Level 3
The figure, not drawn to scale, is made up of an isosceles triangle and a rhombus. ∠c = ∠b, ∠a is twice ∠d, ∠b is twice ∠e and ∠c is less than ∠e by 51°.
  1. Find ∠c.
  2. Find the difference between ∠a and ∠c.
4 m
Level 3 PSLE
May had some books. She donated 38 of the books and gave away another 30 books. She had 47 of the books left and she packed them into 25 boxes. Some boxes contained 10 books while the rest contained 15 books.
  1. How many books were packed into the 20 boxes?
  2. How many boxes contained 18 books?
4 m
Level 3
In the figure, not drawn to scale, O is the centre of the circle. Given that the ratio of ∠OBC : ∠AOC is 3 : 11. Find ∠AOB.
4 m
Level 3
10 days ago, Ruth had a total of 250 green and violet stickers. 40% of her stickers were violet stickers. Today, her father gave her some more stickers. As a result, her green stickers increased by 30%. Now, 50% of her stickers are violet stickers. How many violet stickers did her father give her?
5 m
Level 3
Roshel had some peaches and oranges in 2 baskets. In Basket A, the number of peaches to the number of oranges was in the ratio of 5 : 9. In Basket B, there were thrice as many peaches as oranges. After Roshel transferred 13 of the oranges from Basket A to Basket B, the number of fruits left in Basket A was 187 and the ratio of the number of peaches to the number of oranges in Basket B became 7 : 8. How many fruits were in Basket B in the end?
5 m