SPM Mathematics 2024 Trial MRSM Kertas 1 – 40 Questions with Answers

Factorise completely the expression $5x^2 - 5$.

A $5(x^2 + 1)$ B $5(x^2 - 1)$ C $5(x + 1)(x - 1)$ D $5(x - 1)(x - 1)$

Given that $\frac{3a + 4}{5} = a + 2b$, express $a$ in terms of $b$.

A $a = \frac{4 - b}{2}$ B $a = \frac{2b - 9}{2}$ C $a = -2 + 5b$ D $a = 2 - 5b$

Which of the following is **not true**?

A $3x^0 y^0 = 3$ B $\left(\frac{a}{b}\right)^{-3} = \left(\frac{b}{a}\right)^3$ C $5m^{-2} = \frac{1}{5m^2}$ D $(3x^3)^2 = 9x^6$

If $p \times p \times p \times p \times p \times p = (-2)^{\frac{q}{2}}$, state the value of $p$ and of $q$.

A $p = 2,\ q = 12$ B $p = 2,\ q = 5$ C $p = -2,\ q = 3$ D $p = -2,\ q = 12$

Round off 396.4 correct to two significant figures.

A 40 B 400 C 400.0 D 400.4

Diagram 1 shows a durian orchard, $PQRS$, in the shape of a trapezium. Given that the area of the orchard is 690 m$^2$, calculate the perimeter, in m, of the orchard.

A $1.18 \times 10^2$ B $1.18 \times 10^3$ C $1.27 \times 10^2$ D $1.27 \times 10^3$

Which of the following is **not** an investment?

A Shares B Unit trust C Inheritance D Real estate

Zainal takes a personal loan of RM30 000 from Bank Cemerlang with an interest rate of 4.5% per annum on the balance. The repayment period is 9 years and the monthly instalment is RM245. What is the total amount of interest, in RM, payable by Zainal for the first two months?

A 112.00 B 112.50 C 224.50 D 225.00

The following is a sequence in base 7. $3165_7,\ 3166_7,\ p_7,\ \dots$ Determine the value of $p_7$.

A 3210 B 3200 C 3170 D 3167

Firdaus is a data analyst with a monthly income of RM7 000 and plans to get married in three years. The wedding expenses are estimated at RM50 000. Therefore, he wants to save RM1 500 a month for three years. Based on the situation above, which one fulfils the realistic component of the SMART concept for achieving his financial goal?

A The wedding expenses are RM50 000. B The saving period is three years. C Save RM1 500 monthly. D Monthly saving of RM1 500 out of a total income of RM7 000.

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Others Trial 2024 Mathematics Kertas 1 · MRSM

Others Trial 2024 Mathematics Kertas 1 · MRSM

Others Trial 2024 Mathematics Kertas 1 · MRSM

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