Measures, Shape and Space

How many centimetres are in 1 metre?

• A10
• B100✓
• C1,000
• D10,000

Answer: 1 metre = 100 centimetres.

How many millimetres are in 1 centimetre?

• A10✓
• B100
• C1,000
• D10,000

Answer: 1 centimetre = 10 millimetres.

How many grams are in 1 kilogram?

• A100
• B500
• C1,000✓
• D10,000

Answer: 1 kilogram = 1,000 grams.

How many millilitres are in 1 litre?

• A100
• B500
• C1,000✓
• D10,000

Answer: 1 litre = 1,000 millilitres.

Convert 5 metres to centimetres.

• A500 cm✓
• B50 cm
• C50,000 cm
• D5,000 cm

Answer: 5 metres × 100 = 500 centimetres.

What is the perimeter of a rectangle with length 8 cm and width 5 cm?

• A26 cm✓
• B40 cm
• C13 cm
• D20 cm

Answer: Perimeter = 2(length + width) = 2(8 + 5) = 2 × 13 = 26 cm.

What is the area of a rectangle with length 7 cm and width 4 cm?

• A56 cm²
• B11 cm²
• C22 cm²
• D28 cm²✓

Answer: Area = length × width = 7 × 4 = 28 cm².

How many seconds are in 1 minute?

• A30
• B60✓
• C100
• D120

Answer: 1 minute = 60 seconds.

How many minutes are in 1 hour?

• A30
• B60✓
• C100
• D120

Answer: 1 hour = 60 minutes.

What is the area of a triangle with base 10 cm and height 6 cm?

• A16 cm²
• B30 cm²✓
• C60 cm²
• D120 cm²

Answer: Area = (base × height) ÷ 2 = (10 × 6) ÷ 2 = 60 ÷ 2 = 30 cm².

How many hours are in 1 day?

• A12
• B20
• C24✓
• D30

Answer: 1 day = 24 hours.

How many days are in 1 week?

• A5
• B6
• C7✓
• D8

Answer: 1 week = 7 days.

How many weeks are in 1 year (approximately)?

• A42
• B50
• C52✓
• D60

Answer: 1 year ≈ 52 weeks (365 ÷ 7 ≈ 52).

A room is 6 metres long and 4 metres wide. What is its area?

• A48 m²
• B10 m²
• C20 m²
• D24 m²✓

Answer: Area = length × width = 6 × 4 = 24 m².

A square has sides of 5 cm. What is its perimeter?

• A20 cm✓
• B5 cm
• C10 cm
• D15 cm

Answer: Perimeter = 4 × side = 4 × 5 = 20 cm.

How many centimetres are in 2 metres?

• A200 cm✓
• B20,000 cm
• C20 cm
• D2,000 cm

Answer: 2 metres × 100 = 200 centimetres.

Convert 3,000 grams to kilograms.

• A3 kg✓
• B30 kg
• C300 kg
• D0.3 kg

Answer: 3,000 grams ÷ 1,000 = 3 kilograms.

What is the perimeter of a square with sides of 8 cm?

• A32 cm✓
• B64 cm
• C8 cm
• D16 cm

Answer: Perimeter = 4 × side = 4 × 8 = 32 cm.

A rectangle has a length of 12 cm and a width of 3 cm. What is its area?

• A36 cm²✓
• B15 cm²
• C72 cm²
• D30 cm²

Answer: Area = length × width = 12 × 3 = 36 cm².

How many seconds are in 5 minutes?

• A60
• B200
• C300✓
• D500

Answer: 5 minutes × 60 = 300 seconds.

A square has an area of 16 cm². What is the length of one side?

• A4 cm✓
• B2 cm
• C16 cm
• D8 cm

Answer: If area = 16 cm², then side = √16 = 4 cm.

Convert 2.5 kilometres to metres.

• A25 m
• B2,500 m✓
• C250 m
• D25,000 m

Answer: 2.5 km × 1,000 = 2,500 metres.

What is the circumference of a circle with diameter 10 cm? (Use π ≈ 3.14)

• A314 cm
• B31.4 cm✓
• C62.8 cm
• D78.5 cm

Answer: Circumference = π × diameter = 3.14 × 10 = 31.4 cm.

