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Terengganu Trial 2025 Mathematics Kertas 1 · MPP 3

1
Calculate the difference between 111011_2 and 100101_2.
2
Which of the following pairs has the same value?
3
m^{\frac{2}{3}} \times \sqrt[3]{m^2} =
4
### Diagram 1 Diagram 1 shows a Pascal's Triangle. State the value of p.
5
### Diagram 2 Diagram 2 shows a sector OPQ with centre O and a parallelogram OABC. Given OA = 13 cm, ∠OCB = 67.38° and OA:OP = 1 : 2. Using \pi=3.142, calculate the area of shaded region in cm^2.
6
In a given month, Adif received a salary of RM1 800 and a commission as a direct sales agent of RM697.60. Adif's fixed and non-fixed expenses for the month were RM1 650 and RM870.90 respectively. Calculate the cash flow of Adif for that month.
7
Mr. Azahari has a piece of land measuring 10 m x 30 m. The quit rent rate levied in that area is RM0.60 per square meter. Calculate the quit rent payable by Encik Azahari each year.
8
Which of the following compensation can be claimed from motor insurance?
9
Co-insurance in health insurance contracts is set out in the percentage participation clause. The 80/20 co-insurance percentage participation for the policyholder means
10
### Diagram 3 Diagram 3 consists of a regular polygon and a rectangle. Given the perimeter of the diagram is p cm. Which of the formula that shows the relationship between a and b correctly.
11
Express \frac{5x-2}{8} - \frac{6-x}{8} as a single fraction in its simplest form.
12
### Diagram 4 Diagram 4 shows a straight line PQ on a Cartesian plane. Given the equation of straight line PQ is 3y = -2x + 18. Find the x-intercept.
13
### Diagram 5 Diagram 5 shows the graph of a quadratic function f(x) = -(x^2-4x-12) Calculate the value of m, n and p.
14
### Diagram 6 Diagram 6 shows a graph representing a system of linear inequalities. Which of the following linear inequalities is not represented by the shaded region?
15
### Diagram 7 Diagram 7 shows the distance-time graph for the movement of a car. Given the average speed of the car is 32 km/h. Calculate the value of s.
16
### Diagram 8 Diagram 8 shows the speed-time graph of a particle for a period of T seconds. If the distance travelled by the particle is 78 m, find the value of T.
17
M varies directly with the square of h. Find the relation between M and h.
18
The time taken to prepare 100 headscarves, t hours, varies inversely with the number of workers, w. If 4 workers take 10 hours, express t in terms of w.
19
Given P varies directly as Q and inversely as the square of R. Given P = 3 when Q=12 and R = 6. Find the value of R when P = \frac{3}{2} and Q = 6.
20
\begin{pmatrix} 4 & 6 \\ 3 & 1 \end{pmatrix} + 2\begin{pmatrix} 5 & 2 \\ -2 & 3 \end{pmatrix} - \begin{pmatrix} -1 & -5 \\ 8 & 4 \end{pmatrix} =
21
Given that matrix P = \begin{pmatrix} -x+3 & 0 & 3 \\ 9 & -6 & 12 \end{pmatrix} and matrix Q = \begin{pmatrix} -4 & 0 & 3 \\ 9 & -6 & 12 \end{pmatrix}. Determine the value of x if P=Q.
22
### Diagram 9 Diagram 9 shows a regular pentagon PQRST and a straight line SUT. Find the value of x.
23
### Diagram 10 Diagram 10 shows a square PQRS drawn on a square grid with sides of 1 unit. X is a point that moves within the square which is equidistant from point J and point L. Using the letters in the diagram, state the locus of point X.
24
The area of a trapezium is 324 cm^2. Under an enlargement, the area of the image becomes 36 cm^2. Find the scale factor.
25
### Diagram 11 Diagram 11 shows a rectangle, EFGH. Find the perimeter, in cm, of the shaded region.
26
### Diagram 12 Diagram 12 shows six points P, Q, R, S, T and U drawn on the cartesian planes. Which of the following pairs of object and image shows the transformation involved.
27
### Diagram 13 Diagram 13 shows two right-angled triangles PQT and QRS. PQR and QST are straight lines. Given sin x = \frac{24}{25} and QS = ST. Calculate the length, in cm, of PQR.
28
### Diagram 14 Diagram 14 shows the straight line JKM. Given cos x = \frac{4}{5}, the value of tan y is
29
State the antecedent of the following implication. > If q^2 = 169, then q = 13
30
Given a number sequence 15, 6, -3, x, -21, y,... Calculate the value of x - y.
31
Given universal set, \xi={1,2,3,4,5,6,7,8}. If A \cup B={1,2,3,4,5,6,7,8}, A={2,4,6} and B'={2,3,5,7}. Determine the elements of set B.
32
### Diagram 15 Diagram 15 is a Venn diagram that shows the number of elements of set P, set Q and set R. Given that the universal set, \xi = P \cup Q \cup R and n(R') = n(P \cap R). Find the value of x.
33
### Diagram 16 Diagram 16 shows a directed graph. Which of the following is incorrect of the graph?
34
### Table 1 Table 1 shows the video game scores for a group of players. | Skor / Score | 10 | 20 | 30 | 40 | |---|---|---|---|---| | Kekerapan / Frequency | 4 | 5 | 3 | 5 | If three new players score 30 and the mode changes to 30, calculate the mean of the new scores.
35
### Diagram 17 Diagram 17 shows a set of six numbers, where x and y are integers. The mean and mode for the set of numbers are 8 and 11 respectively. Find the value of x and value of y.
36
Ahmad, Braham and Chin fire one shot each at a target. The probability that Ahmad, Braham and Chin will hit the target are \frac{2}{5}, \frac{3}{4} and \frac{2}{3} respectively. Calculate the probability that only Braham hit the target.
37
Diagram 18 shows a dot plot of the shoe size for 20 students in a class. Which of the following statements is true?
38
Calculate the variance for the data given. | n = 10 | \Sigma x = 586 | \Sigma x^2 = 43294 |
39
Alissa has five red pens, three black pens and seven blue pens. If she chooses a pen at random, calculate the probability that she chooses a red pen or a blue pen.
40
### Diagram 19 Diagram 19 shows an ogive of the money spent by 100 customers at a restaurant. Calculate the value of interquartile range.
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