ORDER OF OPERATIONS 6-2 - Work out the value of these expressions - Answers

Oct 22, 2026

Practice set focused on order of operations, asking students to work out the value of algebraic and arithmetic expressions using brackets, fractions, and indices. The worksheet provides 20 numbered questions and a corresponding answers table that shows each working step and the final result. Topics include multiplication and division before addition and subtraction, simplifying parentheses, evaluating powers and mixed fractional terms, and handling negative intermediate values accurately.

LanguageEnglish

CategoryExam

FormatPDF

Pages2

Reading Time5 min

AccessFree to download

Order of Operations 6.2

Questions

Answers

Name Date ORDER OF OPERATIONS 6.2 Work out the value of these expressions. | 1) 4 + 7 x 3 – 6 | | --- | | 2) (7 + 11) ÷ 3 – 5 | | 3) 9 x (8 – 5) + 6 | | 4) 6 – 2 x 5 + 8 | | 5) 8 x 5 ÷ 4-9 | | 6) 4 – 7 x (5 – 3) + 6 | | 7) 30 –(10 – 8) x (4 + 3) | | 8) 4 x 8 – 7 x 6 | | 9) ½ x (12 + 6) -4 | | 10) 8 x ( ¾ + ¼ )– 5 | | 11) (5 + 4)2 | | 12) 52 –(3 + 2)2 | | 13) ½ x (23 – 9) + ¼ x (15 – 7) | | 14) 18 ÷ (22 + 5) | | 15) (62 + 12) ÷ (32 – 1) | | 16) ¾ x (5 + 12 ÷ 4) | | 17) (32 – 7) x (22 + 8) | | 18) 7 x 5 – 4 x 6 + 3 x 9 | | 19) 7 x 4 ÷ 2 + 5 x 3 | | 20) (52 – 7) ÷ (42 + 2) | Name Date ORDER OF OPERATIONS 6.2 ANSWERS Work out the value of these expressions. | | | Working Out | Answer | | --- | --- | --- | --- | | 1) | 4 + 7 x 3 – 6 | = 4 + 21 – 6 = 19 | 19 | | 2) | (7 + 11) ÷ 3 – 5 | = 18 ÷ 3 – 5 = 6 – 5 = 1 | 1 | | 3) | 9 x (8 – 5) + 6 | = 9 x 3 + 6 = 27 + 6 = 33 | 33 | | 4) | 6 – 2 x 5 + 8 | = 6 – 10 + 8 = 14 – 10 = 4 | 4 | | 5) | 8 x 5 ÷ 4-9 | = 40 ÷ 4 – 9 = 10 – 9 = 1 | 1 | | 6) | 4 – 7 x (5 – 3) + 6 | = 4 – 7 x 2 + 6 = 4 – 14 + 6 = -4 | -4 | | 7) | 30 –(10 – 8) x (4 + 3) | = 30 –(2) x (7) = 30 – 14 = 16 | 16 | | 8) | 4 x 8 – 7 x 6 | = 32 – 42 = -10 | -10 | | 9) | ½ x (12 + 6) -4 | = ½ x (18)–4 = 9 – 4 = 5 | 5 | | 10) | 8 x ( ¾ + ¼ )– 5 | = 8 x (1)–5 = 8 – 5 = 3 | 3 | | 11) | (5 + 4)2 | = 92 = 81 | 81 | | 12) | 52 –(3 + 2)2 | = 25 –(5)2 = 25 – 25 = 0 | 0 | | 13) | ½ x (23 – 9) + ¼ x (15 – 7) | = ½ x (14) + ¼ x (8) = 7 + 2 = 9 | 9 | | 14) | 18 ÷ (22 + 5) | = 18 ÷ (4 + 5) = 18 ÷ 9 = 2 | 2 | | 15) | (62 + 12) ÷ (32 – 1) | = (36 + 12) ÷ (9 – 1) = 48 ÷ 8 = 6 | 6 | | 16) | ¾ x (5 + 12 ÷ 4) | = ¾ x (5 + 3) = ¾ x (8) = 6 | 6 | | 17) | (32 – 7) x (22 + 8) | = (9 – 7) x (4 + 8) = (2) x (12) = 24 | 24 | | 18) | 7 x 5 – 4 x 6 + 3 x 9 | = 35 – 24 + 27 = 38 | 38 | | 19) | 7 x 4 ÷ 2 + 5 x 3 | = 28 ÷ 2 + 15 = 14 + 15 = 29 | 29 | | 20) | (52 – 7) ÷ (42 + 2) | = (25 – 7) ÷ (16 + 2) = 18 ÷ 18 = 1 | 1 |

FAQs

What is the topic of ORDER OF OPERATIONS 6.2?

It is a practice worksheet for working out the value of expressions using the correct order of operations.

Do the answers include working steps or just final answers?

Both are provided: each question has a working-out column and a final answer column.

Which kinds of expressions are included?

The set includes expressions with parentheses, addition/subtraction and multiplication/division, fractions, and powers (squared terms).

How should students handle negative results in the calculations?

Negative outcomes appear in the working and final answers, so students must carry signs correctly through each step.

Oct 22, 2026

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