Chapter 8, Weight and Capacity, deals with converting between grams and kilograms, millilitres and litres, and using the unitary method to scale amounts up or down. These extra questions use market and kitchen situations to practise the conversions.
Practice Questions
Q1. 1 kg equals how many grams? Convert 3 kg to grams.
1 kg = 1000 g, so 3 kg = 3000 g.
Q2. A bottle holds 250 mL. How many bottles are needed to fill a 2-litre container?
2 litres = 2000 mL; 2000 ÷ 250 = 8 bottles.
Q3. A sack of rice weighs 5000 g. Express this in kilograms.
5000 g = 5 kg.
Q4. If 4 identical boxes weigh 12 kg together, use the unitary method to find the weight of 1 box, then of 7 boxes.
1 box = 12 ÷ 4 = 3 kg; 7 boxes = 3 × 7 = 21 kg.
Q5. A jug holds 1 litre 500 millilitres of water. What is this in millilitres?
1 L 500 mL = 1000 mL + 500 mL = 1500 mL.
Why These Help
Weight and capacity conversions come up constantly while shopping, cooking and reading product labels, and the unitary method used here (find the value of one, then scale up or down) is a tool that reappears throughout later chapters on ratio and proportion.
Frequently Asked Questions
Q. What is the unitary method?
It is a way of solving problems by first finding the value of a single unit and then multiplying (or dividing) to find the value of any number of units.
See the Chapter 8 Solutions and Revision Notes for the full walkthrough.
