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Perlis Trial 2024 Mathematics Kertas 1

Mathematics

Perlis Trial 2024 Mathematics Kertas 1

  • Perlis Trial
  • 40 questions
  • With explanations
1
Diagram 1 shows a number sequence. $1, 5, 6, x, 17, 28, y$ Find the values of $x$ and $y$.
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.
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.
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.
5
Convert $3421_7$ to base five.
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?
7
Which of the following pairs of authority and tax is **not** true?
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.
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.
10
Diagram 4 shows a number line that represents the solution of an inequality. Determine the inequality.
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