◈ Oracle PrepSign Up Free
O-LevelAdditional MathematicsLogarithmic and exponential functions4037/12 · Oct/Nov 2017 · Q57 Marks

When lgy is plotted against x, a straight line is obtained which passes through the points (0.6, 0.3) and (1.1, 0.2).

  1. (i)Find lgy in terms of x.[4]
  2. (ii)Find y in terms of x, giving your answer in the form y = A(10ᵇˣ), where A and b are constants.[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
Logarithmic and exponential functions, O-Level Additional Mathematics (syllabus 4037). Structured question, 7 marks.
Source
O-Level Additional Mathematics, Oct/Nov 2017 Paper 1 Variant 2, question 5.

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

Logarithmic and exponential functionsMay/June 20126m

Solve the equation 3²ˣ = 1000, giving your answer to 2 decimal places.

Logarithmic and exponential functionsMay/June 20131m

Given that log₄x = 1/2, find the value of x.

Logarithmic and exponential functionsMay/June 20131m

Solve 2log₄y - log₄(5y – 12) = 1/2. Which of the following is the smaller value of y?

Quadratic functionsMay/June 20115m

Find the set of values of k for which the line y = 2x – 5 cuts the curve y = x² + kx + 11 at two distinct points.

Factors of polynomialsMay/June 20116m

The expression x³ + 8x² + px – 25 leaves a remainder of R when divided by x – 1 and a remainder of –R when divided by…

Permutations and combinationsMay/June 20117m

A shelf contains 8 different travel books, of which 5 are about Europe and 3 are about other regions.

← Browse all past-paper questions

© 2026 Oracle Prep