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
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?
3 m
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?
2 m
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.
3 m
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)
4 m