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Kelantan Trial 2023 Mathematics Kertas 1

1
Round off 0.05798 correct to three significant figures.
2
Given 1p0_8 = 323_5 find the value of p.
3
p is a common factor of 16 and 36. If 60 is a common multiple of 12 and p, what is the possible value of p?
4
Azam has p pieces of 20 cent coins and q pieces of 50 cent coins. His total money was RM7.80. Which of the following linear equations represent that situation?
5
The mass of a marble is 15 g and the mass of a box is 185 g. Anuar put n marbles into the box. If the total mass of the box and the marble is more than 290 g, calculate the smallest value of n.
6
Given X varies directly with Y and inversly with square root of Z. If Y=\frac{9}{4} when X=\frac{1}{8} and Z=144. Calculate the value of Z when Y=45 dan X=5.
7
Puan Aina purchased a piece of land lot for RM85 000 in cash. Then she sold the land for RM120 000 after ten years. The total charges involved in the sale and purchase arrangement are RM1 200 borne by the seller. Calculate the value of Mrs. Aina's return on investment.
8
Diagram 1 shows a cuboid. Rajah 1 / Diagram 1 The volume of the cuboid is V cm^3. Express V in standard form.
9
In the diagram 2 below, a and 15° are complementary angles. Given a and b are supplementary angles. The conjugate angle of c is 232°. Calculate the value of d. Rajah 2 / Diagram 2
10
The actual length of the road paved by Syarikat Bina Siap is 19 km and the length on a map is 10 cm. Find the scale used.
11
Given that cos x = -0.5234 and 0° <= x <= 270°. The value of x is
12
In Diagram 3, PQRSV is a regular pentagon and STUV is a rhombus. RST is a straight line. Rajah 3 / Diagram 3 Find the value of x + y + z
13
Table 1 is the frequency table showing the scores collected by a group of students in a tournament. | Skor / Scores | 0 - 4 | 5 - 9 | 10 - 14 | 15 - 19 | 20 - 24 | |---|---|---|---|---|---| | Bilangan Pelajar | 4 | 2 | 7 | y | 8 | | Number of students | | | | | | Jadual 1 / Table 1 If the mean score is 14, find the value of y
14
Which of the following is not a financial management process?
15
The line graph in Diagram 4 below shows the amount of money Dhia saved in a bank over a period of five years. State the amount of money saved in 2019. Rajah 4 / Diagram 4
16
Which of the following inequalities has the point (1,5) as a solution?
17
Diagram 5 shows a graph that has loops and multiple edges. Calculate Σd(v). Rajah 5 / Diagram 5
18
Based on the Diagram 6 below, determine the value of p. Rajah 6 / Diagram 6
19
The total sales of 50 packs of nasi lemak obtained is RM150. Total sales for 100 packs of nasi lemak obtained is RM300. Which of the following is the most suitable assumption for the situation.
20
Nally buys x m of curtain which costs of RM12 per metre and y m of batik cloth which costs RM7 per metre. If she pays RM120 to the cashier, express the balance in terms of x and y.
21
Diagram 7 shows a straight line PQ and RS drawn on square grid of 1 unit. Rajah 7 / Diagram 7 Find the product of the gradient of straight line PQ and RS.
22
Given 3x = 8 - 5y^2, express y in terms of x.
23
Diagram 8 shows a square PQRS, divided into eight congruent triangles. Rajah 8 / Diagram 8 Which of the triangles A, B, C dan D is the image of the shaded triangle is not under a reflection?
24
Puan Salini accelerates her car 6km/h per seconds while overtaking a lorry. If she has been driving with a speed of 90 km/h, calculate the speed in km/h after 7 seconds.
25
Diagram 9 shows two straight lines, PQ and RST. Given the PQ gradient is -\frac{5}{4} Rajah 9 / Diagram 9 Find coordinate of V
26
If \frac{1}{2}\begin{pmatrix} -8 & 2 \\ 4 & 4 \end{pmatrix} - 2Q = \begin{pmatrix} 4 & -5 \\ 6 & 2 \end{pmatrix}, then Q is
27
Diagram 10 shows the graph of the quadratic function f(x) = -x^2 - 4x + c. Rajah 10/ Diagram 10 Calculate the values of p and q.
28
Determine the interquartile range for the data set 2y, 4y, 4y, 6y, 8y, 9y, 10y, 10y, 12y.
29
A basket contains 3 apples, 6 oranges dan x + 3 lemons. The probability of choosing a lemon is \frac{5}{8}. Then, 5 apples and 4 oranges are added into the basket while a lemon is taken out from the basket. Calculate the new probability of getting a lemon.
30
Simplify (\sqrt{2} f^3g)^2 \div \frac{4f^5}{g^3}
31
Diagram 11 shows a square embedded in an isosceles triangle. The length of the side of the square is half the height of the triangle. Rajah 11 / Diagram 11 Calculate the area, in cm^2, of the unshaded region.
32
Diagram 12 is the Venn Diagram shows the number of employees who own car and motorbikes at Syarikat Maju Berhad. Given a set of universes, \xi=P\cup Q, set P={employees own car} and set Q= {employees own motorcycle}. A total of 71 employees own cars and 30 own motorcycles. Rajah 12 / Diagram 12 Count the number of employees who own one vehicle only.
33
Table 2 shows the number of male and female students in class 5 Anggerik and 5 Bunga Raya. | | 5 Anggerik | 5 Bunga Raya | |---|---|---| | Lelaki Male | 13 | 15 | | Perempuan Female | 13 | 14 | Jadual 2 / Table 2 One student is randomly selected from the male group and the other is randomly selected from the female group. What is the probability that the students chosen are from different classes?
34
Diagram 13 shows graph of function y = ax^n + c Rajah 13 / Diagram 13 State the value of a, c dan n
35
In Diagram 14, PSR and STU are straight lines Rajah 14 / Diagram 14 It is given that cos y = - \frac{12}{13} Calculate the length, in cm, of SR.
36
In the diagram 15, VSW is the common tangent of the two circles at S. O is the centre of the circle PQRSTU. Rajah 15 / Diagram 15 Find the value of x.
37
Diagram 16 shows that the regular pentagon and the RU line is the locus for Y. Rajah 16 / Diagram 16 Which of the following is true of locus Y.
38
In Diagram 17, triangle B is the image of triangle A under a transformation P and triangle C is the image of triangle A under a transformation Q Rajah 17 / Diagram 17 Transformation P and Transformation Q are | | Transformation P | Transformation Q | |---|---|---| | A | Translation | Enlargement | | B | Enlargement | Reflection | | C | Rotation | Translation | | D | Enlargement | Translation |
39
In motor insurance, the policyholder is responsible for a mandatory deductible of RM400. Which of the following is NOT the reason why the policy holder has to bear the deductible?
40
The table 3 shows the electricity tariff usage at Mr. Fariss's house in October. It is that usage exceeding 600kWh witin a month will be subjected to service tax of 6%. Calculate the value of x if Mr. Fariss' total bill payment for that month is RM 376.49 | Blok Tarif (kWj) Tariff Block (kWh) | Blok Purata (kWj) Prorated Block (kWh) | Kadar (RM) Rate (RM) | |---|---|---| | 200 | 200 | 0.218 | | 100 | 100 | 0.334 | | 300 | 300 | 0.516 | | 300 | x | 0.546 | Jadual 3/ Table 3
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