Level 3
Fred, Vaidev, Ryan and George went shopping with a total of $618. After shopping, they had a total of $88 left. Vaidev spent $100. The amount Ryan spent was 23 the amount spent by Fred. The total amount spent by Fred and Vaidev was $204 less than the total amount spent by Ryan and George. How much did Fred and George spend altogether?
4 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
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
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
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
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
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
ABFG is a square. The length of CD is 35 of BF and the area of BCDE is 864 cm2. Given BC = EF, Find the area of the shaded parts.
4 m
Level 3
The diagram shows a park which comprises the picnic area and the fountain area. The cost of building the picnic area covering the whole area of Square ABCD is $20 per square metre and the cost of fencing the fountain area is $12 per metre. Given that FH is 250 m, AB is 38 of GK and FE is 150 m, find
  1. the cost of building the picnic area.
  2. the cost of fencing the fountain.
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
Linda sold $1078 worth of dresses and jumpsuits. She earned $110 less on the jumpsuits than the dresses. Each jumpsuit is sold for $4 more than each dress. The number of jumpsuits sold was 23 of the number of dresses sold.
  1. How much did Linda earn from the sales of the dresses?
  2. How many dresses were sold?
4 m
Level 3
The figure consists of two overlapping squares ABCD and DEFG. H is the 15 mark of the sides, AB and FG. Express the shaded area as a fraction of the total unshaded area. (Give your answer in the simplest form.)
4 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
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