Level 3
Roshel had some peaches and oranges in 2 baskets.
In Basket A, the number of peaches to the number of oranges was in the ratio of 5 : 9.
In Basket B, there were thrice as many peaches as oranges.
After Roshel transferred 13 of the oranges from Basket A to Basket B,
the number of fruits left in Basket A was 187
and the ratio of the number of peaches to the number of oranges in Basket B became 7 : 8.
How many fruits were in Basket B in the end?
Level 3
The figure is not drawn to scale. Two balls, X and Y, turn and move along the line AB in opposite directions. The radius of X is 10 cm. The ratio of the diameter of Ball X to that of Ball Y is 5 : 2. If Ball X turns 10 rounds and Ball Y turns 2 rounds, how far apart are the centres of the balls?
(Take π = 3.14)
Level 3
The figure is not drawn to scale. Two balls, X and Y, turn and move along the line AB in opposite directions. The radius of X is 10 cm. The ratio of the diameter of Ball X to that of Ball Y is 5 : 2. If Ball X turns 10 rounds and Ball Y turns 2 rounds, how far apart are the centres of the balls?
(Take π = 3.14)
Level 3
In the figure. WXYZ is a rectangle. The ratio of the length of PX to the length of WX is 2 : 3. Q is the mid-point of XZ. The area of rectangle WXYZ is 192 cm2. What is the area of the shaded part?
Level 3
In the figure. WXYZ is a rectangle. The ratio of the length of PX to the length of WX is 2 : 3. Q is the mid-point of XZ. The area of rectangle WXYZ is 192 cm2. What is the area of the shaded part?
Level 3
In the figure, CEGH is a quadrilateral with an area of 110 cm2. The ratio of AH to HG to GF is 4 : 3 : 2. Given that the height of Triangle HOF is 20 cm, AF = 36 cm, and BH = 10 cm. Find the area of the figure.
Level 3
In the figure, CEGH is a quadrilateral with an area of 110 cm2. The ratio of AH to HG to GF is 4 : 3 : 2. Given that the height of Triangle HOF is 20 cm, AF = 36 cm, and BH = 10 cm. Find the area of the figure.
Level 3
Jane was attempting to read a book within a week. On Monday, she had read 37 of the book. By Friday, she had read another 60 pages and the ratio of the number of pages read to the total number of pages was 9 : 11. Find the average number of pages Jane should have read each day to complete the book in a week.
Level 3
At first, the ratio of the number of boys to the number of girls at a school playground was 2 : 5. When 48 girls and some boys entered the playground, the number of girls increased by 12% and the total number of children at the playground increased by 20%.
How many boys were there at first?
What percentage of the children at the playground were boys in the end? Express your answer as a mixed number.
Level 3
The ratio of the area of Rectangle A to that of Rectangle B to that of Rectangle C is 5 : 4 : 3. 310 of Rectangle A and 16 of Rectangle C are shaded. The shaded area is 36 cm2. Find the total unshaded area of the figure.
Level 3
The ratio of the area of Rectangle A to that of Rectangle B to that of Rectangle C is 5 : 4 : 3. 310 of Rectangle A and 16 of Rectangle C are shaded. The shaded area is 36 cm2. Find the total unshaded area of the figure.
Level 3
This figure is not drawn to scale. Wheel A and Wheel B are touching a vertical plastic sheet. The ratio of the radius of the small wheel A to the radius of the big wheel B is 2 : 5. The total radii of Wheel A and Wheel B is 196 cm. Both wheels are rolled out in opposite direction shown until they are 2660 cm apart. The two wheels need to make the same number of revolutions. How many revolutions does each wheel make assuming that each wheel must make a complete revolution? (Take π = 227)
Level 3
This figure is not drawn to scale. Wheel A and Wheel B are touching a vertical plastic sheet. The ratio of the radius of the small wheel A to the radius of the big wheel B is 2 : 5. The total radii of Wheel A and Wheel B is 196 cm. Both wheels are rolled out in opposite direction shown until they are 2660 cm apart. The two wheels need to make the same number of revolutions. How many revolutions does each wheel make assuming that each wheel must make a complete revolution? (Take π = 227)
Level 3 The figure shows a rectangle with its corners cut out. Each of the 4 identical corners cut out is a quarter circle. The ratio of the length of the rectangle to its breadth is 13 : 5.
What is the radius of each quarter circle?
What is the perimeter of the shaded part. Take π = 3.14. Give your answer correct to 1 decimal place.
Level 3 The figure shows a rectangle with its corners cut out. Each of the 4 identical corners cut out is a quarter circle. The ratio of the length of the rectangle to its breadth is 13 : 5.
What is the radius of each quarter circle?
What is the perimeter of the shaded part. Take π = 3.14. Give your answer correct to 1 decimal place.