What is the area of a circle with radius 5 cm? (Use π ≈ 3.14)

• A314 cm²
• B15.7 cm²
• C78.5 cm²✓
• D31.4 cm²

Answer: Area = π × r² = 3.14 × 5² = 3.14 × 25 = 78.5 cm².

A cuboid has length 8 cm, width 5 cm, and height 3 cm. What is its volume?

• A120 cm³✓
• B16 cm³
• C40 cm³
• D160 cm³

Answer: Volume = length × width × height = 8 × 5 × 3 = 120 cm³.

Convert 500 millilitres to litres.

• A0.05 L
• B5 L
• C0.5 L✓
• D50 L

Answer: 500 millilitres ÷ 1,000 = 0.5 litres.

Convert 250 centimetres to metres.

• A0.25 m
• B25 m
• C2.5 m✓
• D2,500 m

Answer: 100 centimetres = 1 metre, so 250 ÷ 100 = 2.5 m.

A rectangle has a perimeter of 30 cm and a length of 10 cm. What is its width?

• A5 cm✓
• B10 cm
• C15 cm
• D20 cm

Answer: Perimeter = 2(length + width). 30 = 2(10 + width). 15 = 10 + width. Width = 5 cm.

How many metres are in 5 kilometres?

• A50,000 m
• B500 m
• C50 m
• D5,000 m✓

Answer: 5 kilometres × 1,000 = 5,000 metres.

A triangle has a base of 12 cm and a height of 8 cm. What is its area?

• A20 cm²
• B48 cm²✓
• C192 cm²
• D96 cm²

Answer: Area = (base × height) ÷ 2 = (12 × 8) ÷ 2 = 96 ÷ 2 = 48 cm².

A cylindrical water tank has a radius of 0.5 m and a height of 1.2 m. What is its volume, to 2 decimal places?

• A1.88 m³
• B3.77 m³
• C0.79 m³
• D0.94 m³✓

Answer: The volume of a cylinder is π × radius² × height: π × 0.5² × 1.2 = 0.94 m³.

A cylindrical tin of paint has a diameter of 16 cm and a height of 20 cm. What is its volume, to the nearest cm³?

• A4,021 cm³✓
• B16,085 cm³
• C2,011 cm³
• D1,005 cm³

Answer: The radius is half of the diameter, which is 8 cm, so the volume is π × 8² × 20 = 4,021 cm³.

A hot-water cylinder has a radius of 20 cm and a height of 90 cm. How many litres does it hold, to the nearest litre? (1 litre = 1,000 cm³)

• A452 litres
• B113 litres✓
• C1,131 litres
• D11 litres

Answer: The volume is π × 20² × 90 = 113,097 cm³, and dividing by 1,000 converts that to 113 litres.

A cylindrical bin has a radius of 25 cm and a height of 70 cm. A label wraps right around its curved side. What area of label is needed, to the nearest cm²?

• A5,498 cm²
• B21,991 cm²
• C10,996 cm²✓
• D1,963 cm²

Answer: The curved surface area of a cylinder is 2 × π × radius × height: 2 × π × 25 × 70 = 10,996 cm².

A closed cylindrical tin has a radius of 5 cm and a height of 12 cm. What is its total surface area, to the nearest cm²?

• A377 cm²
• B534 cm²✓
• C456 cm²
• D942 cm²

Answer: The total is the curved side plus both circular ends: (2 × π × 5 × 12) + (2 × π × 5²) = 534 cm².

A cylindrical tank has a base area of 2 m² and holds 5 m³ of water when it is full. How tall is the tank?

• A10 m
• B0.4 m
• C3 m
• D2.5 m✓

Answer: The volume of a cylinder is its base area multiplied by its height, so the height is 5 ÷ 2 = 2.5 m.

Two cylindrical tins are the same height. Tin A has a radius of 4 cm and tin B has a radius of 8 cm. How many times more paint does tin B hold than tin A?

• A2 times
• B8 times
• C4 times✓
• D16 times

Answer: Volume depends on the radius squared, so doubling the radius multiplies the volume by 2 × 2 = 4 times.

A cylindrical boiler is 1.5 m tall and has a diameter of 0.8 m. What area of insulation is needed to wrap around its curved side, to 2 decimal places?

• A3.77 m²✓
• B7.54 m²
• C1.88 m²
• D0.50 m²

Answer: The radius is half of the diameter, which is 0.4 m, so the curved surface area is 2 × π × 0.4 × 1.5 = 3.77 m².