Math Practice Problems -

- 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=noNonRptDec

Convert the following decimals into simplified mixed fractions. If the whole number value of the fraction is 0, just leave it blank.

5.20

3.98

Complexity=3, Mode=noNonRptDec

Convert the following decimals into simplified mixed fractions. If the whole number value of the fraction is 0, just leave it blank.

6.373

4.838

Complexity=1, Mode=NonRptDec

Convert the following decimals into simplified mixed fractions. If the whole number value of the fraction is 0, just leave it blank.

1.55

7.96

Complexity=2, Mode=NonRptDec

Convert the following decimals into simplified mixed fractions. If the whole number value of the fraction is 0, just leave it blank.

2.8917

10.3304

Complexity=3, Mode=NonRptDec

Convert the following decimals into simplified mixed fractions. If the whole number value of the fraction is 0, just leave it blank.

9.670879

4.976243

Answers

Complexity=2, Mode=noNonRptDec

Convert the following decimals into simplified mixed fractions. If the whole number value of the fraction is 0, just leave it blank.

Problem

Correct Answer

Your Answer

5.20

Solution
x = 5.20.
Length of non-repeating decimal part = 0.
Length of repeating decimal part = 2.
10^{repeating + non-repeating length}x = 10²x = 100x = 520. 20
10^{non-repeating length}x = 10⁰x = 1x = 5.20
100x - 1x = 99x = 520.20 - 5.20 = 515

x =

515

Problem

Correct Answer

Your Answer

3.98

Solution
x = 3.98.
Length of non-repeating decimal part = 0.
Length of repeating decimal part = 2.
10^{repeating + non-repeating length}x = 10²x = 100x = 398. 98
10^{non-repeating length}x = 10⁰x = 1x = 3.98
100x - 1x = 99x = 398.98 - 3.98 = 395

x =

395

Complexity=3, Mode=noNonRptDec

Convert the following decimals into simplified mixed fractions. If the whole number value of the fraction is 0, just leave it blank.

Problem

Correct Answer

Your Answer

6.373

Solution
x = 6.373.
Length of non-repeating decimal part = 0.
Length of repeating decimal part = 3.
10^{repeating + non-repeating length}x = 10³x = 1000x = 6373. 373
10^{non-repeating length}x = 10⁰x = 1x = 6.373
1000x - 1x = 999x = 6373.373 - 6.373 = 6367

x =

6367

999

373

999

Problem

Correct Answer

Your Answer

4.838

Solution
x = 4.838.
Length of non-repeating decimal part = 0.
Length of repeating decimal part = 3.
10^{repeating + non-repeating length}x = 10³x = 1000x = 4838. 838
10^{non-repeating length}x = 10⁰x = 1x = 4.838
1000x - 1x = 999x = 4838.838 - 4.838 = 4834

x =

4834

999

838

999

Complexity=1, Mode=NonRptDec

Convert the following decimals into simplified mixed fractions. If the whole number value of the fraction is 0, just leave it blank.

Problem

Correct Answer

Your Answer

1.55

Solution
x = 1.55.
Length of non-repeating decimal part = 1.
Length of repeating decimal part = 1.
10^{repeating + non-repeating length}x = 10²x = 100x = 155. 5
10^{non-repeating length}x = 10¹x = 10x = 15.5
100x - 10x = 90x = 155.5 - 15.5 = 140

x =

140

Problem

Correct Answer

Your Answer

7.96

Solution
x = 7.96.
Length of non-repeating decimal part = 1.
Length of repeating decimal part = 1.
10^{repeating + non-repeating length}x = 10²x = 100x = 796. 6
10^{non-repeating length}x = 10¹x = 10x = 79.6
100x - 10x = 90x = 796.6 - 79.6 = 717

x =

717

239

Complexity=2, Mode=NonRptDec

Convert the following decimals into simplified mixed fractions. If the whole number value of the fraction is 0, just leave it blank.

Problem

Correct Answer

Your Answer

2.8917

Solution
x = 2.8917.
Length of non-repeating decimal part = 2.
Length of repeating decimal part = 2.
10^{repeating + non-repeating length}x = 10⁴x = 10000x = 28917. 17
10^{non-repeating length}x = 10²x = 100x = 289.17
10000x - 100x = 9900x = 28917.17 - 289.17 = 28628

x =

28628

9900

7157

2475

2207

2475

Problem

Correct Answer

Your Answer

10.3304

Solution
x = 10.3304.
Length of non-repeating decimal part = 2.
Length of repeating decimal part = 2.
10^{repeating + non-repeating length}x = 10⁴x = 10000x = 103304. 04
10^{non-repeating length}x = 10²x = 100x = 1033.04
10000x - 100x = 9900x = 103304.04 - 1033.04 = 102271

x =

102271

9900

3271

9900

Complexity=3, Mode=NonRptDec

Convert the following decimals into simplified mixed fractions. If the whole number value of the fraction is 0, just leave it blank.

Problem

Correct Answer

Your Answer

9.670879

Solution
x = 9.670879.
Length of non-repeating decimal part = 3.
Length of repeating decimal part = 3.
10^{repeating + non-repeating length}x = 10⁶x = 1000000x = 9670879. 879
10^{non-repeating length}x = 10³x = 1000x = 9670.879
1000000x - 1000x = 999000x = 9670879.879 - 9670.879 = 9661209

x =

9661209

999000

3220403

333000

9	223403 333000

Problem

Correct Answer

Your Answer

4.976243

Solution
x = 4.976243.
Length of non-repeating decimal part = 3.
Length of repeating decimal part = 3.
10^{repeating + non-repeating length}x = 10⁶x = 1000000x = 4976243. 243
10^{non-repeating length}x = 10³x = 1000x = 4976.243
1000000x - 1000x = 999000x = 4976243.243 - 4976.243 = 4971267

x =

4971267

999000

184121

37000

4	36121 37000

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