Pan Lloyds Mathematics Mock Exam Answer May 2026
When you buy a new Pan Lloyds mock exam book from major bookstores like Commercial Press, Joint Publishing, or Swindon, the answer key is either:
Many Pan Lloyds mock exam answers include a grading table:
Reputable tutoring chains like Beacon, King’s Glory, or Modern Education often integrate Pan Lloyds mock exams into their courses and provide annotated answer keys with extra teacher commentary. This is the most expensive but most insightful option.
Let us look at a typical question from Pan Lloyds HKDSE Mathematics Compulsory Part Mock Exam (Set 3) and how the answer key elevates learning.
Question (Paper 1, Q12 – 5 marks):
Solve the equation ( 3^2x+1 - 28 \cdot 3^x + 9 = 0 ).
What a bad answer key shows:
( x = 1 ) or ( x = -2 ) (no work)
What the real Pan Lloyds answer key shows: pan lloyds mathematics mock exam answer
Notice the real answer key also includes a common mistake alert: “Students often forget the ‘+1’ exponent and incorrectly write ( 3^2x \times 3^1 ) as ( 9^x \times 3 ) – that is also correct but leads to a different substitution. Both methods are acceptable if consistent.”
That level of detail is why the Pan Lloyds Mathematics Mock Exam Answer is a learning tool, not just a checking tool.
Show all working clearly. Marks are awarded for correct working steps.
Question 13 (8 Marks) A shop sold 240 eggs in the morning. In the afternoon, the shop sold $\frac13$ of the remaining eggs and had 80 eggs left unsold. (a) How many eggs were sold in the afternoon? (b) How many eggs were there at first?
Solution: Let the number of eggs remaining after the morning be $R$. In the afternoon, the shop sold $\frac13$ of $R$. This means $\frac23$ of $R$ were left. We know 80 eggs were left.
(a) Find eggs sold in the afternoon: $\frac23$ of $R = 80$ $\frac13$ of $R = 40$ (Eggs sold in the afternoon) Answer (a): 40 eggs When you buy a new Pan Lloyds mock
(b) Find total eggs at first: Remaining eggs after morning ($R$) = $40 \times 3 = 120$ eggs. Total eggs at first = Eggs sold in morning + Remaining eggs after morning Total = $240 + 120 = 360$ eggs. Answer (b): 360 eggs
Question 14 (10 Marks) The diagram shows a triangle ABC with a base of 12 cm and a height of 8 cm. (a) Calculate the area of the triangle. (b) If the triangle is cut into two identical smaller triangles, what is the area of one small triangle?
Solution: (a) Area of Triangle ABC: Area = $\frac12 \times \textbase \times \textheight$ Area = $\frac12 \times 12 \text cm \times 8 \text cm$ Area = $48 \text cm^2$ Answer (a): $48 \text cm^2$
(b) Area of one small triangle: Since they are identical, the total area is divided by 2. Area = $48 \text cm^2 \div 2 = 24 \text cm^2$ Answer (b): $24 \text cm^2$
Question 15 (12 Marks) John has a monthly salary of $20,000.
Solution: (a) Food and Rent: $40% \text of $20,000 = 0.40 \times 20,000 = $8,000$ Answer (a): $8,000 Reputable tutoring chains like Beacon, King’s Glory, or
(b) Savings: Remainder after food/rent = $$20,000 - $8,000 = $12,000$ Savings = $25% \text of $12,000$ Savings = $0.25 \times 12,000 = $3,000$ Answer (b): $3,000
(c) Left for entertainment: Total - (Food/Rent + Savings) $20,000 - (8,000 + 3,000) = 20,000 - 11,000 = 9,000$ Answer (c): $9,000
Question 16 (10 Marks) A car traveled from Town A to Town B at a speed of 60 km/h for 2 hours. It then traveled another 40 km to reach Town C. (a) What was the distance between Town A and Town B? (b) What was the total distance traveled by the car?
Solution: (a) Distance A to B: Distance = Speed $\times$ Time Distance = $60 \text km/h \times 2 \text h = 120 \text km$ Answer (a): 120 km
(b) Total Distance: Total = Distance (A to B) + Distance (B to C) Total = $120 \text km + 40 \text km = 160 \text km$ Answer (b): 160 km
Many students make the critical error of completing a mock paper and quickly glancing at the final number. "Did I get 42? Yes? Next question." This is a waste of potential. The Pan Lloyds Mathematics Mock Exam Answer is not just a set of final numbers; it is a pedagogical tool. Here is what you actually find in a genuine Pan Lloyds answer key:
Use the answer key’s topic index (if available) to identify weak chapters. For example: