1 Calculate the sum of the prime factors of 60. flag bookmark A 10 B 11 C 12 D 13 Prime factors of 60 are 2, 3, and 5; their sum is 2 + 3 + 5 = 10.
2 Which of the following is the pattern of the number sequence −1, 2, 5, 8, …? flag bookmark A $3n + 4,\ n = 0, 1, 2, 3, \ldots$ B $3n + 4,\ n = 1, 2, 3, 4, \ldots$ C $3n - 4,\ n = 0, 1, 2, 3, \ldots$ D $3n - 4,\ n = 1, 2, 3, 4, \ldots$ T4 Chapter 3.2e Forming a Strong Inductive Argument Each term increases by 3, so the pattern is \(3n-4\). With \(n=1,2,3,4,\dots\), it gives \(-1,2,5,8,\dots\).
3 Diagram 1 shows a right-angled triangle PQR. Given the area of the triangle is 4.288 cm². Calculate the length of the base, in cm, of the triangle and round off your answer correct to two significant figures. flag bookmark A 1.3 B 1.34 C 2.68 D 2.7 T5 Chapter 6.1d Solving Problems Involving Sine, Cosine and Tangent Area = ½ × base × height, so base = 2(4.288) ÷ 3.2 = 2.68 cm. Rounded to two significant figures, this is 2.7 cm.
4 Express $5^4 + 5^3 + 5^1 + 1$ as a number in base five. flag bookmark A $11010_5$ B $11011_5$ C $4310_5$ D $43010_5$ T4 Chapter 2.1a Number Bases: Place Value and Digit Value The digits are the coefficients of \(5^4,5^3,5^2,5^1,5^0\): \(1,1,0,1,1\), so the base-five form is \(11011_5\).
5 Khairul wants to give a designer handbag that costs RM1 500 to his mother. He plans to purchase the handbag in six months by setting a target to save 10% of his monthly salary of RM2 500. Choose the SMART component that matches Khairul's financial goal. flag bookmark A Available B Acquirable C Acceptable D Attainable T4 Chapter 10.1a The Financial Management Process and Setting SMART Financial Goals Saving RM250 monthly (10% of RM2 500) for six months gives exactly RM1 500, so the goal is realistic and achievable, which matches the SMART component Attainable.
6 Table 1 shows the fire insurance information purchased by Harith. | | | |---|---| | Insurable value | RM313 400 | | Amount of required insurance | 75% of the insurable value | | Amount of insurance purchased by Harith | RM200 000 | | Deductible | RM5 000 | Harith's house caught on fire and suffered a total loss. Calculate, in RM, the loss borne by Harith. flag bookmark A 40 050 B 83 350 C 118 400 D 195 000 T5 Chapter 3.1c Solving Problems Involving Deductible and Co-insurance Required insurance is 75% × RM313 400 = RM235 050, but Harith bought only RM200 000, so the maximum payable is RM200 000. After the RM5 000 deductible, the insurer pays RM195 000, so Harith bears RM313 400 − RM195 000 = RM118 400.
7 Table 2 shows the prices of food and beverages ordered by Kamelia and her friend. | Food and beverages | Quantity | Price (RM) | |---|:---:|:---:| | Nasi lemak | 1 | 7.50 / plate | | Fried noodles | 1 | 6.50 / plate | | Coffee | 2 | 3.20 / cup | Given that the service tax charged is 6%. Calculate, in RM, their bill. flag bookmark A 18.23 B 19.18 C 20.40 D 21.62 T5 Chapter 4.1e Calculating Road Tax, Property Assessment Tax, Quit Rent, and Sales and Service Tax Total food cost is 7.50 + 6.50 + (2 × 3.20) = RM20.40. Adding 6% service tax gives RM20.40 × 1.06 = RM21.62.
8 Given $p : q : r = 7 : 9 : 11$ and $r - p = 36$. Calculate the value of $q$. flag bookmark A 18 B 63 C 81 D 99 Each part is \(36 \div (11-7)=9\). So \(q=9 \times 9=81\).
9 In a quiz competition, participants are awarded $r$ marks for each correct answer and penalised $s$ marks for each incorrect answer. In the final marks calculation, participants will receive a bonus of $x$ marks for every 7 correct answers, and a deduction of $y$ marks for every 3 incorrect answers. If Noura answered 15 questions correctly and 10 questions incorrectly, determine the algebraic expression that represents her total marks. flag bookmark A $15r - 10s + 3x - 7y$ B $15r - 10s + 2x - 3y$ C $15r - 10s + 7x - 3y$ D $15r - 10s + 3x - 2y$ 15 correct gives \(15r\), 10 incorrect gives \(-10s\). Since \(15 \div 7 = 2\) full groups, bonus is \(2x\); since \(10 \div 3 = 3\) full groups, deduction is \(3y\). So total is \(15r - 10s + 2x - 3y\).
10 Simplify $$\frac{7x}{6} - \frac{5y}{9x}$$ flag bookmark A $\dfrac{63x^2 - 30y}{18x}$ B $\dfrac{63x^2 - 10y}{18x}$ C $\dfrac{21x^2 - 30y}{18x}$ D $\dfrac{21x^2 - 10y}{18x}$ Use the common denominator \(18x\): \(\frac{7x}{6} = \frac{21x^2}{18x}\) and \(\frac{5y}{9x} = \frac{10y}{18x}\), giving \(\frac{21x^2 - 10y}{18x}\).