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Ratio, SM-Bank 003

James was building a lego house and has the pieces below left over.

Calculate:

  1. the ratio of blue bricks to yellow.  (1 mark)

  2. the ratio of pink bricks to the total leftover bricks.  (1 mark)

  3. the ratio of yellow bricks to other leftover bricks.  (1 mark)

Show Answers Only

a.    \(4:5\)

b.    \(2:11\)

c.    \(5:6\)

Show Worked Solution

a.    \(\text{Blue}:\text{Yellow}=4:5\)

b.    \(\text{Total Bricks}=2+4+5=11\)

\(\text{Pink}:\text{Total}=2:11\)

c.    \(\text{Total other bricks}=2+4=6\)

\(\text{Yellow}:\text{Other}=5:6\)

Ratio, SM-Bank 002

A fruit bowl contains 8 apples, 7 bananas, 1 pear and 13 oranges.

Calculate:

  1. the ratio of apples to oranges.  (1 mark)

  2. the ratio of oranges to the total pieces of fruit in the bowl.  (1 mark)

  3. the ratio of pears to other pieces of fruit.  (1 mark)

Show Answers Only

a.    \(8:13\)

b.    \(13:29\)

c.    \(1:28\)

Show Worked Solution

a.    \(\text{Apples}:\text{Oranges}=8:13\)

b.    \(\text{Total Fruit}=8+7+1+13=29\)

\(\text{Oranges}:\text{Total}=13:29\)

c.    \(\text{Total other fruit}=8+7+13=28\)

\(\text{Pear}:\text{Other}=1:28\)

Ratio, SM-Bank 001

A bag contains 3 red marbles, 4 blue marbles and 8 white marbles.

Calculate:

  1. the ratio of red marbles to blue marbles.  (1 mark)

  2. the ratio of white marbles to the total number of marbles.  (1 mark)

  3. the ratio of blue marbles to other colours.  (1 mark)

Show Answers Only

a.    \(3:4\)

b.    \(8:15\)

c.    \(4:11\)

Show Worked Solution

a.    \(\text{Red}:\text{Blue}=3:4\)

b.    \(\text{Total marbles}=3+4+8=15\)

\(\text{White}:\text{Total}=8:15\)

c.    \(\text{Total other marbles}=3+8=11\)

\(\text{Blue}:\text{Other}=4:11\)