Putrajaya Trial 2023 Matematik Kertas 1

Matematik

Putrajaya Trial 2023 Matematik Kertas 1

• Percubaan Putrajaya · 2023
• 40 soalan

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2026-10-29

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1

Express 395 000 in standard form.

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A $3.95 \times 10^4$ B $3.95 \times 10^5$ C $39.5 \times 10^4$ D $39.5 \times 10^5$

2

$0.000034 - 2.2 \times 10^{-6} =$

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A $3.18 \times 10^{-6}$ B $3.18 \times 10^{-5}$ C $3.18 \times 10^5$ D $3.18 \times 10^6$

3

The total population of a country Y in the year 2011 is 49.50 million. It is given that the number of people who are 60 years old and above is 9.9% of the total population. Calculate the number of people who are below 60 years old. [1 million = $10^6$]

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A $4.46 \times 10^6$ B $4.46 \times 10^7$ C $4.9 \times 10^6$ D $4.9 \times 10^7$

4

Convert $3 \times 8^4 + 2 \times 8^2 + 5$ to a number in base eight.

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A $3025_8$ B $3250_8$ C $30205_8$ D $30250_8$

T4 Chapter 2.1c Converting Numbers from One Base to Another

5

$10011_2 + 111_2 =$

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A $10010_2$ B $10100_2$ C $10110_2$ D $11010_2$

T4 Chapter 2.1d Addition and Subtraction of Numbers in Various Bases

6

In Diagram 1, PQUV is part of an 8-sided regular polygon. PQR is a straight line. The value of $x$ is

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A 120 B 135 C 145 D 150

7

In Diagram 2, JKL is a tangent to the circle with centre O at point K. Find the value of $x + y$.

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A 122 B 151 C 212 D 273

8

In Diagram 3, XYZ is a right-angled triangle and XY = 5 cm, YZ = 4 cm. Find the length of XZ, in cm. Express your answer correct to 4 significant figures.

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A 3 B 6.400 C 6.403 D 6.4031

9

Diagram 4 shows five quadrilaterals drawn on a grid of squares. Which of the quadrilaterals, A, B, C or D, is the image of quadrilateral G under an anticlockwise rotation of 90° about the centre P?

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A A B B C C D D

T5 Chapter 5.3a Combined Transformation: Determining the Image and Object

10

Diagram 5 shows two quadrilaterals, PQRS and KLMN, drawn on a grid of equal squares. KLMN is the image of PQRS under an enlargement with centre O. Find the scale factor of the enlargement.

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A $\frac{1}{2}$ B $\frac{1}{3}$ C $2$ D $3$

T5 Chapter 5.2b Enlargement: Meaning, Scale Factor and Centre of Enlargement

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