Level 3
The figure shows a tank made up of 3 sections. Cuboid A with a square base of side 4 cm and height 30 cm. Cube B with a side of 12 cm. Cuboid C that is 60 cm by 20 cm by 40 cm. Water from a tap above flows down at a rate of 1.2 litres per minute while water is drained out from the bottom at a rate of 1 litre per minute. How long did it take to fill up the tank to a height of 66 cm from the base? Give the answer in minutes correct to nearest whole number.
Level 3
The figure shows a tank made up of 3 sections. Cuboid A with a square base of side 4 cm and height 30 cm. Cube B with a side of 12 cm. Cuboid C that is 60 cm by 20 cm by 40 cm. Water from a tap above flows down at a rate of 1.2 litres per minute while water is drained out from the bottom at a rate of 1 litre per minute. How long did it take to fill up the tank to a height of 66 cm from the base? Give the answer in minutes correct to nearest whole number.
Level 2
The figure (not drawn to scale) is made of two concentric circles. AB is the radius of the bigger circle. AC is the radius of the smaller circle. AB is 35 cm while AC is 14 cm. Find the area of the shaded region. (Take π = 227)
Level 2
The figure (not drawn to scale) is made of two concentric circles. AB is the radius of the bigger circle. AC is the radius of the smaller circle. AB is 35 cm while AC is 14 cm. Find the area of the shaded region. (Take π = 227)
Level 2
The figure is made up of 2 triangles, ABC and ACD. The length of AD is thrice as much as the length of BC. AB is perpendicular to AD and BC. Find the area of figure ABCD.
Level 2
The figure is made up of 2 triangles, ABC and ACD. The length of AD is thrice as much as the length of BC. AB is perpendicular to AD and BC. Find the area of figure ABCD.
Level 3
The patterns show a sequence of shapes. Each shape has a number of small right-angled triangles. A dot is placed at each point where there is a vertex of one or more right-angled triangles. The total number of dots and the number of small right-angled triangles of each figure is shown in a table.
Find the total number of dots required to form Pattern 4.
Find the total number of dots required to form Pattern 20.
Find the number of small right-angled triangles in Pattern 50.
Level 3
The patterns show a sequence of shapes. Each shape has a number of small right-angled triangles. A dot is placed at each point where there is a vertex of one or more right-angled triangles. The total number of dots and the number of small right-angled triangles of each figure is shown in a table.
Find the total number of dots required to form Pattern 4.
Find the total number of dots required to form Pattern 20.
Find the number of small right-angled triangles in Pattern 50.
