Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Unit
Unit 2
105 practice questions
Topics covered
Practice questions
41–50 of 105
Question 41
2 marks · Easy
Answer and see the solution →Find the gradient of the straight line passing through the points $(1, 2)$ and $(5, 10)$.
Question 42
2 marks · Easy
Answer and see the solution →Here is a table showing a relationship between $x$ and $y$.
Values of $x$ and $y$ $x$ $y$ 0 3 1 5 2 7 (a)[1 mark]Describe the relationship between $x$ and $y$.
(b)[1 mark]Work out the next value of $y$ when $x = 3$.
Question 43
2 marks · Normal
Answer and see the solution →Calculate the gradient of the straight line passing through the points (4, -5) and (10, 7).
Question 44
3 marks · Normal
Answer and see the solution →Find the equation of a straight line with a gradient of $-3$ that passes through the point (2, 7). Write your answer in the form $y = mx + c$.
Question 45
4 marks · Normal
Answer and see the solution →The line $y = 2x - 4$ is shown below.
Graph of $y = 2x - 4$ (a)[1 mark]Write down the coordinates where the line crosses the y-axis.
(b)[1 mark]Find the gradient of this line.
(c)[1 mark]Find the x-coordinate where the line crosses the x-axis.
(d)[1 mark]Write down the equation of a line parallel to $y = 2x - 4$ that passes through (0, 3).
Question 46
3 marks · Normal
Answer and see the solution →A straight line passes through the points $A(3, 5)$ and $B(7, 13)$.
Find the equation of the line in the form $y = mx + c$.
Question 47
3 marks · Normal
Answer and see the solution →A taxi company charges a $4.50 fixed fee plus $1.20 for every kilometre travelled.
Complete the table below to show the total charge $C$ in dollars ($) for $k$ kilometres.
Taxi Fare Table k (km) C ($) 0 5 10 Question 48
4 marks · Normal
Answer and see the solution →The equations $y = 3x + 1$ and $y = -x + 17$ are plotted on the same set of axes.
(a)[3 marks]Find the coordinates of the point of intersection of the two lines.
(b)[1 mark]What is the gradient of the second line?
Question 49
3 marks · Normal
Answer and see the solution →Line $L$ passes through the points $P(-6, 8)$ and $Q(0, -4)$. Without finding its full equation, show that $L$ crosses the x-axis at $x = 2$.
Question 50
4 marks · Normal
Answer and see the solution →A fitness tracker records the number of steps and the calories burned for four days, as shown in the table below.
Steps and Calories Data Steps (thousands) Calories burned 5 190 7 266 9 342 11 418 (a)[1 mark]Plot a graph of calories burned against steps (thousands) for the four days.
(b)[1 mark]By drawing a straight line through the points, estimate the number of calories burned if 8,000 steps are recorded.
(c)[2 marks]Write down the equation of the line in the form $C = ms + c$, where $C$ is calories burned and $s$ is steps in thousands.