Sets & logic

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1. 1Sets and logicComplements, unions and intersections on a Venn diagram, De Morgan's laws, counting with two sets, sets defined by inequalities, and writing statements in logical symbols.Done16 min

Past questions (11)

From 2008–2023: 8 WAEC, 3 NECO. Theory questions first, then objective, newest first.

Theory (4)

• NECO 2023 · Paper 2 · Q1Let $U = \{e, f, g, h, i\}$ be a universal set, and $X = \{e, g\}$ and $Y = \{g, h\}$ subsets of $U$.
• NECO 2023 · Paper 2 · Q10Resolve $\dfrac{2x^3 + 5x^2 - 6x + 4}{(x - 1)(x + 2)}$ into partial fractions.
• WAEC 2016 · Paper 2 · Q3Given that $P = \{x : x \in \mathbb{R},\ 2x^2 - x - 10 \le 0\}$ and $Q = \{x : x \in \mathbb{R},\ 4x^2 - 1 \ge 0\}$, find $P \cap Q$.
• WAEC 2008 · Paper 2 · Q5In a hotel the breakfast menu is a choice between yam ($Y$) or plantain ($P$) or both. The Venn diagram shows the choices made by 25 guests of …

Objective (7)

• NECO 2023 · Paper 1 · Q20Let $p$ denote “The cost of living is high” and $q$ denote “The standard of living is low”. Which of the following describes “Neither the cost …
• WAEC 2023 · Paper 1 · Q14Given that $P = \{x : 2 \le x \le 8\}$ and $Q = \{x : 4 < x \le 12\}$ are subsets of the universal set $\mu = \{x : x \in \mathbb{R}\}$, find …
• WAEC 2023 · Paper 1 · Q4Consider the statements: $x$: The school bus arrived late $y$: The students walked down to school Which of the following can be represented by …
• WAEC 2022 · Paper 1 · Q15Given that $P = \{x : x \text{ is a multiple of } 5\}$, $Q = \{x : x \text{ is a multiple of } 3\}$ and $R = \{x : x \text{ is an odd number}\}$ …
• WAEC 2022 · Paper 1 · Q5Consider the following statements: $x$: All wrestlers are strong. $y$: Some wrestlers are not weightlifters. Which of the following is a valid …
• WAEC 2020 · Paper 1 · Q14Given that $P = \{x : 1 \le x \le 6\}$ and $Q = \{x : 2 < x < 10\}$, where $x$ are integers, find $n(P \cap Q)$.
• WAEC 2020 · Paper 1 · Q40Consider the statements: $x$: Birds fly $y$: The sky is blue. Which of the following statements can be represented as $x \Leftrightarrow y$?