24点题目：使用数字 1 2 4 12，利用加减乘除、括号算出24。数字顺序可以任意调换，下面列出所有可行算式。
本题共有81个解（使用交换律变换后算一个解）,
难度系数是3星
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中等偏易24点题目
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| 序号 |
题目：1,2,4,12 |
| 1 |
(12 × (4 − 2)) × 1 |
| 2 |
(12 × 1) × (4 − 2) |
| 3 |
(12 − 4) × (2 + 1) |
| 4 |
12 × ((4 − 2) × 1) |
| 5 |
12 × ((4 × 1) − 2) |
| 6 |
12 × (4 − (2 × 1)) |
| 7 |
12 + (4 × (2 + 1)) |
| 8 |
((12 × 4) × 1) ÷ 2 |
| 9 |
((12 × 1) × 4) ÷ 2 |
| 10 |
((12 × 4) ÷ 1) ÷ 2 |
| 11 |
((12 ÷ 1) × 4) ÷ 2 |
| 12 |
((12 ÷ 2) ÷ 1) × 4 |
| 13 |
((12 ÷ 2) × 1) × 4 |
| 14 |
((12 ÷ 2) × 4) × 1 |
| 15 |
((12 ÷ 1) ÷ 2) × 4 |
| 16 |
((12 ÷ 2) × 4) ÷ 1 |
| 17 |
((12 × 1) ÷ 2) × 4 |
| 18 |
((12 × 4) ÷ 2) × 1 |
| 19 |
((12 × 4) ÷ 2) ÷ 1 |
| 20 |
(12 ÷ 2) × (4 ÷ 1) |
| 21 |
(12 ÷ 1) × (4 ÷ 2) |
| 22 |
(12 × 4) ÷ (2 ÷ 1) |
| 23 |
(12 ÷ (2 × 1)) × 4 |
| 24 |
(12 ÷ 1) × (4 − 2) |
| 25 |
(12 × (4 − 2)) ÷ 1 |
| 26 |
(12 ÷ (2 ÷ 1)) × 4 |
| 27 |
(12 × 1) × (4 ÷ 2) |
| 28 |
(12 × (4 ÷ 2)) ÷ 1 |
| 29 |
(12 × (4 ÷ 1)) ÷ 2 |
| 30 |
(12 × 4) ÷ (2 × 1) |
| 31 |
(12 × (4 × 1)) ÷ 2 |
| 32 |
(12 ÷ 2) × (4 × 1) |
| 33 |
(12 × (4 ÷ 2)) × 1 |
| 34 |
12 × (4 − (2 ÷ 1)) |
| 35 |
12 × (4 ÷ (2 ÷ 1)) |
| 36 |
12 × ((4 ÷ 2) × 1) |
| 37 |
12 × ((4 ÷ 1) − 2) |
| 38 |
12 × ((4 × 1) ÷ 2) |
| 39 |
12 × ((4 ÷ 1) ÷ 2) |
| 40 |
12 × ((4 ÷ 2) ÷ 1) |
| 41 |
12 × ((4 − 2) ÷ 1) |
| 42 |
12 × (4 ÷ (2 × 1)) |
| 43 |
(4 ÷ (1 ÷ 12)) ÷ 2 |
| 44 |
(12 ÷ (1 ÷ 4)) ÷ 2 |
| 45 |
(4 × 1) ÷ (2 ÷ 12) |
| 46 |
(1 ÷ (2 ÷ 12)) × 4 |
| 47 |
(12 × (1 ÷ 2)) × 4 |
| 48 |
(4 ÷ (2 ÷ 12)) × 1 |
| 49 |
(4 ÷ 2) ÷ (1 ÷ 12) |
| 50 |
(4 ÷ (2 ÷ 12)) ÷ 1 |
| 51 |
(4 ÷ 1) ÷ (2 ÷ 12) |
| 52 |
(12 × 4) × (1 ÷ 2) |
| 53 |
(12 × 1) ÷ (2 ÷ 4) |
| 54 |
(12 ÷ 1) ÷ (2 ÷ 4) |
| 55 |
(12 ÷ (2 ÷ 4)) ÷ 1 |
| 56 |
(4 − 2) ÷ (1 ÷ 12) |
| 57 |
(12 ÷ (2 ÷ 4)) × 1 |
| 58 |
(12 ÷ 2) ÷ (1 ÷ 4) |
| 59 |
1 ÷ (2 ÷ (12 × 4)) |
| 60 |
12 ÷ ((2 ÷ 1) ÷ 4) |
| 61 |
1 ÷ ((2 ÷ 12) ÷ 4) |
| 62 |
12 ÷ ((2 × 1) ÷ 4) |
| 63 |
4 ÷ (2 ÷ (12 ÷ 1)) |
| 64 |
12 × (4 × (1 ÷ 2)) |
| 65 |
4 ÷ ((2 ÷ 12) ÷ 1) |
| 66 |
12 ÷ (2 × (1 ÷ 4)) |
| 67 |
12 × (1 ÷ (2 ÷ 4)) |
| 68 |
12 ÷ (2 ÷ (4 × 1)) |
| 69 |
12 ÷ (1 ÷ (4 ÷ 2)) |
| 70 |
12 ÷ (1 ÷ (4 − 2)) |
| 71 |
4 ÷ (2 ÷ (12 × 1)) |
| 72 |
4 ÷ (1 × (2 ÷ 12)) |
| 73 |
12 ÷ (1 − (2 ÷ 4)) |
| 74 |
4 ÷ ((2 × 1) ÷ 12) |
| 75 |
12 ÷ (1 × (2 ÷ 4)) |
| 76 |
4 ÷ ((2 ÷ 1) ÷ 12) |
| 77 |
4 ÷ (2 × (1 ÷ 12)) |
| 78 |
12 ÷ ((2 ÷ 4) ÷ 1) |
| 79 |
12 ÷ (2 ÷ (4 ÷ 1)) |
| 80 |
1 ÷ ((2 ÷ 4) ÷ 12) |
| 81 |
4 ÷ (1 ÷ (12 ÷ 2)) |