Level 3
ABC is a right-angled triangle. 4 such identical triangles are used to form the Square WXYZ. Find the length of each side of the big Square WXYZ.
3 m
Level 3
The shaded figure is made up of 3 identical squares of side 10 cm and a triangle with a height of 36 cm. What is the area of the figure?
3 m
Level 3
The figure is made up of 3 similar overlapping squares of side 6 cm. The squares touched one another at Corners A, B, C, D and E. Jim shaded the parts where the squares overlapped each other.
  1. Find the area of the unshaded part of the figure.
  2. What fraction of the figure is the shaded part?
3 m
Level 3
The figure shows an irregular 5-sided figure and a square. The area of the five-sided figure was three times the area of the square. After the shaded part was removed, the area of the remaining square became 15% of the total remaining area of both figures. If the area of the shaded part is 16 cm2, find the remaining area of the 5-sided figure.
4 m
Level 3
In the figure, EFG is an equilateral triangle, ABCD is a square and FBCG is a straight line. Find the sum of ∠a, ∠b, ∠c and ∠d.
4 m
Level 3
In the figure not drawn to scale, 4 identical rectangles were placed around square ABCD to form a larger square, EFGH. The area of one rectangle is 12 cm2, and the area of ABCD is 14 of EFGH. Find the length of one rectangle.
4 m
Level 3
ABHI and CDGH are identical squares. Given that ∠DEF = 60° and FI is a straight line, find ∠HBC.
4 m
Level 3
Container A, measuring 25 cm by 12 cm by 21 cm, is filled with water to the brim. Container B is an empty rectangular container with a square base of edge 20 cm. After some water from Container A is poured into Container B, the height of water in the two containers is the same. Find the height of the water.
5 m
Level 3
A room has dimensions 252 cm by 125 cm. Tiles with dimension 20 cm by 12 cm were arranged on the floor. What is the maximum number of complete tiles that can be placed on the floor?
4 m
Level 3
Figure ABCD is made up of 3 identical rectangles and a square. The perimeter of the whole figure ABCD is 80 cm. What is the area of the figure ABCD?
4 m