Others Trial 2024 Mathematics Kertas 1 · SBP

Mathematics

Others Trial 2024 Mathematics Kertas 1 · SBP

• Trial SBP
• 40 questions
• With explanations

1

Calculate the product of 0.1987 and 0.3. Round off the answer correct to two significant figures.

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A 0.05 B 0.059 C 0.06 D 0.060

2

Given that $100706_8 = p(8^5) + 7(8^q) + 6(8^r)$. Which of the following are the correct values of $p$, $q$ and $r$?

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A $p = 1,\ q = 2,\ r = 0$ B $p = 5,\ q = 3,\ r = 1$ C $p = 1,\ q = 3,\ r = 1$ D $p = 5,\ q = 2,\ r = 0$

T4 Chapter 2.1b Determining the Number Value of a Number in Various Bases

3

$$\frac{0.0000086 - 2.4 \times 10^{-7}}{0.03} =$$

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A $2.864 \times 10^{-4}$ B $2.787 \times 10^{-4}$ C $2.859 \times 10^{-3}$ D $2.866 \times 10^{-3}$

4

Given that $R(-12, 0)$ and $S$ is located on the $y$-axis, 16 units below the $x$-axis. State the midpoint of the straight line $RS$.

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A $(-6, 8)$ B $(-6, -8)$ C $(6, -8)$ D $(6, 8)$

5

Diagram 1 shows two circles with centres $O$ and $V$ respectively. $PQRS$ is a common tangent to both circles. Calculate the value of $x + y$.

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A 139° B 149° C 152° D 154°

6

Diagram 2 shows four congruent polygons, $J$, $K$, $L$ and $M$, under a rotation about the centre $O$. Which of the following is the correct rotation pair?

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A Object $J$, 90° anticlockwise, image $K$ B Object $M$, 90° anticlockwise, image $J$ C Object $L$, 270° clockwise, image $M$ D Object $K$, 270° clockwise, image $J$

7

Given that the areas of the object and the image under an enlargement are 63 cm$^2$ and 7 cm$^2$ respectively. Calculate the scale factor of the enlargement.

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A $\frac{1}{9}$ B $\frac{1}{3}$ C 3 D 9

T5 Chapter 5.2d Relation Between Area of Image and Area of Object Under Enlargement

8

Diagram 3 shows two triangles $PQR$ and $JKT$. Which of the following is correct if triangles $PQR$ and $JKT$ are congruent?

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A $\angle PQR = \angle JTK$ B $\angle PQR = \angle TJK$ C $\angle PRQ = \angle JTK$ D $\angle PRQ = \angle TJK$

T5 Chapter 5.1a Congruency and the Properties of Triangle Congruency

9

A quadratic function $f(x) = ax^2 + bx + c$, where $a < 0$, passes through $(4, 0)$ and $(-6, 0)$. State the equation of the quadratic function $f(x)$.

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A $f(x) = -x^2 - 2x - 24$ B $f(x) = -x^2 + 2x + 24$ C $f(x) = -x^2 - 2x + 24$ D $f(x) = -x^2 + 2x - 24$

T4 Chapter 1.1g Roots of a Quadratic Equation

10

Given that $$3^2 p^6 q^x \times \left(\frac{p^{-5} q^4}{p^3}\right) = \frac{9}{p^y q^3}$$ Calculate the value of $x$ and of $y$.

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A $x = -7,\ y = 4$ B $x = -7,\ y = 2$ C $x = 1,\ y = -4$ D $x = 7,\ y = -2$

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