Kuala Lumpur Trial 2026 Mathematics Kertas 1 · MPSM

Mathematics

Kuala Lumpur Trial 2026 Mathematics Kertas 1 · MPSM

• Kuala Lumpur Trial MPSM
• 40 questions
• With explanations

1

Given $8^{2k-3} \times 8^4 = 8^3$, find the value of k.

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A $\frac{15}{8}$ B $\frac{15}{2}$ C 1 D 2

2

Express $3 \times 7^4 + 2 \times 7^2 + 6$ to a number in base seven.

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A $326_7$ B $3026_7$ C $3206_7$ D $30206_7$

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

3

Which of the following is **not** general insurance?

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A Motor insurance B Personal-accident insurance C Medical and health insurance D Life insurance

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

4

$1431_9 - 582_9 =$

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A $717_9$ B $738_9$ C $847_9$ D $878_9$

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

5

Diagram 1 shows the financial management process. Name the process of Y.

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A Terminating the financial plan B Completing financial plan C Reviewing and revising the progress D Preparing a new plan

T4 Chapter 10.1a The Financial Management Process and Setting SMART Financial Goals

6

Diagram 2 shows the first four terms of a number sequence. −2, 1, 4, 7, … State the pattern of the sequence using an algebraic expression.

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A $-2 + 3n$, n = 1, 2, 3, 4, … B $-2n + 3$, n = 1, 2, 3, 4, … C $3n - 5$, n = 1, 2, 3, 4, … D $3n + 5$, n = 1, 2, 3, 4, …

T4 Chapter 3.2e Forming a Strong Inductive Argument

7

40 metal cubes are melted to form 20 identical metal spheres. It is given that the length of a cube is 80 cm. Find the volume, in cm³, of one metal sphere.

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A $1.024 \times 10^{-6}$ B $1.6 \times 10^{-2}$ C $1.6 \times 10^{2}$ D $1.024 \times 10^{6}$

8

Determine the number of equilateral triangle that is needed to form a regular hexagon.

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A 3 B 4 C 5 D 6

T5 Chapter 5.4 The Meaning of Tessellation

9

Express $\frac{2}{m-3n} - \frac{m+3n}{m^2-9n^2}$ as a single fraction in its simplest form.

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A $\frac{1}{m-3n}$ B $\frac{1}{m+3n}$ C $\frac{m+15n}{m^2+9n^2}$ D $\frac{m-15n}{m^2-9n^2}$

10

Expand: $$-5y(x - y)$$

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A $-5xy - y^2$ B $-5xy + y^2$ C $-5xy - 5y^2$ D $-5xy + 5y^2$

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