cameroon gce advanced level 2025 business mathematics 3
cameroon gce advanced level 2025 business mathematics 3
- The data below shows the evolution of production in NEBOLEM manufacturing firm
Year 2001 2002 2003 2004 2005 2006
Production (in tons) 165 178 184 192 220 235
a) Determine the equation of the regression line using the least square method
(8 marks)
b) Calculate the Pearson’s Product Moment Correlation Coefficient
(3 marks)
c) Compute the equation of the regression line using the Mayer Method and forecast
the production for 2010
(9 marks)
(Total = 20 marks)
- The table below shows the prices and quantities of some basic commodities in Bamenda Food market in
2021 and 2022
Commodities 2021 2022
Prices (Fcfa)/kg Quantities (in kg) Prices (Fcfa)/kg Quantities (in kg)
Rice 1500 240
Salt 800 200
Milk 1200 160
The unit price and quantities sold of Rice and Milk increased by 5 % in 2022 while the unit price and
quantities sold of salt dropped by 2%. Taking 2021 as the base year, calculate:
a) The simple price and quantity indices for each commodity
(6 marks)
b) The simple aggregate price and quantity indices
(4 marks)
c) The Laspeyres and Paasche’s Price and quantity indices
(10 marks)
(Total = 20 marks)
- a) A bowl contains Blue and Red balls. There are 40 balls in the bowl of which 25 % of the balls are red and
the rest are blue. Two balls are drawn at random, one after the other without replacement.
i. Draw a tree diagram to show all possible outcomes and probabilities
(3 marks)
ii. Calculate the probability of obtaining in the two draws:
- Balls of the same Colours
(4 marks)
- Balls of different colours
(4 marks)
- No blue ball
(3 marks)
b) Two independent events A and B are such that P(A)=1/4 and P(A U B) = 2/3. Find
i. P(B)
(2 marks)
ii. P(A n B)
(2 marks)
iii. P(A/B)
(2 marks)
(Total = 20 marks)
- a) Define the following terms used in Network planning and analysis.
i. Activity
ii. Event
iii. Network
iv. Critical path
(1.5 x 4= 6 marks)
b) You are alone at home and have to prepare pancake for yourself. The preparation activities and time taken
are given below:
Activities Preceding activities
ACD
B B
C A
D F
E CDE
F
Given that the time allocated for each activity in minutes are A = 5, B=10, C=3, D=1, E=1 and F=4
a) Draw the network and include the timing
(12 marks)
b) Determine the critical path
(2 marks)
(Total = 20 marks)
