Sec 1 Mathematics Perimeter, Area & Volume topical questions

Convert each measurement.

1. (a)3.6 m to cm[1]
2. (b)0.75 m² to cm²[1]
3. (c)4 500 cm³ to litres[1]

A parallelogram has a base of 12 cm and a perpendicular height of 7 cm. Find its area.

A rectangular photo frame measures 25 cm by 20 cm. Find the length of the framing strip around it.

A trapezium has parallel sides of 9 cm and 13 cm and a height of 5 cm. Find its area.

Convert each measurement.

1. (a)2.4 km to metres[1]
2. (b)30 000 cm² to m²[1]
3. (c)2.5 litres to cm³[1]

A triangle has a base of 16 cm and a perpendicular height of 9 cm. Find its area.

A bedroom floor is 5 m long and 4 m wide. Floor tiles are squares of side 50 cm.

1. (a)Find the area of the floor in m².[1]
2. (b)Find the area of one tile in m².[1]
3. (c)How many tiles are needed to cover the floor?[2]

A composite card shape is a 10 cm by 8 cm rectangle with a 4 cm by 3 cm rectangular window cut out of the middle.

1. (a)Find the area of the whole rectangle.[1]
2. (b)Find the area of the cut-out.[1]
3. (c)Find the area of card remaining.[1]
4. (d)The card is 0.1 cm thick. Find the volume of the remaining card.[1]

A closed cuboid box measures 15 cm by 10 cm by 8 cm.

1. (a)Find its volume.[1]
2. (b)Find its total surface area.[2]
3. (c)Find the length of the tape that runs right around the box along the 15 cm by 10 cm face (once around, back to the start).[1]

An HDB bedroom floor measures 4.2 m by 3.4 m. Vinyl flooring is installed at $16 per square metre.

1. (a)Find the area of the floor.[2]
2. (b)Find the total cost of the flooring.[2]

A swimming pool measures 25 m by 10 m with a uniform depth of 1.8 m.

1. (a)Find the volume of the pool in m³.[1]
2. (b)Convert your answer to litres.[1]
3. (c)Water flows in at 500 litres per minute. How many minutes does a full fill take?[2]
4. (d)Write the filling time in hours.[1]

A cylindrical water tank has a radius of 70 cm and a height of 1.5 m. Take pi as 22/7.

1. (a)Find the volume of the tank in cm³.[2]
2. (b)Convert your answer to litres.[1]
3. (c)Water flows out of the full tank at 20 litres per minute. How long does it take to empty, in minutes?[2]

An open rectangular tank (no lid) measures 40 cm by 30 cm at the base and is 25 cm tall.

1. (a)Find the area of the base.[1]
2. (b)Find the total area of glass needed to build the tank.[3]
3. (c)How many litres does the tank hold when full?[1]

A solid metal cube of edge 6 cm is melted down and recast into a bar 9 cm long and 4 cm wide.

1. (a)Find the volume of the cube.[1]
2. (b)State the volume of the recast bar, with a reason.[1]
3. (c)Find the height of the bar.[2]

A closed cylindrical drum has a radius of 21 cm and a height of 40 cm. Take pi as 22/7.

1. (a)Find the volume of the drum.[2]
2. (b)Find the curved surface area.[1]
3. (c)Find the surface area of the whole closed drum, ends included.[2]