Question 1: [2 marks]
Which line below is the correct representation for a straight line with -intercept and gradient ?
Answer type: Multiple choice type 1
A: a
B: b
C: c
D: d
ANSWER: B: b
WORKING: is the line we are looking for, which is line b, since it has a gradient of and a -intercept of .
Question 2: [2 marks]
Which line below is the correct representation for the line ?
Answer type: Multiple choice type 1
A: a
B: b
C: c
D: d
ANSWER: A: a
Question 3:
A relationship between and is described as follows:
For every increase in , increases by of .
Question 3(a): [2 marks]
Find the values of a, b and c from the table.
Answer type: Multiple answers type 1
ANSWER: a = , b = , c =
For every increase in , increases by of .
So for every increase in , increases by lots of .
So the values increase by each time, since the values increase by each time.
Question 3(b): [2 marks]
Which line below is the correct representation for the straight line graph drawn using the coordinates from the table?
Answer type: Multiple choice type 1
A: a
B: b
C: c
D: d
ANSWER: D: d
WORKING:
Question 4(a): [1 mark]
Choose the correct representation for the following lines:
, , ,
Answer type: Multiple choice type 1
A:
B:
C:
D:
ANSWER:
B:
Question 4(b): [2 mark]
What is the area of the shape bounded by the four lines?
Answer type: Simple text answer
ANSWER:
WORKING:
Question 5: [2 marks]
Which line below is the correct representation for the line ?
Answer type: Multiple choice type 1
A: a
B: b
C: c
D: d
ANSWER: A: a
WORKING:
Question 6:
The -intercept of a line with gradient is .
Question 6(a): [1 mark]
Which line below is the correct representation for this line.
Answer type: Multiple choice type 1
A: a
B: b
C: c
D: d
ANSWER: C: c
Question 6(b):
What is the -intercept?
Answer type: Simple text answer
ANSWER:
Question 7:
Adam draws the line on the axes below, but he believes that he may have made an error.
Question 7(a): [1 mark]
Choose the correct statement.
Answer type: Multiple choice type 2
A: Adam hasn’t drawn the line accurately enough.
B: The -intercept of the line that Adam plotted is incorrect.
C: Adam has made no error and the line he plotted is correct.
D: The equation of the line was interpreted incorrectly as it was not arranged into the form
ANSWER: The equation of the line was interpreted incorrectly as it was not arranged into the form
Question 7(b): [1 mark]
What is the equation of the line that Adam should have plotted in the form ?
Answer type: Multiple choice type 2
A:
B:
C:
D:
ANSWER: B:
Question 8(a): [2 marks]
The graphs of and are plotted below.
Choose the two correct drawings.
Answer type: Multiple choice type 1
A: a and d
B: b and e
C: c and e
D: b and d
E: a and c
ANSWER: B: b and e
Question 8(b): [1 mark]
What is the point of intersection of the two correct lines?
Answer type: Multiple choice type 1
A:
B:
C:
D:
ANSWER: C: