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Johor Trial 2024 Mathematics Kertas 1 · Muar

1
What the appropriate value placed in the box below? 5.05 + \frac{2}{5} x (-3.5) = [ ] x 2.4
2
Which of the following is true regarding the perfect square root?
3
Table 1 shows the ratio of scores obtained by Group P and Group Q in a quiz competition. | Group P score ratio | Group Q score ratio | | Cheng : Rahimi : Hussin | Nureen : Bala : Shanthy | | 5 : 4 : 7 | 3 : 2 : 1 | Table 1 The total score of Group P is 144 while the total score of Group Q is 168. Find the sum of the scores of Rahimi and Nureen.
4
Round off 0.060541 correct to three significant figures.
5
Express 3.18 x 10^-2 as a single number.
6
Diagram 1 shows the line PQ on a Cartesian plane. Diagram 1 Given that gradient of the straight-line PQ is -\frac{3}{2}. Find the x- intercept.
7
Table 2 below shows the values of function y = -x^2 + 6x - 5. | x | -2 | -1 | 0 | 0.5 | 1 | 1.5 | 2.5 | |---|---|---|---|---|---|---|---| | y | -13 | -10 | -5 | m | 2 | 6.25 | n | Table 2 Calculate value of m and n.
8
In Diagram 2, PQRST is a regular pentagon, RSU and RPV are straight lines. Diagram 2 Find the value of r.
9
Diagram 3 shows a set of 15 cards. Diagram 3 A cards is chosen at random. Find the probability that the number chose is a prime number.
10
Table 3 shows the scores obtained in one competition. | Score | 0 | 1 | 2 | 3 | 4 | 5 | |---|---|---|---|---|---|---| | Frequency | 3 | 4 | 7 | 6 | x | 2 | Table 3 Given that the median is 3. Which of the following is a possible value for x ?
11
Diagram 4 shows a circle with centre O. Diagram 4 Calculate the value of x.
12
Diagram 5 shows the square PQRS. X and Y are the two points that move in the square. Locus X is a constantly moving point where the distance is equal from PQ and SR. Locus Y is a point that is constantly moving and is the same distance from the point S. Diagram 5 Which of the points A, B, C and D, is the point of intersection of locus of X and Y?
13
Which of the following has the smallest value?
14
Rizman deposits RM6500 in a bank which pays a simple interest rate of x% per annum. The total saving of Rizman at the end of the fourth years is RM7410. Calculate the value of x.
15
Simplify (m^2n)^4 \div m^2n
16
Kevin wants to buy life insurance with a face value of RM150 000. The annual premium rate for every RM1 000 face value offered to Kevin is RM 2.12. How much monthly premium does Kevin have to pay?
17
Table 4 shows the road tax rate for a car. | Engine capacity | Basic rate | Progressive rate | | 1 801 cc – 2 000 cc | RM280.00 | + RM0.50 for every cc over 1800 cc | | 2 001 cc – 2 500 cc | RM380.00 | + RM1.00 for every cc over 2000 cc | Table 4 If Encik Othman has a car with an engine capacity of 1950 cc, calculate the road tax he has to pay.
18
Given that P varies inversely with the square of Q and directly with the square root of R. Find the relationship between P, Q and R.
19
Table 5 shows the time required to complete one worksheet, m and the number of student n. | m | n | |---|---| | 18 | 2 | | x | 3 | Table 5 Given that m varies inversely with the square of the number of students, n. Find the value of x.
20
Complete the addition of the following matrices. \begin{pmatrix} 6 & 0 \\ 3 & 2 \\ -2 & -5 \end{pmatrix} + \begin{pmatrix} 4 & 0 \\ 3 & 2 \\ -2 & -5 \end{pmatrix}
21
If p \begin{pmatrix} 8 \\ 3 \end{pmatrix} - 2 \begin{pmatrix} 0 \\ 6 \end{pmatrix} = 2 \begin{pmatrix} 4p \\ -3 \end{pmatrix}. Find the value of p.
22
Diagram 6 showns a straight line GH drawn in a Cartesian plane. Diagram 6 Determine the inequality that represent the shaded region.
23
Given that 16^(2x+3) = 64^(4x-6). Calculate the value of x.
24
Diagram 7 shows a tessellation consisting of pentagon which are produced by isometric transformation. Diagram 7 What is the transformation involve to produce shape Q from shape P?
25
Diagram 8 shows part of the graph of the function y = 3 cos 2x for x \geq 0^\circ. Diagram 8 Find the coordinates of point P.
26
Diagram 9 shows two right angled triangles PQS and PRS. PQRT is a straight line. Diagram 9 Given QR = 7 cm and cos y = \frac{20}{29}. Determine the value of tan x.
27
Given that 2p - 6q = \frac{4+pq}{3}, Express q in term of p.
28
A box have seven books. The mean mass of a book is 1.6kg. A book with a mass 1.92kg is added into the box. Calculate the new mean mass in kg of a book.
29
The following information shows a set of data. 3, 3, 6, 4, 5, 9, 7 Each value in the set of data is reduced by 2. Which of the following will change its value?
30
Diagram 10 shows box P and box Q contain of four card labelled with numbers and three cards labelled with letters respectively. Diagram 10 A card is randomly selected from boxes P and Q squares respectively. Calculate the probability of getting a factor of 27 and vowel.
31
Simplify: \frac{m-4}{2m} - \frac{m-2p}{mp}
32
Diagram 11 below shows a simple graph. Diagram 11 Calculate the degree of simple graph above.
33
Diagram 12 shows points J, K, L, M and N are five stations for a commuter crossing network. The weights shown on the edges represent the distance in km between two stations. Diagram 12 Find the longest distance in km from station K to station M.
34
Which of the following sentences is a true statement?
35
The information below shows an implication. > If 4x + 5 = 21, then x = 4 Which of the following is the antecedent for the implication above?
36
Diagram 13 shows a straight line AB on a Cartesian plane. Diagram 13 Calculate the distance AB.
37
Given set P = {x: x is a factor of 14} and set Q={x: x is prime numbers less than 10}. List all the elements of P \cap Q.
38
Diagram 14 shows a Venn diagram representing the number of members of the three sports clubs. A = {Badminton club members}, B = {Volleyball club members} and C = {Tennis club members}. Diagram 14 Given that the number of badminton club members is \frac{1}{3} of the number of volleyball club members. Calculate the number of tennis club members only.
39
Diagram 15 shows the speed-time graph the motion of a motorcycle for a period of 50 seconds. Diagram 15 Calculate the motion in m for the first 20 seconds.
40
Diagram 16 shows a graph for a quadratic function. Diagram 16 State the axis of symmetry of equation for graph quadratic function.
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