Past Paper Example 1
IGCSE Jan 2023 1F Q25
6 marks
(a) Factorise y² − 2y − 48 (2) (b) Write down the inequality shown on the number line (1) (c) Solve 7w + 6 > 12w + 14 (3)
(a) Factorise y2 - 2y - 48 [2 marks]
(b) Write down the inequality shown on the number line [1 mark]
(c) Solve the inequality 7w + 6 > 12w + 14 [3 marks]
Worked Solution & Mark Scheme (6 marks)
Part (a) Solution:
Numbers multiplying to −48 and adding to −2 are +6 and −8 M1
⇒ (y + 6)(y − 8) A1
⇒ (y + 6)(y − 8) A1
Answer (a): (y + 6)(y - 8)
Part (b) Solution:
Filled circle at 3 pointing left ⇒ x ≤ 3 B1
Answer (b): x ≤ 3
Part (c) Solution:
6 − 14 > 12w − 7w M1
⇒ −8 > 5w M1
⇒ w < −8/5 A1
⇒ −8 > 5w M1
⇒ w < −8/5 A1
Answer (c): w < -85