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
Every week, Mrs. Tan will collect 40% more vitamin pills than Mrs Nurul from the pharmacy. They each consumed 14 vitamins weekly and will leave the rest for their family members to consume the rest. After some time, both ladies consumed a total of 364 vitamin pills and Mrs. Tan's family members consumed 468 more vitamin pills than Mrs. Nurul's family.
  1. How many members are there in Mrs. Tan's family, if they each consume 14 pills weekly?
  2. How many vitamin pills does Mrs Nurul collect from the pharmacy each week?
5 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
In the figure, PQRS is a rectangle with a perimeter of 84 cm. PU, PR, TU and TR are straight lines. The length of PQ is twice the length of QR.
  1. What is the area of rectangle PQRS?
  2. Given that the area of triangle TRU is 91 cm2
    , find the area of triangle SPU.
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
In the figure, CEGH is a quadrilateral with an area of 110 cm2. The ratio of AH to HG to GF is 4 : 3 : 2. Given that the height of Triangle HOF is 20 cm, AF = 36 cm, and BH = 10 cm. Find the area of the figure.
4 m