Kuala Lumpur Trial 2025 Mathematics Kertas 1

Mathematics

Kuala Lumpur Trial 2025 Mathematics Kertas 1

• Kuala Lumpur 州试卷
• 40 题
• 附解析

1

Which of the following is true?

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A $\sqrt{\frac{49}{81}} < \sqrt[3]{\frac{27}{125}}$ B $\sqrt{\frac{49}{81}} > \sqrt[3]{\frac{512}{729}}$ C $\sqrt{2\frac{7}{9}} < \sqrt[3]{1\frac{61}{64}}$ D $\sqrt{1\frac{32}{49}} > \sqrt[3]{1\frac{61}{64}}$

2

Alfred has one Rubik's cube as shown in Diagram 1. The total surface area of the Rubik's cube is 294 cm². Calculate the perimeter, in cm, of the Rubik's cube.

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A 42 B 56 C 70 D 84

T4 Chapter 1.1k Solving Problems Involving Quadratic Equations

3

State $1.097 \times 10^{-3}$ as a single number.

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A 0.1097 B 0.01097 C 0.001097 D 0.0001097

4

Express $7(7^4 + 2 + 7^2)$ in base seven.

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A $101020_7$ B $101200_7$ C $102010_7$ D $110020_7$

T4 Chapter 2.1c Converting Numbers from One Base to Another

5

The length of a side of a square is $34_5$ cm. Calculate the perimeter of the square in base 5.

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A $131_5$ B $132_5$ C $241_5$ D $301_5$

T4 Chapter 2.1e Solving Problems Involving Number Bases

6

Simplify: $$\frac{10k}{5kp - 15p} \div \frac{4kp + k^2}{3kp - 9p}$$

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A $\dfrac{4p + k}{6}$ B $\dfrac{6}{4p + k}$ C $\dfrac{10k^2(4p + k)}{15p^2(k - 3)^2}$ D $\dfrac{15p^2(k - 3)^2}{10k^2(4p + k)}$

7

Table 1 shows Encik Rizal's income and expenses in March. | | | |---|---| | Total income | RM3 850 | | Fixed expenses | $x$ | | Variable expenses | RM1 250 | Encik Rizal has a positive cash flow of RM480 in March. Calculate the value of $x$.

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A RM2 120 B RM2 600 C RM3 000 D RM3 080

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

8

Table 2 shows part of the premiums for travel insurance offered by Syarikat Insurans X to Asian and European countries. | Number of days | Asia: Adult (RM) | Asia: Senior citizen (RM) | Europe: Adult (RM) | Europe: Senior citizen (RM) | |:---:|:---:|:---:|:---:|:---:| | 1 – 5 | 45 | 82 | 55 | 90 | | 6 – 10 | 55 | 100 | 70 | 110 | | 11 – 15 | 73 | 110 | 102 | 150 | | Annual premium | 230 | – | 310 | – | Based on Table 2, which of the following factors influences the difference in the premiums for the travel insurance offered?

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A Height B Gender C Destination D Flight duration

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

9

Diagram 2 shows a trapezium with an area of 40 cm². Which of the following quadratic equations best represents the situation?

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A $5x^2 + 6x + 40 = 0$ B $5x^2 + 6x - 40 = 0$ C $10x^2 + 12x + 40 = 0$ D $10x^2 + 12x - 40 = 0$

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

10

$$\left(4^2 \times 5^{\frac{1}{2}}\right)^4 =$$

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A $4^2 \times 5^2$ B $4^6 \times 5^4$ C $4^8 \times 5^2$ D $4^8 \times 5^8$

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