Level 3
The figure shows a square that is cut out from a big triangle. The area of the triangle and that of the square are whole numbers. Both the height and the base of the triangle are equal. If the shaded area is 73 cm2, find
The length of the square
The base of the triangle
Level 3
The figure shows a square that is cut out from a big triangle. The area of the triangle and that of the square are whole numbers. Both the height and the base of the triangle are equal. If the shaded area is 73 cm2, find
Level 3
The figure, not drawn to scale, is made up of two identical right-angled triangles, a small square and a big square. The lengths of the 2 squares are whole numbers. The perimeter of the shaded region is 32 cm, and the total area of the two unshaded squares is 89 cm2. Find the total area of the two shaded right-angled triangles.
Level 3
The figure, not drawn to scale, is made up of two identical right-angled triangles, a small square and a big square. The lengths of the 2 squares are whole numbers. The perimeter of the shaded region is 32 cm, and the total area of the two unshaded squares is 89 cm2. Find the total area of the two shaded right-angled triangles.
Level 3
Mr Lim had a square garden as shown in the diagram. He built a path of width 1 m around it. Given that the area of the path was 9 m2, find the area of the garden.
Level 3
Mr Lim had a square garden as shown in the diagram. He built a path of width 1 m around it. Given that the area of the path was 9 m2, find the area of the garden.
Level 3 Ryan bought fewer than 15 packets of pencils. Each packet contained 20 pencils. He gave his teachers one packet of pencils each before giving an equal number of pencils to his 11 classmates and had 8 pencils left. He had less than 10 teachers.
How many pencils did each of his classmates receive?
What is the maximum number of teachers he could give a packet each to?
Level 3
In a restaurant, a rectangular table can seat 10 persons and a round table can seat 5 persons. During lunch time, all the tables in the restaurant were occupied. The number of each type of table in the restaurant is more than 10 and less than 15. If there were 205 customers, how many tables of each type were there for them? (a) Round tables (b) Rectangular tables