Printable math worksheet for practicing integer operations, designed as a ten-minute challenge with 99 questions covering addition, subtraction, multiplication, and division.

Let's solve the "Operations with Integers: Ten Minute Challenge" step by step. This worksheet includes a mix of addition, subtraction, multiplication, and division involving positive and negative integers.

We'll go through each problem using basic rules for integer operations:

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🔢 Rules to Remember:

1. Multiplication & Division:
- Positive × Positive = Positive
- Negative × Negative = Positive
- Positive × Negative = Negative
- Same rule applies for division.

2. Addition & Subtraction:
- When signs are the same: Add absolute values, keep sign.
- When signs are different: Subtract smaller from larger, take sign of larger.
- Subtracting a negative is the same as adding a positive:
$ a - (-b) = a + b $

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Now let’s compute each answer.

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✔ Solutions:

#### Column 1 (Problems 1–33)

1) $ 3 \times -4 = -12 $
2) $ -1 \times 9 = -9 $
3) $ -5 \times -8 = 40 $
4) $ 7 \times -3 = -21 $
5) $ -6 \times 4 = -24 $
6) $ -2 \times -2 = 4 $
7) $ 7 \times -9 = -63 $
8) $ -4 \times 5 = -20 $
9) $ -8 \times -6 = 48 $
10) $ -11 \times 7 = -77 $
11) $ 12 \times -3 = -36 $
12) $ -6 \times -9 = 54 $
13) $ -10 \times 12 = -120 $
14) $ -9 \times 4 = -36 $
15) $ 12 \times 12 = 144 $
16) $ 8 \div -2 = -4 $
17) $ -12 \div -6 = 2 $
18) $ -15 \div 3 = -5 $
19) $ 9 \div 3 = 3 $
20) $ -18 \div -3 = 6 $
21) $ -27 \div 9 = -3 $
22) $ -32 \div -4 = 8 $
23) $ 24 \div -6 = -4 $
24) $ -48 \div -12 = 4 $
25) $ 56 \div -8 = -7 $
26) $ 25 \div -5 = -5 $
27) $ -42 \div -7 = 6 $
28) $ 72 \div 6 = 12 $
29) $ -84 \div -12 = 7 $
30) $ -16 \div 4 = -4 $
31) $ -2 + 5 = 3 $
32) $ 6 - 8 = -2 $
33) $ 4 - 7 = -3 $

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#### Column 2 (Problems 34–66)

34) $ -3 + 1 = -2 $
35) $ -5 - 2 = -7 $
36) $ 6 - 7 = -1 $
37) $ -9 + 5 = -4 $
38) $ 21 - 26 = -5 $
39) $ -18 + 7 = -11 $
40) $ 3 + (-2) = 1 $
41) $ 1 - (+4) = 1 - 4 = -3 $
42) $ 5 - (-6) = 5 + 6 = 11 $
43) $ 8 + (-2) = 6 $
44) $ -3 - (-2) = -3 + 2 = -1 $
45) $ 12 + (-9) = 3 $
46) $ -6 + (-7) = -13 $
47) $ -4 - (+3) = -4 - 3 = -7 $
48) $ 18 - (-13) = 18 + 13 = 31 $
49) $ -3 - (-7) = -3 + 7 = 4 $
50) $ -16 + (-2) = -18 $
51) $ -5 \times -4 = 20 $
52) $ -1 \times -8 = 8 $
53) $ -3 \times -5 = 15 $
54) $ 9 \times -2 = -18 $
55) $ -7 \times 4 = -28 $
56) $ -1 \times -1 = 1 $
57) $ 8 \times -9 = -72 $
58) $ -4 \times 4 = -16 $
59) $ -12 \times -6 = 72 $
60) $ -11 \times 8 = -88 $
61) $ 12 \times -5 = -60 $
62) $ -8 \times -6 = 48 $
63) $ -7 \times 6 = -42 $
64) $ -9 \times 4 = -36 $
65) $ 11 \times 11 = 121 $
66) $ 9 \div -1 = -9 $

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#### Column 3 (Problems 67–99)

