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Measurement, STD2 M7 SM-Bank 13

A scalene triangle has angles in the ratio  9 : 2 : 4.

In degrees, what is the size of its largest angle?  (2 marks)

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`108°`

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`text(Smallest angle)` `= text(largest part)/text(total parts) xx 180`
  `= 9/(9+2+4) xx 180`
  `= 108°`

Measurement, STD1 M5 2019 HSC 29

Concrete is made by mixing cement, sand and aggregate. Different types of concrete are produced by changing the ratio of the mix of these materials.The table shows the ratio of the materials for different types of concrete and examples of their common use.
 

The amount of concrete required for a patio slab is 3.5 cubic metres.

How many cubic metres of sand will be needed?   (2 marks)

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`1.05\ text(m³)`

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`text(Patio ratio,)`

♦ Mean mark 34%.

`text(Cement : Sand : Aggregate )` `= 1:3:6`

 
`text(Concrete required = 3.5 m³)`

`:.\ text(Sand required)` `= text(sand parts)/text(total parts)  xx 3.5`
  `= 3/(1+3+6) xx 3.5`
  `= 1.05\ text(m³)`