Level 3
The number of lava cakes on display at a cafe was 34 of the number of cupcakes on display. After 20 lava cakes were bought and the staff added another 30 cupcakes, the number of cupcakes was twice the number of lava cakes. The last group of customers bought 5 cupcakes each, finishing all the cupcakes on display. How many customers were there in the last group?
Level 3
3 sisters, Tammy, Hazel and Yoko, paid a total of $168 for a gift. Tammy paid 14 of what the rest paid. Hazel paid 16 of what the rest paid. How much did Yoko pay?
Level 3
The perimeter of the figure formed by 3 squares, A, B and C, is 54 cm. The length of Square C is 12 the length of Square B. The length of Square A is twice the length of Square B. Find the area of Square A.
Level 3
The perimeter of the figure formed by 3 squares, A, B and C, is 54 cm. The length of Square C is 12 the length of Square B. The length of Square A is twice the length of Square B. Find the area of Square A.
Level 3
Xavier, Peter, Nick and Sean bought a projector for their aunt. Xavier paid 13 of what the rest paid. Peter paid 15 of what the rest paid. Nick paid
14
of what the rest paid. Sean paid $48 more than Xavier. How much did the projector cost?
Level 3
Justin had $59.10 less than Betty. He spent 57 of his money on a stapler which cost $10.50. Betty spent 29 of her money on a vest. How much had Betty left?
Level 3
Betty, Xuan and Ruth had a total of 1552 pens. Betty gave 13 of her pens away. Ruth gave away 5 times as many pens as Betty and Xuan gave away 267 pens. In the end, they had 523 pens left. How many pens did Xuan and Ruth have in total in the end?
Level 3
$258 is to be divided among a certain number of people. Half of the people received $3 each, 512 of the people received $4 each and the rest received $5 each. How many people are there altogether?
Level 3
Ryan owned two shops selling milk tea. Shop A earned 40% more money than Shop B on Monday. On Tuesday, Shop A lost $110 while Shop B earned another $150. In the end, Shop B contributed to 58 of the total earnings of the two shops over the two days operation. How much did Shop A earn over the two days?
Level 3
In a pouch of notes, the number of $2, $5 and $10 are in ratio of 5 : 4 : 6. 15 of the $2-notes and 15 $5-notes are taken out. The remaining notes are worth $541. Find the difference between the value of $10-notes and $2-notes in the end.
Level 3
Rael's age is
25 of his granduncle's. His granduncle will be 63 years old in 8 years' time. In how many years' time will Rael's age be 23 that of his granduncle's?
Level 3
A bus and a car started travelling from Town A to Town B at the same time. After 5 hours, the car reached Town B while the bus covered only 710 of the journey. The speed of the car was 21 km/h more than the speed of the bus. Find the speed of the bus.
Level 3
A fruit seller had apples and durians. The ratio of apples to durians was 5 : 3. After 34 of the apples and 38 durians were sold, there were 2 times as many apples as durians left. How many apples and durians were there at first?
Level 3
Jen and David started running together along a cross country track. When David completed the track in 40 minutes, Jen had run only 58 of the track. Jen’s average speed was 75 m/min slower than David’s.
Level 3
A roll of wire can be bent to form either a rectangle (Figure A) or a square (Figure B). The breadth of the rectangle is 35 as long as its length. Given that Figure A has an area of 375 cm2, find the perimeter of Figure B.
Level 3
A roll of wire can be bent to form either a rectangle (Figure A) or a square (Figure B). The breadth of the rectangle is 35 as long as its length. Given that Figure A has an area of 375 cm2, find the perimeter of Figure B.
Level 3
At a fruit stall, 280 mangoes were sold in the morning and 35 of the remaining mangoes were sold in the afternoon. As a result, the number of mangoes left became 16 of the total number of mangoes at first. Given that the mangoes were sold at $2.50 in packs of six mangoes, how much did the fruit stall receive from the sale of the mangoes in the afternoon?
Level 3
Adam has stickers in 4 colours. 57 of the stickers are blue.
The rest of the stickers are red, yellow and green in the ratio of 1 : 5 : 3.
If there are 40 more yellow stickers than green stickers,
how many blue stickers are there?
Level 3
Mark had some pastries. 47 of them were shortbreads. The rest were scones. He sold 45 of the shortbreads and 11 scones. In the end, he had 198 pastries left. How many pastries did he sell?
