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Mathematical Operations and BODMAS MCQs

Solved reasoning MCQs on symbol substitution, interchanging signs to balance an equation and BODMAS simplification, with every step shown.

20 MCQsUpdated 27 October 2026

These MCQs cover questions where symbols are swapped or given new meanings, finding the signs to interchange, and simplifying expressions using BODMAS.

First rewrite the expression with the real signs, then apply BODMAS: brackets, orders, division and multiplication from left to right, then addition and subtraction from left to right.

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  1. 1

    If '+' means '×', '−' means '÷', '×' means '−' and '÷' means '+', what is the value of 18 − 6 + 4 × 3 ÷ 5?

    Correct answer: A. 14

    Replace the signs first: 18 − 6 + 4 × 3 ÷ 5 becomes 18 ÷ 6 × 4 − 3 + 5. Then apply BODMAS (division and multiplication before addition and subtraction) to get 14.

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    medium
  2. 2

    If '+' means '−', '−' means '+', '×' means '÷' and '÷' means '×', what is the value of 24 × 4 + 6 − 3 ÷ 2?

    Correct answer: B. 6

    Replace the signs first: 24 × 4 + 6 − 3 ÷ 2 becomes 24 ÷ 4 − 6 + 3 × 2. Then apply BODMAS (division and multiplication before addition and subtraction) to get 6.

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    medium
  3. 3

    If '+' means '÷', '÷' means '+', '×' means '−' and '−' means '×', what is the value of 36 + 9 × 2 − 3 ÷ 5?

    Correct answer: B. 3

    Replace the signs first: 36 + 9 × 2 − 3 ÷ 5 becomes 36 ÷ 9 − 2 × 3 + 5. Then apply BODMAS (division and multiplication before addition and subtraction) to get 3.

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    medium
  4. 4

    If '+' means '×', '×' means '+', '−' means '÷' and '÷' means '−', what is the value of 7 + 3 × 20 − 4 ÷ 6?

    Correct answer: D. 20

    Replace the signs first: 7 + 3 × 20 − 4 ÷ 6 becomes 7 × 3 + 20 ÷ 4 − 6. Then apply BODMAS (division and multiplication before addition and subtraction) to get 20.

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    medium
  5. 5

    If '−' means '+', '+' means '−', '×' means '÷' and '÷' means '×', what is the value of 50 − 10 × 5 + 4 ÷ 3?

    Correct answer: A. 40

    Replace the signs first: 50 − 10 × 5 + 4 ÷ 3 becomes 50 + 10 ÷ 5 − 4 × 3. Then apply BODMAS (division and multiplication before addition and subtraction) to get 40.

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    medium
  6. 6

    If '×' means '+', '+' means '×', '÷' means '−' and '−' means '÷', what is the value of 9 × 6 + 4 ÷ 12 − 3?

    Correct answer: B. 29

    Replace the signs first: 9 × 6 + 4 ÷ 12 − 3 becomes 9 + 6 × 4 − 12 ÷ 3. Then apply BODMAS (division and multiplication before addition and subtraction) to get 29.

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    medium
  7. 7

    Which two signs should be interchanged to make this equation correct? 6 + 4 × 2 − 8 ÷ 2 = 22

    Correct answer: A. + and ×

    Interchanging + and × gives 6 × 4 + 2 − 8 ÷ 2, which equals 22 by BODMAS. None of the other swaps gives 22.

    hard
  8. 8

    Which two signs should be interchanged to make this equation correct? 12 ÷ 3 − 4 + 2 × 5 = 5

    Correct answer: C. + and ÷

    Interchanging + and ÷ gives 12 + 3 − 4 ÷ 2 × 5, which equals 5 by BODMAS. None of the other swaps gives 5.

    hard
  9. 9

    Which two signs should be interchanged to make this equation correct? 9 × 3 + 15 ÷ 5 − 2 = 76

    Correct answer: B. × and ÷

    Interchanging × and ÷ gives 9 ÷ 3 + 15 × 5 − 2, which equals 76 by BODMAS. None of the other swaps gives 76.

    hard
  10. 10

    Which two signs should be interchanged to make this equation correct? 16 − 4 + 2 × 3 ÷ 6 = 19

    Correct answer: D. + and −

    Interchanging + and − gives 16 + 4 − 2 × 3 ÷ 6, which equals 19 by BODMAS. None of the other swaps gives 19.

    hard
  12. 11

    Which two signs should be interchanged to make this equation correct? 20 + 5 − 4 × 3 ÷ 2 = 21

    Correct answer: A. + and −

    Interchanging + and − gives 20 − 5 + 4 × 3 ÷ 2, which equals 21 by BODMAS. None of the other swaps gives 21.

    hard
  13. 12

    Which two signs should be interchanged to make this equation correct? 8 ÷ 2 + 6 − 3 × 4 = 18

    Correct answer: B. − and ×

    Interchanging − and × gives 8 ÷ 2 + 6 × 3 − 4, which equals 18 by BODMAS. None of the other swaps gives 18.

    hard
  14. 13

    Simplify using BODMAS: 45 ÷ 9 × 3 + 8 − 6 = ?

    Correct answer: A. 17

    45 ÷ 9 = 5, 5 × 3 = 15, then 15 + 8 − 6 = 17. Working strictly from left to right would give a wrong answer.

    easy
  15. 14

    Simplify using BODMAS: 72 ÷ 8 + 6 × 4 − 10 = ?

    Correct answer: B. 23

    72 ÷ 8 = 9 and 6 × 4 = 24, then 9 + 24 − 10 = 23. Working strictly from left to right would give a wrong answer.

    easy
  16. 15

    Simplify using BODMAS: 100 − 48 ÷ 6 × 5 + 3 = ?

    Correct answer: C. 63

    48 ÷ 6 = 8, 8 × 5 = 40, then 100 − 40 + 3 = 63. Working strictly from left to right would give a wrong answer.

    easy
  17. 16

    Simplify using BODMAS: 15 + 27 ÷ 3 × 2 − 11 = ?

    Correct answer: D. 22

    27 ÷ 3 = 9, 9 × 2 = 18, then 15 + 18 − 11 = 22. Working strictly from left to right would give a wrong answer.

    easy
  18. 17

    Simplify using BODMAS: 64 ÷ 4 ÷ 2 + 9 × 3 = ?

    Correct answer: A. 35

    64 ÷ 4 = 16, 16 ÷ 2 = 8 and 9 × 3 = 27, then 8 + 27 = 35. Working strictly from left to right would give a wrong answer.

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    easy
  19. 18

    Simplify using BODMAS: 7 × 8 − 36 ÷ 4 + 5 = ?

    Correct answer: B. 52

    7 × 8 = 56 and 36 ÷ 4 = 9, then 56 − 9 + 5 = 52. Working strictly from left to right would give a wrong answer.

    easy
  20. 19

    Simplify using BODMAS: 120 ÷ (8 + 4) × 3 − 6 = ?

    Correct answer: C. 24

    Brackets first: 8 + 4 = 12, 120 ÷ 12 = 10, 10 × 3 = 30, then 30 − 6 = 24. Working strictly from left to right would give a wrong answer.

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    easy
  21. 20

    Simplify using BODMAS: (18 − 6) × (9 ÷ 3) + 4 = ?

    Correct answer: D. 40

    Brackets first: 12 × 3 = 36, then 36 + 4 = 40. Working strictly from left to right would give a wrong answer.

    easy