Chapter 5: Rates and Ratios Notes

Concentration and dilution, drip rates, heart rate and training zones, fuel and energy efficiency, dividing in a ratio, scale drawings, plans and elevations, and finding land areas from survey plans.

Sections

  1. 5A Rates and concentration Mastered

    Rates with two different units, concentration as a rate (g/L, mg/mL, % w/v and % v/v), diluting a solution, and drip rates for intravenous fluids.

  2. 5B Heart rate Mastered

    Heart rate in beats per minute from a count over a shorter time, estimated maximum heart rate, target training zones, recovery rate, and how much blood the heart pumps.

  3. 5C Energy and fuel consumption rates Mastered

    Converting between L/100 km and km/L, comparing petrol, hybrid and electric cars by cost per kilometre and per year, payback time for a more efficient car, gas use in MJ, and solar power savings.

  4. 5D Ratios and dividing in a ratio Mastered

    Simplifying ratios with mixed units, two- and three-part ratios, dividing a quantity in a given ratio, and the unitary method when one share or a difference is known.

  5. 5E Scale drawings, plans and elevations Mastered

    Using a scale such as 1:100 to move between plan and real measurements, finding a scale, reading floor plans, site plans and elevations, and using them to find areas, volumes and costs.

  6. 5F Land measurement from plans Mastered

    Offset (traverse) surveys and field books, splitting a block into triangles and trapezia to find its area, converting to hectares, and using the trapezoidal rule with measurements taken from a scaled plan.

Formula sheet