Mathematics Standard 2 - Sample Short Answer Quiz

1. Question

1 point(s)

The graph of the line y = 4 − x is shown.

By graphing y = 2x + 1 on the grid provided, find the point of intersection of y = 4 − x and y = 2x + 1. (3 marks)

This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.

2. Question

1 point(s)

Two friends, Sequoia and Raven, sold organic chapsticks at the the local market.

Sequoia sold her chapsticks for $4 and Raven sold hers for $3 each. In the first hour, their total combined sales were $20.

If Sequoia sold x chapsticks and Raven sold y chapsticks, then the following equation can be formed:

4 x + 3y = 20

In the first hour, the friends sold a total of 6 chapsticks between them.

Find the number of chapsticks each of the friends sold during this time by forming a second equation and solving the simultaneous equations graphically. (5 marks)

This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.

3. Question

1 point(s)

Temperature can be measured in degrees Celsius (C) or degrees Fahrenheit (F).

The two temperature scales are related by the equation F = 9C/5 + 32.

(i) Calculate the temperature in degrees Fahrenheit when it is −20 degrees Celsius. (1 mark)

(ii) The following two graphs are drawn on the axes below:

F = 9C/5 + 32 and F = C

Explain what happens at the point where the two graphs intersect. (1 mark)

This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.

4. Question

1 point(s)

Penny is a baker and makes meat pies every day.

The cost of making p pies, $C, can be calculated using the equation

C = 675 + 3.5p

Penny sells the pies for $5.75 each, and her income is calculated using the equation

I = 5.75p

(i) On the graph, draw the graphs of C and I. (2 marks)

(ii) On the graph, label the breakeven point and the loss zone. (2 marks)

This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.

5. Question

1 point(s)

Ashley makes picture frames as part of her business. To calculate the cost, C, in dollars, of making x frames, she uses the equation

C = 40 + 10x

She sells the frames for $20 each and determines her income, I, in dollars, using the equation

I = 20x

Use the graph to solve the two equations simultaneously for x and explain the significance of this solution for Ashley’s business. (2 marks)

This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.

Pos.	Name	Entered on	Points	Result
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Mathematics Standard 2 HSC4Me

Mathematics Standard 2 – Sample Short Answer Quiz