Name: ______

Stage 1 Mathematics

Applications – Measurement – Revision.

I have purchased a block of land and need to determine the cost that would be incurred in making various improvements to the land. The block is rectangular and measures 50m x 20m. This is quiet a large block.

  1. To erect a fence I need to know the perimeter. What is the perimeter?
  1. Fencing comes in panels 3m long. How many panels would I require?
  1. The panels come in two heights 150cm and 180cm if 150cm panels cost $35 each and 180cm panels cost $55 each, how much would it cost to fence the block using each of the different sizes?
  1. I am not sure I like the colour of the panels and am considering painting them. What is the area of each panel?
  1. What is the total area to be painted?
  1. If 1litre of paint covers 14m2 how many litres of paint will be required?
  1. Paint comes in 4litre containers. How many containers will be required?
  1. Each container costs $32. How much will the paint cost?
  1. I would like to have a grassed area at the front as shown with a 1m path around three sides of it.
  1. The lawn will be 20m long. What will be the area of the lawn?
  1. Instant lawn comes in strips 75cm wide and 3m long. How many strips will I require?
  1. Each strip of lawn costs $7. What will be the cost of the lawn?
  1. The house will be rectangular as shown, with a 1m concrete path around the outside to keep water away from the foundations.
  2. If the house is 15m wide and 17m long.
  3. What is it’s perimeter?
  1. What would be the perimeter of the outside of the path?
  1. What would be the area of the path?
  1. If the path were to be 10cm thick what volume of concrete would be required?
  1. If the ceilings of the house were 2.7m above the floor what would be the volume of the house?
  1. The lounge measures 3.5 by 4.5 metres, what would be the surface area of the walls?
  1. If I bought a single flush toilet cistern and it discharged a volume of 10litres per flush and was flushed 10 times per day what volume of water could I save per year if I put a 25cm x 10cm x 8cm house brick in the cistern?
  1. Water costs $1.03 per 1,000 litres. How much would this brick strategy save me per year?
  1. The cistern cost $275 a dual flush model, which on average saved the same amount of water cost $400.

Comment:

(to be continued)

  1. I would like a lap pool in the back yard. This would have to be 19m long so it will fit in the yard and be a length worth swimming. 1m wide and on average 1.5m deep. What would be the volume of this pool?
  1. How many litres of water would it hold?
  1. How much would it cost to fill the pool. We know from previously that water costs $1.03/1000litres.
  1. The tap in the backyard discharges water at a rate of 10litres per minute. How long would it take to fill the pool?
  1. In the summer on a hot day the level of the pool drops 2cm per day. What volume of water is being lost to evaporation each day.
  1. How much is this per week?
  1. How long would it take to replace the evaporated water each week?
  1. How much would this water cost?

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