Level 3
A square garden has a side of 40 m. An equal number of trees were planted on each side of the square. Each tree is 8 m away from the next tree. One tree was already planted at points A, B, C and D of the square respectively. How many more trees must be planted?
3 m
Level 3
The figure shows 4 similar right-angled triangles arranged to form a big square which encloses a circle. The midpoints of the 4 sides of the big square touch the circumference of the circle. The two sides which form the right angle of each triangle are 16 cm and 12 cm respectively. Find the area of the shaded part. (Take π = 3.14)
4 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
Level 3
In the figure, triangle DEF was drawn within 3 identical squares of side 9 cm. BC was 8 cm.
  1. Find the area of the shaded figure.
  2. The shaded figure was used as a design and printed on a piece of cloth. After printing, the total shaded area of the piece of cloth was 13005 cm2. What was the length of piece of cloth? (Give your answer in metres.)
4 m
Level 3
The figure is not drawn to scale. MNOP is a square. JKLM is a parallelogram.
  1. Name the trapezium in the figure. Give your answer in letters in alphabetical order. (Eg ABCD)
  2. Find ∠JMP
4 m
Level 3
The figure is made up of a circle, a triangle and a square of sides 28 cm. E is the mid-point of AD. Find the area of the shaded region. (Take π = 227)
4 m
Level 3
Willi noticed the patterns on the square tiles and tried to calculate the area of the shaded part. Leave the answer in 2 decimal places. (Take π = 3.14)
4 m
Level 3
The figure shows a circle with centre O and diameter, 14 cm. ABCD and OAEB are squares. Find the total area of the shaded portions of the figure. (Take π = 227)
4 m
Level 3
The figure is made up of semicircles, a square, ABDF, and a rectangle, BCEF. The length of the square, ABDF, is 20 cm. Find the area of the shaded figure. Leave the answer in terms of π .
4 m