intermediate level 2026 South West mock mathematics 1

Examination Questions Extraction: Mathematics

The following multiple-choice questions have been extracted from the provided image:

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1. The value of $16 + 8 \div 2 \times 4$ is

• A. 48

• B. 32

• C. 3

• D. 80

2. A function is such that $f(x) = 2x + 9$, where $x \in \mathbb{R}$, then $f(-2)$ is

• A. $-5$

• B. 13

• C. $-13$

• D. 5

3. The remainder when $f(x) = x^3 + x^2 – x – 1$ is divided by $(x – 2)$ is

• A. 9

• B. 3

• C. $-9$

• D. $-3$

4. 0.0000617 expressed in standard form is

• A. $6.17 \times 10^4$

• B. $6.17 \times 10^{-5}$

• C. $6.17 \times 10^{-4}$

• D. $6.17 \times 10^5$

5. 0.004859 written to two significant figures is

• A. 0.49

• B. 49

• C. 0.0049

• D. 490

6. $7xy – 35xy^3$ when factorized is

• A. $7xy(1 – 5y^2)$

• B. $7xy(1 – 5y^3)$

• C. $7xy(1 + 5y^2)$

• D. $7xy(1 + 5y^3)$

7. Given that $(x + a)$ is a factor of a polynomial $f(x)$. If $f(-a) = 0$, then $-a$ is called

• A. The remainder

• B. A coefficient

• C. A root

• D. The degree

8. The roots of the equation $x^2 + 3x – 4 = 0$ are

• A. $S = \{4, 1\}$

• B. $S = \{-4, -1\}$

• C. $S = \{4, -1\}$

• D. $S = \{-4, 1\}$

9. The value of $x$ for which $9^{2x} = 27^{x+1}$ is

• A. 3

• B. 1

• C. $-3$

• D. $-1$

10. 870.951 expressed to the nearest thousand is

• A. 8709

• B. 870000

• C. 87095

• D. 871000

11. The general name for a four sided figure is called

• A. Heptagon

• B. Hexagon

• C. Quadrilateral

• D. Quatriples

12. The value of $8^{\frac{2}{3}}$ is

• A. 4

• B. 2

• C. 3

• D. 6

13. Given that $f: x \to \frac{x}{2} + 7$, where $x \in \mathbb{R}$, then

• A. $f^{-1} = 2x – 14$

• B. $f^{-1} = 2x + 14$

• C. $f^{-1} = -2x – 14$

• D. $f^{-1} = -2x + 14$

14. The distance between the points $A(0, -3)$ and $B(-2, 3)$ is

• A. $\sqrt{85}$

• B. $\sqrt{4}$

• C. $\sqrt{40}$

• D. $\sqrt{8}$

15. Given that $\vec{OP} = 3i + 3j$, the direction of $\vec{OP}$ is

• A. $30^\circ$

• B. $45^\circ$

• C. $90^\circ$

• D. $60^\circ$