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
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
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
Triangle ABC and Triangle DBC share the same base BC. The height of Triangle ABC is 4 times the height of Triangle DBC. Given that DE is 4 cm and BC is 13 cm, Find the area of the shaded part.
4 m