Level 3
Simon has some black and red balls. The total mass of all his balls is 242 g. He has 5 more red balls than black balls. The average mass of the black balls is 6 g. The average mass of the red balls is 10 g. How many balls does Simon have altogether?
Level 3
Last Saturday, Jack withdrew an equal number of $10-notes and $50-notes from the bank. After spending 58 pieces of $10-notes and 10 pieces of $50-notes, the ratio of the remaining $10-notes to $50-notes became 2 : 5.
How many $10-notes had he left?
What was the total value of the notes which Jack withdrew from the bank?
Level 3 PSLE
Six identical rectangular boxes can be stacked into a cupboard 0.9 m wide. Two arrangements are shown. The first arrangement in Figure A leaves a 42 cm gap at the top. The second one in Figure B leaves a 10 cm gap at the top and another gap at the side.
In the arrangement shown in Figure B, what is the width of the gap at the side in m?
What is the height of the cupboard in metres?
Level 3 PSLE
Six identical rectangular boxes can be stacked into a cupboard 0.9 m wide. Two arrangements are shown. The first arrangement in Figure A leaves a 42 cm gap at the top. The second one in Figure B leaves a 10 cm gap at the top and another gap at the side.
In the arrangement shown in Figure B, what is the width of the gap at the side in m?
Level 3
A bag had some violet erasers and yellow erasers in the ratio of 3 : 1. Queenie removed 35 violet erasers and put another 15 yellow erasers into the bag. There is now 50% as many violet erasers as yellow erasers in the bag. How many violet erasers were in the bag at first?
Level 3
The average mass of a group of girls is 45 kg. If one more girl who weighs 75 kg joins the group, the new average mass of the group will become 48 kg. Find the total number of girls in the group.
Level 3
The average number of pages Joan read in a certain number of days was 15. In the next four days, Joan read another 88 pages. As a result, the average number of pages she read increased to 17. How many days did Joan read in total?
Level 3
The average test score of a class was 60 marks. After two students who scored an average marks of 96 marks transferred out of the class, the average score of the remaining students became 58 marks. How many students were there in the class at first?
Level 3
The average amount of money collected by a group of students at a flag day event was $125. When another 15 students turned up to help, the total amount donated increased by $1275 and the average amount of money collected became $113. How many students were there in the group at first?
Level 3 Charlie bought 54 more stickers than John and John bought 17 stickers more than Ann. The total number of stickers Charlie and John bought was 6 times the number of stickers Ann bought.
How many stickers does Charlie need to give John so that they have the same number of stickers?
How many stickers did all three of them have altogether?
Level 3
The average test score of a group of pupils was 57 marks. After 4 pupils who scored an average of 69 marks joined the group, the average score of all the pupils became 61 marks. How many pupils were there in the group at first?
