Order of Operations Textbook Exercise - Corbettmaths - Free Printable

Let's solve the problems step by step using the order of operations, following BODMAS:

> Brackets
> Orders (powers/indices)
> Division and Multiplication (from left to right)
> Addition and Subtraction (from left to right)

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✔ Question 1: Work out

We'll go through each part.

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(a) $ 7 + 2 \times 3 $
→ Multiply first: $ 2 \times 3 = 6 $
→ Then add: $ 7 + 6 = 13 $
✔ Answer: 13

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(b) $ 9 + 4 \times 2 $
→ Multiply: $ 4 \times 2 = 8 $
→ Add: $ 9 + 8 = 17 $
✔ Answer: 17

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(c) $ 10 + 2 \times 2 $
→ Multiply: $ 2 \times 2 = 4 $
→ Add: $ 10 + 4 = 14 $
✔ Answer: 14

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(d) $ 18 + 4 \div 2 $
→ Divide: $ 4 \div 2 = 2 $
→ Add: $ 18 + 2 = 20 $
✔ Answer: 20

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(e) $ 20 - 5 \times 2 $
→ Multiply: $ 5 \times 2 = 10 $
→ Subtract: $ 20 - 10 = 10 $
✔ Answer: 10

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(f) $ 8 - 2 \times 3 $
→ Multiply: $ 2 \times 3 = 6 $
→ Subtract: $ 8 - 6 = 2 $
✔ Answer: 2

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(g) $ 21 - 9 \div 3 $
→ Divide: $ 9 \div 3 = 3 $
→ Subtract: $ 21 - 3 = 18 $
✔ Answer: 18

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(h) $ 100 - 40 \times 2 $
→ Multiply: $ 40 \times 2 = 80 $
→ Subtract: $ 100 - 80 = 20 $
✔ Answer: 20

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(i) $ 16 \div 1 - 3 $
→ Divide: $ 16 \div 1 = 16 $
→ Subtract: $ 16 - 3 = 13 $
✔ Answer: 13

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(j) $ 5 + 5 \times 5 $
→ Multiply: $ 5 \times 5 = 25 $
→ Add: $ 5 + 25 = 30 $
✔ Answer: 30

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(k) $ 13 - 7 \div 1 $
→ Divide: $ 7 \div 1 = 7 $
→ Subtract: $ 13 - 7 = 6 $
✔ Answer: 6

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(l) $ 7 \times 6 - 4 $
→ Multiply: $ 7 \times 6 = 42 $
→ Subtract: $ 42 - 4 = 38 $
✔ Answer: 38

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(m) $ 9 + 3 - 2 $
→ Left to right: $ 9 + 3 = 12 $, then $ 12 - 2 = 10 $
✔ Answer: 10

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(n) $ 20 - 5 + 6 $
→ Left to right: $ 20 - 5 = 15 $, then $ 15 + 6 = 21 $
✔ Answer: 21

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(o) $ 21 - 17 + 4 $
→ $ 21 - 17 = 4 $, then $ 4 + 4 = 8 $
✔ Answer: 8

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(p) $ 30 \times 4 \div 2 $
→ Left to right: $ 30 \times 4 = 120 $, then $ 120 \div 2 = 60 $
✔ Answer: 60

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(q) $ (7 + 7) \div 2 $
→ Brackets first: $ 7 + 7 = 14 $
→ Divide: $ 14 \div 2 = 7 $
✔ Answer: 7

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(r) $ 35 - (9 + 3) $
→ Brackets: $ 9 + 3 = 12 $
→ Subtract: $ 35 - 12 = 23 $
✔ Answer: 23

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(s) $ 40 \times (2 + 3) $
→ Brackets: $ 2 + 3 = 5 $
→ Multiply: $ 40 \times 5 = 200 $
✔ Answer: 200

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(t) $ 60 \div (1 + 5) $
→ Brackets: $ 1 + 5 = 6 $
→ Divide: $ 60 \div 6 = 10 $
✔ Answer: 10

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(u) $ 15 \div (3 + 2) $
→ Brackets: $ 3 + 2 = 5 $
→ Divide: $ 15 \div 5 = 3 $
✔ Answer: 3

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(v) $ 9 \times (7 + 4) $
→ Brackets: $ 7 + 4 = 11 $
→ Multiply: $ 9 \times 11 = 99 $
✔ Answer: 99

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(w) $ 90 \div (52 - 7) $
→ Brackets: $ 52 - 7 = 45 $
→ Divide: $ 90 \div 45 = 2 $
✔ Answer: 2

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(x) $ (8 + 9) \times 3 $
→ Brackets: $ 8 + 9 = 17 $
→ Multiply: $ 17 \times 3 = 51 $
✔ Answer: 51

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(y) $ 10 + 5 + 3 \times 3 $
→ Multiply first: $ 3 \times 3 = 9 $
→ Now: $ 10 + 5 + 9 = 24 $
✔ Answer: 24

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(z) $ 100 - 6 + 2 \times 3 $
→ Multiply: $ 2 \times 3 = 6 $
→ Now: $ 100 - 6 + 6 $ → Left to right: $ 100 - 6 = 94 $, then $ 94 + 6 = 100 $
✔ Answer: 100

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✔ Question 2: Work out

Now handle powers (orders).

(a) $ 5 - 2^2 $
→ Power first: $ 2^2 = 4 $
→ Subtract: $ 5 - 4 = 1 $
✔ Answer: 1

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(b) $ 7 + 3^2 $
→ Power: $ 3^2 = 9 $
→ Add: $ 7 + 9 = 16 $
✔ Answer: 16

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(c) $ 9^2 + 1 $
→ Power: $ 9^2 = 81 $
→ Add: $ 81 + 1 = 82 $
✔ Answer: 82

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(d) $ 6^2 - 5^2 $
→ Powers: $ 6^2 = 36 $, $ 5^2 = 25 $
→ Subtract: $ 36 - 25 = 11 $
✔ Answer: 11

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✔ Final Answers Summary

#### Question 1:
(a) 13
(b) 17
(c) 14
(d) 20
(e) 10
(f) 2
(g) 18
(h) 20
(i) 13
(j) 30
(k) 6
(l) 38
(m) 10
(n) 21
(o) 8
(p) 60
(q) 7
(r) 23
(s) 200
(t) 10
(u) 3
(v) 99
(w) 2
(x) 51
(y) 24
(z) 100

#### Question 2:
(a) 1
(b) 16
(c) 82
(d) 11

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💡 Tip: Always remember BODMAS — especially that multiplication and division are done left to right, same with addition and subtraction. Brackets and powers come first!

Let me know if you'd like a printable version or explanation in video form!