1 The 7th term, $T_7$, of −1, 2, −4, 8, … is flag bookmark A −78 B −64 C −47 D −32 Each term is the previous term multiplied by −2: −1, 2, −4, 8, −16, 32, −64. So $T_7 = -64$.
2 Simplify $\frac{7}{16} : \frac{3}{4}$ to the lowest terms. flag bookmark A 7 : 12 B 8 : 13 C 10 : 17 D 21 : 64 Multiply both parts by 16: $7 : 12$. 7 and 12 have no common factor, so the ratio is 7 : 12.
3 Write a linear inequality based on the following situation: > Dina wrote a summary of an essay not exceeding 100 words. flag bookmark A $x > 100$ B $x < 100$ C $x \geq 100$ D $x \leq 100$ 'Not exceeding 100' means at most 100, so if x is the number of words, $x \leq 100$.
4 A car moves at a speed of 110 km/h. Calculate the distance, in km, travelled by the car in 1 hour 24 minutes. flag bookmark A 135 B 154 C 160 D 178 1 hour 24 minutes = 1.4 hours. Distance = 110 × 1.4 = 154 km.
5 The volume of a metal ball varies directly as the cube of its radius. Given that the volume of the metal ball is 320 cm³ when the radius is 4 cm. Calculate the diameter of the metal ball, in m, when the volume is 5000 cm³. flag bookmark A 0.1 m B 0.2 m C 0.3 m D 0.4 m T5 Chapter 1.1c Worked Examples: Finding the Constant and Solving Direct Variation Equations $V = kr^3$: $320 = 64k$, so $k = 5$. $5000 = 5r^3$ gives $r^3 = 1000$, $r = 10$ cm. Diameter = 20 cm = 0.2 m.
6 Given that $530_4 = (4^2)m + 12$. The value of m is flag bookmark A 2 B 3 C 4 D 5 T4 Chapter 2.1b Determining the Number Value of a Number in Various Bases $530_4 = 5 \times 16 + 3 \times 4 + 0 = 92$. So $16m + 12 = 92$, $16m = 80$ and $m = 5$.
7 The mean score for a set of data with scores 3, 4, 2, 4, x, 8, 6, 4, 3 is 6. Determine the value of x. flag bookmark A 6 B 14 C 20 D 34 There are 9 scores, so the total is 9 × 6 = 54. The other scores add up to 34, so x = 54 − 34 = 20.
8 Which of the following statements is true? flag bookmark A $6 \times 2 = 6^2$ B $5^0 = 0$ C $100_2 = 4_{10}$ D $-5 > -4$ T4 Chapter 3.1a Statements and Truth Value $100_2 = 4$, so C is true. $6 \times 2 = 12 \neq 36$, $5^0 = 1$, and −5 is less than −4.
9 Rashid received RM250 as interest after he deposited an amount of money in a bank for 2 years. The bank offers an interest rate of 2.5% per annum. How much were his initial savings? flag bookmark A RM500 B RM2 500 C RM5 000 D RM10 000 $I = Prt$: $250 = P \times 0.025 \times 2 = 0.05P$, so $P = 5000$. His initial savings were RM5 000.
10 Given set M = {2, 4, 6} and N = {4, 6, 8, 10}. State n(M ∪ N). flag bookmark A 4 B 5 C 6 D 7 T4 Chapter 4.2a Union of Sets M ∪ N = {2, 4, 6, 8, 10}, so n(M ∪ N) = 5.