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Negeri Sembilan Trial 2025 Matematik Kertas 1

1
Diagram 1 shows the arrangement of the first three rectangular billboards. The width of each billboard is 4 metre. The height of the first billboard is 3 m. Each subsequent billboard is 1 m taller than the previous one. Find the area, in m², of the 6th billboard.
2
A basket contains 150 apples and some oranges. The probability of randomly selecting an orange from the basket is \frac{1}{6}. Calculate the number of oranges in the basket.
3
If x : y = 4 : 5 and y : z = 3 : 2, find the ratio of x : y : z.
4
Given the coordinate of point A(2,5) and the coordinate of midpoint of the straight line AB is (5, 1). Find the coordinate of point B.
5
Simplify the expression (a^2b^3)^3 \div (a^3b)^2
6
In a school stationery shop, the ratio of pens to pencils to erasers sold in a day is 3:5:2. Each pen costs RM2.40, each pencil RM1.20, and each eraser RM0.80. If a total of 80 items were sold, what was the total revenue collected?
7
In Diagram 2, the numbers represent the distance, in m. Find the shortest path from A to D.
8
An object moves with a speed of 10 ms^-1 and undergoes an acceleration of 2 ms^-2 for 5 seconds. What is the final velocity of the object?
9
Simplify \frac{4m^2-1}{m^2-1} \times \frac{mn+n}{4m-2}
10
A map has a scale of 1:5000. If the distance between two shops on the map is 8 cm, what is the actual distance between the towns?
11
Diagram 3 shows a parallelogram PQRS. Given that the distance between points P and Q is 4 units. Find the midpoint of the straight line PR.
12
### Table 1 | Skor Score | 5 | 10 | 15 | 20 | |---|---|---|---|---| | Kekerapan Frequency | 2 | x | 6 | 4 | If the mean of the data is 13, calculate the difference between the mean and mode of the data.
13
Given that \sqrt{r^3} = 6^{\frac{s}{t}}, find the value of r, s and t.
14
Ammar had a total annual income of RM63 450 in the year 2024. The total tax relief claimed by him was RM14 360. He donated RM1 200 to a government-approved welfare organization and pays zakat of RM300 every month through monthly salary deductions. Calculate Ammar's chargeable income.
15
It is given that, 2<=r<9 and 2-s<4 where r and s are integers. Find the maximum value of r-s.
16
Diagram 4 shows an isosceles triangle RST drawn on a Cartesian plane. Given that the area of triangle RST is 48 unit^2. Find the perimeter, in cm, of the isosceles triangle RST.
17
Ishaq bought a car worth RM130 000 on credit. He also paid a down payment of 10% and the balance was paid in installments over 7 years. If the monthly installment paid by Ishaq is RM1 831.61, what is the interest rate charged by the bank?
18
Given matrix \begin{pmatrix} 2 & p-1 \\ q & q+1 \end{pmatrix} has no inverse, express q in terms of p.
19
Diagram 5 shows two polygons, V and W drawn on a Cartesian plane. V is the image of W under a transformation. Find the image coordinates of the point P under the same transformation.
20
0.0076 is written as m x 10^n in the standard form. Find the value of m and n.
21
In Diagram 6, PQ is a straight line with a gradient of - \frac{14}{9}. Find the x-intercept of the straight line PQ.
22
Which of the following is true regarding the perfect square roof?
23
The insurable value of Ms. Chong's house is RM212 000.00 in the current year. She purchased fire insurance for her house with a co-insurance provision of 75% of the insurable value of her house and a deductible of RM2 600. Ms. Chong's house suffered a loss of RM15 000. Calculate the compensation received by Ms. Chong if she insured her house for RM120 000.
24
Which of the following has the largest value?
25
The data below shows the distribution of scores obtained by 9 students in a Science test. Determine the first quartile.
26
Given tan x = -1.732 and 0° <= x <= 360°. Find two possible values of x.
27
Which of the following statements is true?
28
Given r+8=4-\frac{r}{3}, then value of r is
29
Given that inverse of \begin{bmatrix} 5 & -3 \\ -2 & 3 \end{bmatrix} is \frac{1}{k}\begin{bmatrix} 3 & h \\ 2 & 5 \end{bmatrix}. Find the value of \frac{k}{h}.
30
Simplify \frac{5x^2y - 5xy^2}{5x - 5y}
31
### Table 2 | w | 4 | 16 | 36 | 64 | 100 | |---|---|----|----|----|-----| | v | 1 | 2 | 3 | 4 | 5 |
32
In a survey on student attendance at school, it was found that the probability of students arriving early to school was 0.51 and the probability of students arriving on time was 0.43. For a school with 450 students, find the number of students who did not arrive early or did not arrive on time.
33
Based on the expenses below, which will be given tax relief for the year of assessment 2024?
34
Mr. Abu owns a glove factory in Klang with a monthly rent of RM4 200 and the assessment tax rate charged is 6% per annum. Calculate the assessment tax payable by Mr. Abu over a period of 2.5 years.
35
Diagram 7 shows the number of students who are interested in Mathematics and Science for class 5 Sina. The total number of students in this class is 32. The number of students who are interested in both these subjects is 5. P = {number of students who are interested in Mathematics} Q = {number of students who are interested in Science} The number of students who are interested in Mathematics is twice the number of students who are interested in Science. Find the value of x – y.
36
In Diagram 8, ABCDEF is a regular hexagon. The value of y is
37
Simplify \frac{(2^{\frac{1}{5}})^2 \times 2^{-1}}{2^3 \times 2^{-3}} =
38
Diagram 9 is a bar chart showing the number of fatal road accidents in five months. The difference between the highest number of fatal road accidents and the lowest is 16. Find the number of fatal road accidents in the month of November.
39
In Diagram 10, BCD and DEF are the common tangents to the circles with centre O and A. Given that the radius of circle with centre O is 9 cm and the distance between the point A and the point D is 11 cm. Find the distance, in cm, between point O and point A.
40
Diagram 11 shows figures drawn on square grids. Which of the figures A, B, C and D is not the image of P under a certain reflection?
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