Let’s solve each problem step by step. We’ll follow the order of operations: do what’s inside parentheses first, then add and subtract from left to right.
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1) 2 + 24 + 40 + 39 – (33 – 30)
First, solve inside parentheses:
33 – 30 = 3
Now: 2 + 24 + 40 + 39 – 3
Add left to right:
2 + 24 = 26
26 + 40 = 66
66 + 39 = 105
105 – 3 =
102
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2) 2 + 24 + 40 + 39 – 33 – 30
No parentheses — just go left to right:
2 + 24 = 26
26 + 40 = 66
66 + 39 = 105
105 – 33 = 72
72 – 30 =
42
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3) (34 – 24) + (3 + 39) – (3 + 38)
Solve each parentheses:
34 – 24 = 10
3 + 39 = 42
3 + 38 = 41
Now: 10 + 42 – 41
10 + 42 = 52
52 – 41 =
11
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4) 36 + 39 – (34 – 12) – 20 + 9
Parentheses first: 34 – 12 = 22
Now: 36 + 39 – 22 – 20 + 9
Left to right:
36 + 39 = 75
75 – 22 = 53
53 – 20 = 33
33 + 9 =
42
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5) (17 + 8 + 26 – 15 – 5) + 10
Do inside parentheses first:
17 + 8 = 25
25 + 26 = 51
51 – 15 = 36
36 – 5 = 31
Then: 31 + 10 =
41
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6) 38 – 6 + 17 + 29 – (36 + 10)
Parentheses: 36 + 10 = 46
Now: 38 – 6 + 17 + 29 – 46
Left to right:
38 – 6 = 32
32 + 17 = 49
49 + 29 = 78
78 – 46 =
32
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7) 39 – (15 – 14) + (40 – 38 – 1)
Parentheses:
15 – 14 = 1
40 – 38 = 2; 2 – 1 = 1
Now: 39 – 1 + 1
39 – 1 = 38
38 + 1 =
39
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8) (26 + 14) – (15 + 15) – (3 + 7)
Parentheses:
26 + 14 = 40
15 + 15 = 30
3 + 7 = 10
Now: 40 – 30 – 10
40 – 30 = 10
10 – 10 =
0
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9) 44 – (54 – 20 – 10 – 5 – 5)
Inside parentheses:
54 – 20 = 34
34 – 10 = 24
24 – 5 = 19
19 – 5 = 14
Now: 44 – 14 =
30
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10) 24 + 29 – (24 – 17 + 4) + 10
Parentheses:
24 – 17 = 7
7 + 4 = 11
Now: 24 + 29 – 11 + 10
Left to right:
24 + 29 = 53
53 – 11 = 42
42 + 10 =
52
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11) 39 + 27 + 4 – 31 – (18 – 12)
Parentheses: 18 – 12 = 6
Now: 39 + 27 + 4 – 31 – 6
Left to right:
39 + 27 = 66
66 + 4 = 70
70 – 31 = 39
39 – 6 =
33
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12) 35 + (36 – 25 + 27) – 30 – 13
Parentheses:
36 – 25 = 11
11 + 27 = 38
Now: 35 + 38 – 30 – 13
Left to right:
35 + 38 = 73
73 – 30 = 43
43 – 13 =
30
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Final Answer:
1) 102
2) 42
3) 11
4) 42
5) 41
6) 32
7) 39
8) 0
9) 30
10) 52
11) 33
12) 30
Parent Tip: Review the logic above to help your child master the concept of year five maths worksheet.
