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Percents on a Linear Model 4

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

Percents should be over 50% based on the placement on the number line.
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