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
The average mass of a group of girls was 37 kg. When Jamie, a girl, joined the group, the average mass of the group became 34 kg. If Jamie had a mass of 22 kg, how many girls were there in the group in the end?
Level 3
The ratio of the number of $2-notes to $10-notes in Dana's bag was 1 : 3. Dana exchanged 14 pieces of $10-notes for $2-notes. She then had an equal number of $2-notes and $10-notes. What was the total value of $2-notes and $10-notes in Dana's bag at first?
Level 3
The average height of some boys is 145 cm. When 3 girls, with a total height of 393 cm, are included, the average height if the children becomes 142 cm. How many children are there altogether?
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
Kylie bought some Geography books at $17 each. She also bought an equal number of History books at a different price. The average price of one Geography and one History book was $10. Kylie paid $70 more for the Geography books than the History books.
Level 3
Mrs Anis measured and recorded the mass of Amanda, Bee Ling, Charles and Dai Ling. The average mass of these 4 children was 49 kg. The next day, Mrs Anis realized that she had recorded Amanda's mass wrongly. Amanda's recorded mass was 8 kg more than her actual mass. What was the correct average mass of the 4 children?
Level 3
Jill spent 910 of her money on 20 muffins and 5 croissants. If each muffin costs twice as much as a croissant, how many croissants could Jill buy with the rest of her money?
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 auditorium had 1050 seats. There were 25% fewer $40-seats than $5-seats. 50% of the $5-seats and some $40-seats were sold. A total of $16180 was collected. How many seats were unsold?
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 Luis drew lines to form triangles and stars. He drew 7 more triangles and stars. The number of lines drawn for the triangles was the same as the number of lines drawn for the stars. What fraction of the shapes that Luis had drawn were stars?
Level 3 Luis drew lines to form triangles and stars. He drew 7 more triangles and stars. The number of lines drawn for the triangles was the same as the number of lines drawn for the stars. What fraction of the shapes that Luis had drawn were stars?
Level 3
Entrance tickets to the concert are $8 each for adults. The ticket for a child costs 25% less. Last Sunday, 10% of the tickets sold were for children and the total sales of the tickets was $3900. How many of the tickets sold were for adults?
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
At a theme park, each adult ticket cost $25
and each child ticket cost $12.
On Monday, the number of adult tickets sold was 120 less than the number of child tickets.
On Tuesday, the number of adult tickets sold decreased by 10% while
the number of child tickets sold increased by 30%.
If a total of 816 tickets were sold on Tuesday,
how much money was collected on Monday?
Level 3
During a telematch, each group of students was supposed to collect as many coloured candies as possible. Each colour represented a certain point as tabulated:
Yellow 3 points
Pink 6 points
Blue 7 points
In each container, the number of yellow candies was 20% more than the number of blue candies and 10% less than the number of pink candies. Given that the total possible points if the group managed to collect all the candies were 558 points, how many candies were not yellow in colour?
