◈ Oracle PrepSign Up Free
O-LevelAdditional MathematicsEquations, inequalities and graphs4037/12 · May/June 2010 · Q87 Marks

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

  1. (i)3A - 2B,[2]
  2. (ii)A⁻¹,[2]
  3. (iii)the matrix X such that XB⁻¹ = A.[3]

Mark scheme

Marking points from the official mark scheme (May/June 2010). The mark or mark type is shown in brackets.

  1. B1 at least 2 correct
  2. B1 all correct
  3. B1 for determinant
  4. B1 for matrix
  5. M1 for attempt at valid method
  6. A2,1,0 -1 each error

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
Equations, inequalities and graphs, O-Level Additional Mathematics (syllabus 4037). Structured question, 7 marks.
Source
O-Level Additional Mathematics, May/June 2010 Paper 1 Variant 2, question 8.

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

Equations, inequalities and graphsMay/June 20254m

Solve the inequality |5x+2|≥3.

Equations, inequalities and graphsOct/Nov 20103m

Solve the equation |2x + 10| = 7.

Equations, inequalities and graphsOct/Nov 20113m

Solve the equation |4x - 5| = 21.

Differentiation and integrationMay/June 20176m

A particle P moves in a straight line, such that its displacement, x m, from a fixed point O, t s after passing O, is…

TrigonometryMay/June 20178m

Show that cosec θ / (cot θ + tan θ) = cos θ.

Logarithmic and exponential functionsMay/June 20179m

It is given that y = A(10^bx), where A and b are constants. The straight line graph obtained when lgy is plotted agai…

← Browse all past-paper questions

© 2026 Oracle Prep