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?

Level 3
There are 390 children in a tuckshop. ²₇ of the boys and ²₃ of the girls wear spectacles, there are 258 children in the tuckshop who do not wear spectacles. How many girls wear spectacles?

Level 3
If Joey and Vic work together on a project, they will complete it in 4 days. If Vic were to work with Richard on the same project, they will take a day longer. If Richard and Teddy work together, they will take 100% more time than Joey and Vic. If Joey and Teddy were to work together, how many more days will they take to complete the project compared to Vic and Richard working together?

Level 3
The ratio of Yvette's money to Linda's money was 1 : 3. After Yvette spent thrice as much as Linda, Yvette and Linda had $6 and $42 left respectively. Find the amount of money each of the girls have at first.

1. Yvette
2. Linda

Level 3
Jeremy has a crate containing some red and green grapes. If he adds in 10 bunches of red grapes, 0.6 of the bunches of grapes in the carton will be green grapes. If he adds in 30 bunches of green grapes, ³₄ of the bunches of grapes in the carton will be green grapes. How many bunches of grapes are there in crate?

Level 3
Hazel, Olivia and Diana had a total of 767 marbles. The ratio of Olivia's marbles to Diana's marbles was at first 4 : 7. After Hazel and Olivia each gave half of their marbles away, the 3 children had 527 marbles left. How many marbles did Hazel and Diana have at first?

Level 3
In a factory, Machine A was turned on first and it produced 313 wontons. Then Machine A and Machine B were turned on at the same time to continue production. For every 4 wontons Machine A produced, Machine B produced 6 wontons. Machine B produced 45 less than ¹₂ of the total number of wontons produced. How many wontons were produced altogether?

Level 3
The average number of playing cards Brendon and Ricky had was 450. The average number of playing cards Brendon and Jonas had was 240. If the ratio of Ricky's playing cards to Jonas's playing cards was 5 : 2, find the number of playing cards Brendon had.

Level 3
Oscar Mobile Company has a few mobile phone service plans. Plan A offers 270 SMS and 90 minutes of talk time for $25.20. Plan B offers 370 SMS and 190 minutes of talk time for $35.20. Oscar Mobile Company is also going to launch Plan C which offers 170 SMS and 260 minutes of talk time. How much should Oscar Mobile Company charge for Plan C if the cost per SMS and the cost per minute of talk time do not vary across the three plans?

Level 3
A carton packed with 1 packet of rice weighs 5.62 kg. The same carton when packed with 4 such packets of rice weighs 21.43 kg.

1. Find the mass of 1 packet of rice in kg.
2. Find the mass of the empty carton in kg.