JAMB and WAEC Further Mathematics questions

267 questions with answers and explanations. Tap an option to check yourself.

All topics Coordinate geometry and conic sections · 16 Differentiation · 18 Dynamics · 15 Functions and rational functions · 15 Integration · 16 Matrices and determinants · 16 Permutations and combinations · 15 Polynomials and the remainder theorem · 16 Probability · 16 Sequences and series · 16 Sets, binary operations and logic · 16 Statics · 14 Statistics · 15 Surds, indices and logarithms · 16 The binomial theorem · 15 Trigonometry · 16 Vectors · 16

Question 161· Sets, binary operations and logic· WAEC
If U = {1, 2, …, 10} and A = {even numbers in U}, then n(A′) is
Explanation and discussion
Question 162· Sets, binary operations and logic· WAEC
The contrapositive of "If p then q" is
Explanation and discussion
Question 163· Sets, binary operations and logic· WAEC
What is the converse of 'If a figure is a square, then it is a rectangle'?
Explanation and discussion
Question 164· Sets, binary operations and logic· WAEC
The statement p ⇒ q is false only when
Explanation and discussion
Question 165· Sets, binary operations and logic· WAEC
The operation a * b = a + b + 3 on the real numbers has identity element −3. Find the inverse of 2.
Explanation and discussion
Question 166· Sets, binary operations and logic· WAEC
If p is true and q is false, what is the truth value of p ⇒ q?
Explanation and discussion
Question 167· Sets, binary operations and logic· WAEC
n(U) = 50, n(A) = 30, n(B) = 25 and n(A ∩ B) = 12. Find n(A′ ∩ B′).
Explanation and discussion
Question 168· Sets, binary operations and logic· WAEC
What is the negation of the statement 'All students passed'?
Explanation and discussion
Question 169· Sets, binary operations and logic· WAEC
The operation ∘ is defined on the real numbers by a ∘ b = 2a + b − 3. Find (4 ∘ 5) − (5 ∘ 4).
Explanation and discussion
Question 170· Sets, binary operations and logic· WAEC
If p is 'it is raining' and q is 'the ground is wet', the statement p ⇒ q means
Explanation and discussion
Question 171· Sets, binary operations and logic· WAEC
If n(A) = 8, n(B) = 6 and n(A ∩ B) = 3, then n(A ∪ B) is
Explanation and discussion
Question 172· Sets, binary operations and logic· WAEC
The contrapositive of 'if x = 2, then x² = 4' is
Explanation and discussion
Question 173· Sets, binary operations and logic· WAEC
Find the identity element of the operation a * b = a + b + 3 on the set of real numbers.
Explanation and discussion
Question 174· Sets, binary operations and logic· WAEC
The number of subsets of a set with 4 elements is
Explanation and discussion
Question 175· Sets, binary operations and logic· WAEC
A binary operation * is defined on the real numbers by a * b = a + b − 2ab. Find 3 * 2.
Explanation and discussion
Question 176· Statics· WAEC
The moment of a 10 N force about a point 0.5 m from its line of action is
Explanation and discussion
Question 177· Statics· WAEC
A uniform rod 2 m long and of weight 40 N is hinged at one end and held horizontal by a vertical force at the other end. Find the force.
Explanation and discussion
Question 178· Statics· WAEC
When a particle is in equilibrium under three forces, the forces drawn in order, head to tail, form
Explanation and discussion
Question 179· Statics· WAEC
Two forces of 3 N and 4 N act at a point at right angles to each other. The magnitude of their resultant is
Explanation and discussion
Question 180· Statics· WAEC
A uniform beam 4 m long rests on a support at its midpoint. A 30 N weight hangs 1 m from one end. What weight hung at the other end keeps the beam horizontal?
Explanation and discussion

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JAMB and WAEC Further Mathematics questions

If U = {1, 2, …, 10} and A = {even numbers in U}, then n(A′) is

The contrapositive of "If p then q" is

What is the converse of 'If a figure is a square, then it is a rectangle'?

The statement p ⇒ q is false only when

The operation a * b = a + b + 3 on the real numbers has identity element −3. Find the inverse of 2.

If p is true and q is false, what is the truth value of p ⇒ q?

n(U) = 50, n(A) = 30, n(B) = 25 and n(A ∩ B) = 12. Find n(A′ ∩ B′).

What is the negation of the statement 'All students passed'?

The operation ∘ is defined on the real numbers by a ∘ b = 2a + b − 3. Find (4 ∘ 5) − (5 ∘ 4).

If p is 'it is raining' and q is 'the ground is wet', the statement p ⇒ q means

If n(A) = 8, n(B) = 6 and n(A ∩ B) = 3, then n(A ∪ B) is

The contrapositive of 'if x = 2, then x² = 4' is

Find the identity element of the operation a * b = a + b + 3 on the set of real numbers.

The number of subsets of a set with 4 elements is

A binary operation * is defined on the real numbers by a * b = a + b − 2ab. Find 3 * 2.

The moment of a 10 N force about a point 0.5 m from its line of action is

A uniform rod 2 m long and of weight 40 N is hinged at one end and held horizontal by a vertical force at the other end. Find the force.

When a particle is in equilibrium under three forces, the forces drawn in order, head to tail, form

Two forces of 3 N and 4 N act at a point at right angles to each other. The magnitude of their resultant is

A uniform beam 4 m long rests on a support at its midpoint. A 30 N weight hangs 1 m from one end. What weight hung at the other end keeps the beam horizontal?