SMJK KATHOLIK PETALING JAYA, SELANGOR
PENTAKSIRAN SUMATIF TAHUN 2021
MATEMATIK KERTAS 1
Tingkatan 3
Disediakan oleh : Pn. Rosmawati Bt Mat Zuki,
Disemak oleh : Pn.Nur Elyana Bt Ab Aziz
Masa: 1 jam
INSTRUCTIONS:
1. This questions paper contains section A and section B.
2. Answer all questions.
3. The diagrams in the questions provided are not drawn to scale unless stated.
4. A list of formulae is provided after the questions.
5. You may use a non-programmable scientific calculator.
6. Choose the best option for each question then fill the answers in google form
Section A [20 marks]
Answers all the equations.
1. Round off 44 550 to 3 significant figures.
A. 44 500
B. 44 550
C. 44 600
D. 44 700
2.Calculate (500 − 754) × (−39)
A. −28 906
B. −293
C. 9906
D. 48906
6. Ali's age is double of his brother's age.
His brother's age is square root of his
father's age. His father's age is a perfect
square between 60 and 80. Find Ali's age.
A. 4
C. 8
B.12
D. 16
7. Find the value of 𝒙 in the diagram 1
3. The distance of Uranus from the Sun is
2.87 × 109 km. If the speed of light is3 ×
108 𝑚𝑠 −1. How long, in seconds, does it take
the light to travel from the Sun to Uranus?
A. 95.7 × 10−3 s
C. 95.7 × 103 s
B. 9.57 × 10−3 s
D. 9.57 × 103 s
4. Given 𝑚2 + 𝑛2 = 512 and 𝑚𝑛 = 78.
Find the value of (𝑚 + 𝑛)2 .
A. 674
B. 668
Diagram 1
A. 55°
B. 60°
C. 65°
D. 70°
8. Which of the following does not
shows an isometric transformation?
C. 670
D. 660
5. A cube has side of 𝑛 cm. Express the total
surface area A, of the cube in terms of 𝑛.
A. 𝐴 = 𝑛³
B. 𝐴 = 𝑛²
C. 𝐴 = 6𝑛³
D. 𝐴 = 6𝑛²
1
9. Which of the following number line that
satisfies linear inequalities 2𝑥 ≥ 10 and
2𝑥 – 4 < 12 ?
13. In diagram 4, PQRS is a square and TSRU
is a straight line.
Diagram 4
The area of the whole diagram is 266 𝑐𝑚²
Calculate the length, in 𝑐𝑚, of TU.
10. Diagram 2 shows a number sequence.
Diagram 2
A. 10
C. 24
B. 14
D. 30
14. Diagram 5 shows two semicircles of
equal size, which touch each other.
They also touch the sides of the
rectangle.
Determine the value of 𝑚.
A.
B.
32
30
C. 29
D. 28
11. Diagram 3, shows a full cylinder
containing 1100 𝑐𝑚³ of water. If the
radius of the cylinder is 5 𝑐𝑚
Diagram 5
Calculate the area, in 𝑐𝑚², of the shaded
region. [𝑢𝑠𝑒 𝜋 =
22
]
7
A. 168
B. 476
15.
C. 696
D. 896
Table 1 shows four types of favourite
drinks of a group of students.
Diagram 3
Favourite drinks
Tea
Coffee
Calculate the height of the cylinder.
[𝒖𝒔𝒆 𝝅 =
𝟐𝟐
]
𝟕
A. 5
B. 7
Frequency
30
19
Chocolate
Barley
C. 10
D. 14
25
𝒎
Table 1
2
12. Express 30𝑦 − 3𝑦 − 6 in its simplest
form.
A. (6𝑦 − 3)(5𝑦 + 2)
B. 3(2𝑦 + 1)(5𝑦 − 2)
C. (15𝑦 + 6)(2𝑦 − 1)
D. 3(2𝑦 − 1)(5𝑦 + 2)
Given that, the mode of the favourite drinks is
chocolate. Find the maximum value of 𝒎.
A. 26
B. 29
C. 30
D. 31
2
16. Simplify (𝑝3 𝑞 5 )² ÷ 𝑝2 𝑞
A. 𝑝4 𝑞 6
B. 𝑝4 𝑞 9
19. At the start of the year, Alice saved
RM18000 into her saving account with a rate of
4.4% per annum and compounded every 6
months. Calculate his total savings at the end
of the second’s year.
C. 𝑝8 𝑞 9
D. 𝑝8 𝑞11
17. John used RM12 000 to buy unit trust Q.
After 1 year, he sold all the unit trust for RM13
200. Within a year, he received dividend of
RM300 twice. Calculate the return on
investment for John.
A. 15%
C. 20%
B. 18%
D. 22%
A. RM19 308.25
B. RM19 584.00
20.
in
1
4
C. RM19 637.04
D. RM20 105.08
A boat accelerates from 16 𝑚/𝑠 to 𝑣 𝑚/𝑠
minutes. If its acceleration is 0.8 𝑚/𝑠²,
calculate the value of 𝑣.
A. 4
B. 20
18. Diagram 6 shows the universal set, ξ and
set Q.
C. 25
D. 28
Diagram 6
Find the value of 𝑛(𝑄 ′ )
A. 5
B. 6
C. 7
D. 8
SECTION B (20 marks)
Answers all the equations
21. Name the three-dimensional shape formed from each of the following nets.
(a)
[2 marks]
(b)
3
(c) Diagram 7 shows a circle with centre 0.
[1 mark]
Diagram 7
Name the shaded region.
Answer: _____________________________
(d) Fill in the empty box with the correct answer in the answer space.
[1 mark]
Answer:
(e) The diagram 8 is drawn on a square grid. Which of the figure, A, B, C and D is the scale
drawing of figure R according to the scale 𝟏:
𝟏
𝟐
?
[1 mark]
Diagram 8
4
22. Diagram 9 shows four straight lines on a Cartesian plane.
Diagram 9
Based on the straight lines on the Diagram 7, state the straight line, which has the following
gradient value.
[2 marks]
Answer:
(a)
Negative gradient value
(b)
Positive gradient value
(c) Diagram 10 shows a rectangle.
[1 marks]
Diagram 10
The perimeter of the rectangle is 21 cm. True or False?
Answer: ___________________________
(d) Write TRUE for true statement and FALSE for false statement.
[2 marks]
Answer:
Statement
TRUE / FALSE
𝑟 6
) = 𝑘18 , then 𝑟 = 3
(i)
If (𝑘
(ii)
𝑦15 ÷ 𝑦 5 = 𝑦 3
5
23. (a) State prime factor of 36
[2 marks]
Answer:
1
4
12
2
6
18
3
9
36
(b) In diagram 10, 𝑷𝑶𝑸 and 𝑹𝑶𝑺 are straight lines
[3 marks]
Diagram 10
50°
60°
110°
130°
A
B
C
D
Based on the given angle state the value angle 𝒙 , 𝒚 and 𝒛
Answers:
(i) 𝑥 =_________
(ii) 𝑦 =__________
(iii) 𝑧 =___________
24. In the answer space, choose 𝑨, 𝑩, 𝑪 or 𝑫 which represent each of the number lines. [4 marks]
6
Answer:
(e) Choose for true statement regarding advantages of credit card
A
Do not have to carry a lot of cash
B
Can spend without limits
[1 mark]
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