Selangor Trial 2025 Mathematics Kertas 1

Mathematics

Selangor Trial 2025 Mathematics Kertas 1

• Selangor Trial
• 40 questions
• With explanations

1

Which of the following is true?

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A $\sqrt[3]{216} < \sqrt{81}$ B $\sqrt{144} < \sqrt[3]{216}$ C $\sqrt{144} < \sqrt[3]{343}$ D $\sqrt[3]{343} < \sqrt{81}$

2

Ali has a Rubik's cube as shown in Diagram 1. The volume of the Rubik's cube is 512 cm³. Calculate the total surface area, in cm², of the Rubik's cube.

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A 96 B 192 C 320 D 384

3

Express 0.0000197 in standard form.

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A $1.97 \times 10^{-5}$ B $1.97 \times 10^{-4}$ C $1.97 \times 10^{4}$ D $1.97 \times 10^{5}$

4

Express $5(5^3 + 2 + 5^2)$ in base five.

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A $11200_5$ B $11020_5$ C $10120_5$ D $10102_5$

T4 Chapter 2.1a Number Bases: Place Value and Digit Value

5

A wire with a length of $120_9$ cm is formed into a triangle PQR. Given the lengths of the sides $PQ = 34_9$ cm and $QR = 52_9$ cm. Calculate the length of side PR in base nine.

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A $10_9$ B $11_9$ C $23_9$ D $33_9$

T4 Chapter 2.1d Addition and Subtraction of Numbers in Various Bases

6

Simplify: $$\frac{4x^2}{y - 1} \times \frac{y^2 - 1}{24xy}$$

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A $\dfrac{x(y + 1)}{6y}$ B $\dfrac{x(y - 1)}{6y}$ C $\dfrac{x^2(y + 1)}{12xy}$ D $\dfrac{x^2(y - 1)}{12xy}$

7

Table 1 shows the summary of Puan Zaiton's financial plan. | | | |---|---| | Active income | RM3 400 | | Passive income | RM700 | | Fixed monthly saving | RM200 | | Fixed expenses | …… | | Variable expenses | RM1 000 | Puan Zaiton wants to buy a new sofa for her home. She plans to save RM7 200 in one year. Calculate the maximum amount of fixed expenses for Puan Zaiton if she wants to achieve the goal.

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A RM600 B RM800 C RM2 300 D RM2 900

T4 Chapter 10.1b Evaluating Financial Status and Creating a Financial Plan

8

Table 2 shows the types of insurance and what they cover. | | Type of insurance | Coverage | |:---:|---|---| | I | Life insurance | Covers loss or damage to a motor vehicle for a lifetime. | | II | Fire insurance | Provides coverage against damage caused by fire, lightning and explosion. | | III | Personal accident insurance | Covers the policyholder against an accident that causes injury or even death. | | IV | Medical and health insurance | Protects the policyholder from certain risks when travelling. | Which of the following is the correct match?

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A I and II B II and III C I, II and III D I, II, III and IV

T5 Chapter 3.1a Risk, Insurance, Life Insurance and General Insurance

9

Diagram 2 shows a right-angled triangle. Given the length of PR is 15 cm. Which of the following quadratic equations represents the relationship between the sides of triangle PQR?

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A $2x^2 - 10x + 8 = 0$ B $2x^2 - 10x - 227 = 0$ C $5x^2 - 34x + 65 = 0$ D $5x^2 - 34x - 160 = 0$

T4 Chapter 1.1f Forming a Quadratic Function or Equation Based on a Situation

10

Which of the following has a value of 16?

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A $2^0 \times 2^8$ B $2^0 \times 2^4$ C $2^5 \div 2^2$ D $2^3 \div 2^1$

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