Level 3
The average points accumulated by 6 children is 91.5. They have all attained different points which are whole numbers. The lowest point is 70 while the highest point is 100.
Find the average points achieved by the 4 children whose marks lie between the highest and the lowest.
Find the smallest possible second lowest mark among these 6 children.
Find the largest possible second lowest mark among these 6 children.
Level 3
A book shop sold 110 of the books in the morning. 15 of the remaining books are sold in the afternoon. The shop owner brought in another 172 books and there were 4 more books than there was at first. How many books were there in the shop at first?
Level 3
Fred saved $85 per month for a motorcycle. At the end of 6 months, he found that the amount of savings he had was only 34 the price of the
motorcycle.
How much was the motorcycle?
How much more must Fred save in order to buy the motorcycle?
Level 3
A survey was conducted with some pupils. 29 of them chose basketball as their favourite sport. 35 of the remaining pupils chose badminton. 12 of those left chose swimming and the last 56 chose gymnastic. How many more pupils chose badminton than basketball?
Level 3
Kylie had some shortbreads. She sold 34 of the shortbreads. She ate 13 of the remainder and an additional 4 more. She had 44 shortbreads left in the end. How many shortbreads did Kylie have at first?
Level 3
Reggie had some money. He spent 14 of his money and an additional $33 on books. He spent 56 of the remainder and an additional $11 on food. He had $14 left. How much money did he have at first?
Level 3
Penelope spent 18 of her money and an additional $21 on a sweater. She spent $9 less than 38 of the remainder on a shirt. She then spent $1 less than 12 of what was left on 4 pairs of jeans. She had $23 left in the end. How much did she spend altogether?
Level 3
Hannah bought 2014 m of cloth. She used 34 m to make a cushion cover. She used 13 of the remaining cloth to make curtains. How much more cloth did she use to make the curtains than the cushion cover?
Level 3
Kimberly bought 16 15 m of cloth. She used 25 m to make a cushion cover. She used 12 of the remaining cloth to make curtains. How much more cloth did she use to make the curtains than the cushion cover?
Level 3
Mr Tan wants to put all 27 boys and 72 girls into groups for an activity. There are more girls than boys in each group. Each group must have the same number of boys. Each group must also have the same number of girls.
What is the greatest number of groups Mr Tan can form with these conditions?
