1 $$25\left(\frac{1}{\sqrt[3]{216}}\right)^{-1} =$$ flag bookmark A 150 B 216 C $\frac{5}{6}$ D $\frac{25}{6}$ $\sqrt[3]{216} = 6$, so $\left(\frac{1}{6}\right)^{-1} = 6$ and $25 \times 6 = 150$.
2 Diagram 1 shows six number cards arranged according to a sequence. Which of the following patterns satisfies the number sequence? flag bookmark A Multiply the previous number by 3 B Divide the previous number by 3 C Subtract 4 from the previous number D Add 4 to the previous number The sequence is 2, 6, 10, 14, 18, 22. Each number is 4 more than the one before, so the pattern is "add 4 to the previous number".
3 Simplify $\frac{(2pq^{-3})^3 \times (q^3)^{-2}}{p^6 q^{-14}}$. flag bookmark A $\frac{8q}{p^3}$ B $\frac{2q}{p^3}$ C $\frac{8}{p^3 q}$ D $\frac{2}{p^3 q}$ $(2pq^{-3})^3 = 8p^3 q^{-9}$ and $(q^3)^{-2} = q^{-6}$, so the numerator is $8p^3 q^{-15}$. Dividing by $p^6 q^{-14}$: $8p^{3 - 6} q^{-15 + 14} = 8p^{-3} q^{-1} = \frac{8}{p^3 q}$.
4 Sumayyah bought a rectangular cake 15 cm wide and 20 cm long for her mother's birthday. She cut the whole cake into 24 equal square pieces. $\frac{3}{4}$ of the pieces were eaten. Calculate the area, in cm², of the remaining part of the cake. flag bookmark A $1.25 \times 10$ B $2.25 \times 10^2$ C $3.54 \times 10^2$ D $7.5 \times 10$ The whole cake has area $15 \times 20 = 300$ cm². $\frac{3}{4}$ was eaten, so $\frac{1}{4}$ remains: $\frac{1}{4} \times 300 = 75 = 7.5 \times 10$ cm².
5 Diagram 2 shows five students who were given number cards in different bases in a Mathematics quiz competition. Who got the largest value and who got the smallest value? flag bookmark A Largest: Rozita, smallest: Osman B Largest: Aishah, smallest: Maznah C Largest: Helmy, smallest: Aishah D Largest: Osman, smallest: Helmy T4 Chapter 2.1b Determining the Number Value of a Number in Various Bases In base ten: Rozita $241_5 = 71$, Aishah $111100_2 = 60$, Helmy $1102_4 = 82$, Osman $68_9 = 62$, Maznah $114_8 = 76$. The largest is Helmy (82) and the smallest is Aishah (60).
6 The value of the digit 4 in the number $14321_5$, in base ten, is flag bookmark A 4 B 100 C 500 D 4000 T4 Chapter 2.1a Number Bases: Place Value and Digit Value The digit 4 is in the $5^3$ place, so its value is $4 \times 125 = 500$.
7 Diagram 3(a) shows the ungrouped data of a data set, and Diagram 3(b) shows the data represented as a box plot. Which of the following is mislabelled? flag bookmark A 9 B 17 C 28 D 33 T4 Chapter 8.2d Constructing and Interpreting the Box Plot In order: 9, 12, 17, 23, 26, 30, 33, 36, 40, 44. Minimum 9, first quartile 17 (middle of 9, 12, 17, 23, 26), median $\frac{26 + 30}{2} = 28$, third quartile 36 (middle of 30, 33, 36, 40, 44), maximum 44. The box plot labels the third quartile as 33, which is wrong.
8 Mr Sufian owns a plot of land measuring 40 m × 50.5 m. The quit rent charged is RM0.43 per square metre. Calculate the quit rent to be paid by Mr Sufian for a year. flag bookmark A RM17.20 B RM21.50 C RM868.60 D RM2 020.00 T5 Chapter 4.1e Calculating Road Tax, Property Assessment Tax, Quit Rent, and Sales and Service Tax Area $= 40 \times 50.5 = 2020$ m². Quit rent $= 2020 \times 0.43 = 868.60$, i.e. RM868.60.
9 Table 1 shows the road tax rates for privately owned cars in Peninsular Malaysia. | Engine capacity (cc) | Base rate | Progressive rate | |---|---|---| | 1401 cc – 1600 cc | RM90 | – | | 1601 cc – 1800 cc | RM200 | + RM0.40 per cc over 1600 cc | | 1801 cc – 2000 cc | RM280 | + RM0.50 per cc over 1800 cc | Calculate the road tax of a 1800 cc car for private use in Terengganu. flag bookmark A RM200 B RM280 C RM380 D RM800 T5 Chapter 4.1e Calculating Road Tax, Property Assessment Tax, Quit Rent, and Sales and Service Tax 1800 cc is in the 1601–1800 cc band: base RM200 plus RM0.40 for each cc over 1600 cc. $200 + 0.40 \times (1800 - 1600) = 200 + 80 = 280$, i.e. RM280.
10 A rectangle has length $3x$ and width $(3x - 1)$. Which of the following is the quadratic expression for the area of the rectangle? flag bookmark A $6x - 1$ B $9x - 3$ C $6x^2 - x$ D $9x^2 - 3x$ T4 Chapter 1.1a Quadratic Expressions in One Variable Area $= 3x(3x - 1) = 9x^2 - 3x$.