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Migration Maths Journey

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Migration Maths Journey

Use the fictional migration data and journey details below. Show your working for calculations, simplify ratios where possible, and include units in your answers.

Read the journey data

For a class investigation, a fictional community group recorded these example arrival figures. They are invented for practising ratios and do not represent actual migration totals.

Period

From Island A

From Island B

Week 1

Week 2

1.In Week 1, write the ratio of arrivals from Island A to arrivals from Island B. Give it in simplest form.

2.How many arrivals were recorded altogether in Week 2?

3.Choose the equivalent ratio to 20:15.

4.A fraction bar is divided into 5 equal sections, with 3 sections shaded to represent Island A arrivals and the remaining sections representing Island B arrivals. What is the ratio of Island A arrivals to Island B arrivals?

5.If the Week 1 arrivals were represented by 5 equal groups, how many arrivals would each group represent? Use the simplified ratio 3:2.

Plan the next leg

The group is planning supplies for a fictional voyage and comparing proportional amounts.

6.For every 4 adults on a planning team, there are 3 young people. If 28 adults are taking part, how many young people are there when the ratio stays the same?

7.A supply box contains 6 kg of rice for every 4 kg of dried fruit. Write the rice-to-fruit ratio in simplest form.

8.A navigator says, “The ratio 12:8 is equivalent to 3:2 because both parts of 3:2 were multiplied by 4.” Is the statement true or false? Explain briefly.

9.A route has a scale of 1 cm to 80 km. Two island stops are 6.5 cm apart on the route. What is the real distance between them?

10.Compare the two weeks in the data grid. In which week was the ratio of Island A arrivals to Island B arrivals greater? Show each ratio in simplest form and explain your choice.