Mathematical Operations Questions with Solutions

Mathematical operations questions replace the usual arithmetic signs with different symbols and ask you to evaluate an expression using the new meanings. For example, if + means ÷, ÷ means -, - means x and x means +, you must rewrite the expression with the true signs before calculating. A second type defines a new operation, such as a * b = 2a + b, and asks you to apply it to given numbers. The most common mistake is calculating with the old meanings of the signs. Replace every symbol first, writing the new expression clearly, and only then apply BODMAS (Brackets, Orders, Division, Multiplication, Addition, Subtraction). For defined operations, substitute the numbers into the rule exactly as written, working from the inside out when operations are nested. Some questions also ask which signs must be interchanged to make an equation correct. In that case, test the most likely pairs of signs rather than trying every combination. Practise the mathematical operations questions below. Each solution shows the sign replacement and the calculation step by step.