1 Which of the following is true? flag bookmark A $\sqrt[3]{216} < \sqrt{81}$ B $\sqrt{144} < \sqrt[3]{216}$ C $\sqrt{144} < \sqrt[3]{343}$ D $\sqrt[3]{343} < \sqrt{81}$ ∛216 = 6 < 9 = √81, so A is true. Also ∛343 = 7 < 9 = √81, so D is true.
2 Ali has a Rubik's cube as shown in Diagram 1. The volume of the Rubik's cube is 512 cm³. Calculate the total surface area, in cm², of the Rubik's cube. flag bookmark A 96 B 192 C 320 D 384 The cube's edge is 8 cm since 8³ = 512, so its total surface area is 6 × 8² = 384 cm².
3 Express 0.0000197 in standard form. flag bookmark A $1.97 \times 10^{-5}$ B $1.97 \times 10^{-4}$ C $1.97 \times 10^{4}$ D $1.97 \times 10^{5}$ Move the decimal point 5 places to the right to get 1.97, so the power of 10 is \(10^{-5}\).
4 Express $5(5^3 + 2 + 5^2)$ in base five. flag bookmark A $11200_5$ B $11020_5$ C $10120_5$ D $10102_5$ T4 Chapter 2.1a Number Bases: Place Value and Digit Value Distribute the 5 to get \(5^4 + 2\cdot5 + 5^3\), giving one \(5^4\), one \(5^3\), no \(5^2\), two \(5\)'s, and no units, so the base-five form is \(11020_5\).
5 A wire with a length of $120_9$ cm is formed into a triangle PQR. Given the lengths of the sides $PQ = 34_9$ cm and $QR = 52_9$ cm. Calculate the length of side PR in base nine. flag bookmark A $10_9$ B $11_9$ C $23_9$ D $33_9$ T4 Chapter 2.1d Addition and Subtraction of Numbers in Various Bases PR = 120₉ − 34₉ − 52₉. In base nine, 120₉ − 34₉ = 75₉, then 75₉ − 52₉ = 23₉.
6 Simplify: $$\frac{4x^2}{y - 1} \times \frac{y^2 - 1}{24xy}$$ flag bookmark A $\dfrac{x(y + 1)}{6y}$ B $\dfrac{x(y - 1)}{6y}$ C $\dfrac{x^2(y + 1)}{12xy}$ D $\dfrac{x^2(y - 1)}{12xy}$ Factor \(y^2-1\) as \((y-1)(y+1)\), cancel the \((y-1)\) terms, then simplify \(\frac{4x^2(y+1)}{24xy}\) to \(\frac{x(y+1)}{6y}\).
7 Table 1 shows the summary of Puan Zaiton's financial plan. | | | |---|---| | Active income | RM3 400 | | Passive income | RM700 | | Fixed monthly saving | RM200 | | Fixed expenses | …… | | Variable expenses | RM1 000 | Puan Zaiton wants to buy a new sofa for her home. She plans to save RM7 200 in one year. Calculate the maximum amount of fixed expenses for Puan Zaiton if she wants to achieve the goal. flag bookmark A RM600 B RM800 C RM2 300 D RM2 900 T4 Chapter 10.1b Evaluating Financial Status and Creating a Financial Plan Maximum fixed expenses = RM3,400 + RM700 − RM1,000 − RM200 − RM600 = RM2,300, since she needs to save RM600 per month to reach RM7,200 in a year.
8 Table 2 shows the types of insurance and what they cover. | | Type of insurance | Coverage | |:---:|---|---| | I | Life insurance | Covers loss or damage to a motor vehicle for a lifetime. | | II | Fire insurance | Provides coverage against damage caused by fire, lightning and explosion. | | III | Personal accident insurance | Covers the policyholder against an accident that causes injury or even death. | | IV | Medical and health insurance | Protects the policyholder from certain risks when travelling. | Which of the following is the correct match? flag bookmark A I and II B II and III C I, II and III D I, II, III and IV T5 Chapter 3.1a Risk, Insurance, Life Insurance and General Insurance Fire insurance correctly covers fire, lightning and explosion; personal accident insurance correctly covers injury or death from accidents. Life insurance and medical insurance descriptions are wrong.
9 Diagram 2 shows a right-angled triangle. Given the length of PR is 15 cm. Which of the following quadratic equations represents the relationship between the sides of triangle PQR? flag bookmark A $2x^2 - 10x + 8 = 0$ B $2x^2 - 10x - 227 = 0$ C $5x^2 - 34x + 65 = 0$ D $5x^2 - 34x - 160 = 0$ T4 Chapter 1.1f Forming a Quadratic Function or Equation Based on a Situation Using Pythagoras' theorem: (x−1)² + (2x−8)² = 15². Expanding and simplifying gives 5x² − 34x − 160 = 0.
10 Which of the following has a value of 16? flag bookmark A $2^0 \times 2^8$ B $2^0 \times 2^4$ C $2^5 \div 2^2$ D $2^3 \div 2^1$ \(2^0 = 1\), so \(1 \times 2^4 = 16\).