BIDMAS
BIDMAS - The correct order to evaluate arithmetic
B:
I:
DM:
AS:
Anything in brackets is evaluated first.
Any number with indices is evaluated next.
Then divison and multiplication.
Finally addition and subtraction is evaluated in the order that it is written.
Exercise A
Evaluate
1. 2 + 3 x 5
2. 5 x 2 + 6
3. 20 – 2 x 4
4. 30 - 52
5. 6 + 32 x 2
6. 4 x 5 - (6 + 9)
7. 28 ÷ 4 + 3
8. (17 – 2) ÷ 3
9. 20 ÷ (2 + 3)
10. (24 – 6) ÷ 3
11. 30 – 9 x 2
12. (45 – 5) ÷ 8 + 2
13. 20 + 2 x 32
14. 15 ÷ 3 + 2
15. 52 – 2 x 4
16. 24 ÷ 3 + 5
17. 12 – 3 x 22
18. 18 + 10 ÷ 2
19. (6 x 3 + 2) ÷ (4 + 2 x 3)
20. 50 – 16 ÷ 2 + 6
21. 7 x 6 – 5 x 4 + 1 x 3
22. 7 x (15 – 3 x 2)
23. 40 ÷ (2 + 3 x 2)
24. 60 – (72 + 2 x 5)
25. 36 ÷ 32 + (12 ÷ 3)2
26. 22 + 62 ÷ 2 + 1
27. 10 – (9 ÷ 32 + 4)
28. 6 + 2(3 + 22)
29. 5(9 – 3 x 2)
30. 2 x 3 + 24 ÷ 6
31.
14 + 3 x (9 + 3)
6x4+1
32.
34. 1 + 32 x 4 – 3 x 23
Exercise B
8+9x3
6-1
33. 1 + 3 x (62 – 4 x 32 + 8)
35. (10 + 2 x 42) ÷ 6 + 3 x 5
36. ((3 x 52 – 3) ÷ (32 + 3) x 22
Insert brackets to make each calculation correct. We only add brackets when
needed so some questions will not need brackets, which ones?
1. 14 + 1 ÷ 3 = 5
2. 18 ÷ 6 + 3 = 2
3. 20 ÷ 4 + 1 = 6
4. 16 – 12 ÷ 4 = 13
5. 6 + 5 x 2 = 22
6. 12 - 3 x 2 = 18
7. 7 x 2 + 3 + 1 = 36
8. 30 - 2 ÷ 2 + 5 = 4
9. 24 - 4 x 5 - 1 = 3
10. 16 + 4 x 2 ÷ 5 = 8
11. 16 + 4 x 2 ÷ 3 = 8
Exercise C
1. 10
2
Insert the correct symbols: ( , ) , + , - , x , ÷ to make each calculation correct.
3 = 16
2. 30
4. 5
4
3 = 27
5. 2
7. 4
24
8 = 1
8. 20
10. 17
4
4
3 = 3
11. 3
13. 16
5
3
1 = 3
14. 5
16. 4
4
12. 20 + 12 ÷ 3 + 1 = 23
6
3
5 = 5
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2
4
3 = 24
3. 30
2
3 = 11
6. 4
3 = 5
9. 17
3
2 = 7
5
4 = 27
12. 40
5
3 = 5
4
6
15. 5
5
2 = 25
17. 18 2 4 1 6 = 8
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4
3 = 18
4
2
14
7 = 30
2 = 13
18. 5 4 3 1 2 1 = 12
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BIDMAS
Answers
Exercise A
1.
17
2.
16
3.
12
4.
5
5.
24
6.
5
7.
10
8.
5
9.
4
10. 6
11. 12
12. 7
13. 38
14. 7
15. 17
16. 13
17. 0
18. 23
19. 2
20. 48
21. 25
22. 63
23. 5
24. 1
25. 20
26. 41
27. 5
28. 20
29. 15
30. 10
31. 2
32. 7
33. 25
34. 13
35. 22
36. 24
Exercise B
1. (14 + 1) ÷ 3 = 5
2. 18 ÷ (6 + 3) = 2
3. 20 ÷ 4 + 1 = 6 (none)
4. 16 - 12 ÷ 4 = 13 (none)
5. (6 + 5) x 2 = 22
6. (12 - 3) x 2 = 18
7. 7 x (2 + 3) + 1 = 36
8. (30 - 2) ÷ (2 + 5) = 4
9. 24 - 4 x 5 - 1 = 3 (none)
10. (16 + 4) x 2 ÷ 5 = 8
11. (16 + 4 x 2) ÷ 3 = 8
12. 20 + 12 ÷ (3 + 1) = 23
Exercise C
1. 10 + 2 x 3 = 16
2. 30 - 2 x 3 = 24
3. 30 ÷ 2 + 3 = 18
4. (5 + 4) x 3 = 27
5. 2 x 4 + 3 = 11
6. 4 x 4 + 2 x 7 = 30
7. 4 - 24 ÷ 8 = 1
8. (20 - 5) ÷ 3 = 5 or 20 - 5 x 3 = 5
9. (17 - 3) ÷ 2 = 7
10. (17 + 4) ÷ (4 + 3) = 3 or (17 – 4 – 4) ÷ 3 = 3
11. 3 x (5 + 4) = 27
12. 40 ÷ (5 + 3) = 5 or 40 ÷ 5 - 3 = 5
13. 16 ÷ (5 + 3) + 1 = 3
14. 5 x (4 + 6) ÷ 2 = 25
15. 5 x 4 - 14 ÷ 2 = 13
16. 4 x (4 + 6) ÷ (3 + 5) = 5 or 4 ÷ 4 + 6 + 3 – 5 = 5 or (4 x 4 + 6 + 3) ÷ 5 = 5
or 4 + 4 + 6 ÷ 3 - 5 = 5
17. 18 ÷ (2 x 4 + 1) + 6 = 8 or 18 ÷ 2 + 4 + 1 – 6 = 8
18. (5 x (4 + 3) + 1) ÷ (2 + 1) = 12 or 5 + 4 + 3 + 1 – 2 + 1 = 12 or 5 + 4 + 3 – 1 + 2 – 1 = 12
or (5 - 4) x (3 + 1) x (2 + 1) = 12
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