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Perak Trial 2023 Mathematics Kertas 1

1
Yazid age this year is 3 times the age of his son, Haiqal. The sum of their ages in the last 6 years is y years. If Haiqal age this year is x years, express x in terms of y.
2
Express \frac{4}{m} - \frac{2-m}{m^2} as a single fraction in its simplest form.
3
Diagram 1 shows a triangle that has a base length of (p + 7) cm and height of (q - 3) cm. Rajah 1 / Diagram 1 Express the area of the triangle in the form of algebraic expression.
4
Given (\frac{2}{3})^n = \frac{81}{16}, find the value of n.
5
Diagram 2 shows triangle PQR. Rajah 2 / Diagram 2 Calculate the distance of PQ.
6
Diagram 3 shows the relationship between set P and set Q. Rajah 3 / Diagram 3 What is the type of relation between set P and set Q?
7
Given 3x^2 + 7x - 6 = 0. Which of the following is the root of given quadratic equation?
8
Working time, t hours varies directly as the cube of the number of workers, p. By using k as a constant, express k in terms of t and p.
9
Aida conducted an experiment. The initial reading of the thermometer recorded by Aida was 26°C. The temperature drops by 12°C then drops again by 14°C. At the end of the reaction, the temperature of the thermometer rises by x°C. If the final reading of the thermometer is 7°C, what is the value of x?
10
Solve. 5 - 8m >= 2 - 3m
11
In Diagram 4, JKLM is a rhombus and NJK is a straight line. Rajah 4 / Diagram 4 Calculate the perimeter of the entire diagram, in cm.
12
Given p and q are conjugate angles. If p = 39°, find the value of q.
13
Diagram 5 shows the distance-time graph of the motion of a truck in a period of t seconds Rajah 5 / Diagram 5 Given the average speed travelled by the truck is 19.67 ms⁻¹. Calculate value of t.
14
The data below shows the distribution of scores obtained by 9 students in a Mathematics test. 78, 68, 70, 63, 66, 53, 72, 52, 62 Determine the third quartile.
15
It is given that a circle has a diameter of 14 cm. Calculate the circumference, in cm, of the circle. Guna / Use $\pi = \frac{22}{7}$
16
What is the meaning of deductible?
17
The distance traveled by a car for the first 45 minutes is 63 km. Calculate the distance, in km, travelled by the car for the next 1.5 hours if the car travels at a uniform speed.
18
Diagram 6 shows a right prism. Rajah 6 / Diagram 6 Which of the following is a possible net of the prism?
19
A box contains a set of letter cards that can form words "INOVASI". One card is drawn from the box at random. Calculate the probability of taking a non-vowel letter.
20
Diagram 7 shows object and scale drawing for a triangle. Rajah 7 / Diagram 7 Determine the scale used in the form of 1: n.
21
Khepek Sdn. Bhd. factory produces 52 thousand packages of sweet potato chips per week. If the factory operates 5 days a week, calculate the number of packets produced each day.
22
Diagram 8 shows a right-angled triangle RST. Rajah 8 / Diagram 8 Given that sin x = \frac{5}{13}. Find the value of tan x.
23
Which of the following is a statement?
24
Ghazali tidies up his clothes rack which has p pieces of long pants and s shorts. The number of long pants exceeds the number of shorts by at least 5 pieces. Represent the situation in a linear inequality.
25
A letter is chosen at random from the word "MADANI". Find the probability of choosing one vowel letter or one letter D.
26
A cloth is randomly selected from a box containing 6 pieces of yellow cloth, 3 pieces of black cloth and 5 pieces of purple cloth. Find the probability that black or purple cloth is chosen.
27
Diagram 9 shows a circle centered at O. JK is a tangent to the circle. Given \angle JML = 46^\circ Rajah 9 / Diagram 9 Calculate the value of x.
28
Diagram 10 on the right shows a right prism with a rectangular base ABCD. M and N are the midpoints of AB and CD respectively. Given FG = EH = DN = AM. Which is not a normal to plane ABCD?
29
Which are the following points is on the straight line y = 3x + 2?
30
Given a sequence 1100_2, 24_5, x, 10010_2. Find the value of x.
31
Diagram 11 is a Venn diagram with the universal set, $\xi=(R \cup S \cup T)$. Rajah 11 / Diagram 11 Given $n(R \cup S)=n(T)$, find the value of $n(S \cup T)$.
32
Which of the following is not the purpose of taxation?
33
The weighted graph in Diagram 12 shows the length of time, in minutes, required to reach 5 destinations, P, Q, R, S and T. Rajah 12 / Diagram 12 Alfateh is in U and wants to meet his friend who is in R. He will pick up his sister who is in T first before heading to his friend's house via the fastest route. Calculate the speed, in kmj ^-1, Alfateh's driving, given that the total distance traveled by Alfateh is 250 km.
34
Khalid is 21 years old and has just started working as an Administrative Assistant. He has listed his long-term and short-term financial goals. Which of Khalid's following financial goals does not meet the SMART concept?
35
Diagram 13 shows the points M, A, B, C and D drawn on a Cartesian plane. The transformation T is a translation $\begin{pmatrix} 2 \\ -3 \end{pmatrix}$. The transformation R is a 90$^{\circ}$ clockwise rotation of the origin. Rajah 13 / Diagram 13 Select the point which is the image of the point M under the TR transformation.
36
Diagram 14 shows a unit circle with angle \theta. Rajah 14 / Diagram 14 Determine the value of tan \theta.
37
Table 1 shows a frequency distribution table which shows the heights of students in a class. Jadual 1 / Table 1 Find the value of x.
38
Given the matrix equation: 5[3p -9] + q[-4 1] = [29 -41] Find the value of 3p + q.
39
The table 2 below shows some values of the variables x, y and z such that z varies directly as y and inversely as the square root of x. Jadual 2 / Table 2 Calculate the value of p.
40
Izzah tossed a ball into the air from a high building. Table 3 below shows the ball's height, h m, at time t seconds. Jadual 3 / Table 3 State the functions involved in the ball toss model made by Izzah.
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