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Others Trial 2022 Mathematics Kertas 1 · SBP

1
Round off 0.05675 correct to three significant figures.
2
345_7 + 126_7 = ________7
3
Sarah's marks for Physics, Chemistry and Biology are 126_8, 85 and 1010100_2 respectively. Calculate the average score for all three subjects.
4
Diagram 1 shows three regular polygons, JKLMNP, PNQRS and JVWXK. PTUJ is a trapezium. Calculate the angle of ∠SPT.
5
Diagram 2 shows two circles that touch at point V. QVW and UVR are straight lines. PS is the common tangent of the two circles at Q and R respectively. Calculate the value of x + y.
6
Diagram 3 shows coordinate V(2,3) drawn on a Cartesian plane. Which of the following is the image of point V under reflection on the line y=-x?
7
Diagram 4 shows two congruent triangles, RTS and KLM. Calculate the value of x.
8
Diagram 5 shows a regular hexagon with centre O. Which of the points A, B, C and D, is the image of triangle K under a rotation 240° anticlockwise at centre O?
9
Determine the maximum point for the quadratic function f(x) = -x^2 + 2x + 15.
10
\frac{m^5 \times (81k^6)^{\frac{1}{2}}}{3\sqrt{m^2k^8}} =
11
Zainal has a water tank which measures 1.2 m in length, 0.6 m in width and 0.5 m in height. He filled water into the tank at 0730 hours, with rate of 2.4 litres per minute. What time will the water tank full? (1 l = 1 000 cm^3)
12
Diagram 6 shows two isosceles triangles, KLM and PQR. MRS is a line of symmetry and R is the midpoint of MS. Find the length, in cm, PR.
13
Diagram 7 shows a Venn diagram with the universal set \xi, set P, set R and set N. Which of the following represents the shaded region?
14
Diagram 8 shows universal set \xi, set K, set P and set T with incomplete number of elements. Given n(K') = n(T \cap P'), find n(P).
15
Given V={J, K, L, M, N} and E={(J,K), (K,L), (K,L), (K,N), (L,L), (L,N), (M,N), (J,N)}. Which of the following graphs represents the given information?
16
Diagram 9 shows the weighted graph of six houses in a village. A meter reader needs to visit all the houses starting from house K to house Q. Calculate the shortest distance, in km.
17
Diagram 10 shows some loads on the two scales. Given p < x < q. Determine the value of p and q.
18
Munirah wants to participate in a math quiz competition at the international level. In a qualifying test, the minimum score for Munirah to participate in the quiz is 80% of the full score, x. Munirah obtained y marks and qualify to participate in the quiz. What is the linear inequality that satisfies the above situation?
19
Point (4, s) lies on the straight line \frac{x}{2} + \frac{y}{7} = 1. Determine the value of s.
20
Given that \frac{5n-3}{2} = 4-(2-n), find the value of n.
21
Express \frac{1}{p-q} - \frac{3p}{p^2-q^2} as a single fraction in its simplest form.
22
Given that \frac{m-2}{m+1}=n-3, express m in terms of n.
23
### Time taken by participants | Batang Stem | Daun Leaf | |---|---| | 13 | 55 56 57 58 58 58 59 | | 14 | 10 14 22 25 29 30 35 45 | | 15 | 03 05 11 13 13 | Key : 13|48 means 13.48 seconds Calculate the percentage of participants who qualifies to the next round if the qualifying time is less than 14.30 seconds.
24
Mean mass for a group of 10 pupils is 55 kg. Two new pupils join the group and the new mean mass is 61.5 kg. Calculate the total mass of the new two pupils.
25
Diagram 11 shows ogive of the masses in g, of 80 apples. Calculate the interquartile range for the mass distribution.
26
### Table 1 | Skor | 0 | 1 | 2 | 3 | 4 | 5 | | Score | | | | | | | | Bilangan murid | 1 | 3 | 2 | 10 | x | 11 | | Number of students | | | | | | | If the quiz median score is 3, find the maximum value of x.
27
A motorcycle moves at a speed of 80 kmh⁻¹. Then, the motorcycle decreases its speed by 20% in 50 seconds. Calculate the deceleration, in kmh⁻¹ per minute, of the motorcycle.
28
Diagram 12 shows a speed-time graph of a school van for the period of 37 minutes. Calculate the total distance, in km, by a school van for the last 27 minutes.
29
Which table represents the relation of y \propto x^3?
30
Given that P varies directly as Q and inversely as R. If P = 0.9 when Q = 18 and R = 5, calculate the percentage of the change of P when Q increases by 10% and R decrease by 20%.
31
Diagram 13 shows the elements in a universal set. Calculate the probability of complement of M.
32
Which of the following is a mutually exclusive event?
33
Given that, S = [[6, -1, 2, 0], [4, 1, -5, 7], [9, 0, -15, 3], [16, 8, 6, 10]] Which of the following is correct?
34
Given (2p 4 p) -2 \begin{pmatrix} 4 \\ 3 \end{pmatrix} = (26), determine the value of p.
35
Diagram 14 shows a cosine graph. Which of the following is the correct equation of the graph.
36
Diagram 15 shows a line POQ is drawn on a Cartesian plane. Determine the value of sin \theta - \cos \theta.
37
On 1 January 2021, Puan Zakiah invested in Amanah Saham Warisan (ASW) of 5000 units worth RM2.50 per unit. For the financial year ending on 31 December 2021, ASW pays a dividend of 5%. On 1 January 2022 Puan Zakiah sold all the shares she owned at a price of RM2.80 per unit. Calculate the value of Puan Zakiah's investment return.
38
Mr. Razman owns a mini market shop that sells various groceries. Which of the following is a risk that can be insured by him. I Burglary in the premise II The business suffered a loss III The shop building was on fire IV Foreign workers fled
39
Mrs. Haida owns a one-story terraced house in Alor Setar, Kedah. The property assessment tax set by Alor Setar Municipal Council is 6% per year. Given the rental rate of the terrace house is RM900 per month. Calculate the amount of property assessment tax payable by Puan Haida for the first half of the year.
40
Which of the following statement is NOT related to the processes involved in mathematical modeling?
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