Mixed Unit Conversion Problems
Show your working for each question. Remember to convert units where necessary.
1. Length Conversions
A rope is 3.6 metres long. It is cut into pieces that are each 45 cm long. How many pieces can be made?
Answer: _______________________________
2. Mass Conversions
A bag contains 2.5 kg of flour. If 350 g is used for one recipe, how many grams of flour remain?
Answer: _______________________________
3. Capacity Conversions
A water tank holds 4500 mL of water. If 2.3 L is added, what is the total capacity in litres?
Answer: _______________________________
4. Distance Problem
Sarah runs 3.2 km on Monday, 2850 m on Wednesday, and 4.1 km on Friday. What is her total distance in kilometres?
Answer: _______________________________
5. Shopping Problem
A recipe requires 800 g of sugar. Sugar is sold in 2 kg bags. How many grams will be left after making the recipe?
Answer: _______________________________
6. Mixed Units
A jug contains 1.8 L of juice. If 250 mL is poured into each glass, how many full glasses can be filled?
Answer: _______________________________
7. Comparison Problem
Box A weighs 1.45 kg and Box B weighs 1620 g. What is the difference in mass in grams?
Answer: _______________________________
8. Multi-step Problem
A rectangular garden path is 8.5 m long and 120 cm wide. What is the perimeter of the path in metres?
Answer: _______________________________
9. Challenge Problem
A container holds 5.6 L of water. After 875 mL is removed, then 1.2 L is added, how many millilitres of water are in the container?
Answer: _______________________________
10. Real-world Application
A delivery truck travels 45.6 km in the morning and 38 500 m in the afternoon. What is the total distance travelled in kilometres?
Answer: _______________________________