Level 3
James formed some figures using squares and circles as shown
  1. Find the number of squares in Figure 6.
  2. Find the total number of circles and squares in Figure 10.
  3. A figure in the pattern has a total of 6481 circles and squares. What is the Figure Number?
4 m
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Level 3
Peter had a square piece of paper. He cut it along the dotted lines as shown in Figure 1 to get one small square of side 2 cm and four identical right-angled triangles. One such triangle is shown in Figure 2. Find the perimeter of the square piece of paper in Figure 1 before it was cut.
3 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 2
The figure shows a piece of square paper with two of the corners folded. Triangle A and Triangle B are identical and Triangle XYZ is an equilateral triangle. Find the area of the shaded part.
3 m
Level 3
PQRS is a square of area 64 cm2. X and Y are midpoints of PQ and PS respectively. Find the area of the shaded triangle.
3 m
Level 2
Abby used a piece of wire 3.68 m long to make 4 squares as shown. What is the length of AB?
3 m
Level 2
The figure is made up of two identical rectangles and a square. Find the perimeter of the figure.
3 m
Level 3
In the figure, The area of the Square A is 16 cm2 and the area of Square B is 36 cm2. Find the perimeter of the figure.
3 m
Level 3
In the figure, MNOP is a square and OPQ is an equilateral triangle. Find ∠a.
3 m
Level 3
A thin wire, 132 cm long, is bent to form Figure 1 which consists of a square and a rectangle. If the wire does not overlap and the breadth of the rectangle is one third its length, what is the perimeter of the figure?
3 m