Ratio tables

1. Two identical bottles hold 3 L altogether. How much do 6 hold?

   2 marks
2. Five identical rulers cost 15 dollars. Find the costs of 1 ruler and 8 rulers.

   2 marks
3. For red:blue $3:4$, complete $\left(3,4\right)$, $\left(6,\square \right)$, $\left(\square ,20\right)$.

   2 marks
4. A map uses 1 cm for 5 km. Find the distances for 3 cm, 7 cm and 10 cm.

   3 marks
5. Hours and pay are $\left(1,18\right)$, $\left(2,36\right)$, $\left(3,54\right)$ and $\left(4,70\right)$. Which entry breaks a fixed hourly-rate model?

   3 marks
6. Two equal rows have 8 seats. Find seats in 3, 5 and 7 such rows.

   3 marks

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

1. Two identical bottles hold 3 L altogether. How much do 6 hold?

   2 marks

   Multiply both bottle count and total volume by 3.

   9 L.
2. Five identical rulers cost 15 dollars. Find the costs of 1 ruler and 8 rulers.

   2 marks

   One costs $\frac{15}{5}=3$ dollars.

   Eight cost $8\left(3\right)=24$ dollars.

   3 dollars and 24 dollars.
3. For red:blue $3:4$, complete $\left(3,4\right)$, $\left(6,\square \right)$, $\left(\square ,20\right)$.

   2 marks

   Double the known pair for $\left(6,8\right)$.

   Multiply by 5 for $\left(15,20\right)$.

   8 and 15.
4. A map uses 1 cm for 5 km. Find the distances for 3 cm, 7 cm and 10 cm.

   3 marks

   Multiply each map length by 5 km per centimetre.

   15 km, 35 km and 50 km.
5. Hours and pay are $\left(1,18\right)$, $\left(2,36\right)$, $\left(3,54\right)$ and $\left(4,70\right)$. Which entry breaks a fixed hourly-rate model?

   3 marks

   The first three pairs give 18 dollars per hour.

   Four hours should give $4\left(18\right)=72$ dollars.

   70 dollars for 4 hours; the matching pay is 72 dollars.
6. Two equal rows have 8 seats. Find seats in 3, 5 and 7 such rows.

   3 marks

   One row has $\frac{8}{2}=4$ seats.

   Multiply 4 by 3, 5 and 7.

   12, 20 and 28 seats.