Level 3
During Christmas, Vincent's candle and Ethan's candle were placed on an altar. Vincent's candle was 3 cm longer than Ethan's candle. Vincent's candle and Ethan's candle were lit at 5:30 p.m. and 9:00 p.m. respectively. They burnt down to the same height at 10:30pm. At 1:30 a.m., Ethan's candle was burnt out while Vincent's candle was burnt out at 3:30 a.m. Find the original heights of Vincent's candle and Ethan's candle.
Level 3 25 of the crayons in a bag were red and the rest were blue and yellow. 20% of the blue crayons and 12% of the yellow crayons were thrown away. There was an equal number of blue and yellow crayons left. If there were 352 blue and yellow crayons left,
what was the number of red crayons?
what was the total number of crayons in the bag at first?
Level 3 12 of the pupils in a school were girls and the rest were boys. 25 of the girls and 23 of the boys took part in a school event. 364 pupils did not take part. How many more girls were needed to take part in the school event so that it would be equal to the same number of boys who took part in the event?
Level 3
The prices of two fruits sold at a supermarket is shown.
Grapes: 2 kg for $12
Bananas: 3 kg for $10
Mr Lin bought an equal mass of grapes and bananas and spent $64 more on grapes than on bananas. What was the total mass of fruits that Mr Lin bought?
Mrs Shay spent an equal amount of money on grapes and bananas. In terms of their masses, what was the ratio of grapes to the ratio of bananas Mrs Shay bought?
Level 3 PSLE
Three boys, Az, Ben and Ix had the same number of notes. Az and Ben each had of mix of $10-notes and $2-notes. Az had 7 $2-notes while Ben had 13 $2-notes. Ix had only $10-notes.
Of the three boys, who had the most money?
What was the difference in the total value of Az and Ben's notes?
Ben used all his $10-notes to buy a present. He then had $164 less in notes than Ix. How many $10-notes did Ix have?
Level 3
Figures A and B are each made up of 3 identical rectangles. Both figures have the same area of 384 cm2 each. What is the perimeter of Figure B?
Level 3
Figures A and B are each made up of 3 identical rectangles. Both figures have the same area of 384 cm2 each. What is the perimeter of Figure B?
Level 3
A confectionery sells chocolate chip cakes and blueberry cakes.
Raeann bought an equal number of chocolate chip cakes and blueberry cakes. She paid $80.80 more for the blueberry cakes and the chocolate chip cakes.
How many cakes did she buy?
How much did she spend altogether?
Level 3
A confectionery sells chocolate chip cakes and blueberry cakes.
Raeann bought an equal number of chocolate chip cakes and blueberry cakes. She paid $80.80 more for the blueberry cakes and the chocolate chip cakes.
Level 3
The ratio of the number of biscuits in Container H to the number of biscuits in Container J was 5 : 3. 20% of the biscuits in Container H and 0.6 of those in Container J were round. After transferring the biscuits between the 2 containers, the number of square biscuits in both containers are the same. Likewise, the number of round biscuits in both containers are the same. If a total of 162 of biscuits were moved, how many more biscuits were there in Container H than Container J at first?
Level 3
Justin and Wesley each had the same volume of water. The water was used to pour into identical bottles. Justin filled up 16 bottles and had 4.8 ℓ of water left. Wesley filled up 8 bottles and had 6.4 ℓ of water left.
What was the capacity of each bottle? Give your answer in millilitres.
What was the total volume of water Justin and Wesley had at first? Give your answer in litres.
Level 3
Ron and Shawn had 60 sweets each. Ron gave 20% of his sweets to Shawn. After receiving the sweets from Ron, Shawn gave 50% of his total sweets to Tammy. How many sweets had Shawn left?
