WAEC Mathematics 2023 Objective — Question 2

Question 2 of 50 from the West African Examinations Council (WAEC) Mathematics 2023 Objective paper, with the correct answer and a full explanation.

There are 30 students in a class. 15 study woodwork and 13 study metalwork. 6 study neither of the two subjects. How many students study woodwork but not metalwork?

A. 5
B. 9
C. 11Correct
D. 13

Explanation

Using a Venn diagram with x=both: (15-x)+x+(13-x)+6=30 → 34-x=30 → x=4. Woodwork only = 15-x = 15-4 = 11.

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