Sarawak Trial 2026 Mathematics Kertas 1 · Set 1

Mathematics

Sarawak Trial 2026 Mathematics Kertas 1 · Set 1

• Sarawak Trial Set 1
• 40 questions
• With explanations

1

The price of an adult ticket to watch the badminton match between Team A and Team B is $1043_5$. What is the value of the ticket price in base 10?

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A 143 B 146 C 148 D 155

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

2

Express $\frac{2^6 \times 4^3}{8^2}$ in the form of $2^n$.

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A $2^4$ B $2^5$ C $2^6$ D $2^7$

3

Diagram 3 shows a circle with arcs AB, BC and AC. Given the circumference of the circle is $188500 \times 10^{-5}$ cm. Calculate the length of arc AC, in m.

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A $10.15 \times 10^{-1}$ B $9.61 \times 10^{-1}$ C $8.15 \times 10^{-3}$ D $7.20 \times 10^{-3}$

4

A rectangular recreation park has length (x + 3) m and width (x − 1) m. If the area of the park is 60 m², find the value of x.

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A 5 B 7 C 9 D 12

T4 Chapter 1.1f Forming a Quadratic Function or Equation Based on a Situation T4 Chapter 1.1k Solving Problems Involving Quadratic Equations

5

Given a quadratic function $f(x) = 2x^2 - 8x + 5$, determine the minimum point of the function.

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A (−2, −3) B (−2, 3) C (2, −5) D (2, −3)

T4 Chapter 1.1c Shape of the Graph of a Quadratic Function T4 Chapter 1.1d Axis of Symmetry of a Quadratic Function

6

Which of the following compound statements is **true**?

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A $2^3 = 6$ or $\sqrt{81} = 9$. B $5^0 = 0$ or $\sqrt[3]{-8} = 2$. C $2^{-3} = -8$ or $3^2 = 6$. D $\sqrt{2}$ is a rational number or $5^2 = 10$.

T4 Chapter 3.1c Compound Statements: "and" and "or"

7

Given an implication as follow: If x is a prime number, then x has only two factors. Determine the converse of the implication.

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A If x does not have two factors, then x is not a prime number. B If x has only two factors, then x is a prime number. C If x is not a prime number, then x does not have two factors. D If x has only two factors, then x is not a prime number.

T4 Chapter 3.1e Converse, Inverse and Contrapositive of an Implication

8

Diagram 8 shows the distance travelled by Susan from Town A to Town C. Susan travels at a rate of 45 km in half an hour. Given that the ratio of Susan's speed to John's speed is 3 : 4. Calculate the time required for John to travel from Town A to Town C.

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A 1 hour 3 minutes B 1 hour 8 minutes C 1 hour 18 minutes D 1 hour 30 minutes

T4 Chapter 7.1c Solving Problems Involving Distance-Time Graphs

9

Given the universal set, $\xi = P \cup Q \cup R$. Which of the following represents the shaded region $(P \cup Q) \cap R'$?

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A B C D

T4 Chapter 4.3b Complement of Combined Operations on Sets

10

Diagram 10 shows a Venn diagram with universal set, $\xi$ = {form five students}, set M = {students taking Mathematics} and set S = {students taking Science}. Given $n(\xi) = 50$, n(M) = 30, n(S) = 25 and $n(M \cap S) = 12$. Find the number of students who **do not** take any of those subjects.

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A 7 B 13 C 18 D 43

T4 Chapter 4.2c Solving Problems Involving Union of Sets

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