Level 3
Sean drank 35 of the water in his water bottle. He accidentally spilled 14 of the remaining water. As a result, he had 90 millilitres of water left in his water bottle. How much water did Sean have at first? Give your answer in millilitres.
4 m
Level 3
A fruit-seller sold 23 of his fruits in the morning and 56 of his remaining fruits in the afternoon. If he had 30 fruits at the end of the day, find the total number of fruits he had at first.
4 m
Level 3
Fiona made some croissants. She sold 45 of them in the afternoon and 47 of the remainder in the evening. If she sold 144 more croissants in the afternoon than in the evening, how many croissants did she make altogether?
4 m
Level 3
Emily baked some shortbreads. She sold 35 of them in the morning and 14 of the remainder in the evening. If she had 24 shortbreads left, how many shortbreads did she bake?
4 m
Level 3
Jane painted a grey square on rectangle ABCD as shown. The length of BC is twice of EC. The length of AD is 12 of AB. Find the area of the unpainted part of the rectangle ABCD.
4 m
Level 3
There were some guavas at a fruit stall. In the morning, 16 of the guavas were sold. In the afternoon, another 30 guavas were sold. The total number of guavas sold was 5 less than 712 of the number of guavas the fruit stall had at first.
  1. How many guavas were there at first?
  2. What fraction of the guavas in the stall remained unsold in the afternoon?
5 m
Level 3
The figure, not drawn to scale, is made up of Rectangle A and Rectangle B overlapping each other. The area of Rectangle A is 34 the area of Rectangle B. Given that 14 of Rectangle A is shaded. What fraction of the total area of the figure is unshaded?
5 m
Level 3
Contestants in a quiz were awarded certificates based on their scores. A total of 312 points were awarded. 18 of the contestants received the Certificate of Distinction. 45 of the remaining contestants received the Merit Certificate and the rest received the Participation Certificate. How many contestants received the Certificate of Distinction?
5 m
Level 3
Rachel had 60 balloons. 15
of the balloons burst and she gave away 78
of the good balloons. How many balloons did she have left?
4 m
Level 3
Jaslyn had 54 more stamps than Joelle. After Joelle gave away 16 of her stamps, Jaslyn had thrice as many stamps as Joelle. How many stamps did Joelle have at first?
4 m
Level 3
The rectangle is divided into four parts A, B, C and D. The ratio of Part A to Part B is 5 : 3 and the ratio of Part B to Part C is 2 : 1.
  1. Find the ratio of Part A to Part B to Part C.
  2. Given that Part D is 26 cm2 , find the area of the rectangle.
5 m
Level 3
Henry, Rael and Anna share a sum of money. Henry's share is half of what Rael and Anna receive. Rael's share is 39 of the sum of money. Anna receives $20 less than Henry.
  1. What fraction of the sum of money is Henry's share?
  2. How much is the sum of money?
4 m
Level 3
Sabrina and Pamela had a total of $220 at first. After Sabrina spent 35 of her money and Pamela spent 23 of her money, they had the same amount of money left.
  1. How much money did Sabrina have at first?
  2. Pamela has the same number of $2-notes and $10-notes at first. How many $10-notes did she have at first?
4 m
Level 2
The total age of Ron, Wilfred and Bob is 99 years. Ron is 4 times as old as Wilfred. Bob is 6 times as old as Wilfred. How old is Ron?
4 m
Level 2
Xavier, Kevin and John had a total of 126 stamps. Xavier had twice as many stamps as Kevin and John had twice as many stamps as Xavier. How many stamps did Kevin have?
4 m
Level 2
Alan and Bernard saved $75 altogether. Alan and Clara saved $145 altogether. If Clara saved thrice as much as Bernard, how much did Alan save?
4 m
Level 2
Michelle, Rebecca and Chris collected some dolls. Michelle had four times as many dolls as Chris, and Rebecca had twice as many dolls as Chris. If Michelle had 8 more dolls than Rebecca, how many dolls did the 3 girls collect in total?
4 m
Level 2
Alicia, Betty and Clara collected some buttons. Alicia had thrice as many buttons as Betty, and Betty had 8 more buttons than Clara. If they had a total of 102 buttons, how many buttons did less buttons did Betty have than Alicia?
4 m
Level 2
Judy has $4 more than Lily. Karen has twice the total amount of money Judy and Lily have. The 3 girls have $66 altogether. How much more money than Lily does Karen have?
4 m
Level 2
Faizal has $36. Sarina has thrice as much money as Faizal. Dinesh has twice as much money as Sarina. How much money do they have altogether?
4 m