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Practice Mathematical Operations Practice Questions with Detailed Solutions – Level 3

50 questions. Choose an option and see at once whether it was right, with the correct answer and a worked solution. No timer, and nothing to submit.

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  1. Question 1

    If '+' means '×', '−' means '÷', '×' means '−' and '÷' means '+', what is the value of the following expression?

    18 − 3 + 4 × 12 ÷ 5

  2. Question 2

    If A means '+', B means '−', C means '×' and D means '÷', what is the value of the following expression?

    36 D 4 C 7 A 15 B 9 C 2

  3. Question 3

    Which interchange of two signs and two numbers would make the given equation correct?

    \(5 \times 3 + 24 \div 6 - 8 = 39\)

  4. Question 4

    Select the correct combination of mathematical signs to replace the * signs from left to right and balance the given equation.

    18 * 6 * 4 * 9 * 5 = 16

  5. Question 5

    If P means '÷', Q means '×', R means '+' and S means '−', what number should replace the question mark in the following equation?

    72 P 8 Q ? R 15 S 6 = 54

  6. Question 6

    If the signs '+' and '×' are interchanged and the numbers 4 and 6 are interchanged, which of the following equations becomes correct?

  7. Question 7

    If \(a \mathbin{@} b = a^2 + ab - b\) and \(a \mathbin{\$} b = (a - b)^2\), what is the value of \((3 \mathbin{@} 4) \mathbin{\$} (5 \mathbin{@} 2)\)?

  8. Question 8

    If '×' stands for addition, '÷' for subtraction, '+' for multiplication and '−' for division, what is the value of the following expression?

    54 − 9 × 7 + 8 ÷ 36 − 4

  9. Question 9

    Which two signs should be interchanged to make the given equation correct?

    \(36 + 4 \div 6 \times 3 - 10 = 17\)

  10. Question 10

    If L means '×', M means '−', N means '÷' and O means '+', which of the following expressions has a value of 50?

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