Level 3
A coin bank contains some twenty-cent and fifty-cent coins in the ratio of 4 : 5. When 16 fifty-cent coins were taken out and replaced by some twenty-cent coins, the ratio became 8 : 7. The total value of the twenty-cent coins added was the same as the total value of the fifty-cent coins taken out. Find the sum of money in the coin box.
Level 3 PSLE
Nick had doughnuts and Ethan had scones. Both gave half of what they had to each other. Nick sold 8 doughnuts and Ethan sold 42 scones. In the end, the ratios of doughnuts to scones for Nick and Ethan were 1 : 5 and 1 : 3 respectively. How many doughnuts did Nick have at first?
Level 3
Oscar bought some mangosteens and coconuts in the ratio of 2 : 5 respectively. The cost of a mangosteen was $1.50 more than the cost of a coconut. He spent a total of $81 buying the mangosteens and coconuts. The total cost of the coconuts was $9 more than the total cost of the mangosteens. How much did 1 mangosteen cost?
Level 3
The figure is not drawn to scale. ABCD is a rectangle. Triangles AOD and BOC are identical. The area of Triangle COD is 63.14 cm2. The ratio of the area of Triangle AOB to The area of Triangle COD is 3 : 7. Find the area of Triangle AOD.
Level 3
The figure is not drawn to scale. ABCD is a rectangle. Triangles AOD and BOC are identical. The area of Triangle COD is 63.14 cm2. The ratio of the area of Triangle AOB to The area of Triangle COD is 3 : 7. Find the area of Triangle AOD.
Level 3
A convenience store sold crabstick, salmon and egg mayo sandwiches. The ratio of the number of crabstick sandwiches made to the total number of sandwiches made was 3 : 7. The ratio of the number of salmon sandwiches made to the total number of sandwiches made was 1 : 5. After the store sold some crabstick sandwiches and made another 42 salmon sandwiches, there was an equal number of crabstick, salmon and egg mayo sandwiches left. Find the number of crabstick sandwiches sold.
Level 3
Madam Naz made pies for sale. 45% of the pies were chicken pies and the rest were potato and sardine pies in the ratio 3 : 1. If a customer bought 75% of the chicken pies and all of the sardine pies, what percentage of the potato pies must Madam Naz sell for her to maintain the original percentage of chicken pies at first? Leave your answer in mixed numbers.
Level 3
Lisa had four baskets, C, D, E and F which contain a total of 351 kiwis. She transferred 7 kiwis from basket C to basket D, 24 kiwis from basket D to basket E and 38 kiwis from basket E to basket F. The ratio of the number of kiwis in basket C to basket D to basket E changed from 4 : 8 : 11 to 1 : 3 : 9. How many kiwis were in basket F at first?
Level 3
Daniel saved some 50-cent coins and $1 notes in his coin box. The total value of the 50-cent coins to the total value of the $1 notes he had was in the ratio 2 : 5. After $14 worth of 50-cent coins and an equal value of $1 notes were added to the coin box, the ratio of the total value of 50-cent coins to the total value of $1 notes became 5 : 9. How many of each type did Daniel have in the end?
Level 3
At the beginning of the year, the number of members in Club A and Club B were in the ratio 5 : 7. At the end of Term One, some members left Club A to join Club B. The ratio of the number of members in Club A and Club B became 1 : 3. At the middle of Term Two, each club received 54 new members. The ratio of the number of members in Club A and Club B became 2: 3. How many members left Club A to join Club B at the end of Term One?
Level 3
A shop owner had three boxes, containing a total of 1500 plastic cups. The number of plastic cups in Box A to the total number of plastic cups was 3 : 10. He sold 330 plastic cups from Box B and sold 13 of the plastic cups in Box C. The number of plastic cups left in Box B to the number of plastic cups left in Box C was 3 : 1. How many plastic cups were there in Box B at first?
