Level 1
Jelicia bought 30 banana cupcakes, 36 raisin cupcakes and 54 walnut cupcakes. Find the ratio of the number of raisin cupcakes to the total number of banana and walnut cupcakes. Leave your answer in the simplest form.
1 m
Level 2
At a concert, 60% of the audience were children. There were 7 times as many men as women. What percentage of the audience were men?
2 m
Level 2
14 of the people are adults.
56 of the remainder are boys.
There are 30 more boys than adults.
How many people are there?
2 m
Level 3
14 of the people are adults.
58 of the remainder are boys.
There are 70 more boys than adults.
How many people are there?
2 m
Level 3
At the school's recent donation drive, for every $1 donated by a child, an adult donated twice the amount. There were 5 times as many children as adults who were at the event. There were 23 times as many girls as boys at the event. Given that a total amount of $1470 was collected during the event, how many girls were at the event?
4 m
Level 3
In a school, the ratio of adults to the number of children is 12 : 7.
The ratio of the number of boys to the number of girls is 3 : 2.
There are 70 more boys than girls.
How many people are there in the school?
3 m
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 of other expenses is 1 : 4.
  1. How much does Adam save?
  2. How much less does Adam spend on food than other expenses?
3 m
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.
  1. What fraction of his allowance is spent on food?
  2. What fraction of his allowance is spent on the remaining expenses?
  3. How much did he spend on food?
3 m
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?
3 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
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.
  1. Find the ratio of the number of red pens to the number of blue pens to the number of green pens in the box.
  2. How many green pens were there?
4 m
Level 3
The ratio of saloon cars to the total number of cars on display in Ken's car shop was 2 : 7. 25 of the remaining bikes on display were family cars and the rest were electric cars and sports cars in the ratio of 10 : 3. If there were 16 more electric cars than saloon cars, how many sports cars were there?
4 m
Level 3
In the stationery shop, 14 of the books sold were Math books. 13 of the remaining books sold were English books. The ratio of the number of English books sold to the number of Chinese books was 7 : 6. The number of Science books sold was 56. How many books were sold altogether?
4 m
Level 3
At a school sports festival, 13 of the participants were P5 and P6 students. 25 of the remaining participants were P3 and P4 students. The rest were P1 and P2 students in the ratio of 3 : 7 respectively. There were 208 fewer P1 students than the total number of P5 and P6 students. How many students were there at the school sports festival?
4 m
Level 3
At a school carnival, each boy received 3 packets of sweets and each girl received 4 packets of sweets. Each accompanying adult received 2 packets of sweets. 27 of the people at the school carnival were adults. The ratio of the number of boys to the number of girls at the carnival was 5 : 8. Given that only 6601 packets of sweets were given away, how many people were there at the carnival?
4 m
Level 3
Mr Ken sold some mangosteens, mangoes and lemons. The ratio of the number of mangosteens sold to the total number of fruits sold was 3 : 10. The ratio of the number of mangoes sold to the number of lemons sold was 2 : 19. He sold 110 more lemons than mangosteens. Find the total number of fruits that he sold.
4 m
Level 3
Class 5 Goodness and 5 Love had the same number of students. The ratio of the number of girls in 5 Goodness to the number of girls in 5 Love was 1 : 13. The ratio of the number of boys in 5 Goodness to the number of boys in 5 Love was 7 : 1.
  1. What is the ratio of the number of boys to the number of girls in Class 5 Goodness?
  2. If there were 33 fewer boys than girls in Class 5 Love, how many students were there each class?
4 m
Level 3
Alan, Benjamin and Charles shared a bag of toy blocks. Benjamin took 35 as many toy blocks as Charles. Alan took twice as many toy blocks as the total Benjamin and Charles took. After Alan had given 20 to Benjamin and 4 to Charles, Benjamin gave 5 to Charles. In the end, all three of them had the same number of toy blocks. Find the difference between the number of toy blocks that Alan and Benjamin had at first.
4 m
Level 3
Adam has 300 stickers in 3 colours.
40% of the stickers are blue.
The number of red stickers is 13 that of yellow stickers.
  1. What percentage of the stickers are yellow?
  2. How many red stickers are there?
3 m