Level 3
2 u - 3 p = 5
3 u + 2 p = 40

Find the following values.
  1. 1 u
  2. 1 p
3 m
Level 3
3 u - 4 p = 1
5 u + 7 p = 19

Find the following values.
  1. 1 u
  2. 1 p
3 m
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?
3 m
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.
3 m
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.
3 m
Level 3
2 u - 3 p = 1
2 p + 3 u = 21

Find the following values.
  1. 1 u
  2. 1 p
3 m
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?
3 m
Level 3
2 u + 3 p = 37
2 p - 3 u = 3

Find the following values.
  1. 1 u
  2. 1 p
3 m
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?
3 m
Level 3
7 p - 3 u = 25
5 u - 4 p = 12

Find the following values.
  1. 1 u
  2. 1 p
3 m