Practice Maths

Topic Review — Rates & Ratios — Solutions

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  1. Unit rates

    1. $36 for 9 L:
    2. 280 km in 4 h:
    3. 480 km on 60 L:
    4. 3 L/min to L/h:
    5. 90 km/h to m/s:
    6. Store A vs B:

  2. Simplifying and using ratios

    1. 36:24:
    2. 75:100:
    3. 4:7 = ?:35:
    4. 5:3 = 25:?:
    5. Ratio 3:5 as fractions:
    6. Ratio 2:3 as percentages:

  3. Graphing proportional relationships

    1. Tap at 20 L/min — ratio and points:
    2. Equation from table (x=1,2,3,4; y=5,10,15,20):
    3. Graph through (0,0) and (8,40):
    4. Is y = 3x + 2 proportional?

  4. Dividing quantities in a given ratio

    1. $180 in 2:3:
    2. 420 mL in 3:4:
    3. $1200 in 1:3:2:
    4. Smaller share $60, ratio 5:3:
    5. $540 in 4:3:2:

  5. Mixed problem solving

    1. Fuel cost for 400 km trip:
    2. White paint for 750 mL red (ratio 3:1):
    3. Workers paid 5:4 from $1620:
    4. Graph (0,0) to (2.5,175) — speed and 4-hour distance:
    5. Best value — 2 L at $8.40 vs 500 mL at $2.30: