WASSCE Sets & Logical Reasoning Practice Questions for SHS
Sets and logical reasoning appear in every WASSCE Core Mathematics paper, usually as a two- or three-set Venn diagram problem plus objective items on implications and validity. Under the New NaCCA Curriculum, Ghanaian SHS students should be able to move between set notation, Venn diagrams and word problems about groups of students, subjects or products. These practice questions do exactly that.
What WASSCE tests in Logical Reasoning & Sets
- Set notation, subsets and universal sets
- Union, intersection and complement
- Two-set and three-set Venn diagram problems
- Number of elements in sets and word problems
- Statements, negation and implication
- Converse, inverse and contrapositive
- Validity of arguments and truth tables
- Logical reasoning with everyday scenarios
Sample Logical Reasoning & Sets practice questions
175 Logical Reasoning & Sets questions are currently in the SHSMathPro question bank. Answers and step-by-step solutions are shown inside the quiz.
1. When is the conjunction p ∧ q true?
- A. When at least one of p, q is true
- B. When both are false
- C. When p is false
- D. Only when both p and q are true
SHS 3
2. What is the negation of 'Kofi is in SHS 3'?
- A. Kofi is in SHS 2.
- B. Kofi is not in SHS 3.
- C. Kofi is in SHS 1.
- D. Kofi is not a student.
SHS 3
3. p: 'It is raining.' q: 'The ground is wet.' Which is p ∧ q?
- A. It is raining and the ground is wet.
- B. It is raining or the ground is wet.
- C. If it is raining, then the ground is wet.
- D. It is not raining.
SHS 3
4. Which of the following is a statement in logic?
- A. Close the door.
- B. Is it raining?
- C. What a lovely day!
- D. Accra is the capital of Ghana.
SHS 3
5. What is the truth value of the statement '7 is an even number'?
- A. True
- B. Both true and false
- C. False
- D. It has no truth value
SHS 3
6. When is the disjunction p ∨ q false?
- A. When both are true
- B. When p is true
- C. Whenever q is true
- D. Only when both p and q are false
SHS 3
Logical Reasoning & Sets: common questions
- How do I solve three-set Venn diagram problems?
- Always fill the centre (elements in all three sets) first, then work outwards through the pairwise overlaps before the single regions.
- Is logic hard to score in WASSCE?
- No — implication, converse and contrapositive questions follow fixed patterns, so a few practice sets on SHSMathPro usually secure those marks.
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