1 Diagram 1 shows a number sequence. $1, 5, 6, x, 17, 28, y$ Find the values of $x$ and $y$. flag bookmark A $x = 11,\ y = 45$ B $x = 11,\ y = 39$ C $x = 12,\ y = 45$ D $x = 12,\ y = 39$ From the third term on, each term is the sum of the two terms before it: $1 + 5 = 6$, $5 + 6 = 11$, $6 + 11 = 17$, $11 + 17 = 28$, $17 + 28 = 45$. So $x = 11$ and $y = 45$.
2 Table 1 shows the sales record of frozen food in a shop on a certain day. | Frozen food | Number of packs | |---|---| | Nugget | 150 | | Pizza | 120 | Find the ratio of the number of packs of nuggets to the number of packs of pizza. flag bookmark A 3 : 5 B 4 : 5 C 5 : 3 D 5 : 4 Nugget : pizza $= 150 : 120$. Divide both by 30: $5 : 4$.
3 In Diagram 2, $ABCD$ is a rectangle and $RSTU$ is a square. Given that $BX = 15$ cm, find the perimeter, in cm, of the shaded region. flag bookmark A 54 B 62 C 66 D 74 $XC = \sqrt{15^2 - 12^2} = 9$ cm, and $DX = XC = 9$ cm, so $AB = DC = 18$ cm. The tick marks split $AD = 12$ cm into three equal parts of 4 cm, so the square has sides of 4 cm. Perimeter of the shaded region $= AB + BX + XD + DT + TS + SR + RU + UA = 18 + 15 + 9 + 4 + 4 + 4 + 4 + 4 = 62$ cm.
4 Suhaimi took a car loan of RM90 000 from a bank at an interest rate of 2.7% per annum. Calculate the total repayment if the loan period is 9 years. flag bookmark A RM1 035.83 B RM12 430.00 C RM21 870.00 D RM111 870.00 Interest $= Prt = 90\,000 \times 0.027 \times 9 =$ RM21 870. Total repayment $= 90\,000 + 21\,870 =$ RM111 870.
5 Convert $3421_7$ to base five. flag bookmark A $1240_5$ B $1443_5$ C $12400_5$ D $14430_5$ T4 Chapter 2.1c Converting Numbers from One Base to Another $3421_7 = 3(343) + 4(49) + 2(7) + 1 = 1240_{10}$. Divide by 5 repeatedly: $1240 \div 5 = 248$ r 0, $248 \div 5 = 49$ r 3, $49 \div 5 = 9$ r 4, $9 \div 5 = 1$ r 4, $1 \div 5 = 0$ r 1. Reading upwards: $14430_5$.
6 Table 2 shows the number of marbles in three containers. The number of marbles in container T is not shown. | Container | Number of marbles | |---|---| | R | $32_7$ | | S | $221_4$ | | T | | The number of marbles in container T is the greatest. What is a possible number of marbles in container T? flag bookmark A $23_8$ B $35_6$ C $203_5$ D $213_4$ T4 Chapter 2.1b Determining the Number Value of a Number in Various Bases $R = 32_7 = 23$ and $S = 221_4 = 32 + 8 + 1 = 41$. Options: $23_8 = 19$, $35_6 = 23$, $203_5 = 53$, $213_4 = 39$. Only $203_5 = 53$ is greater than 41.
7 Which of the following pairs of authority and tax is **not** true? flag bookmark A Royal Malaysian Customs Department — Sales and Service Tax B Municipal council or district council — Quit rent C Inland Revenue Board — Income tax D Road Transport Department — Road tax T5 Chapter 4.1a The Purpose of Taxation and Types of Taxes in Malaysia Quit rent is collected by the state Land Office, not the municipal or district council (the council collects property assessment tax). The other pairs are correct.
8 Areefa owns a house in Kangar Jaya. She receives a property assessment tax bill from Majlis Perbandaran Kangar. It is given that the annual value is RM6 440 and the property assessment tax rate is 8%. Calculate the property assessment tax payable by Areefa for each half-year. flag bookmark A RM515.20 B RM257.60 C RM128.80 D RM85.87 T5 Chapter 4.1e Calculating Road Tax, Property Assessment Tax, Quit Rent, and Sales and Service Tax Tax per year $= 8\% \times 6440 =$ RM515.20. Each half-year $= 515.20 \div 2 =$ RM257.60.
9 Diagram 3 shows information about Firdaus's car, which he wants to insure in Pulau Pinang. Table 3 shows the rates charged for the first RM1 000 of the sum insured for a comprehensive policy. | Item | Details | |---|---| | Sum insured | RM70 000 | | Engine capacity | 2 500 cc | | NCD | 25% | | Engine capacity (not exceeding cc) | Comprehensive policy (RM) | |---|---| | 2 200 | 339.10 | | 3 050 | 372.60 | The basic premium of a comprehensive policy for Peninsular Malaysia = rate for the first RM1 000 + RM26 for each RM1 000 or part thereof on the value exceeding the first RM1 000. Calculate the gross premium of Firdaus's car under the comprehensive policy. flag bookmark A RM2 166.60 B RM1 794.00 C RM1 599.83 D RM1 624.95 T5 Chapter 3.1b Calculating Insurance Premiums (Life Insurance and Motor Insurance) 2 500 cc falls in the "not exceeding 3 050 cc" row: RM372.60 for the first RM1 000. The remaining RM69 000 adds $69 \times 26 =$ RM1 794. Basic premium $= 372.60 + 1794 =$ RM2 166.60. After the 25% NCD: $2166.60 \times 0.75 =$ RM1 624.95.
10 Diagram 4 shows a number line that represents the solution of an inequality. Determine the inequality. flag bookmark A $x + 18 \ge 2x + 13$ B $x - 18 \ge 3x - 8$ C $x \le 3x + 10$ D $x \le 2x - 5$ The number line shows $x \ge -5$ (solid dot at $-5$, arrow to the right). C: $x \le 3x + 10$ gives $-2x \le 10$, so $x \ge -5$.