SPM Mathematics 2023 Kedah Trial Kertas 1 – 40 Questions with Answers

State $2^7 + 2^6 + 2^3 + 2 + 1$ as a number in base two.

A $11001011_2$ B $11011011_2$ C $11010101_2$ D $10011011_2$

Arrange the following numbers in ascending order. $2110_3,\ 310_4,\ 209_5,\ 101101_2$

A $209_5,\ 310_4,\ 2110_3,\ 101101_2$ B $209_5,\ 101101_2,\ 310_4,\ 2110_3$ C $101101_2,\ 2110_3,\ 310_4,\ 209_5$ D $101101_2,\ 310_4,\ 209_5,\ 2110_3$

Express 0.00078 in standard form.

A $7.8 \times 10^4$ B $7.8 \times 10^{-4}$ C $7.8 \times 10^5$ D $7.8 \times 10^{-5}$

Mokhtar has a plot of rectangular land measuring 239 m long and 329 m wide. Find the area, in m², of the land correct to three significant figures.

A 786 B 787 C 78 600 D 78 700

Encik Hafiz, a fashion designer, found that the number of shirts sold, $N$, varies directly as the advertising budget, $D$, and inversely as the price of a shirt, $P$. When RM4 500 is allocated for advertising and the price of a shirt is RM100, 450 shirts are sold. Express $N$ in terms of $D$ and $P$.

A $N = \frac{D}{P}$ B $N = \frac{10D}{P}$ C $N = \frac{100D}{P}$ D $N = \frac{1000D}{P}$

It is given that $p$ varies inversely as $\sqrt{q}$. If $p = 3$ when $q = 16$, calculate the value of $q$ when $p = 10$.

A 5.76 B 2.40 C 1.44 D 1.20

Azhan plans to take part in Kayuhan Perdana organised by Taman Tasik. Diagram 7 shows his cycling route during a training session, starting from point P. State the route with the maximum distance, in km, that Azhan cycles if he passes through all the points.

A P – Q – R – S – T B P – Q – T – R – S C P – S – R – T – Q D P – S – R – Q – T

Which of the following is true about the statement below? "Graph H is a subgraph of graph G" I The edge set of graph H is not a subset of the edge set of graph G II The vertex set of graph H is a subset of the vertex set of graph G III The vertex pairs of the edges of graph H are the same as the edges of graph G IV The vertex pairs of the edges of graph H are not the same as the edges of graph G

A I and II B I and IV C II and III D III and IV

Diagram 9 shows a speed-time graph for the movement of a particle for a period of 32 seconds. Calculate the distance, in m, travelled by the particle with uniform speed.

A 120 B 400 C 520 D 640

Which of the following coordinates is a solution of the system of linear inequalities $x < 5$ and $x + 3y < 9$?

A (6, 0) B (4, 1) C (3, 2) D (−1, 4)

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Kedah Trial 2023 Mathematics Kertas 1

Kedah Trial 2023 Mathematics Kertas 1

Kedah Trial 2023 Mathematics Kertas 1

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