Pulau Pinang Trial 2025 Mathematics Kertas 1

Mathematics

Pulau Pinang Trial 2025 Mathematics Kertas 1

• Pulau Pinang 州试卷
• 40 题
• 附解析

1

All of the following relations are functions **except**

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A {(6, 3), (9, 3), (21, 3)} B {(0, 0), (1, 4), (2, 8), (3, 12)} C {(25, 5), (25, −5), (9, 3), (9, −3)} D {(0, 1), (1, 2), (2, 3), (3, 4), (5, 6)}

T4 Chapter 1.1b Quadratic Function as a Many-to-One Relation

2

Simplify $$\frac{16 - 9h^2}{m} \div \frac{4 - 3h}{m^3}$$

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A $\dfrac{1}{m^2(4 - 3h)}$ B $\dfrac{1}{m^2(4 + 3h)}$ C $m^2(4 - 3h)$ D $m^2(4 + 3h)$

3

Round off the answer of the difference between 0.0368 and $12.1 \times 10^{-3}$ correct to two significant figures.

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A $2.5 \times 10^{-3}$ B $2.5 \times 10^{-2}$ C $2.4 \times 10^{-1}$ D $2.4 \times 10^{2}$

4

Diagram 1 shows a solid lying on a horizontal plane. The line VW lies 7 cm vertically above the base ABCD. Which of the following is the orthogonal projection of the solid on the vertical plane parallel to BC as viewed from X?

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A B C D

5

Simplify $$\frac{9p^2q^6 \times 3p^2}{27q^2}$$

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A $\frac{1}{3}p^4q^4$ B $\frac{1}{3}p^5q^8$ C $p^4q^4$ D $p^5q^8$

6

Diagram 2 shows straight lines TR and RS on a Cartesian plane. Given $TR = \frac{1}{2}RS$, find the coordinates of point T.

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A $(-8, 5)$ B $(-5, 8)$ C $(5, 8)$ D $(8, 5)$

7

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

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

8

Diagram 3 shows that hexagon PRSTUV is the image of hexagon PQABCW under an enlargement with vertex P as the centre of enlargement. It is given that Q is the midpoint of side PR and the area of hexagon PQABCW is 17 cm². Calculate the area, in cm², of the shaded region.

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A 15 B 51 C 68 D 78

T5 Chapter 5.2e Solving Problems Involving Enlargement

9

Rodi earns overtime when he works at least 9 hours a day. If $t$ is the number of hours worked per day, describe an inequality based on the given situation.

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A $t$ is equal to 9 B $t$ is greater than or equal to 9 C $t$ is greater than 9 D 9 is greater than $t$

T4 Chapter 6.2a Systems of Linear Inequalities: Representing Situations

10

Table 1 shows the values of L, M and N. | L | 4 | 3 | |:---:|:---:|:---:| | M | 2 | 6 | | N | 1 | $w$ | It is given that L varies directly as M and inversely as N. Find the value of $w$.

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A 1 B 2 C 4 D 6

T5 Chapter 1.3a Combined Variation

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