## Positive Number Line - Sample Math Practice Problems

The math problems below can be generated by MathScore.com, a math practice program for schools and individual families. References to complexity and mode refer to the overall difficulty of the problems as they appear in the main program. In the main program, all problems are automatically graded and the difficulty adapts dynamically based on performance. Answers to these sample questions appear at the bottom of the page. This page does not grade your responses.

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### Complexity=2, Mode=1

Choose one or more answers that represent the point in the number line
 1.          33.75        33.5        331/2        333/4        34 2.          181/3        18.5        19        181/2        18

### Complexity=4, Mode=1

Choose one or more answers that represent the point in the number line
 1.          242/3        241/2        25        24        241/3 2.          11        111/3        111/2        11.5        12

### Complexity=6, Mode=2

Choose one or more answers that represent the point in the number line
 1.          30.4        30.75        302/3        302/5        303/4 2.          7        71/2        8        7.5        72/3

### Complexity=8, Mode=2

Choose one or more answers that represent the point in the number line
 1.          55/7        56/7        52/7        6        55/6 2.          95/6        91/3        92/3        91/8        10

### Complexity=10, Mode=3

Choose one or more answers that represent the point in the number line
 1.          31/2        31/4        29/6        3.5        4 2.          2110/3        24.75        241/4        243/4        241/3

## Answers

### Complexity=2, Mode=1

Choose one or more answers that represent the point in the number line
#ProblemCorrect AnswerYour Answer
1

33.75        33.5        331/2        333/4        34
Solution
33 1/2
The whole number is 33 because the point is between 32 and 34
The numerator is 1 because the point is 1 notch to the right.
33.5 is decimal value of 331/2
33.5 = 33 + 5/10
= 331/2
#ProblemCorrect AnswerYour Answer
2

181/3        18.5        19        181/2        18
Solution
18
The whole number is 18 because the point is at 18.

### Complexity=4, Mode=1

Choose one or more answers that represent the point in the number line
#ProblemCorrect AnswerYour Answer
1

242/3        241/2        25        24        241/3
Solution
24
The whole number is 24 because the point is at 24.
#ProblemCorrect AnswerYour Answer
2

11        111/3        111/2        11.5        12
Solution
11
The whole number is 11 because the point is at 11.

### Complexity=6, Mode=2

Choose one or more answers that represent the point in the number line
#ProblemCorrect AnswerYour Answer
1

30.4        30.75        302/3        302/5        303/4
Solution
30 3/4
The whole number is 30 because the point is between 29 and 31
The numerator is 3 because the point is 3 notches to the right.
The denominator is 4 because there are 4 equal parts between 30 and 31

30.75 is decimal value of 303/4
30.75 = 30 + 75/100
= 303/4
#ProblemCorrect AnswerYour Answer
2

7        71/2        8        7.5        72/3
Solution
7
The whole number is 7 because the point is at 7.

### Complexity=8, Mode=2

Choose one or more answers that represent the point in the number line
#ProblemCorrect AnswerYour Answer
1

55/7        56/7        52/7        6        55/6
Solution
5 6/7
The whole number is 5 because the point is between 4 and 6
The numerator is 6 because the point is 6 notches to the right.
The denominator is 7 because there are 7 equal parts between 5 and 6

#ProblemCorrect AnswerYour Answer
2

95/6        91/3        92/3        91/8        10
Solution
9 5/6
The whole number is 9 because the point is between 8 and 10
The numerator is 5 because the point is 5 notches to the right.
The denominator is 6 because there are 6 equal parts between 9 and 10

### Complexity=10, Mode=3

Choose one or more answers that represent the point in the number line
#ProblemCorrect AnswerYour Answer
1

31/2        31/4        29/6        3.5        4
Solution
3 3/6
The whole number is 3 because the point is between 2 and 4
The numerator is 3 because the point is 3 notches to the right.
The denominator is 6 because there are 6 equal parts between 3 and 4

31/2
31/2 is simple fraction of 3 3/6

29/6 if simplified equal to 31/2.
29/6 = 2 + 96
= 29/6

3.5 is decimal value of 31/2
3.5 = 3 + 5/10
= 31/2
#ProblemCorrect AnswerYour Answer
2

2110/3        24.75        241/4        243/4        241/3
Solution
24 1/3
The whole number is 24 because the point is between 23 and 25
The numerator is 1 because the point is 1 notch to the right.
2110/3 if simplified equal to 241/3.
2110/3 = 21 + 103
= 2110/3

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