Level 3
Kate had $280 more than Natalie. Kate gave ³₅ of her money to Natalie. Natalie then gave 25% of her money to Kate. In the end, Kate had $146 less than Natalie. How much did Kate have at first?

Level 3
A burger cost three times as much as a sandwich at a cafe. Mr Lim spent ¹₄ of his money on some sandwiches and half of the remaining sum on 2 burgers. He had $30 left.

1. What was the cost of 1 sandwich?
2. Mr Lim bought 5 burgers and 6 sandwiches. How much did he spend altogether?

Level 3
Minzy bought some pouches and bags for her friends. The price of each pouch was $2.40 while the price of each bag was $10.80. For every 4 bags bought, she was given one such pouch for free. After receiving the free pouches, the number of pouches was ¹₃ of the number of bags bought. If Minzy paid a total of $1584, how much more did she pay for the bags than the pouches?

Level 3
A square base tank has a volume of 2880 cm³. If the edge of the base is ³₅ that of its height, find the area of its base.

Level 3
Three cartons, W, X and Y contained a certain number of pens. Carton Y contained ²₇ as many pens as W and X combined. There were 98 more pens in Carton W than in Carton Y. Carton X contained 127 more pens than Carton Y. How many pens were in Carton X?

Level 3
Three cartons, A, B and C, contained 382 marbles. Hazel added some marbles into Carton A and the number of marbles in Carton A tripled. He took out half of the number of marbles from Carton B and added another 98 marbles into Carton C. As a result, the ratio of the number of marbles in Carton A, Carton B and Carton C became 6 : 2 : 9. What was the ratio of the number of marbles in Carton B to the total number of marbles in Carton A and Carton C at first? Give the answer in its lowest term.

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
Andy, Benjamin and Caleb had a total of 698 cards at first. After a week, the number of Andy's cards became 3 times the number of cards he had at first. The number of Benjamin's cards decreased by 138. Caleb had half as many cards as he had at first. In the end, the three boys had the same number of cards.

1. How many cards did Caleb have at first?
2. What was the total number of cards that the three boys had in the end?

Level 3
Rachel had 3 times as much money as Paul. After Rachel spent ¹₂ of her money and Paul spent ³₅ of his money, they had a total of $1615 left.

1. How much money did Rachel and Paul have altogether at first?
2. Paul spent ³₅ of his remaining money on a pair of headphones. What fraction of his original amount of money did he spend on the pair of headphones?