Level 3
Adam receives his allowance of $250.
The ratio of Adam's spending to Adam's saving is 2 : 3.
The ratio of Adam's spending on food to the remaining expenses is 1 : 4.
What fraction of his allowance is spent on food?
What fraction of his allowance is spent on the remaining expenses?
Level 2
There are 264 passengers on board a ship. The ratio of children and adults is 4 : 9. There are 18 more men than women. How many men are there on the ship?
Level 2
A box of cookies is shared among three children. Fernando gets 3 times as many cookies as Mary. Tessa gets twice as many cookies as Fernando. What fraction of the box of cookies does Fernando get?
Level 2
The figure is made up of three triangles, ABC, XYZ and DEF not drawn to scale. The area of triangle XYZ is six times the area of triangle ABC. The area of triangle ABC is 13 of triangle DEF. The area of triangle ABC is 12 cm2. What is the total area of the shaded parts?
Level 2
The figure is made up of three triangles, ABC, XYZ and DEF not drawn to scale. The area of triangle XYZ is six times the area of triangle ABC. The area of triangle ABC is 13 of triangle DEF. The area of triangle ABC is 12 cm2. What is the total area of the shaded parts?
Level 3
The figure is not drawn to scale. The ratio of the area of the rectangle to the area of the circle to the area of the triangle is 21 : 17 : 4. If 14 of the triangle and 37 of the rectangle are shaded, what is the ratio of the total shaded area to the total of the unshaded area? Leave your answer in the simplest form.
Level 3
The figure is not drawn to scale. The ratio of the area of the rectangle to the area of the circle to the area of the triangle is 21 : 17 : 4. If 14 of the triangle and 37 of the rectangle are shaded, what is the ratio of the total shaded area to the total of the unshaded area? Leave your answer in the simplest form.
Level 3
There are 20% as many green beads as red beads in May's collection of beads. The number of purple beads is 30% fewer than the number of red beads. There are 330 more purple beads than green beads.
Find the total number of beads in the collection.
What percentage are the number of red beads as compared to the number of purple beads? Leave your answer as a mixed number in its simplest form.
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
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
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.
