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?
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?
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.
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?
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.
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)
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?
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 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 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 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 PSLE The number of boys and girls taking part in a quiz are in the ratio 4 : 7. These students are put into two groups. 60% of the boys and 30% of the girls are in Group 1. The rest of the students are in Group 2.
What is the ratio of the number of students in Group 2 to Group 1? Give your answer in the simplest form.
The number of boys in Group 2 is fewer than 50. What is the largest possible total number of students taking part in the quiz?
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
This figure is not drawn to scale. A rectangular cuboid has been divided into 4 parts, A, B, C and D. The volume of A, B and C are in the ratio of 1 : 2 : 6. A is a cube and has a volume of 64 cm3. Find the total area of the shaded parts.
Level 3
This figure is not drawn to scale. A rectangular cuboid has been divided into 4 parts, A, B, C and D. The volume of A, B and C are in the ratio of 1 : 2 : 6. A is a cube and has a volume of 64 cm3. Find the total area of the shaded parts.
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
Sean and Jack have some money. If Sean gives $293 to Jack, the ratio of their money will be 3 : 5. If Sean gives $424 to Jack, the ratio of their money will be 1: 3. How much does Sean have?
Level 2
The figure, not drawn to scale, is made up of 3 circles. The ratio of the area of the smallest circle to the largest circle is 2 : 5 while the shaded area is 37 of the unshaded area. What is the
ratio of the shaded area to the area of the smallest circle?
Level 2
The figure, not drawn to scale, is made up of 3 circles. The ratio of the area of the smallest circle to the largest circle is 2 : 5 while the shaded area is 37 of the unshaded area. What is the
ratio of the shaded area to the area of the smallest circle?
Level 3
The amount of lemon syrup to the amount of water in Cup A is in the ratio 2 : 5. The amount of lemon syrup to the amount of water in Cup B is in the ratio 1 : 6. There is an equal amount of lemon syrup in both cups. Cup B contains 189 mℓ more water than Cup A. What is the amount of lemon syrup in Cup A? Leave the answer in mℓ.
Level 3
The figure is made up of a circle, a triangle and a square of sides 8 cm. The radius of the circle is 7 cm. The ratio of the area of the circle to the shaded area of the circle is 7 : 3. The ratio of the area of the square to the area of the triangle is 1 : 4. Given that 14 of the square is shaded, what is the total area of the unshaded figure?
(Take π = 227)
Level 3
The figure is made up of a circle, a triangle and a square of sides 8 cm. The radius of the circle is 7 cm. The ratio of the area of the circle to the shaded area of the circle is 7 : 3. The ratio of the area of the square to the area of the triangle is 1 : 4. Given that 14 of the square is shaded, what is the total area of the unshaded figure?
(Take π = 227)
Level 3
The figure is not drawn to scale. Three pentagons A, B and C are arranged as shown in the figure. The area of Pentagon A is 35 the area of Pentagon B. The area of Pentagon B is 35 the area of Pentagon C.
Find the ratio of the area of Pentagon A to the area of Pentagon C.
23 of Pentagon A is shaded. What fraction of the whole figure is not shaded?
Level 3
The figure is not drawn to scale. Three pentagons A, B and C are arranged as shown in the figure. The area of Pentagon A is 35 the area of Pentagon B. The area of Pentagon B is 35 the area of Pentagon C.
Find the ratio of the area of Pentagon A to the area of Pentagon C.
23 of Pentagon A is shaded. What fraction of the whole figure is not shaded?
