Level
At a concert, 14 of the tickets were sold at full price, 35 of the tickets sold at 40% discount, and the remaining 270 tickets were given away for free. Each ticket was sold at $90. What was the total amount collected from the sale of tickets?
Level 3
There were some packets and bottles. A packet weighed 3 kg and a bottle weighed 2 kg more. The total weight of the packets was 35 kg heavier than the total weight of the bottles. The number of packets and bottles were in the ratio 5 : 2. What was the total weight of the packets and the bottles?
Level 3
During one test, points were awarded for questions answered as shown.
The ratio of the questions correctly to questions answered wrongly to questions that were missed out was 8 : 4 : 2. If Tiffany was awarded 300 points, how many questions are there in all?
Level 3
During one test, points were awarded for questions answered as shown.
The ratio of the questions correctly to questions answered wrongly to questions that were missed out was 8 : 4 : 2. If Tiffany was awarded 300 points, how many questions are there in all?
Level 3
In a bakery, the prices of pastries are listed as follow:
The ratio of the number of scones sold to the number of puffs sold was 4 : 3. The ratio of the number of muffins sold to the number of puffs sold was 8 : 7. The bakery collected $80 more on the sales of muffins than the sales of scones.
How many scones were sold?
How much did the bakery collect from the sales of the pastries?
Level 3
In a bakery, the prices of pastries are listed as follow:
The ratio of the number of scones sold to the number of puffs sold was 4 : 3. The ratio of the number of muffins sold to the number of puffs sold was 8 : 7. The bakery collected $80 more on the sales of muffins than the sales of scones.
How many scones were sold?
How much did the bakery collect from the sales of the pastries?
Level 3
The average height of a group of 6 girls is 137 cm. When Kathy and Nicole joined the group, the average height increased by 4 cm. What is Kathy and Nicole's total height?
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 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
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?
