Directions: Using the digits 0 to 9, at most one time each, place a digit in each box to create an accurate number line. How many solutions can you find?
Hint
Encourage students to try different approaches to find multiple answers.
Fill in the percent and the part and calculate whole values.
Fill in percent and whole value and calculate the part.
Answer
Number of Unique Solutions: 64
1: 13/20 = 65%
2: 13/26 = 50%
3: 13/50 = 26%
4: 13/65 = 20%
5: 14/28 = 50%
6: 14/50 = 28%
7: 16/32 = 50%
8: 16/50 = 32%
9: 17/20 = 85%
10: 17/25 = 68%
11: 17/34 = 50%
12: 17/50 = 34%
13: 17/68 = 25%
14: 17/85 = 20%
15: 18/24 = 75%
16: 18/36 = 50%
17: 18/50 = 36%
18: 18/75 = 24%
19: 19/25 = 76%
20: 19/38 = 50%
21: 19/50 = 38%
22: 19/76 = 25%
23: 21/35 = 60%
24: 21/60 = 35%
25: 23/46 = 50%
26: 23/50 = 46%
27: 27/45 = 60%
28: 27/60 = 45%
29: 31/50 = 62%
30: 31/62 = 50%
31: 32/50 = 64%
32: 32/64 = 50%
33: 34/50 = 68%
34: 34/68 = 50%
35: 36/45 = 80%
36: 36/48 = 75%
37: 36/50 = 72%
38: 36/72 = 50%
39: 36/75 = 48%
40: 36/80 = 45%
41: 38/40 = 95%
42: 38/50 = 76%
43: 38/76 = 50%
44: 38/95 = 40%
45: 39/50 = 78%
46: 39/78 = 50%
47: 4/16 = 25%
48: 4/25 = 16%
49: 41/50 = 82%
50: 41/82 = 50%
51: 43/50 = 86%
52: 43/86 = 50%
53: 46/50 = 92%
54: 46/92 = 50%
55: 48/50 = 96%
56: 48/96 = 50%
57: 63/75 = 84%
58: 63/84 = 75%
59: 76/80 = 95%
60: 76/95 = 80%
61: 9/12 = 75%
62: 9/25 = 36%
63: 9/36 = 25%
64: 9/75 = 12%
Source: Adrianne Burns
