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Practice Mathematical Operations Practice Questions with Detailed Solutions – Level 2

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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 × 7

  2. Question 2

    If 'P' stands for '×', 'Q' stands for '÷', 'R' stands for '+' and 'S' stands for '−', what is the value of the following expression?

    36 Q 4 P 5 R 18 S 7

  3. Question 3

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

    \(15 \div 3 + 6 \times 2 - 4 = 28\)

  4. Question 4

    Which two numbers should be interchanged to make the following equation correct?

    \(8 + 12 \div 4 \times 3 - 6 = 18\)

  5. Question 5

    Select the correct combination of mathematical signs to sequentially replace the * signs and balance the given equation.

    Which sequence of signs balances the equation below?

    24 * 6 * 3 * 5 * 2 = 15

  6. Question 6

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

    7 − 6 × 48 + 8 ÷ 9

  7. Question 7

    If '÷' means '+', '×' means '−', '+' means '×' and '−' means '÷', which of the following equations is correct?

  8. Question 8

    If a ★ b = a² − ab + b and a ◆ b = (a + b) ÷ 2, what is the value of (4 ★ 3) ◆ 9?

  9. Question 9

    If the signs '+' and '÷' are interchanged and the numbers 4 and 8 are interchanged, what will be the value of the following expression?

    \(8 + 4 \times 6 \div 12 - 5\)

  10. Question 10

    Select the correct combination of mathematical signs to sequentially replace the * signs so that the equation is balanced.

    Which sequence of signs, including '=', balances the expression below?

    5 * 3 * 8 * 2 * 5

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