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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 on the number line
1.  

       143/4        141/2        14.5        141/3        15
2.  

       -18        -171/2        -17.5        -173/4        -172/3

Complexity=4, Mode=1

Choose one or more answers that represent the point on the number line
1.  

       -39.5        -39        -391/3        -40        -391/2
2.  

       -10        -101/2        -11        -101/3        -102/3

Complexity=6, Mode=2

Choose one or more answers that represent the point on the number line
1.  

       141/2        15        14        14.5        141/3
2.  

       -284/5        -281/3        -28.8        -29        -282/3

Complexity=8, Mode=2

Choose one or more answers that represent the point on the number line
1.  

       -301/4        -30.5        -302/3        -301/2        -31
2.  

       -4.5        -5        -42/3        -41/2        -41/3

Complexity=10, Mode=3

Choose one or more answers that represent the point on the number line
1.  

       9.8        94/5        89/8        91/8        92/7
2.  

       134/5        13.8        14        131/6        138/10

Answers

Complexity=2, Mode=1

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

        143/4        141/2        14.5        141/3        15
Solution
14 1/2
The whole number is 14 because the point is between 14 and 15
The numerator is 1 because the point is 1 notches to the right of 14.
The denominator is 2 because there are 2 equal parts between 14 and 15

14.5 is the decimal value of 141/2
14.5 = 14 + 5/10
= 141/2
#ProblemCorrect AnswerYour Answer
2

        -18        -171/2        -17.5        -173/4        -172/3
Solution
-17 1/2
The whole number is -17 because the point is between -18 and -17
The numerator is 1 because the point is 1 notches to the left of -17.
The denominator is 2 because there are 2 equal parts between -18 and -17

-17.5 is the decimal value of -171/2
-17.5 = -17 + -5/10
= -171/2

Complexity=4, Mode=1

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

        -39.5        -39        -391/3        -40        -391/2
Solution
-39
The whole number is -39 because the point is at -39.
#ProblemCorrect AnswerYour Answer
2

        -10        -101/2        -11        -101/3        -102/3
Solution
-10
The whole number is -10 because the point is at -10.

Complexity=6, Mode=2

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

        141/2        15        14        14.5        141/3
Solution
14
The whole number is 14 because the point is at 14.
#ProblemCorrect AnswerYour Answer
2

        -284/5        -281/3        -28.8        -29        -282/3
Solution
-28 1/3
The whole number is -28 because the point is between -29 and -28
The numerator is 1 because the point is 1 notches to the left of -28.
The denominator is 3 because there are 3 equal parts between -29 and -28

Complexity=8, Mode=2

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

        -301/4        -30.5        -302/3        -301/2        -31
Solution
-30 2/4
The whole number is -30 because the point is between -31 and -30
The numerator is 2 because the point is 2 notches to the left of -30.
The denominator is 4 because there are 4 equal parts between -31 and -30

-301/2 is a simplified fraction of -30 2/4

-30.5 is the decimal value of -301/2
-30.5 = -30 + -5/10
= -301/2
#ProblemCorrect AnswerYour Answer
2

        -4.5        -5        -42/3        -41/2        -41/3
Solution
-4 2/4
The whole number is -4 because the point is between -5 and -4
The numerator is 2 because the point is 2 notches to the left of -4.
The denominator is 4 because there are 4 equal parts between -5 and -4

-41/2 is a simplified fraction of -4 2/4

-4.5 is the decimal value of -41/2
-4.5 = -4 + -5/10
= -41/2

Complexity=10, Mode=3

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

        9.8        94/5        89/8        91/8        92/7
Solution
9 1/8
The whole number is 9 because the point is between 9 and 10
The numerator is 1 because the point is 1 notches to the right of 9.
The denominator is 8 because there are 8 equal parts between 9 and 10

89/8 simplifies to 91/8
89/8 = 8 + 9/8 = 8 + 1 1/8
= 91/8

#ProblemCorrect AnswerYour Answer
2

        134/5        13.8        14        131/6        138/10
Solution
13 4/5
The whole number is 13 because the point is between 13 and 14
The numerator is 4 because the point is 4 notches to the right of 13.
The denominator is 5 because there are 5 equal parts between 13 and 14

138/10 simplifies to 134/5
138/10 = 13 + 8/10
= 134/5

13.8 is the decimal value of 134/5
13.8 = 13 + 8/10
= 134/5
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