Level 3
Jane and Tina had $652. Tina had $76 more than Jane. Jane spent 2 times as much as Tina and was left with 23 as much as Tina. How much did Jane spend?
Level 3
Cathy and Queenie have some money. If Cathy spends $7, she will have 45 as much money as Queenie. If Queenie spends $3, Cathy will have 56 as much money as Queenie. How much money does Cathy have?
Level 3
At the bird park were some adults. 12 of the number of tourists was equal to 2 times the number of locals. When another 19 tourists entered and 51 tourists left, the ratio of the number of tourists to the number of locals become 7 : 2. Find the number of tourists at the bird park at first.
Level 3
Mr Yap bought some pizzas for a group of pupils. There is an equal number of girls and boys. The girls received 5 times as many pizzas as the boys. Each boy ate 13
of a pizza and the boys finished all the pizzas given to them. Each girl ate 16 of a pizza and the girls had 18 12
pizzas left. How many pizzas did Mr Yap buy?
Level 3
At a conference made up of speakers and participants, there were 10% more men than women. The ratio of the male speakers to female speakers was 8 : 5. There was an equal number of male and female participants.
Find the ratio of male speakers to male participants at the conference at first.
Halfway, 89 male participants left the conference and another 73 female participants joined the conference. In the end, there were 34 as many male participants as female participants remaining behind. How many speakers were there at the conference?
Level 3
Mrs Lee gave Wendy and Yvonne some money each on Saturday. On Sunday, Wendy gave 15 of the amount she had to Yvonne. On Monday, Yvonne gave 14 of the amount she had to Wendy. In the end, Wendy had $65 and Yvonne had $147. How much did Yvonne had more than Wendy at first?
The figure shows a rectangular field EFGH. Mike walked from E to F to G to H and he covered a distance of 57m. Sandy walked from F to G to H to E and she covered a distance of 48m. What is the perimeter of the field?
Some construction work was undertaken to the same field and a semi-circular part was removed from it. What is the perimeter of the field after the construction? (Take π = 227)
Level 3
The figure shows a rectangular field EFGH. Mike walked from E to F to G to H and he covered a distance of 57m. Sandy walked from F to G to H to E and she covered a distance of 48m. What is the perimeter of the field?
Some construction work was undertaken to the same field and a semi-circular part was removed from it. What is the perimeter of the field after the construction? (Take π = 227)
Level 3
Tom and Jerry had $160 altogether. Jerry gave 47 of his money to Tom. After that, Tom gave 35 of his money to Jerry.
In the end, Tom had 14 of the total sum of money. How much did Tom have at first?
Level 3
Eva, Sarah and Penny had 1188 marbles. Sarah won some of the marbles from Eva and as a result, Sarah's marbles increased by 20%. Penny then won some marbles from Sarah and Penny's marbles increased by 40%. Finally, Penny lost some of her marbles to Eva and Eva's marbles increased by 20%. In the end, they realised that they each had an equal number of marbles. How many percent less did Eva have in the end than what she had at first? Correct your answer to 1 decimal place.
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?
