SPM Mathematics 2023 Pahang Trial Kertas 1 – 40 Questions with Answers

What is the value of the digit 7, in base ten, for the number $2753_8$?

A 7 B 56 C 448 D 3584

The length and width of a rectangle are $4.5 \times 10^5$ cm and $2.4 \times 10^4$ cm respectively. Find the perimeter, in cm, of the rectangle. Give your answer in standard form.

A $1.08 \times 10^{10}$ B $4.32 \times 10^{10}$ C $4.98 \times 10^5$ D $9.48 \times 10^5$

Diagram 1 shows the distance-time graph of a runner. Given that the speed of the runner is 5 m s$^{-1}$, state the value of $x$.

A 118 B 110 C 108 D 90

Diagram 2 shows five straight lines drawn on a Cartesian plane. Which of the following is true?

A The equation of QR is $x = -4$. B The equation of PR is $x = 4$. C The gradient of PS is equal to the gradient of QS. D The gradient of PR is zero.

A trader sells three types of products P, Q and R in the ratio $2 : y : 6$. When the data is represented in a pie chart, the sector angle for product R is 240°. State the value of $y$.

A 4 B 3 C 2 D 1

Diagram 3 shows a polygon. Which of the following statements is NOT true about the exterior angles and interior angles of a polygon?

A An interior angle is an angle formed by two adjacent sides inside a polygon. B An exterior angle is an angle formed when one side of a polygon is extended. C Angles $a$, $b$ and $c$ are interior angles. D Angles $x$, $y$ and $z$ are interior angles.

Diagram 4 shows a combination of a right prism with a rectangular base and a right pyramid with a triangular base on a horizontal plane. AD and BC are vertical sides. Which of the following shows the elevation as viewed from X?

Diagram 5 shows a circle with centre O. If the circle is drawn using a scale of $1 : \frac{1}{2}$, find the circumference of the new circle. (Use $\pi = \frac{22}{7}$)

A 1414.29 cm B 188.57 cm C 94.29 cm D 47.14 cm

Diagram 6 shows two circles. QRS is the common tangent to both circles. Given KR = LR, ∠KLR = 65° and ∠PMR = 42°. Calculate the value of $x$.

A 60° B 68° C 80° D 88°

Diagram 7 shows the transformation of a regular polygon. Which transformations represent X and Y, describing the change from Shape I to Shape II and then to Shape III?

A X: Rotation 90° clockwise; Y: Rotation 180° B X: Reflection; Y: Rotation 90° clockwise C X: Rotation 180°; Y: Translation D X: Reflection; Y: Translation

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Pahang Trial 2023 Mathematics Kertas 1

Pahang Trial 2023 Mathematics Kertas 1

Pahang Trial 2023 Mathematics Kertas 1

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