Numerical: Simplification & BODMAS MCQ — 15 Practice Questions with Answers

Explanation

Solve each expression using BODMAS. For P, do multiplication and division before addition and subtraction: 9 + 6 × 4 − 12 ÷ 3 = 9 + 24 − 4 = 29. For Q, first solve the bracket: (9 + 6) = 15. Then 15 × 4 − 12 ÷ 3 = 60 − 4 = 56. For R, solve the bracket carefully: 12 ÷ 3 = 4, so (4 − 4) = 0. Therefore, R = 9 + 6 × 0 = 9. The matching is P=29, Q=56, R=9.

Explanation

Evaluate each expression separately by BODMAS. For P, 40 ÷ 5 + 6 × 3 = 8 + 18 = 26. For Q, solve the bracket first: (40 ÷ 5 + 6) × 3 = (8 + 6) × 3 = 14 × 3 = 42. For R, the bracket in the divisor gives (5 + 5) = 10, so 40 ÷ 10 + 6 × 3 = 4 + 18 = 22. Therefore the correct matching is P-26, Q-42, R-22.

Explanation

Apply BODMAS carefully. First evaluate the power: 5² = 25. In the remaining part, division and multiplication have the same priority, so work from left to right: 36 ÷ 6 × 2 = 6 × 2 = 12. Now substitute these values in the expression: 25 + 12 − 7. First add 25 + 12 = 37, then subtract 7. Thus, 37 − 7 = 30, so the correct value is 30.

Explanation

Use BODMAS: solve the bracket first, then division and multiplication, and finally addition. The bracket gives (5 + 3) = 8. Now substitute it in the expression: 72 ÷ 8 + 6 × 8. Division gives 72 ÷ 8 = 9, and multiplication gives 6 × 8 = 48. Add the two parts: 9 + 48 = 57. Therefore, the value of the given expression is 57. This follows the required order of operations.

Explanation

Check each statement by BODMAS. For option A, multiplication and division come first: 5 × 6 = 30 and 18 ÷ 3 = 6. Substituting these gives 45 + 30 − 6. Now add and subtract from left to right: 45 + 30 = 75 and 75 − 6 = 69. Thus option A is correct. The other statements use addition or subtraction before the required multiplication or division, so their stated values are not the actual BODMAS values.