Past Paper Example 1
IGCSE Jun 2023 2H Q16
5 marks
Q is directly proportional to √(t)
The graph shows the relationship between Q and t for 0 < t < 8
The graph shows the relationship between Q and t for 0 < t < 8
(a) Find a formula for Q in terms of t [3 marks]
(b) Find the percentage increase in t [2 marks]
Worked Solution & Mark Scheme (5 marks)
Part (a) Solution:
Q = k√t M2
Using (4, 6): 6 = k√4 => k = 3 => Q = 3√t A1
Using (4, 6): 6 = k√4 => k = 3 => Q = 3√t A1
Answer (a): Q = Q = 3√(t)
Part (b) Solution:
Since t ∝ Q², multiplier for t is 1.2² = 1.44 => 44% increase M1 A1
Answer (b): 44 %