Skip to main content
O-LevelMathematicsGeometry4024/11 · Oct/Nov 2014 · Q215 Marks

In the diagram the lines ABC and DEF are parallel. AB = AE and AÊD = 58°. Complete the statement below. EÂB = 58° because

  1. (a)(i)In the diagram the lines ABC and DEF are parallel. AB = AE and AÊD = 58°. Complete the statement below. EÂB = 58° because[1]
  2. (a)(ii)Calculate EBC.[2]
  3. (b)A pentagon has interior angles of 80°, 95° and 125°. Each of the remaining angles is equal to x°. Calculate the value of x.[2]

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 (Oct/Nov 2014). The mark or mark type is shown in brackets.

  1. [1] (a)(i) alternate (angles) ...
  2. [2] (a)(ii) 119°
  3. M1 for (180-58)/2
  4. or B1 for a base angle = 61°
  5. [2] (b) 120 WWW
  6. C1 for 240.
  7. M1 for 2x + 80 +95 + 125 = 540, oe

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
Geometry, O-Level Mathematics (syllabus 4024). Structured question, 5 marks.
Source
O-Level Mathematics, Oct/Nov 2014 Paper 1 Variant 1, question 21.

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

Related Mathematics questions

© 2026 Oracle Prep