Pass Check: Ratio & Proportion
Sharing in a ratio, simplifying, and combining ratios using a common part.
Ratio
A way of comparing two or more quantities, written like 3:5.
Simplifying a ratio
Dividing all parts by their highest common factor to get the smallest whole numbers.
Unitary method
Finding the value of one part of a ratio, then scaling up.
Equivalent ratio
A ratio that represents the same proportion, made by multiplying or dividing all parts by the same number.
Quick check
Mixed quiz
1. £42 is shared in the ratio 4:3. Calculate the smaller of the two shares.
2. A recipe for 5 people uses 375 g of flour. Calculate the flour needed for 12 people.
3. A recipe for 7 people uses 550 g of flour. Calculate the flour needed for 9 people.
4. Two friends share money in the ratio 2:5. One receives £18 more than the other. Calculate the total amount shared.
5. A recipe for 7 people uses 300 g of flour. Calculate the flour needed for 11 people.
6. Two friends share money in the ratio 3:4. One receives £6 more than the other. Calculate the total amount shared.
7. Two friends share money in the ratio 5:6. One receives £4 more than the other. Calculate the total amount shared.
8. Two friends share money in the ratio 4:6. One receives £14 more than the other. Calculate the total amount shared.