Level 3
Luis, Sam and Andy went shopping. Luis and Sam spent a total of $341. Luis and Andy spent a total of $483. Andy spent 3 times as much money as Sam. How much money did Luis spend?
4 m
Level 3
Brandon bought 54 more erasers than Liam and Liam bought 15 erasers more than Raeann. The total number of erasers Brandon and Liam bought was 4 times the number of erasers Raeann bought.
  1. How many erasers does Brandon need to give Liam so that they have the same number of erasers?
  2. How many erasers did all three of them have altogether?
4 m
Level 3
Yesterday, Ivan had 56 more marbles than Daniel. Today, Ivan gave Daniel 58 of his marbles. As a result, he has half as many marbles as Daniel now. How many marbles did Ivan have yesterday?
4 m
Level 3
Mr Poh is 30 years older than his son. 5 years from now, his son will be 13 of his age while his daughter will be 35 of his son's age. Express his daughter's present age as a fraction of Mr Poh's present age. Leave your answer in its simplest form.
4 m
Level 3
The average weekly number of soft toys produced by Factory X and Y is 3486. The average weekly number of soft toys produced by Factory X and Z is 6586. If Factory Y produced 27 as many soft toys as Factory Z each week, how many soft toys does Factory X produce weekly?
5 m
Level 3
Asher and Pierre had 62 tarts altogether. After Asher ate 16 of his tarts and Pierre ate 10 tarts, the number of tarts Pierre had left was four times the number of tarts Asher had left. How many more tarts did Pierre have than Asher at first?
4 m
Level 3
A philanthropist bought a total of $19380 worth of toys, textbooks and clothes to donate to the needy children. The number of clothes bought was 20% more than the number of toys bought but 20% fewer than the number of textbooks bought. The toy cost $12 each and was $2 more expensive than each textbook but 40% cheaper than each piece of clothes. How many toys and textbooks did the philanthropist donate to the needy children?
5 m
Level 3
Xavier and Mark received a total of $468. After Xavier spent 56 of his money and Mark spent 34 of his money, Mark had 3 times as much money as Xavier. How much money did Mark have at first?
4 m
Level 3
Ethan and Tom had $1672 altogether. After Ethan spent 16 of his money and Tom spent 34 of his money, Ethan was left with four times as much money as Tom. How much money did Tom have at first?
4 m
Level 3
Ivory had some mangosteen and apple face masks. 13 of them were mangosteen. She gave away 12 of the mangosteen face masks and 14 of the apple face masks. In the end, she had 16 mangosteen and apple face masks altogether. How many apple face masks did Ivory have at first?
4 m
Level 3
In a kiosk, some toy planes and water guns were on sale. 15 of the items were toy planes. 13 of the toy planes and 92 water guns were sold. There were 16 of the items left in the kiosk. How many toy planes and water guns were there in the kiosk at first?
4 m
Level 3
Cole, Oliver and Simon had 270 buttons. After Cole used 8 buttons and Oliver used 37 of her buttons, Cole had four times as many buttons left as Oliver. Simon bought another 17 buttons, he had twice the number of buttons Oliver had left. How many buttons did Simon have at first?
4 m
Level 3
Gwen had some Chinese and English novels. She sold 13 of her Chinese novels and 14 of her English novels. 78 of the books sold were Chinese books. What fraction of the novels did Gwen sell?
4 m
Level 3
There were some pears, guavas and mangoes. The number of pears was three times the number of guavas. The total number of pears and guavas was half of the number of mangoes. There were 180 fruits altogether. All the mangoes were sold at 6 for $20. How much money was collected from the sale of the mangoes?
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