Perak Trial 2025 Mathematics Kertas 1

Mathematics

Perak Trial 2025 Mathematics Kertas 1

• Perak Trial
• 40 questions
• With explanations

1

Simplify. $$-12c^9 \div 3c^2 \div 2c^5$$

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A $7c^{16}$ B $2c^2$ C $-7c^{16}$ D $-2c^2$

2

Determine the coordinates of the midpoint of the pair of points $R(6, 10)$ and $S(-12, 8)$.

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A $(9, 1)$ B $(3, -9)$ C $(-9, 1)$ D $(-3, 9)$

3

Diagram 1 shows a graph of a quadratic function. Determine the equation of the axis of symmetry of the graph of the quadratic function.

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A $x = 5$ B $x = 7$ C $x = 10$ D $x = 14$

T4 Chapter 1.1d Axis of Symmetry of a Quadratic Function

4

Diagram 2 shows four number cards arranged in ascending order. | 2674 | 5103 | Q | 8010 | |:---:|:---:|:---:|:---:| Which of the following represents Q?

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A $7.49 \times 10^{-4}$ B $7.49 \times 10^{-3}$ C $7.49 \times 10^{3}$ D $7.49 \times 10^{4}$

5

It is given that set $A = \{2, 3, 5, 7\}$ and set $B = \{1, 2, 4, 5, 8\}$. List all the elements of set $A \cap B$.

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A {2, 5} B {3, 8} C {2, 3, 5} D {1, 4, 7, 8}

T4 Chapter 4.1a Intersection of Sets

6

Express $5^5 + 4$ as a number in base five.

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A $14_5$ B $41_5$ C $100004_5$ D $500004_5$

T4 Chapter 2.1c Converting Numbers from One Base to Another

7

Diagram 3 shows a triangle. Express $y$ in terms of $x$.

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A $y = \sqrt{6x - 3}$ B $y = \sqrt{6x + 3}$ C $y = \sqrt{2x^2 + 6x - 3}$ D $y = \sqrt{2x^2 + 6x - 5}$

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

8

Factorise $6fg - 2fh - 3eg + eh$.

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A $(2f + e)(3g - h)$ B $(2f - e)(3g + h)$ C $(2f + e)(3g + h)$ D $(2f - e)(3g - h)$

9

Which of the following regions satisfies the linear inequality $y \geq 3x + 6$?

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A B C D

T4 Chapter 6.2b Identifying the Region That Satisfies a System of Linear Inequalities

10

Diagram 4 shows a graph of a function. State the value of $x$ when $y = 25$.

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A 1 B 2 C 3 D 4

T4 Chapter 1.1i Solving Quadratic Equations by the Graphical Method

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