JAMB and WAEC Mathematics questions: Binary operations

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

All JAMB WAEC

Question 21· Binary operations· JAMB
The operation ∗ is defined on non-zero real numbers by a ∗ b = (a + b)/ab. Find 2 ∗ 3.
Explanation and discussion
Question 22· Binary operations· WAEC
A binary operation ⊕ is defined by a ⊕ b = 3a − b. Find 5 ⊕ 7.
Explanation and discussion
Question 23· Binary operations· JAMB
The operation * is defined by a * b = ab − a − b + 2. Find x if x * 3 = 6.
Explanation and discussion
Question 24· Binary operations· WAEC
An operation ⊙ is defined by m ⊙ n = m − n + mn. Find 2 ⊙ (−1).
Explanation and discussion
Question 25· Binary operations· JAMB
Which of these operations on the real numbers is commutative?
Explanation and discussion
Question 26· Binary operations· JAMB
The operation * on real numbers is defined by a * b = a + b − ab, with identity element 0. Find the inverse of 2.
Explanation and discussion
Question 27· Binary operations· JAMB
The operation # is defined by a # b = ab/(a + b). Find 3 # 6.
Explanation and discussion
Question 28· Binary operations· WAEC
On the set {1, 2, 3, 4}, a ⊗ b is the remainder when ab is divided by 5. Find 3 ⊗ 4.
Explanation and discussion
Question 29· Binary operations· JAMB
The operation * is defined by a * b = (a + b)/2. Find (2 * 4) * 6.
Explanation and discussion
Question 30· Binary operations· JAMB
The operation * on real numbers is defined by a * b = a + b + 2. Find the identity element.
Explanation and discussion
Question 31· Binary operations· JAMB
The operation ∘ is defined by a ∘ b = a² + 2b. Find x if x ∘ 3 = 22.
Explanation and discussion
Question 32· Binary operations· WAEC
A binary operation is defined by m ∘ n = m² − 2n. Evaluate (−3) ∘ 4.
Explanation and discussion
Question 33· Binary operations· JAMB
The operation * on real numbers is defined by a * b = a + b + 2, with identity element −2. Find the inverse of 3.
Explanation and discussion
Question 34· Binary operations· WAEC
Under the operation a ∘ b = a + b − 2, whose identity element is 2, find the inverse of 5.
Explanation and discussion
Question 35· Binary operations· WAEC
Find the identity element of the operation a ∗ b = ab/2 on the non-zero real numbers.
Explanation and discussion

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JAMB and WAEC Mathematics questions: Binary operations

The operation ∗ is defined on non-zero real numbers by a ∗ b = (a + b)/ab. Find 2 ∗ 3.

A binary operation ⊕ is defined by a ⊕ b = 3a − b. Find 5 ⊕ 7.

The operation * is defined by a * b = ab − a − b + 2. Find x if x * 3 = 6.

An operation ⊙ is defined by m ⊙ n = m − n + mn. Find 2 ⊙ (−1).

Which of these operations on the real numbers is commutative?

The operation * on real numbers is defined by a * b = a + b − ab, with identity element 0. Find the inverse of 2.

The operation # is defined by a # b = ab/(a + b). Find 3 # 6.

On the set {1, 2, 3, 4}, a ⊗ b is the remainder when ab is divided by 5. Find 3 ⊗ 4.

The operation * is defined by a * b = (a + b)/2. Find (2 * 4) * 6.

The operation * on real numbers is defined by a * b = a + b + 2. Find the identity element.

The operation ∘ is defined by a ∘ b = a² + 2b. Find x if x ∘ 3 = 22.

A binary operation is defined by m ∘ n = m² − 2n. Evaluate (−3) ∘ 4.

The operation * on real numbers is defined by a * b = a + b + 2, with identity element −2. Find the inverse of 3.

Under the operation a ∘ b = a + b − 2, whose identity element is 2, find the inverse of 5.

Find the identity element of the operation a ∗ b = ab/2 on the non-zero real numbers.