Level 3
Daniel had to solve some Science questions during a 3-week school holidays. At the end of the first week, the ratio of the number of questions solved to the number of questions unsolved was 3 : 7. At the end of the second week, Daniel solved another 36 questions and the number of unsolved questions became 14 of the total number of questions. How many questions did Daniel need to solve on the third week to complete his assignment?
Level 2
6 similar tables with a length of 50 cm each, are placed from one end to the other end of a corridor at an equal distance apart, as shown in the figure. The total length of the walkway is 900 cm. What is the spacing between each table?
Level 2
6 similar tables with a length of 50 cm each, are placed from one end to the other end of a corridor at an equal distance apart, as shown in the figure. The total length of the walkway is 900 cm. What is the spacing between each table?
Level 3
Janet wanted to finish reading a 231-page book by the end of the week. On Monday she read 37 of the book and by Friday the ratio of the number of pages read to the total number of pages was 9 : 11. Find the number of pages Janet would need to read during the weekend in order for her to complete the entire book.
Level 2
After using 17 of her sugar, Mrs Lim bought another 75 kg of sugar. As a result, Mrs Lim now has 97 as much sugar as what she had at first. How many kilograms of sugar did Mrs Lim have at first?
Level 3
Clifford had 80% fewer sweets than Ashwin. After Ashwin gave 210 sweets to Clifford, Clifford had 23 as many sweets as Ashwin. How many sweets did each of them have in the end?
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
Jeanne's school organized a trip to Japan. At first, the ratio of the number of boys to the number of girls who planned to participate in the trip was 7 : 5. On the day of registration, 52 girls decided to withdraw and 52 more boys decided to join in. In the end, the number of girls who participated became 20% of the total participants for the trip. How many more boys than girls would visit Japan in the end?
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
Benny and Nigel both received an allowance from their father. Benny initially received 30% of the money. He then gave Nigel $5, and was left with 13 as much money as Nigel. What was the total amount of money given to the two boys?
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
Alan, Benjamin and Charles shared a bag of toy blocks. Benjamin took 35 as many toy blocks as Charles. Alan took twice as many toy blocks as the total Benjamin and Charles took. After Alan had given 20 to Benjamin and 4 to Charles, Benjamin gave 5 to Charles. In the end, all three of them had the same number of toy blocks. Find the difference between the number of toy blocks that Alan and Benjamin had at first.
Level 3
Molly, Nellie and Olivia had a sum of money. The amount of money Molly had was 45 of the amount of money Nellie had. The ratio of the amount of money Nellie had to the total amount of money Olivia and Nellie had was 3: 8. After Olivia gave $15 to Nellie, she had as much money as Nellie. How much more money did Olivia have than Molly in the end?
Level 3
There were 182 red, blue and green marbles in a box. 26 green marbles were removed from the box and the ratio of the number of red marbles to the number of blue marbles to the number of green marbles became 4 : 3 : 5. Then some yellow marbles were added and the ratio of the number of green marbles to the number of yellow marbles was 13 : 9.
What was the ratio of the number of red marbles to the number of blue marbles to the number of green marbles at first?
Level
Fred had 12 as many erasers as Will. Will had 23 as many erasers as Rachel. After Fred and Rachel gave 12 erasers to Will, Will had four times as many erasers as Fred. Rachel then had the same number of erasers as Will.
What was the ratio of the number of erasers Fred had to the number of erasers Rachel had in the beginning? Answer in simplest form.
Level 3
Janet had some pencils, erasers and rulers. The ratio of the number of pencils to the number of erasers was 5 : 1. After giving away 16 erasers, the ratio of the number of rulers to the number of erasers was 4 : 1. Janet bought another 184 rulers. As a result, there were an equal number of pencils and rulers. How many erasers did she have at first?
