Skip to main content
O-LevelMathematicsGeometry4024/12 · Oct/Nov 2022 · Q73 Marks

In the diagram, AD, AB and BC are three sides of a regular pentagon and DC is a diagonal of the pentagon. AB is parallel to DC. [Figure with pentagon ABCD and angles x°, y°] NOT TO SCALE

  1. (a)Find the value of x.[2]
  2. (b)Find the value of y.[1]

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 2022). The mark or mark type is shown in brackets.

  1. [2] 108
  2. M1 for 180 - 360/5 oe or 180(5-2)/5 oe
  3. [1] 72
  4. FT 180- their 108, where their 108 < 180 and their 108 ≠ 90

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, 3 marks.
Source
O-Level Mathematics, Oct/Nov 2022 Paper 1 Variant 2, question 7.

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