1 State the digit value of the underlined number in base ten. $$\underline{2}243_5$$ flag bookmark A 50 B 100 C 200 D 250 T4 Chapter 2.1a Number Bases: Place Value and Digit Value The underlined 2 is in the \(5^3\) place, so its value is \(2 \times 5^3 = 2 \times 125 = 250\).
2 In year 2025, car sales in Malaysia hit the highest record of 820 743 units from January to November. Calculate the average number of cars sold in a month in base eight. flag bookmark A $221\,565_8$ B $205\,453_8$ C $74\,163_8$ D $65\,365_8$ T4 Chapter 2.1e Solving Problems Involving Number Bases Average monthly sales = 820,743 ÷ 11 = 74,613 in decimal. Converting 74,613 to base 8 gives 221565₈, so A is correct.
3 $\frac{3}{4}n^{-5} =$ flag bookmark A $\frac{3n^5}{4}$ B $\frac{3}{4n^5}$ C $\frac{4n^5}{3}$ D $\frac{4}{3n^5}$ A negative exponent means the base moves to the denominator, so \(n^{-5}=\frac{1}{n^5}\), giving \(\frac{3}{4n^5}\).
4 State the pattern of the sequence 88, 76, 64, 52, 40, 28, … flag bookmark A Add 8 from the previous number B Subtract 8 from the previous number C Add 12 from the previous number D Subtract 12 from the previous number T4 Chapter 3.2e Forming a Strong Inductive Argument Each term is 12 less than the one before it: 88 − 12 = 76, 76 − 12 = 64, and so on.
5 Diagram 5 shows a ball with a sphere shape belonging to Hariz. Calculate the surface area of the ball. Use $\pi = \frac{22}{7}$ flag bookmark A $144\frac{4}{7}$ B $289\frac{1}{7}$ C $1662\frac{4}{7}$ D $6650\frac{2}{7}$ The surface area is \(4\pi r^2\). With diameter 23 cm, \(r = \frac{23}{2}\), so \(4 \times \frac{22}{7} \times \left(\frac{23}{2}\right)^2 = \frac{22}{7} \times 529 = 1662\frac{4}{7}\).
6 Encik Helmy has a monthly salary of RM3 600. His monthly fixed expenses are RM1 775 and his monthly variable expenses are RM1 375. He also sets a fixed savings of 10% of his monthly salary. Calculate Encik Helmy's cash flow. flag bookmark A RM810.00 B RM450.00 C RM180.00 D RM90.00 T4 Chapter 10.1b Evaluating Financial Status and Creating a Financial Plan Cash flow = RM3,600 − (RM1,775 + RM1,375 + RM360) = RM90, so the answer is D.
7 Diagram 7 shows the information about Jannah's house. | | | |---|---| | Estimated Annual Rental | RM18 600 | | Property Assessment Tax Rate | 4% | Calculate the property assessment tax that Jannah has to pay for half a year. flag bookmark A RM 744 B RM 732 C RM 372 D RM 186 T5 Chapter 4.1e Calculating Road Tax, Property Assessment Tax, Quit Rent, and Sales and Service Tax Annual tax is RM18,600 × 4% = RM744. For half a year, pay half of that, which is RM372.
8 Given $4 - \frac{1}{2}x = 4(x - 1)$, find the value of x. flag bookmark A $\frac{16}{9}$ B $\frac{10}{11}$ C $\frac{5}{7}$ D $\frac{9}{5}$ Multiply both sides by 2: \(8 - x = 8x - 8\). Then \(16 = 9x\), so \(x = \frac{16}{9}\).
9 Diagram 9 shows the graph of the quadratic function $f(x) = x^2 - 6x + 5$. Given P is the minimum point of the graph of the function. Determine the coordinate of P. flag bookmark A (2, −4) B (2, −5) C (3, −4) D (3, −5) T4 Chapter 1.1c Shape of the Graph of a Quadratic Function T4 Chapter 1.1d Axis of Symmetry of a Quadratic Function The x-coordinate of the minimum is -b/2a = 6/2 = 3. Substituting x = 3 gives f(3) = 9 - 18 + 5 = -4, so P is (3, -4).
10 Diagram 10 shows Zainab's car colliding with Raju's motorcycle in an accident. Raju suffers serious injuries while Zainab sustains minor injuries. Both vehicles were damaged. Based on the situation above, determine the claim that can be made by Zainab to her insurance company if her car insured under the third party policy. flag bookmark A The medical expenses of Zainab only B The medical expenses of Raju only C The medical expenses of Raju and the cost of repairing Raju's motorcycle D The cost of repairing Zainab's car, the medical expenses of Raju and the cost of repairing Raju's motorcycle T5 Chapter 3.1a Risk, Insurance, Life Insurance and General Insurance A third-party policy covers injury to others and damage to their property, but not the insured's own car. Thus, Zainab can claim Raju's medical expenses and motorcycle repair costs.