67) $ -33 \div -3 = 11 $
68) $ -12 \div 3 = -4 $
69) $ -18 \div -2 = 9 $
70) $ -18 \div -3 = 6 $
71) $ -54 \div 6 = -9 $
72) $ -35 \div -7 = 5 $
73) $ 36 \div -3 = -12 $
74) $ -49 \div -7 = 7 $
75) $ 66 \div -11 = -6 $
76) $ 27 \div -3 = -9 $
77) $ -40 \div -8 = 5 $
78) $ 90 \div 3 = 30 $
79) $ -40 \div -2 = 20 $
80) $ -130 \div 10 = -13 $
81) $ -10 + 30 = 20 $
82) $ 30 - 90 = -60 $
83) $ 40 - 50 = -10 $
84) $ -85 + 5 = -80 $
85) $ -70 - 10 = -80 $
86) $ 40 - 60 = -20 $
87) $ -120 + 80 = -40 $
88) $ 100 - 300 = -200 $
89) $ -150 + 90 = -60 $
90) $ 54 + (-72) = -18 $
91) $ 16 - (+41) = 16 - 41 = -25 $
92) $ 35 - (-62) = 35 + 62 = 97 $
93) $ 89 + (-111) = -22 $
94) $ -63 - (-24) = -63 + 24 = -39 $
95) $ 14 + (-37) = -23 $
96) $ -88 + (-19) = -107 $
97) $ -47 - (+32) = -47 - 32 = -79 $
98) $ 16 - (-56) = 16 + 56 = 72 $
99) $ 146 + (-200) = -54 $

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✔ Final Answers (All):

| # | Answer |
|---|--------|
| 1 | -12 |
| 2 | -9 |
| 3 | 40 |
| 4 | -21 |
| 5 | -24 |
| 6 | 4 |
| 7 | -63 |
| 8 | -20 |
| 9 | 48 |
| 10 | -77 |
| 11 | -36 |
| 12 | 54 |
| 13 | -120 |
| 14 | -36 |
| 15 | 144 |
| 16 | -4 |
| 17 | 2 |
| 18 | -5 |
| 19 | 3 |
| 20 | 6 |
| 21 | -3 |
| 22 | 8 |
| 23 | -4 |
| 24 | 4 |
| 25 | -7 |
| 26 | -5 |
| 27 | 6 |
| 28 | 12 |
| 29 | 7 |
| 30 | -4 |
| 31 | 3 |
| 32 | -2 |
| 33 | -3 |
| 34 | -2 |
| 35 | -7 |
| 36 | -1 |
| 37 | -4 |
| 38 | -5 |
| 39 | -11 |
| 40 | 1 |
| 41 | -3 |
| 42 | 11 |
| 43 | 6 |
| 44 | -1 |
| 45 | 3 |
| 46 | -13 |
| 47 | -7 |
| 48 | 31 |
| 49 | 4 |
| 50 | -18 |
| 51 | 20 |
| 52 | 8 |
| 53 | 15 |
| 54 | -18 |
| 55 | -28 |
| 56 | 1 |
| 57 | -72 |
| 58 | -16 |
| 59 | 72 |
| 60 | -88 |
| 61 | -60 |
| 62 | 48 |
| 63 | -42 |
| 64 | -36 |
| 65 | 121 |
| 66 | -9 |
| 67 | 11 |
| 68 | -4 |
| 69 | 9 |
| 70 | 6 |
| 71 | -9 |
| 72 | 5 |
| 73 | -12 |
| 74 | 7 |
| 75 | -6 |
| 76 | -9 |
| 77 | 5 |
| 78 | 30 |
| 79 | 20 |
| 80 | -13 |
| 81 | 20 |
| 82 | -60 |
| 83 | -10 |
| 84 | -80 |
| 85 | -80 |
| 86 | -20 |
| 87 | -40 |
| 88 | -200 |
| 89 | -60 |
| 90 | -18 |
| 91 | -25 |
| 92 | 97 |
| 93 | -22 |
| 94 | -39 |
| 95 | -23 |
| 96 | -107 |
| 97 | -79 |
| 98 | 72 |
| 99 | -54 |

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🎯 Summary:

- The challenge involves mastering integer operations.
- Key concepts: Sign rules, order of operations, and understanding that subtracting a negative is addition.
- Practice like this builds fluency in arithmetic with signed numbers.

✔ All answers above are correct based on standard integer operation rules.

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