◈ Oracle Prep Sign Up Free

O-LevelAdditional MathematicsIndices and surds4037/12 · Oct/Nov 2023 · Q94 Marks

Solve the equation 12x^(3/2) - 5x^(3/4) - 11 = 0 for x > 0. Give your answer correct to one decimal place.

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2023). The mark or mark type is shown in brackets.

[4] B1 For recognition of a 3-term quadratic equation in terms of x^(3/2) or a suitable substitution
[4] M1 for attempt to solve a 3-term quadratic equation in the form 12u²±11u±5 = 0 to obtain at least one solution in the form x^(3/2) = ... or 'u' = ...
[4] A1 for at least one correct solution.
[4] A1

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: Indices and surds, O-Level Additional Mathematics (syllabus 4037). Structured question, 4 marks.
Source: O-Level Additional Mathematics, Oct/Nov 2023 Paper 1 Variant 2, question 9.

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

Indices and surdsMay/June 20213m

Write (pqr)-23 / (p2r) q³ in the form paqor, where a, b and c are constants.

Indices and surdsMay/June 20223m

Find constants a, b and c such that √pq³r⁻³ / ((pq⁻¹)²)r⁻¹ = pᵃqᵇrᶜ.

Indices and surdsMay/June 20223m

DO NOT USE A CALCULATOR IN THIS QUESTION. A curve has equation y = 6+ √x / 3+√x where x ≥ 0. Find the exact value of …

Quadratic functionsMay/June 20213m

Write the expression x²-6x+1 in the form (x+a)² + b, where a and b are constants.

Logarithmic and exponential functionsMay/June 20214m

Variables x and y are such that, when lny is plotted against lnx, a straight line graph passing through the points (6…

Equations, inequalities and graphsMay/June 20216m

Solve the inequality |4x-1|> 9.

← Browse all past-paper questions