1 Round off 53 094 correct to four significant figures. flag bookmark A 53 000 B 53 090 C 53 094 D 53 100 The first four significant figures are 5, 3, 0, 9; the next digit is 4 (less than 5), so round down: 53 090.
2 Puan Maria packed 25 kg of sweets for her daughter's wedding. All the sweets were put into 200 small containers and given to the guests. Calculate the average mass, in g, of sweets in each container. flag bookmark A $8 \times 10^{-3}$ B $1.25 \times 10^{-2}$ C $1.25 \times 10^2$ D $8 \times 10^3$ 25 kg = 25 000 g. $25\,000 \div 200 = 125$ g $= 1.25 \times 10^2$ g.
3 Simplify $(5m^{-2}n^3)^2 \div 5m^{-5}n$. flag bookmark A $mn^5$ B $m^3n^4$ C $5mn^5$ D $5m^{-9}n^7$ $(5m^{-2}n^3)^2 = 25m^{-4}n^6$. Then $25m^{-4}n^6 \div 5m^{-5}n = 5m^{-4 - (-5)}n^{6 - 1} = 5mn^5$.
4 $1, 4, 5, 9, 14, s$ Find the value of $s$. flag bookmark A 6 B 17 C 23 D 28 From the third term, each term is the sum of the two before it: $1 + 4 = 5$, $4 + 5 = 9$, $5 + 9 = 14$, so $s = 9 + 14 = 23$.
5 Express $2(8^4) + 8$ as a number in base eight. flag bookmark A $1010_8$ B $2010_8$ C $10010_8$ D $20010_8$ T4 Chapter 2.1c Converting Numbers from One Base to Another $2(8^4) + 8 = 2(8^4) + 0(8^3) + 0(8^2) + 1(8^1) + 0(8^0)$, so the digits are 2, 0, 0, 1, 0: $20010_8$.
6 If $1122_3 + m_8 = 116_7$, find the value of $m$. flag bookmark A 18 B 20 C 22 D 24 T4 Chapter 2.1d Addition and Subtraction of Numbers in Various Bases $1122_3 = 27 + 9 + 6 + 2 = 44$ and $116_7 = 49 + 7 + 6 = 62$. So $m_8 = 62 - 44 = 18 = 2(8) + 2 = 22_8$, and $m = 22$.
7 Encik Charles receives an active income of RM7 850 and a passive income of RM2 500 a month. He has fixed expenses of RM3 850 and variable expenses of RM1 080 every month. Calculate Encik Charles's monthly cash flow, in RM. flag bookmark A 420 B 5 420 C 7 580 D 5 240 T4 Chapter 10.1b Evaluating Financial Status and Creating a Financial Plan Cash flow = total income − total expenses $= (7850 + 2500) - (3850 + 1080) = 10\,350 - 4930 =$ RM5 420.
8 Amir plans to buy a new laptop that costs RM5 999, but he does not have enough cash. He applies for a personal loan with a repayment period of 3 years at an interest rate of 5% per annum. What is his monthly instalment, in RM? flag bookmark A 191.63 B 196.65 C 221.46 D 229.41 Interest $= 5999 \times 0.05 \times 3 =$ RM899.85. Total repayment $= 5999 + 899.85 =$ RM6 898.85. Monthly instalment $= 6898.85 \div 36 =$ RM191.63.
9 Which of the following is covered by personal accident insurance? flag bookmark A Any loss or damage related to a motor vehicle. B Medical expenses such as hospitalisation and surgery costs. C Losses during travel such as death and permanent disability, loss of luggage, passport and others. D Bodily injury, disability or death resulting directly from an accident. T5 Chapter 3.1a Risk, Insurance, Life Insurance and General Insurance Personal accident insurance pays for bodily injury, disability or death caused directly by an accident. Vehicle damage is motor insurance, hospital bills are medical insurance, and travel losses are travel insurance.
10 $(2x - 3y)(y - 5x) =$ flag bookmark A $-3y^2 - 15xy - 10x^2$ B $-3y^2 + 15xy - 10x^2$ C $-3y^2 - 17xy - 10x^2$ D $-3y^2 + 17xy - 10x^2$ $(2x - 3y)(y - 5x) = 2xy - 10x^2 - 3y^2 + 15xy = -3y^2 + 17xy - 10x^2$.