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Mathematics Grade 9 Unit 2: THE NUMBER SYSTEM

national exam questions have come from this unit. It runs 78 pages; one careful study pass takes about 6.3 hours, and its difficulty is easier among Mathematics units. Each section below lists the questions set from it, with the year, and opens the page that teaches it.

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2.1 Revision on Natural Numbers and Integers · read p. 28
  • 2016 E.C., Q3 – When dividing 142 by 13 and expressed the result by applying the division algorithm, we get?
  • 2016 E.C., Q42 – Which one of the following numbers is a common multiple of 324 and 1152?
  • 2016 E.C., Q1 – In the set of natural numbers, which one of the following defines a composite number?
  • 2015 E.C., Q22 – If the truth value of $p$ is T, then which of the following compound propositions has a truth value T for any proposition $q$?
  • 2015 E.C., Q17 – On the set of Natural numbers $\mathbb{N}$, which one of the following propositions has a truth value True ?
  • 2015 E.C., Q6 – Which of the following defines a prime number?
  • 2015 E.C., Q35 – Which of the following assertions is true applying the Principle of Mathematical Induction?
  • 2015 E.C., Q1 – Which one of the following defines a prime number?
  • 2014 E.C., Q39 – Which one of the following compound statements has a converse with truth value False?
  • 2014 E.C., Q41 – Let p: 2 is a prime number and q: 3 is an odd number. Then the contrapositive and its truth value of the statement p ⇒ q are respectively:
  • 2013 E.C., Q52 – Which one of the following is the contrapositive of the statement: If 21 is a prime number, then 4 is an odd number?
2.2 Rational Numbers · read p. 45
  • 2018 E.C., Q28 – What is the fraction form of the decimal $0.343434...$?
  • 2017 E.C., Q19 – Which one of the following expression is the correct decomposition of the rational expression $\frac{2x-3}{x^2+x-2}$?
2.3 Irrational Numbers · read p. 51
  • 2018 E.C., Q32 – Which one of the following numbers is an irrational number?
  • 2018 E.C., Q49 – The infinite repeating decimal 0.373737... can be expressed as which rational fraction in lowest terms?
  • 2017 E.C., Q5 – Which one of the following is an irrational number?
  • 2013 E.C., Q51 – Two statements $p$ and $q$ are given by: $p: \frac{22}{7}$ is an irrational number. $q:$ The sum of two odd integers is odd. Then which of the following has a truth value $T$?
2.4 Real Numbers · read p. 61
  • 2018 E.C., Q18 – What is the simplified form of the expression $$\frac{(\sqrt[3]{64})^2 \times (\sqrt{8})^3}{(\sqrt{2})^3 \times (\sqrt[3]{32})^2}$$
  • 2018 E.C., Q57 – Which one of the following statements is true about the given numbers and points on the number line?
  • 2016 E.C., Q2 – Which of the following is true about rationalizing the denominator?
  • 2015 E.C., Q32 – Which one of the following numbers is the upper bounds of the sequence ?
  • 2014 E.C., Q21 – The simplified form of the expression $\frac{6\sqrt{20}-3\sqrt{45}}{3\sqrt{75}}$ is:
  • 2014 E.C., Q44 – What is the simplified form of ? − 8 7 i 8 3 − 2 5 i 2 5
  • 2014 E.C., Q29 – Which of the following is true about bounded sequence?
  • 2014 E.C., Q45 – Consider the sequence Which one of the following is true about the sequence?
2.5 Application · read p. 95
  • 2014 E.C., Q13 – Which one of the following numbers is equal to $\frac{\sqrt{3}+\sqrt{2}}{\sqrt{3}-\sqrt{2}}$?