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 3
Ethan and Liam had 400 marbles in total. Liam had 26 marbles more than Ethan at first. After Ethan and Liam played a game with Cathy, Ethan had 114 as many marbles as Liam. If Ethan lost as many marbles as Liam to Cathy, find the number of marbles that Ethan lost to Cathy.
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 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 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 The number of girls in the dance club was 25 the number of boys in it. The number of girls in the computer club was 67 the total number of students in it. The total number of students in the dance club was 12 the total number of students in the computer club. Find the ratio of the number of boys in the computer club to the number of boys in the dance club.
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)
