Ordinary level 2026 north west regional mock mathematics 2

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1. a) Write 0.000437 in standard form

   b) Evaluate: $3.2 \times 10^3 + 4.5 \times 10^2$ (4 marks)

2. a) Simplify $\frac{1.8}{4.5}$

   b) Express 45 as a percentage of 120 (5 marks)

3. a) Expand and simplify $(x – 3)(x + 5)$

   b) Factorize completely: $6y^2 – 9y$

   c) Solve: $4(2x – 3) = 5x + 6$ (4 marks)

4. a) A recipe uses flour and sugar in the ratio 3:2. If 480g of flour is used, how much sugar is needed

   b) In a triangle, the angles are in the ratio 2:3:4, find the angles (4 marks)

5. Given the scores: 3, 9, 7, 4, 7, 6, 7, 6, 7

   a) Find the mode.

   b) Find the median. (4 marks)

6. A fence has length 18m and width 12m

   a) Find the perimeter

   b) Find the area of the fence (4 marks)

7. Given the function $f: x \mapsto 3x – 4$

   a) Find $f(2)$

   b) Determine $f^{-1}(x)$ (4 marks)

8. Two students received 500 FCFA to share, one has 50 FCFA more than the other. How much did each of them have? (4 marks)

9. Given the vectors $\vec{r} = 3i – j$ and $\vec{s} = 2i + j$

   Find a) $\vec{r} + 2\vec{s}$

   b) $|2\vec{r} – \vec{s}|$ (5 marks)

10. a) Express 126 and 84 as products of their prime factors.

    b) Hence, find the Highest Common Factor (HCF) of 126 and 84. (5 marks)

Section B

Answer all the questions in this section. Each question carries 15 marks

1. (i) a) Given two lines $y = 2x + 1$ and $3x – y = 5$, find the intersection point of the two lines

   b) Find the distance of the point A (-3,4) from B (1,7)

   c) Find the midpoint between L (5,6) and N (1,2)

   (ii) Given a quadratic function $y = x^2 – 4x + 3$ and linear function $y = x – 1$ (6 marks)

   a) Complete the table for $y = x^2 – 4x + 3 = 0$

x	-1	0	1	2	3	4
y	8			-1

b) Draw the graph of the quadratic and the linear function on the same axes (1cm on both axes)

c) Mark roots and the y-intercepts of the curve and the line.

d) Using the graph, state the values of $x$ for which $x^2 – 4x + 3 = x – 1$. (9 marks)

2. i) The table shows the scores obtained by form five students in a math test calculated on 10

x	0	1	2	3	4	5	6	7	8	9	10
f	2	3	4	7	9	10	9	6	5	4	1

a) State the mode of this distribution

b) Find the number of students in the class

c) Find the median

d) Calculate the mean

e) Determine the probability that a student selected scored above 7 (10 marks)

ii) Using a pencil, a ruler and a pair of compasses;

a) Draw a circle with radius 4 cm

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