Level 3
Roger had some rope with a total length of 24 m. He used 23 of the rope to tie a wooden structure for outdoor cooking and 34 of the remaining rope to strengthen the pegs for his tent. How much rope did he have left? Give your answer in meters.
4 m
Level 3
The figure, not drawn to scale, is made up of Rectangle A and Rectangle B overlapping each other. The area of Rectangle A is 34 the area of Rectangle B. Given that 14 of Rectangle A is shaded. What fraction of the total area of the figure is unshaded?
5 m
Level 3
The figure is not drawn to scale. 16 of the rectangle and 35 of the square is shaded as shown. What fraction of the figure is shaded?
4 m
Level 3
In the figure, ABCD is a square of sides 24 cm. G is the midpoint of BD. DE = EC. DG is 4 times of FG. AH is 38 of AG. Find the total shaded area.
5 m
Level 3
ABCD is a rectangle which has a breadth of 8 cm. It is divided into 4 triangles. Triangle X is 110 of the area of the rectangle and 13 the area of Triangle Z. Triangle Y has an area of 12 cm2.
  1. Find the area of the rectangle.
  2. Find the perimeter of the rectangle.
5 m
Level 3
Katrina spent some of her money on a dress, a pair of shoes and some neckties. She spent 15 of her money and an additional $119 on a dress. Next, she spent 27 of the remaining money and an additional $29 on a pair of shoes. Finally, she spent 23 of what she had left on some neckties and had $12 left. How much did Katrina have at first?
5 m
Level 3
Henry, Rael and Anna share a sum of money. Henry's share is half of what Rael and Anna receive. Rael's share is 39 of the sum of money. Anna receives $20 less than Henry.
  1. What fraction of the sum of money is Henry's share?
  2. How much is the sum of money?
4 m
Level 3
Rose and Aaron had the same amount of savings at first. Then Rose spent 15 of her savings and Aaron spent 23 of his savings. If Rose spent $5201 less than Aaron, how much did each of them have at first?
4 m
Level 3
Brenda spent 47 of her money and additional $32 on some books. She spent 15 of her remaining money on stationery. Given that Brenda was left with $8, how much money did she have at first?
4 m
Level 3
Brenda spent 47 of her money and an additional $15 on some books. She spent 15 of her remaining money and additional $12 on stationery. She spent 23 of the rest of the money on toys. Given that Brenda was left with $8, how much money did she have at first?
4 m