Gobezoch › Textbooks › Mathematics Grade 9
Mathematics Grade 9 Unit 1: FURTHER ON SETS
national exam questions have come from this unit. It runs 25 pages; one careful study pass takes about 1.9 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.
1.1 Sets and Elements · read p. 2
Not asked in a national paper yet.
1.2 Set Description · read p. 4
- 2018 E.C., Q13 – Let A and B be two sets such that $A = \{1, 4, 9\}$ and $B = \{n \in \mathbb{N} : 3 < n \le 5\}$. Which of the following sets represents $A \times B$?
1.3 The Notion of Sets · read p. 7
- 2017 E.C., Q39 – Let $S$ be a set given by $\{x \in \mathbb{N}: 1 < x \leq 100\}$. Then which one of the following statement is true?
- 2016 E.C., Q18 – Given the set $A = {x \in \mathbb{R} : x \notin (\pi,\infty)}$, which of the following sets is equal to $A$?
1.4 Operations on Sets · read p. 12
- 2017 E.C., Q10 – Let $A = \{x|1 \leq x \leq 10\}$ and $B = \{x|-1 \leq x \leq 10\}$ be two sets of real numbers. What is the relative complement of $A$ with respect to $B$?
- 2017 E.C., Q3 – Let $A = \{1,2\}$ and $B = \{1,3\}$ be sets. Then which one of the following Cartesian products is correct?
- 2017 E.C., Q9 – Let and be two sets of real numbers. What is the relative complement of with respect to ?
1.5 Application · read p. 20
- 2018 E.C., Q27 – Let $A=\{x\in\mathbb{R}:x^3-x=0\}$and $B=\{x\in\mathbb{Z}:-1\leq x\}$. What is the relative complement of B with respect to A (i.e., $A\backslash B$)?
- 2018 E.C., Q28 – Given the set B={ ,{–2,0}}, what is the power set of B?
- 2016 E.C., Q31 – Let S, R and T be any three sets. Which one of the following is NOT true about the union of the sets?
- 2016 E.C., Q14 – Let A and B be two sets that contain 15 and 17 elements respectively. If A ∩ B contains 10 elements, what is the number of elements in A ∪ B?