the shaded part.
Level 3
In a table-tennis competition, every player plays against every other player twice. Every player plays the same number of games. There are a total of 56 games played. How many players are there?
Level 3
In a jar, the ratio of the number of yellow balls to the number of purple balls was 1 : 3. Each time, 5 yellow and 7 purple balls were taken out of the jar. A while later, only 120 purple balls were left in the jar. What was the total number of balls in the jar at first?
Level 3
The ratio of the boys to the girls in school was 5 : 2. After 6 boys went home and 8 new girls came, there were 7 more boys than girls in the end. Find the number of children in the school at first.
Level 3
The ratio of Zoe's to Isabelle's incomes was 6 : 1 at first. After Zoe and Isabelle were given another $654 and $341 respectively, Zoe had 4 times as much money as Isabelle. How much did both of them have in the end?
Level 3
At a theme park, there were 60% as many boys as girls and 30% more adults than boys. Given that there were 90 more adults than boys at the theme park, how many children were there altogether?
