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Measurement, STD1 M5 2023 HSC 9 MC

A bag contains 150 jelly beans. Some of them are red and the rest are blue. The ratio of red to blue jelly beans is 2 : 3.

Sophie eats 10 of each colour.

What is the new ratio of red to blue jelly beans?

  1. \(2 : 3\)
  2. \(4 : 9\)
  3. \(5 : 8\)
  4. \(11 : 17\)
Show Answers Only

\(C\)

Show Worked Solution

\(\text{Original ratio}\ = 2:3\)

\(\text{5 parts = 150}\ \Rightarrow\ \text{1 part}\ = 150/5=30\)

\(\text{Original ratio (by number)}\ = 2 \times 30:3 \times 30 = 60:90\)

\(\text{After eating 10 of each colour:}\)

\(\text{Ratio}\ = 50:80 = 5:8\)

\(\Rightarrow C\)

♦♦ Mean mark 34%.

Filed Under: M5 Scale Drawings (Y12) Tagged With: Band 5, smc-1105-40-Ratio (2 part), std2-std1-common

Measurement, STD2 M7 SM-Bank 6

In a raffle, the total prize money is shared among the first two tickets drawn in the ratio  6 : 4.

The prize for the second ticket drawn is $360.

What is the total prize money?  (2 marks)

Show Answers Only

`$900`

Show Worked Solution

`4/10 xx text(Total prize money = $360)`

`=> 1/10 xx text(Total prize money = $90)`

`:.\ text(Total prize money)` `= 90 xx 10`
  `= $900`

Filed Under: M5 Scale Drawings (Y12), Ratio and Scale (Std2) Tagged With: Band 4, smc-1105-40-Ratio (2 part), smc-1187-10-Ratio (2 part)

Measurement, STD2 M7 SM-Bank 3 MC

There are 8 male chimpanzees in a community of 24 chimpanzees.

What is the ratio of males to females in the community?

  1.  1 : 3
  2.  1 : 2
  3.  3 : 1
  4.  2 : 1
Show Answers Only

`=>\ text(B)`

Show Worked Solution
`text(Males)` `:\ text(Females)`
`8` `: (24 – 8)`
`8` `: 16`
`1` `: 2`

 
`=>\ text(B)`

Filed Under: M5 Scale Drawings (Y12), Ratio and Scale (Std2) Tagged With: Band 3, smc-1105-40-Ratio (2 part), smc-1187-10-Ratio (2 part)

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