Home › P6 Prelim Papers › Henry Park 2025 › Q14

Henry Park 2025 P6 Maths Prelim — Paper 1 Booklet A Q14 Solution

Paper 1 Booklet A · Q14 · 2 marks · Angles

Question

ABC and CDE are right-angled triangles and GHFC is a square. ∠DCG = 41° and ∠BCF = 27°. Find ∠ACE.
Answer: 1

Worked solution

  1. \text{GHFC is a square, so } \angle GCF = 90^{\circ}
  2. \angle BCF = 27^{\circ},\ \angle DCG = 41^{\circ}
  3. \angle BCD = 90^{\circ} - 27^{\circ} - 41^{\circ} = 22^{\circ}
  4. \text{Since ABC and CDE are right-angled at C: } \angle ACE = 22^{\circ}

Practise the whole paper

This is one question from the Henry Park 2025 P6 prelim. Practise the full paper online — every question marked instantly, with worked solutions.

See the Henry Park 2025 paper →

More like this: P6 Angles questions · all P6 prelim papers · free sample.