◈ Oracle PrepSign Up Free
O-LevelAdditional MathematicsStraight line graphs4037/11 · May/June 2012 · Q78 Marks

The table shows values of variables x and y. ``` x | 1 | 3 | 6 | 10 | 14 y | 2.5 | 4.5 | 0 | -20 | -56 ```

  1. (i)By plotting a suitable straight line graph, show that y and x are related by the equation y = Ax + Bx², where A and B are constants.[4]
  2. (ii)Use your graph to find the value of A and of B.[4]

This question uses a diagram from the original paper, which isn't shown here. Open the full paper from the past papers archive to see it.

Mark scheme

Marking points from the official mark scheme (May/June 2012). The mark or mark type is shown in brackets.

  1. [B1] (i) for forming y/x = A + Bx (or Y = A + Bx)
  2. [M1] (i) for calculating values for y/x (2.5, 1.5, 0, -2, -4)
  3. [A2,1,0] (i) for plotting points correctly (-1 each error, for at least 3 correct points)
  4. [M1] (ii) for finding gradient and equating to B (B = -0.5)
  5. [A1] (ii) B = -0.5
  6. [M1] (ii) for finding intercept and equating to A (A = 3)
  7. [A1] (ii) A = 3

Write your answer and get it marked

On Oracle Prep you can write or photograph your own answer and have it marked by AI against this mark scheme, with feedback on what you missed.

Sign up free →

About this question

Topic
Straight line graphs, O-Level Additional Mathematics (syllabus 4037). Structured question, 8 marks.
Source
O-Level Additional Mathematics, May/June 2012 Paper 1 Variant 1, question 7.

Questions and mark schemes are from past examination papers and remain the copyright of the exam board. How Oracle Prep builds its content

Related Additional Mathematics questions

Straight line graphsMay/June 20199m

When eʸ is plotted against 1/x, a straight line graph passing through the points (2, 20) and (4, 8) is obtained.

Straight line graphsMay/June 20198m

Solutions to this question by accurate drawing will not be accepted. The points A and B have coordinates (p, 3) and (…

Straight line graphsMay/June 20208m

The line y = 5x+6 meets the curve xy = 8 at the points A and B.

Factors of polynomialsMay/June 20105m

The expression 6x³ + ax² − (a + 1)x + b has a remainder of 15 when divided by x + 2 and a remainder of 24 when divide…

Vectors in two dimensionsMay/June 20105m

Given that OA = ( -17 / 25 ) and OB = ( 4 / 5 ) find

Equations, inequalities and graphsMay/June 20107m

Given that A = ( 4 3 / 1 2 ) and B = ( -2 0 / 1 4 ), find

← Browse all past-paper questions

© 2026 Oracle Prep