Core Mathematics

Question 1

1If a ⊕ b = a² − ab, evaluate 2 ⊕ 2.

Easy

A. 1 B. 8 C. 2 D. 0

Question 2

2If a * b = 5a + b − 1, evaluate 2 * 2.

Easy

A. 19 B. 13 C. 12 D. 11

Question 3

3The identity element under multiplication is 1.

Easy

A. True B. False

Question 4

4If x * y = xy − x, then 4 * 3 = ___

Easy

Your answer (fill in the blank)

Question 5

5If a * b = a + b + 4 on the real numbers, find the identity element.

Hard

A. 4 B. 1 C. 0 D. −4

Question 6

6Multiplication of real numbers is associative.

Easy

A. True B. False

Question 7

7If x * y = xy − x, then 5 * 2 = ___

Easy

Your answer (fill in the blank)

Question 8

8If a * b = 2a + b − 3, evaluate 1 * 3.

Easy

A. 8 B. 4 C. 2 D. 5

Question 9

9Simplify (x² − 9)/(x − 3).

Medium

A. x + 3 B. x − 3 C. x² D. x + 9

Question 10

10A binary operation * is associative if

Medium

A. a * e = a B. a * b = b * a C. (a * b) * c = a * (b * c) D. a * a⁻¹ = e