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Johor Trial 2025 Mathematics Kertas 1 · Set 1

1
Round off 0.3768 correct to two significant figures.
2
\sqrt{16} \times \sqrt{16} \times \sqrt{16} =
3
### Diagram 1 Diagram 1 shows a number sequence. Calculate the value of x.
4
Hani bought 5kg of durian for RM120. How many kg of durian can be bought for RM240?
5
Which of the following is a linear equation in one variable?
6
### Diagram 2 Diagram 2 shows the graph of a function y = ax^n.
7
Given that x = \frac{2-y}{1+3y}. Express y in terms of x.
8
### Diagram 3 Diagram 3 shows the straight-line RS which intersects the y-axis at the point (0,8). O is the origin. Which of the following is the gradient of the straight-line RS?
9
### Diagram 4 Diagram 4 shows that PQ, RS and TU are straight lines. Find the value of x - y.
10
Given point A(2,9) and B(0,7). Find the distance between point A and point B.
11
### Diagram 5 Diagram 5 shows PQRS is a rectangle. Calculate the area of the shaded region?
12
Which of the following is the correct orthogonal projection of the cone below onto the vertical plane?
13
There are 15 marbles in a container. 10 of them are blue marbles. One marble is randomly taken from the container. Calculate the probability that a non-blue marble is chosen.
14
The mean score for a group of 10 students in a test is 45. One of them, who scored 90 marks, was removed from the group. What is the new mean score?
15
Express 7.827 x 10^-5 as a single number.
16
Simplify: \frac{125^{\frac{2}{3}} \times (p^4 q^{-4})^{\frac{1}{2}}}{625^{\frac{1}{4}} \times (p^{\frac{1}{4}})^{-8} q^{-6}}
17
It is given that s \times s \times s \times s \times s \times s \times s \times s \times s \times s = 6^t, find the value of s and of t.
18
Class Sahsiah has 123_5 pupils. Class Takwa has 14_5 pupils less than class Sahsiah. Calculate the number of class Takwa's pupils.
19
Mr. Kamal plans to buy a house with a selling price of RM306 000 in the next 3 years. A down payment of 10% is required if he buys the house. Mr. Kamal's total monthly income is RM5 800. Mr. Kamal's total monthly fixed and variable expenses are RM3 400. If he saves the down payment monthly, how much will Mr. Kamal's remaining monthly income be?
20
### Table 1 Table 1 below shows some information about the medical insurance policy purchased by Maznah. The co-insurance percentage participation clause in Maznah medical policy is not shown. | Deductible | RM1 000 | |---|---| | Co-insurance percentage | x | | Annual limit | RM500 000 | Maznah underwent a surgery with a total cost of RM247 000. The cost paid by Maznah is RM25 600. Calculate the value of x.
21
Siva owns a residential house in Bandar A which has an annual value of RM7 800. Given that the rate of gate tax imposed by the Municipal Council is 5%. How much gate tax does Siva have to pay for every six months?
22
### Diagram 6 Diagram 6 below shows a triangle M drawn on Cartesian plane. Given that transformation P is a reflection on the line x = -1 and transformation Q is a reflection on the line y = 3. Triangle M undergoes the combination of transformations PQ. State the single transformation that is equivalent to the combination of transformations PQ.
23
### Diagram 7 In the diagram 7, MNQ and RQP are straight line. Given tan x^{\circ}=\frac{1}{2} and cos y^{\circ}=-\frac{4}{5}, calculate the length, in cm, of RP.
24
A spherical metal block with a radius of 14 cm is melted to produce several 5cm cube-shaped metal pieces. How many perfect cube blocks will be produced from the spherical metal liquid?
25
Which of the following is not a method of data collection?
26
A number is chosen at random from a set of cards labelled “1, 2, 3, 4, 5, 6, 7, 8, 9”. Calculate the probability of choosing an even number or a prime number.
27
### Table 2 The frequency table below shows the ages of the workers in a factory. | Age (years) | Midpoint | Frequency | |---|---|---| | 21 – 30 | 25.5 | 8 | | 31 – 40 | 35.5 | 7 | | 41 – 50 | 45.5 | 6 | | 51 – 60 | 55.5 | 3 | Calculate the variance of the data.
28
### Diagram 8 Diagram 8 shows a graph. Determine the value of \Sigma d(v).
29
### Diagram 9 Diagram 9 shows an undirected and weighted graph. Based on the above graph, a subgraph with 7 vertices and 6 edges can be drawn. Determine the minimum total weight of the subgraph.
30
Which of the following is a statement?
31
Given implication 'If x is a factor of 3, then x is a factor of 9'. The contrapositive for this implication is
32
It is given the universal set, \xi=\{x: 1 \le x \le 15\}, set P=\{2, 5, 8, 13, 15\} and set Q = {prime numbers}. Find the number of subsets of P \cap Q.
33
It is given that set R and set S are such that R \cap S = \{3, 7\}, (R \cap S)' = \{2, 4, 6, 9\} and (R \cup S)' = \{9\}. State all the elements of R \cup S.
34
Given two simultaneous linear inequalities 2x + 3 < 8 and 8 \le y < 17, where x and y are positive integers. Find the largest value of \frac{y}{x}.
35
### Diagram 10 Diagram 10 shows a speed-time graph of an object in 16 seconds. Given the rate of change of speed in the first 6 seconds is 2.5 ms⁻², calculate the value of u.
36
### Diagram 11 Diagram 11 shows a graph of y = x^2 + k on a Cartesian plane. Determine the value of h and of k.
37
D varies directly as L and inversely as square root of A, and k is the constant. Determine the relationship in the form of an equation between D, L and A.
38
It is given m varies inversely as n^3 and m = 2 that when n = \frac{1}{4}. Calculate the value of n when m = \frac{1}{8}.
39
Which of the following matrices does not have the inverse matrix?
40
Given $(5h \quad 7)\begin{pmatrix} -7 & -9 \\ 5h & -5 \end{pmatrix} = (0 \quad 145)$, find the value of h.
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