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Kelantan Trial 2025 Mathematics Kertas 1

1
Which number is round off correctly to three significant figures?
2
Which of the following straight lines is parallel to the x-axis?
3
If y = x^2 - 6x + 9, what are the coordinates of the minimum point for the graph of this function?
4
Express the number 27_9 in base three.
5
In Diagram 1, PQRSTU and ABCDRQ are two regular hexagons. PUVWX is a regular pentagon. Find the value of x° + y° + z°.
6
Given that \frac{p}{6}=\frac{7p-1}{\sqrt{q}}, express q in term of p.
7
Diagram 2 is a Venn diagram showing the number of elements in set P, set Q, and set R. If n (ξ) = 80, n (P) = 40, n (Q) = 35, n (R) = 30, dan n (P ∩ Q ∩ R) = 10, calculate n (P ∩ Q)'.
8
Diagram 3 shows a graph that has loops and multiple edges. Determine the number of edges and the total degree of the graph.
9
Given ungrouped data: 5, 7, 9, 12, 15, 7, 10. What is the range of the data?
10
Diagram 4 shows the Distance -Time Graph for the movement of a car that leaves from Kota Bharu to Gua Musang. The car started leaving Kota Bharu at 6.00 am and stopped for one hour after two hours of travel. Then the car continued its journey for another 25km until arriving in Gua Musang at 10 am. Calculate the average speed for the entire journey of the car.
11
Given that events A and B are two mutually exclusive events and P(A) = \frac{1}{3}. If P(A \cup B) = \frac{7}{9}, identify P(B).
12
In the 100-meter race during the school's Annual Sports, Azmi came in first place, Shahrul came in second place and Gopal came in third place with times of 12.5 seconds, 14.2 seconds and 15.5 seconds respectively. What is the ratio of the fastest time to the slowest time?
13
Which of the following is a linear equation in one variable?
14
Diagram 5 shows a rectangle. Given that the area of the rectangle is 12p^3q^2 cm^2. Express the length of the rectangle in terms of pq.
15
Zainab wants to donate 2% of her monthly income, P in RM, to a local charity. Form a linear inequality if her donation is more than RM250 per month.
16
In diagram 6, find the value of x - y.
17
Mrs Milla saves RM 48 500 in Bank Muharam at an interest rate of 2.5% per annum and the interest is compounded every 3 months. Calculate the matured value at the end of the second year.
18
Which of the following graphs represents y = -\frac{5}{x}?
19
The stem-and-leaf plot below shows the time taken (in minutes) for a student to complete a Mathematics quiz. State the interquartile range for the data. ### Time taken to complete the Mathematics Quiz | Batang / Stem | Daun / Leaf | |---|---| | 1 | 3 5 5 | | 2 | 1 4 6 6 7 | | 3 | 0 0 0 1 3 4 6 7 7 8 9 | | 4 | 1 2 3 5 6 6 | | 5 | 2 4 4 5 7 8 | Key : 1|3 means 13 minutes
20
Based on the diagram 7 below, state the appropriate pair of numbers in position M.
21
A rectangular open area at a school with an area of 27(x^2 - 10x + 25) square meters will be paved to become a car parking area. If the area of a car parking unit is (x - 5)^2 square meters, how many cars can be parked in that area?
22
A school canteen sells nasi lemak at RMx per packet and mineral water at RMy per bottle. On one day, 40 packs of nasi lemak and 60 bottles of mineral water were sold. If the total sales collection on that day is RMz, write the formula for the total sales collection in terms of x and y.
23
The mean of five numbers is 15. If two numbers are added to the data set of those numbers, that is x and x + 3, the new average is 18. Calculate the values of x.
24
Solve 4^x - \frac{1}{256} = 0
25
Table 1 shows a group of 60 who passed and failed in driving test. | Kumpulan/Group | Lulus Pass | Gagal Fail | |---|---|---| | Lelaki/ Male | 15 | 12 | | Perempuan/Female | 17 | 16 | If a student is picked at random from the female group, calculate the probability the students is failed the test.
26
In the inequality 4x + 2y > 10, what point is not in the solution region?
27
A factory packed 257.5 kg of cookies into 1050 smaller packets in preparation for the Independence Day program to be held in August 2025. Calculate the average mass, in g, of cookies in each packet.
28
Diagram 8 shows A'B'C'D' is a scaled drawing of a rectangular field, drawn at a scale of 1 : 5. The area of the field is 7 200 m^2. Calculate the perimeter, in m, of the field.
29
Diagrams 9 shows the right-angled triangles PQR. Given RS = \frac{1}{3}QR and sinm° = \frac{5}{13} calculate the length of QS.
30
Given tan x° = -0.5317 dan 0° \leq x \leq 360°. Find the values of.
31
Diagram 10 shows RST is a tangent to the circle with centre O, at S. PQR is a straight line. Calculate the values of x.
32
Given \begin{pmatrix} -2 \\ x \end{pmatrix} (4 \quad y) = \begin{pmatrix} - & 2 \\ 2 & xy \end{pmatrix}, find the value of x and of y.
33
Given 2A + \begin{pmatrix} 2 \\ 1 \end{pmatrix} = \begin{pmatrix} 2 \\ 9 \end{pmatrix}, then A is
34
Given that P \alpha \frac{1}{2H} and P = 2 when G = 4 and H = 3. Calculate the value of H when P = 3 and G = 8.
35
Diagram 11 shows a circle DEFG with centre K with radius 4 cm. HD and HF are the tangent to the circle. Locus of X moves 4 cm from K and the locus of point Y moves at the same distance from HD and HF. Which of the following points shows the intersection of the two loci.
36
In Diagram 12, K is the image of J under a translation \begin{pmatrix} m \\ n \end{pmatrix}. JK is 13 units. The translation \begin{pmatrix} m \\ n \end{pmatrix} is
37
Table 2 is a cumulative frequency table which shows the mass of 20 parcels. | Berat (kg) | 8 – 10 | 11 – 13 | 14 – 16 | 17 – 19 | 20 – 22 | |---|---|---|---|---|---| | Mass (kg) | | | | | | | Kekerapan Longgokan | 7 | 11 | 12 | 15 | 20 | | Cumulative Frequency | | | | | | Calculate the mean mass, in kg, of parcels are
38
Which is the following is involved in the third process of financial management?
39
Puan Amy owns a terrace house with an insurable value of RM350 000. The house is insured with fire insurance which provides 75% of insurable value and a deductible of RM3 000. If Puan Amy's house encounters a total lost, how much compensation will be accepted by Puan Amy?
40
Wafi owns a residential house in Ketereh, Kelantan. He receives property assessment tax bill from the Ketereh Municipal Council. It is given that the annual value is RM9 000 and property assessment tax rate is 5%. Calculate the property assessment tax payable by Wafi for each half year.
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