intermediate level 2026 South West mock mathematics 2

Examination Questions Extraction: Section A & Continued

The following mathematics questions have been extracted from the two provided images:

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SECTION A

1. Simplify the fraction $2\frac{1}{4} + \frac{1}{3} \text{ of } \frac{4}{5} \div \frac{1}{5}$ (5 marks)

2. Simplify the following surd $\frac{2 – 2\sqrt{3}}{2 + \sqrt{3}}$ and write your answer in the form $a + \sqrt{b}$ (5 marks)

3. A dancing floor has dimensions $20\text{ m}$ by $30\text{ m}$

• a) Calculate the area of the floor (2 marks)

• If the dimension of a tile is $20\text{ cm}$ by $30\text{ cm}$.

• b) Calculate how many tiles that will be put to cover the whole floor (5 marks)

4. Evaluate and express $\frac{2.55 \times 10^{-3}}{5 \times 10^{-2}}$ in:

• a) Standard form (3 marks)

• b) Two decimal places (2 marks)

5. Two vectors are defined as $\underline{a} = 3i – 2j$ and $\underline{b} = 4i – j$. Calculate:

• a) The magnitude of $\underline{b}$ (3 marks)

• b) $2\underline{a} – \underline{b}$ (4 marks)

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CONTINUED QUESTIONS (Image 2)

11. The diagram above represents four towns A, B, C, and D

• a) State the coordinates of Towns A and D (2 marks)

• b) Calculate the distance between town B and C (3 marks)

• c) If $\vec{BA} = \underline{b}$ and $\vec{AC} = \underline{a}$. Calculate $\vec{BC}$ in terms of $\underline{a}$ and $\underline{b}$ (2 marks)

12. School fees in a particular Government Technical High School is 34,500 FCFA consisting of fees, PTA levy and other items respectively in the ratio 2 : 3 : 1

• Calculate the amount that will be paid for fees, PTA levy and other items (6 marks)

13. Two Plumbers each have 14,000 FCFA to spend for working materials. The first Plumber uses all his money to buy 5 pipes and 2 tins of gum while the second one buys 3 pipes and 1 tin of gum and still has change of 5,900 FCFA.

• a) Write two equations to represent this information (3 marks)

• b) Calculate the price of one pipe and a tin of gum (5 marks)