Level 3
Kim, John and Zane started walking at the same time from the same starting point round a circular track. Zane walked in the clockwise direction. Kim and John walked in an anti-clockwise direction. Zane took 6 min to complete each round. He met Kim after every 2 minutes. He met John after every 5 minutes. The three friends keep to their respective speeds throughout their walk.
How many rounds did Zane complete in 1 h?
When Zane and Kim met again at the starting point after 1 h, John had completed 1.6 km. Find the circumference of the circular track in metres.
Level 3
There were 1870 books in a book shop. There were 6 times as many storybooks as assessment books. There were an equal number of assessment books and manuals. There were half as many non-fiction books as storybooks.
Level 3
When 34 of a bottle is filled with milk, it weighs 890 g. When the bottle is half-filled with milk, it weighs 745 g. Find the mass of the empty bottle.
Level 3
At a funfair, there were 13 as many boys as girls and 25 as many adults as children. If there were 24 more adults than boys at the funfair, find the total number of people at the funfair.
Level 3
There were some adults and children at a party. 38 of the people were adults. 34 of the children were boys and the rest were girls. There were 20 girls.
How many children were there?
How many more children than adults were at the party?
Level 3
Xavier gave 112 of his stamps to Joe, 311 of his remaining stamps to Jason and 58 of the rest of his stamps to Kim. He then had 15 stamps left. How many stamps had he at first?
Level 3 27 of a bag of balls were green in colour. 25 of the remaining balls were blue in colour and the rest were red in colour. If there were 12 more red balls than green balls, how many balls were there in the bag altogether?
Level 3 37 of the people at a gathering are men. 34 of the remainder are women and the rest are children. There are 600 more women than children. How many people are there at the gathering altogether?
Level 3 112 of the people in a theme park are boys. 111 of the remainder are girls and the rest are adults. There are 990 more adults than girls. How many people are there in the theme park altogether?
Level 3
A fruit-seller started the day with 360 oranges. He sold 49 of the oranges and gave 25 of the remainder away. He placed the rest into boxes of 30. How many boxes would he need?
Level 3 712 of the pupils in a school go to school by bus. 25 of the remaining pupils go to school by car and 13 of the rest cycle to school. The remaining pupils walk to school. The number of pupils who walk to school is 250 fewer than those who go to school by bus. What is the enrolment of the school?
Level 3 29 of the people in a concert hall are boys. 37 of the remaining people are girls. There are 72 women and 288 men. What fraction of the people at the concert hall are women?
Level 3 310 of the runners in a marathon are Chinese. 37 of the remaining runners are Indians, 14 of the rest of the runners are Malays, 30 are Eurasians and 21 are Japanese. How many more Chinese than Japanese runners are there?
Level 2
Abigail has twice the number of hair clips as Betty. Clare has thrice the number of hair clips as Abigail. If Clare has 504 hair clips, how many hair clips do the three girls have altogether?
Level 3
At a party, 47 of the people who attended were adults. 56 of the remainder were boys and the rest were girls. If there were 140 more adults than girls, how many people attended the party?
Level 3
Rachel read 15 of a storybook on the first day, 38 of the remaining pages on the second day and the rest on the third day. If she read 48 more pages on the third day than on the first day, what is the total number of pages of the storybook altogether?
Level 3
Mrs Chan baked some cookies. She gave 35 of the cookies to her friend and 34 of the remainder to her brother. Given that she gave 15 less cookies to her brother than her friend. How many cookies did she bake at first?
