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
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
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.
