O/L Maths 2024 Paper

Extra workers needed to finish a job sooner

Answer: 10 more men

💡 What it's asking: Measure the job in man-days (one person working for one day). Then share those man-days over fewer days.

1. 1Total work: 6 × 8 = 48 man-days.
2. 2In 3 days you need 48 ÷ 3 = 16 men.
3. 36 men are already there, so 16 − 6 = 10 more.

✅ 16 men × 3 days = 48 man-days, the same as before.

Angle in a triangle using parallel lines and crossing lines

Answer: BAE = 30°

💡 What it's asking: Move the 40° up to B using parallel lines, then use the outside angle of triangle ABE.

1. 1AB and CD are parallel, so the Z-shaped angles at B and C are equal: ABE = 40°.
2. 2The 70° at E is outside triangle ABE.
3. 3Outside angle = the two far inside angles added: 70° = BAE + 40°.
4. 4BAE = 30°.

✅ Triangle ABE: 30° + 40° + 110° = 180°.

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