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Negeri Sembilan Trial 2023 Mathematics Kertas 1 · MPSM

1
Diagram 1 shows a cube. Given that the volume of the cube is 729 m^3. Calculate the area, in cm^2, the net of the cube in standard form.
2
Express \frac{m-4}{m+1} \div \frac{m^2-3m-4}{m^2-1} as a single fraction in simplest form.
3
Given that \sqrt{\frac{3+p}{p+q}}=r , express p in terms of q and r.
4
Mumtaz has a piece of carpet in the shape of a regular polygon. The size of the interior angle of the carpet is \frac{7}{2} of the size of the exterior angle. Find the number of sides of the carpet.
5
In Diagram 2 below, PQR is a straight line and line ST is parallel to line PQR. Find the value of x.
6
Simplify. (\frac{16}{y^8})^{\frac{1}{4}} \times y^{-3}
7
In Diagram 3 below, JKLM is a straight line. Given that cos x° = \frac{1}{\sqrt{5}} and LM : KL = 1 : 2. Find tan y°.
8
Izzudin made a personal loan of RM85 000 from Bank Bumi with an equal interest rate of x % per annum. If the monthly payment paid by Izzudin is RM1 593.75 per month for 5 years, what is the interest rate offered by the bank?
9
The data set below shows the points collected in a quiz competition. (3x + 8), 3, (2 + x), 4, 5x, 10 Given that the mean of the data is 10.5. Calculate the sum of the median and the mode.
10
Given \begin{pmatrix} x \\ 3 \end{pmatrix} (2 \quad y) = \begin{pmatrix} 1 & 2 & 1 & 8 \\ 6 & & 9 & \end{pmatrix}. The value of y-x is
11
Given \tan y = \frac{8}{15} and y is reflex angle. Find the value of \sin y.
12
Given r \propto s and s=2t+1. If r=6 when t=4, express r in terms of s.
13
Diagram 4 shows the speed-time graph of Sofee's journey from her home to the laundry center. If the car experiences a deceleration of 0.6 ms⁻², calculate the value of h.
14
Aireen bought 5 packs of nasi lemak, all of which cost RM15 at Mak Timah's expense. In her wallet were 3 pieces of RM10 notes, 5 pieces of RM5 notes and 5 pieces of RM1 notes. She picked two banknotes in her wallet at random one after the other to pay for the nasi lemak. Find the probability that she pays the exact amount of nasi lemak.
15
The Venn diagram below shows the number of elements in set A, set B and set C. It is given that the universal set $\xi = A \cup B \cup C$ and $n(\xi)=16$. Find the value of $n(B')$
16
Airil's taxable income for the year 2022 is RM78 320. His monthly PCB is as much as RM350 and his zakat payment for the same year is RM450. Calculate the remaining income tax payment to be paid by Airil.
17
Which of the following factors will effect the premium paid for life insurance?
18
In Diagram 6, PQRSTUV is a polygon. TW is the line of symmetry of the polygon. The value of x is
19
Diagram 7 shows a straight line RS drawn on a Cartesian plane. The gradient of RS is \frac{3}{5}. Find the x-intercept of the straight line RS.
20
Table I shows the types of magazine bought by some customers in a bookshop. | Magazine | Number of copies | | :--------------- | :--------------- | | Entertainment | 10 | | Sport | 25 | | Automobile | 32 | | Fashion | 23 | Diagram 8 is a pie chart represented all the information. The type of magazine that is represented by the sector X is
21
Diagram 9 shows triangles drawn on square grids. Triangle R' is the image of triangle R under a certain rotation. Which of the points A, B, C and D is the centre of the rotation?
22
Which of the following represents the solution for the linear inequality -10 <= 2 - y < -8?
23
Factorise 54s^2 - 24 completely.
24
Table 2 is a frequency table which shows the mass of durians, in kg, sold by 24 fruit stalls. | Mass of durians sold (kg) | Frequency | |---|---| | 90 - 94 | 7 | | 95 - 99 | 5 | | 100 - 104 | 1 | | 105 - 109 | 9 | | 110 - 114 | 2 | Calculate the mean mass, in kg, of durians sold by a fruit stall.
25
In Diagram 10, QR and RS are two tangents to the circle with centre O. Find the distance, in cm, between centre O and the point R.
26
Which of the following represents the graph of y = sin 4x^\circ for 0^\circ \le x \le 180^\circ?
27
Table 3 shows the number of male and female Mathematics teachers in school M and school N. | | School M | School N | |---|---|---| | Male | 2 | 2 | | Female | 4 | 2 | If a Mathematics teacher is chosen at random from the two schools, what is the probability that a female Mathematics teacher from school N will be chosen?
28
Diagram 11 shows some number cards. If a card is picked at random, state the probability that a odd number is picked.
29
Given (2x+1)(x - 3) - 8x + 9 = 0, find the value of x.
30
List all the subsets of set Q = {@, \cap}
31
Complete the premise 1 in the following argument. Premise 1 :....................................... Premise 2 : z^2 \neq 9 Conclusion : z \neq 3
32
In Diagram 12, OKLM is a rectangle and J is a midpoint of KL. Find the equation of straight line that is parallel to the straight line OL and passes through point J.
33
Choose the highest value 1101101_2, 243_5, 273_10, 271_8
34
Which graph represent part of the graph xy = -7?
35
Diagram 13 shows the plan, front elevation and side elevation of a solid. Which of the following shows the correct solid ?
36
Point (3, -2) is the image of point T under a reflection in the x-axis. Find the coordinates of point T.
37
State the value of digit 4 in the number 33421_5 in base two.
38
Based on three given measurements, which triangle is acute-angled triangle?
39
Which of the following is not a tessellation?
40
Which of the following is the correct example of type of investment and liquidity level? | | Type of Investment | Liquidity Level | |---|---|---| | A | Saving | Moderate | | B | Company shares | Low | | C | Real estate | High | | D | Unit trust | High |
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