Ordinary level 2026 technical North West regional mock mathematics 2
Ordinary level 2026 technical North West regional mock mathematics 2
Here is the extracted text from the third image, organized by question number:
SECTION A
FOR ALL CANDIDATES ANSWER ALL THE QUESTIONS IN THIS SECTION
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a) Express each of 30 and 36 as a product of its prime factors. (2 marks)
b) Find the HCF of 30 and 36. (2 marks)
c) Find the LCM of 30 and 36. (2 marks)
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Express as a single fraction: $2\frac{1}{2} + 3\frac{1}{4} \div 2\frac{1}{6} – 1\frac{1}{6}$ (4 marks)
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By rationalizing the denominator, express $A = \frac{3 – \sqrt{2}}{1 + \sqrt{2}}$ into the form $a + b\sqrt{2}$ where $a$ and $b$ are constants. (4 marks)
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Two numerical functions $f$ and $g$ of real variable $x$ is defined such that $f: x \mapsto 4x – 5$ and $f \circ g(x) = 6x – 3$. Determine $g(x)$. (2 marks)
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Simplify and express the result in standard form: $\frac{0.032 \times 0.042}{0.32}$ (4 marks)
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a) After some months of dieting and exercise, a sports man’s weight dropped from 80 kg to 71 kg. Calculate the percentage decrease in his weight. (3 marks)
b) Find the area of a circular garden with a diameter of 10 meters. (Leave answer in terms of $\pi$). (2 marks)
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a) On a survey map, with scale 1:20,000, the distance between two markets in a town is 14 cm. Calculate the actual distance between the markets in km. (4 marks)
b) The following figure consists of two rectangles: ABCD and PQRS. AB = 19 cm, AD = 9 cm, PQ = 7 cm and PS = 3 cm.
(Image shows a large rectangle ABCD with a smaller rectangle PQRS centered inside, with the area between them shaded.)
Calculate the area of the shaded portion. (4 marks)
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a) Given that $\tan \theta = \frac{3}{2}$, for $0 < \theta < 90^\circ$, find the exact values of $\sin \theta$ and $\cos \theta$. (4 marks)
b) The following figure is a circle with center O. $\angle DAC = 55^\circ$, $\angle DBC = x^\circ$ and $\angle DOC = 4y^\circ$.
Would you like me to continue extracting the text for the diagram in question 8(b), or should I help you calculate the area of the shaded portion from question 7?
