Level 3
Each figure is made up of a number of identical sticks of 1-cm length.
  1. Find the perimeter of Figure 50.
  2. Find the number of sticks in Figure 100.
  3. Given that a figure has a perimeter, P, of 254 cm, find the number of squares in this figure.
4 m
Level 3
The area of the triangle to the area of the rectangle in the figure is in the ratio 3 : 2. After the shaded rectangle of length 8 cm is removed from the figure, the ratio of the remaining area of the triangle to the remaining area of the rectangle is 5 : 3. Given that the area of the triangle is 32 cm2 more than the area of the rectangle, find the width of the shaded rectangle that is being removed.
4 m
Level 3
The figure shows 2 rectangles. The length of the bigger rectangle is (6m + 8) cm and the breadth is half its length. Find the perimeter of the smaller rectangle.
4 m
Level 3
The perimeter of triangle A is equal to that of rectangle B.
  1. Find the length of rectangle B in terms of k.
  2. If k = 3, find the area of rectangle B.
4 m
Level 3
A rectangle has a length of 16 cm and a breadth of 4q cm. Find
  1. its area in terms of q,
  2. its perimeter in terms of q,
  3. the area of the rectangle if q = 3.
4 m
Level 2
The figure is made up of a square and a rectangle. The area of the square is 13 the area of the rectangle. Given that 12 of the square is shaded, what fraction of the whole figure is unshaded?
3 m
Level 3
A rectangle measures 20 cm by 16 cm. Its length and breadth are both increased by 25%. Find the percentage increase in its area.
4 m
Level 3
A rectangle is 25 cm long and 20 cm wide. Its length is now increased by 40% and its breadth is increased by 50%. Find the perimeter of the new rectangle.
4 m
Level 3
The length and the breadth of a rectangle are both decreased by 20%. By how many percentage will its area be decreased by?
4 m
Level 3
The figure, not drawn to scale, is made up of Square A and Rectangles B and C. The area of Square A is 89 of the total area of Rectangles B and C. 14 of Square A is shaded. 14 of Rectangle B is shaded. 16 of Rectangle C is shaded. What fraction of the figure is shaded?
4 m