Level 3
The petrol tank of Fred's convertible was 80% empty. He went to the petrol kiosk and topped up 25ℓ of petrol. When he reached the theme park, the petrol tank was 90% full. Given that he used 4ℓ of fuel to get to the theme park from the kiosk, find the capacity of the petrol tank.
3 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
In a container, there are candies of 3 colours, yellow, white and purple. There are 108 more white candies than purple candies. The number of purple candies is 12 more than the yellow candies. Given that the number of purple candies is 24% of the total number of candies in the container, how many more white candies are there than yellow candies?
4 m
Level 3
Ethan was fixing a jigsaw puzzle. On the second day, the number of pieces he fixed was 50% of the total number of pieces. After another two weeks, he fixed another 148 pieces and was left with 30% of the puzzle unfixed. How many pieces were left unfixed?
3 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 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?
2 m
Level 3
During a survey, some people responded that they preferred badminton to other sports. The ratio of the number of women to the number of men who liked badminton was 3 : 1. The ratio of the number of people who liked badminton to those who disliked it was 3 : 1. If 20% of the people who did not like badminton were women, what was the ratio of the number of men to the number of women chosen for the survey?
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
Farmer Nick has 4 rabbits. The mass of Rabbit G is the same as the average mass of the 4 rabbits. Rabbit H weighs 5 kg less than the average mass of the 4 rabbits. The mass of Rabbit I is 7 kg more than the average mass of the 4 rabbits. The mass of Rabbit J is 34 kg. Find the total mass of the 4 rabbits.
3 m
Level 3
In a school, 0.8 of the girls and 0.3 of the boys take part in CCAs. There is an equal number of boys and girls who do not take part in CCAs. If 378 pupils do not take part in CCAs, how many more pupils take part in CCAs than those who do not take part in CCAs?
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
There are some pupils in the zoo. 25 of them are girls, of whom 20% of them do not wear caps. 23 of the boys do not wear caps. What is the percentage of the pupils in the zoo who wear caps?
4 m
Level 3
There were 4 more girls than boys in the classroom. Excluding 2 boys, the number of boys was 56 of the number of girls. When another 4 girls joined, what fraction of the pupils were girls? Give the answer in its simplest form.
3 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 PSLE
At first, Leah had a total of 66 blue and purple balloons. 17 purple balloons burst. She then increased the number of blue balloons by 75%. After that, Leah had a total of 79 balloons. How many purple balloons did she have at first?
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
A box contained red, blue and purple markers. 25 of the markers were red and 29 of the remainder were blue markers. The rest were purple markers.
  1. Find the ratio of the number of purple markers to the number of red markers.
  2. There were 160 fewer blue markers than red markers. How many markers were there in the box?
4 m
Level 3
Three women, Mrs Zhang, Mrs Lin and Mrs Yap went on a shopping spree. 30% of Mrs Zhang's spending is equal to 15 of Mrs Lin's spending. Mrs Yap's spending is 40% more than Mrs Lin's. If Mrs Lin spends another $804, she will spend the same amount of money as Mrs Yap.
  1. Find the ratio of Mrs Zhang's spending to Mrs Lin's to Mrs Yap's.
  2. How much did Mrs Zhang spend?
4 m
Level 3
A crate contains some kiwis, apples and watermelons. 0.4 of the apples is equal to 80% of the kiwis. The number of watermelons is 12 of the total number of kiwis and apples. If there are 44 more watermelons than kiwis, how many fruits are there in the crate altogether?
4 m
Level 3
The total monthly incomes of 24 men is $51000. 58 of them earn the same monthly income each. Each of the remaining men earns 4 times as much monthly. Find the difference between the higher income and the lower income per month.
4 m