Others Trial 2025 Mathematics Kertas 1 · MRSM

Mathematics

Others Trial 2025 Mathematics Kertas 1 · MRSM

• Trial MRSM
• 40 questions
• With explanations

1

Calculate the sum of the prime factors of 60.

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A 10 B 11 C 12 D 13

2

Which of the following is the pattern of the number sequence −1, 2, 5, 8, …?

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A $3n + 4,\ n = 0, 1, 2, 3, \ldots$ B $3n + 4,\ n = 1, 2, 3, 4, \ldots$ C $3n - 4,\ n = 0, 1, 2, 3, \ldots$ D $3n - 4,\ n = 1, 2, 3, 4, \ldots$

T4 Chapter 3.2e Forming a Strong Inductive Argument

3

Diagram 1 shows a right-angled triangle PQR. Given the area of the triangle is 4.288 cm². Calculate the length of the base, in cm, of the triangle and round off your answer correct to two significant figures.

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A 1.3 B 1.34 C 2.68 D 2.7

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

4

Express $5^4 + 5^3 + 5^1 + 1$ as a number in base five.

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A $11010_5$ B $11011_5$ C $4310_5$ D $43010_5$

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

5

Khairul wants to give a designer handbag that costs RM1 500 to his mother. He plans to purchase the handbag in six months by setting a target to save 10% of his monthly salary of RM2 500. Choose the SMART component that matches Khairul's financial goal.

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A Available B Acquirable C Acceptable D Attainable

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

6

Table 1 shows the fire insurance information purchased by Harith. | | | |---|---| | Insurable value | RM313 400 | | Amount of required insurance | 75% of the insurable value | | Amount of insurance purchased by Harith | RM200 000 | | Deductible | RM5 000 | Harith's house caught on fire and suffered a total loss. Calculate, in RM, the loss borne by Harith.

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A 40 050 B 83 350 C 118 400 D 195 000

T5 Chapter 3.1c Solving Problems Involving Deductible and Co-insurance

7

Table 2 shows the prices of food and beverages ordered by Kamelia and her friend. | Food and beverages | Quantity | Price (RM) | |---|:---:|:---:| | Nasi lemak | 1 | 7.50 / plate | | Fried noodles | 1 | 6.50 / plate | | Coffee | 2 | 3.20 / cup | Given that the service tax charged is 6%. Calculate, in RM, their bill.

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A 18.23 B 19.18 C 20.40 D 21.62

T5 Chapter 4.1e Calculating Road Tax, Property Assessment Tax, Quit Rent, and Sales and Service Tax

8

Given $p : q : r = 7 : 9 : 11$ and $r - p = 36$. Calculate the value of $q$.

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A 18 B 63 C 81 D 99

9

In a quiz competition, participants are awarded $r$ marks for each correct answer and penalised $s$ marks for each incorrect answer. In the final marks calculation, participants will receive a bonus of $x$ marks for every 7 correct answers, and a deduction of $y$ marks for every 3 incorrect answers. If Noura answered 15 questions correctly and 10 questions incorrectly, determine the algebraic expression that represents her total marks.

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A $15r - 10s + 3x - 7y$ B $15r - 10s + 2x - 3y$ C $15r - 10s + 7x - 3y$ D $15r - 10s + 3x - 2y$

10

Simplify $$\frac{7x}{6} - \frac{5y}{9x}$$

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A $\dfrac{63x^2 - 30y}{18x}$ B $\dfrac{63x^2 - 10y}{18x}$ C $\dfrac{21x^2 - 30y}{18x}$ D $\dfrac{21x^2 - 10y}{18x}$

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