Pahang Trial 2025 Mathematics Kertas 1

Mathematics

Pahang Trial 2025 Mathematics Kertas 1

• Pahang Trial
• 40 questions
• With explanations

1

Calculate $$\frac{5+(-1)-(-8)}{7-10}$$

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A $-4$ B $-1$ C $3$ D $8$

2

Ali filled up his motorcycle with $\frac{3}{4}$ litres of fuel in the morning. In the evening, he used $\frac{5}{6}$ litres of fuel to deliver goods. Later, he refilled the tank with another $\frac{1}{2}$ litres of fuel. Calculate the latest amount of fuel in the tank of Ali's motorcycle.

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A $\frac{13}{12}$ B $\frac{10}{12}$ C $\frac{7}{12}$ D $\frac{5}{12}$

3

Diagram 1 shows a triangle RST. Given the ratio of $RT : ST : RS = 1 : 2 : \frac{1}{2}$. Calculate the perimeter, in cm, of triangle RST.

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A 104 B 112 C 224 D 256

4

Determine the Lowest Common Multiple (LCM) of 8 and 12.

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A 12 B 24 C 36 D 48

5

There are 15 cylindrical steel rods, each 14 cm in diameter and 1 m long, which have been melted to form 70 steel balls of the same size. Calculate the volume, in cm³, of each steel ball. [Use $\pi = \frac{22}{7}$]

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A $1.32 \times 10^{4}$ B $3.3 \times 10^{3}$ C $1.32 \times 10^{2}$ D $3.3 \times 10^{1}$

6

Encik Tajul's active income and passive income are RM4 500 and RM755 respectively. The estimated total expenditure is RM4 850. Calculate Encik Tajul's surplus income in base 6.

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A $1513_6$ B $1512_6$ C $1152_6$ D $1151_6$

T4 Chapter 2.1e Solving Problems Involving Number Bases T4 Chapter 10.1b Evaluating Financial Status and Creating a Financial Plan

7

Given $x_9 = 9^3 + (3 \times 9^2) + (2 \times 9^0)$. Find the value of $x$.

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A 123 B 132 C 1032 D 1302

T4 Chapter 2.1b Determining the Number Value of a Number in Various Bases

8

Which of the following is **not** a common factor for the terms $4k$ and $6kh$?

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A $1$ B $2$ C $2k$ D $4k$

9

Diagram 2 shows 3 balls of the same size. The total surface area of the 3 balls is 1039.5 cm². Calculate the radius, in cm, of a ball. [Use $\pi = \frac{22}{7}$]

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A 5.25 B 9.09 C 27.56 D 82.69

10

Diagram 3 shows right-angled triangles PQR and SRT. PSR is a straight line. Given that $\cos x = \frac{3}{4}$ and the ratio of the length of SR to PQ is $1 : 2$. Calculate the length of PS.

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A 12 B 20 C 28 D 32

T5 Chapter 6.1d Solving Problems Involving Sine, Cosine and Tangent

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