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
A cuboid has a volume of 300 cm3. Its base is a rectangle which has a perimeter of 32 cm. The ratio of the length to the breadth of the rectangle is 5 : 3. Find its height.
Level 3
Two identical pails C and D contained some water. Pail C was 14 filled and Pail D was 1/5 filled. The ratio of the total mass of Pail C and the water in it to the total mass of Pail D and the water in it was 8 : 7. The total mass of the two pails and the water they contained was 3150 g. What is the mass of an empty pail?
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
Abby, Becca, Clara and Demi jointly contributed to the cost of a present for their friend. Abby's contribution is 25 of the total contribution made by the four girls. The ratio of Demi's contribution to the total of Becca's and Clara's contribution is 4 : 1. What is the total contribution by the four girls if Becca's contribution is 15 of Clara's contribution and the total amount contributed by Abby and Demi is $132?
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?
Level 3
Tabitha purchased a bottle of rose syrup to make drinks. She used 37 of the liquid in January. She then used the remaining syrup in February and March in the ratio 3 : 7. Given that the amount of the rose syrup used in January was 0.18 ℓ more than that used on the February, how many millilitres of rose syrup did the bottle contain at first?
Level 3
There were some red, blue and green pens in a box. 19 of the pens were blue. The ratio of the number of red pens to the number of green pens was 3 : 5. There were 288 fewer blue pens than green pens.
Find the ratio of the number of red pens to the number of blue pens to the number of green pens in the box.
Level 2
In the figure, the ratio of the area of Circle X to Circle Y to Circle Z is 2 : 3 : 9. If 13 of X is shaded, what is the ratio of the shaded part to the unshaded part to the total figure?
Level 2
In the figure, the ratio of the area of Circle X to Circle Y to Circle Z is 2 : 3 : 9. If 13 of X is shaded, what is the ratio of the shaded part to the unshaded part to the total figure?
