Ordinary level 2025 North regional mock mathematics 2
Ordinary level 2025 North regional mock mathematics 2
Okay, here’s the data extracted from Section B of the image:
Instructions: ANSWER ALL THE FOUR QUESTIONS IN THIS SECTION. EACH QUESTION CARRIES 15 MARKS
Question 1:
(a) Consider the quadratic function (f(x) = -2x^2 + 8x + 2), with an incomplete table of values for (f(x)) given below:
(i) Copy and complete the table above.
(ii) Taking 2cm to represent 1 unit on the x-axis and 1cm to represent 1 unit on the y-axis, draw the graph of (y = f(x)).
(iii) From your graph, find: * the roots of the equation (f(x) = 0) * the maximum value of (f(x)) and the corresponding value of (x).
(iv) Using the same scale, draw the line (y = 3x – 1), then, from the graph,
(v) Estimate the solution of the quadratic equation (-2x^2 + 5x + 3 = 0)
(b) Solve the simultaneous equation (x – y = 6) (2x + 4y = 6)
Question 2:
(i) An Opera orchestra group in collaboration with the Cameroonian Ministry of Arts and Culture, organized a grand musical concert at the Roumde Adjia football stadium Garoua. The stadium has a total capacity of 60,000 seats divided into two main sections; the Common Section and the VIP Section. The VIP section is further divided into two sections; VIP 1 which is the Presidential Stand, and VIP 2. The VIP section takes (\frac{2}{5}) of the total number of seats and (\frac{1}{4}) of the seats in the VIP section are in the presidential stand.
Entry tickets into the stadium for this grand musical concert sold at 2000 FCFA for seats in the Common Section, 5,000FCFA in VIP 2 and 10,000FCFA in VIP 1 Section.
On the concert day, (\frac{2}{3}) of the seats in the Common Section were occupied, all the seats in the presidential stand (VIP 1) were occupied and (\frac{1}{2}) of the VIP 2 seats were occupied.
(a) Find the number of seats in the: (i) Common Section (ii) Presidential Stand (VIP 1) (iii) VIP 2 Section
(b) Find the number of spectators who attended the concert and sat in the: (i) Common Section (ii) Presidential Stand (iii) VIP 2 Section
(c) How much was made from the sales of the tickets into this grand musical concert?
