◈ Oracle PrepSign Up Free
O-LevelAdditional MathematicsQuadratic functions4037/11 · May/June 2016 · Q13 Marks

Find the value of k for which the curve y = 2x² – 3x + k

  1. (i)passes through the point (4, – 7),[1]
  2. (ii)meets the x-axis at one point only.[2]

Mark scheme

Marking points from the official mark scheme (May/June 2016). The mark or mark type is shown in brackets.

  1. [1] -27
  2. [1] 9-8k = 0
  3. [1] k = 9/8
  4. [1] dy/dx = 4x-3 (Alternative)
  5. [1] when dy/dx=0, x=3/4 (Alternative)
  6. [1] so k = 9/8 (Alternative)
  7. [1] y=2(x - 3/4)² - 9/8 + k (Alternative)
  8. [1] k = 9/8 (Alternative)

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
Quadratic functions, O-Level Additional Mathematics (syllabus 4037). Structured question, 3 marks.
Source
O-Level Additional Mathematics, May/June 2016 Paper 1 Variant 1, question 1.

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

Quadratic functionsMay/June 20145m

Find the set of values of k for which the line y = k(4x – 3) does not intersect the curve y = 4x² + 8x - 8.

Quadratic functionsMay/June 20143m

Find the set of values of x for which x(x + 2) <x.

Quadratic functionsMay/June 20145m

Express 2x² - x + 6 in the form p(x - q)² + r, where p, q and r are constants to be found.

Indices and surdsMay/June 20194m

Without using a calculator, express (√5-3)² / (√5+1) in the form p√5+q, where p and q are integers.

Differentiation and integrationMay/June 20195m

The variables x, y and u are such that y = tan u and x = u³ + 1.

Permutations and combinationsMay/June 20197m

Find the number of different ways the televisions can be arranged.

← Browse all past-paper questions

© 2026 Oracle Prep