Level 3
Renee had $420 less than Tom. Tom spent 0.6 of his money and Renee spent 0.5 of her money. In the end, Tom and Renee had the same amount of money left. Find the amount of money Renee had at first.
3 m
Level 3
At a wedding function, the ratio of the number of men to the number of women was 13 : 5. If 35% of the women left, what percentage of the men must leave so that there will be an equal number of men and women remaining?
3 m
Level 3
In a box, 45% of the pens are red, 15% are blue and the rest are yellow.
  1. What fraction of the pens is yellow? Give your answer in the simplest form.
  2. There are 588 yellow pens in the box. How many pens are there in the box altogether?
3 m
Level 3
Last year, there were 48 members in a school music club. The number of girls was 35 the number of boys.
  1. What percentage of the members were girls last year?
  2. This year, 4 boys left the club and 6 girls joined the club. What percentage of the members are girls this year?
4 m
Level 3
Victor needed exactly 90 m of cloth to make 18 small identical banners and 9 big identical banners. He had some cloth which was just enough to make all the small banners and 5 big banners. He used 12112 cm for each small banner.
  1. How much cloth would he need to make 1 big banner?
  2. How much cloth was he short of to make the remaining big banners?
4 m
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.
4 m
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.
  1. Find the total number of beads in the collection.
  2. 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.
4 m
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?
4 m
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?
4 m
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?
4 m