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
A fund-raising project lasted 2 weeks. In the first week, Team X raised 4 times as much money as Team Y. ln the second week, Team X raised another $240 while Team Y raised another $160. The total amount raised by Team X was thrice as much money as the total amount raised by Team Y. What was the total amount of money raised by the two teams?
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
Samantha had twice as many pens as notebooks at first. She removed 4 pens and 3 notebooks each time. In the end, there were 18 pens and 1 notebook left. How many pens and notebooks did Samantha have at first?
4 m
Level 3
Nora and Hazel used the same number of lychees to bake cakes. Nora used 25 of her lychees and Hazel used 35 of her lychees. They had a total of 125 lychees at first.
  1. How many lychees did each girl use?
  2. How many lychees did both girls have left altogether?
4 m
Level 3
Andy had 4 times as much money as Julian. After Andy spent $164 and Julian spent $38, Julian had thrice as much money as Andy. How much did Andy and Julian have altogether 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
Ivory had 4 times as many cards as erasers. After she used 105 cards and 7 erasers, there were twice as many erasers as cards.
  1. How many cards did Ivory have in the end?
  2. How many erasers did Ivory have at first?
4 m
Level 3
One eating house bought 168 kg of beef and mutton. 13 of the beef and 45 of the mutton were sold. The amount of mutton sold was 12 kg more than the amount of beef sold.
  1. How much mutton did the eating house buy?
  2. How much beef did the eating house buy?
4 m
Level 3
Eric had an equal number of cream scones, strawberry scones and vanilla scones. After he ate 28 cream scones, some strawberry scones and vanilla scones, there were 55 scones left. The number of strawberry scones he ate was thrice the number of vanilla scones he ate. The number of strawberry scones left was 22 more than the number of cream scones left. How many cream scones were there at first?
4 m
Level 3
Penelope was packing her spoons, plates and bowls to be moved to her new shop. She packed 65 more spoons than plates, and 22 more bowls than spoons. While moving 35 of her spoons and 110 of the plates were broken. The remaining 389 items were not broken. How many bowls did she have?
4 m
Level 3
Fanny and Gillian collected some stamps. If Fanny gave Gillian 52 stamps, both would have an equal number of stamps. If Gillian gave Fanny 40 stamps, Fanny would have 5 times as many stamps as Gillian. Find the number of stamps each of them had.
  1. Fanny?
  2. Gillian?
4 m
Level 3
There was an equal number of mangoes and pineapples. On Monday, some mangoes were added, such that the number of mangoes increased by 80%. On Tuesday, the number of mangoes further increased by 50% and the number of pineapples decreased by 20%. There were 38 more mangoes than pineapples in the end. How many mangoes and pineapples were there altogether at first?
5 m
Level 3
The ratio of the area of Rectangle A to that of Rectangle B to that of Rectangle C is 5 : 4 : 3. 310 of Rectangle A and 16 of Rectangle C are shaded. The shaded area is 36 cm2. Find the total unshaded area of the figure.
4 m
Level 3
Jake and Kenneth had the same number of sweets. Each of them packed his own sweets into packets. Jake packed 5 sweets in each packet and had 2 sweets left. Kenneth packed 8 sweets in each packet and was short of 4 sweets.
  1. How many sweets did each of them have if they have used the same number of packets?
  2. What was the smallest possible number of sweets each of them had if they used different number of packets?
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
The table shows the prices of tickets for a concert performance for an adult ticket and a child ticket. 14 of the tickets sold were for adults. The total amount of money collected from sale of the child tickets was $230 more than the total amount collected from the sale of adult tickets.
  1. How many child tickets were sold?
  2. How much money was collected from the sale of all the tickets?
5 m
Level 3
At a race, 37 of the number of boys is equal to 25 of the number of girls. The number of adults at the race is thrice the number of children. The number of coupons given to each adult, boy and girl at the race is 4, 3 and 2 respectively. The total number of coupons given at the race is 7980.
  1. What is the total number of coupons given to the adults?
  2. What is the number of girls at the race?
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