Level 3
Some adult passengers are on a coach. If 25 tourists alight from the coach, the percentage of locals will increase from 15% to 40%. How many passengers are there in the coach?
3 m
Level 3
In a box, there are some mangosteens and lemons. If 80 more lemons are put into the box, the percentage of mangosteens will decrease from 70% to 30%. How many mangosteens are there in the box?
3 m
Level 3
A store owner had 505 kg of fresh honeydews. The honeydews contained 60% water when fresh. One week later, there was only 50% water left in the honeydews. What was the mass of the honeydews one week later?
3 m
Level 3
Wendy has a bag containing some violet and blue lollipops. If she adds in 15 violet lollipops, 25% of the lollipops in the bag are blue. If she adds in another 25 blue lollipops, 40% of the lollipops in the bag are blue. How many violet lollipops are in the bag?
3 m
Level 3
Two hours ago, a stallholder started his day with some durians and apples in the ratio of 5 : 2. There were 100 apples. Some of the durians were bought by Mrs Olivia. As a result, the number of durians became 35 of the apples.
  1. How many durians did the stallholder have left?
  2. How many durians must the stallholder buy in order to have an equal number of durians and apples?
4 m
Level 3
A bakery baked some kaya, strawberry and milo cupcakes. For every 3 kaya cupcakes that were baked, 2 milo cupcakes were baked. For every 4 kaya cupcakes that were baked, 3 strawberry cupcakes were baked.
  1. Find the ratio of the number of kaya cupcakes to strawberry cupcakes to milo cupcakes baked.
  2. After the bakery baked another 130 milo cupcakes, 30% of the cupcakes now were milo cupcakes. How many kaya cupcakes did the bakery bake?
4 m
Level 3
The number of boys to the number of girls in Primary 4 Kindness was 4 : 7. The number of boys to the number of girls in Primary 4 Joy was 4 : 7. Both classes had the same number of boys. When 18 girls from Primary 4 Kindness joined Primary 4 Joy, the ratio of the number of boys to the number of girls in Primary 4 Kindness became 2 : 3. Find the total enrolment of both classes.
4 m
Level 3
At a zoo, there were 35 as many adults as children at first. After 46 adults left, there were 116 more children than adults remaining at a zoo. How many adults were at the zoo at first?
3 m
Level 3
Will, Xavier and George had a total of 670 pens. The ratio of the number of pens Xavier had to the number of pens George had was 4 : 5. After Will and Xavier each gave away half of their pens, the 3 children had 395 pens left. How many pens did Xavier and George have at first?
4 m
Level 3
25% of the people are performers for a concert and the rest are spectators. 60% of the spectators are adults and there are 420 less child spectators than adult spectators. How many adult spectators must join so that 56% of the people are adult spectators?
4 m