Ratio notation and part-to-part/whole meaning

1. There are 5 red counters and 3 blue counters. Write red:blue.

   2 marks
2. There are 8 apples and 2 pears. Write pears:apples.

   2 marks
3. A class has 12 students who walk and 8 who cycle. Write walkers:all students.

   2 marks
4. In the counter picture, what fraction of the counters is yellow?

   2 marks

5. A short string is 30 cm and a long string is 1.2 m. Write short:long in simplest form.

   3 marks
6. Flour:sugar is $4:1$. Is sugar one-quarter or one-fifth of the combined flour and sugar? Explain.

   3 marks

Equivalent correct methods earn the corresponding marks. Include units where asked.

1. There are 5 red counters and 3 blue counters. Write red:blue.

   2 marks

   Put red first and blue second.

   $5:3$.
2. There are 8 apples and 2 pears. Write pears:apples.

   2 marks

   Pears comes first: $2:8$.

   Divide both entries by 2 for simplest form.

   $2:8$, or $1:4$.
3. A class has 12 students who walk and 8 who cycle. Write walkers:all students.

   2 marks

   There are $12+8=20$ students.

   Write $12:20$ and divide both entries by 4.

   $12:20$, or $3:5$.
4. In the counter picture, what fraction of the counters is yellow?

   2 marks

   There are 2 yellow counters out of 5 altogether.

   $\frac{2}{5}$.
5. A short string is 30 cm and a long string is 1.2 m. Write short:long in simplest form.

   3 marks

   Convert 1.2 m to 120 cm.

   Simplify $30:120$ by dividing both entries by 30.

   $1:4$.
6. Flour:sugar is $4:1$. Is sugar one-quarter or one-fifth of the combined flour and sugar? Explain.

   3 marks

   There are $4+1=5$ parts altogether.

   Sugar is one of those five parts.

   One-fifth.