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HSPT Math : HSPT Mathematics

Study concepts, example questions & explanations for HSPT Math

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6 Diagnostic Tests 130 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #157 : Fractions

Add the fractions:

$\frac{5}{25}+\frac{12}{25}=$

Possible Answers:

$\frac{17}{25}$

$\frac{7}{25}$

Correct answer:

$\frac{17}{25}$

Explanation:

Add the numerators and leave the denominator the same:

$\frac{5}{25}+\frac{12}{25}=\frac{17}{25}$

Answer: $\frac{17}{25}$

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Example Question #158 : Fractions

Add:

$\frac{2}{13}+\frac{4}{13}=$

Possible Answers:

$\frac{2}{13}$

$\frac{6}{13}$

Correct answer:

$\frac{6}{13}$

Explanation:

Add the numerators and leave the denominator the same:

$\frac{2}{13}+\frac{4}{13}=\frac{6}{13}$

Answer: $\frac{6}{13}$

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Example Question #1041 : Hspt Mathematics

Give the result in simplest form:

$\frac{7}{20} - \frac{11}{20} + \frac{9}{20}$

Possible Answers:

$\frac{1}{20}$

$\frac{1}{4}$

$\frac{1}{12}$

$\frac{13}{20}$

$-\frac{13}{20}$

Correct answer:

$\frac{1}{4}$

Explanation:

$\frac{7}{20} - \frac{11}{20} + \frac{9}{20}$

$=\frac{7-11+9}{20}$

$=\frac{-4+9}{20}$

$=\frac{5}{20} =\frac{5\div 5}{20\div 5} = \frac{1}{4}$

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Example Question #1042 : Hspt Mathematics

Evaluate:

9 - 6.36

Possible Answers:

3.36

3.64

2.64

6.27

2.36

Correct answer:

2.64

Explanation:

Subtract vertically, appending the 9 with a decimal point and two placeholder zeroes first.

9.00

$\underline{6.36}$

2.64

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Example Question #3 : How To Subtract Fractions

Evaluate:

7.82 - 4.7 - 2.56

Possible Answers:

5.68

9.91

4.79

0.56

9.96

Correct answer:

0.56

Explanation:

By order of operations, subtractions are carried out in left-to-right order, so subtract 4.70 (adding the placeholder zero) from 7.82, aligning the decimal points:

7.82

$\underline{4.70}$

3.12

Now subtract 2.56 from this difference, again aligning vertically by decimal point:

3.12

$\underline{2.56}$

0.56

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Example Question #4 : How To Subtract Fractions

Evaluate:

6.54 - 9

Possible Answers:

-3.54

-2.46

-3.46

-2.54

-6.45

Correct answer:

-2.46

Explanation:

Rewrite this difference as a sum. The sum of two numbers of unlike sign is the difference of their absolute values, with the sign of the "dominant" number (the negative number here) affixed:

6.54 - 9 = 6.54 + (-9) = -(9-6.54)

Subtract vertically by aligning the decimal points, making sure you append the 9 with a decimal point and two placeholder zeroes:

9.00

$\underline{6.54}$

2.46

Since the answer is negative, append a negative symbol in front. The answer is -2.46 .

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Example Question #451 : Concepts

Subtract:

0.005 - 0.15

Possible Answers:

0.00485

0.0485

-0.145

-0.10

-0.1405

Correct answer:

-0.145

Explanation:

Since you are subtracting a larger number from a smaller, reverse them, and affix a negative symbol:

$0.005 - 0.15 = - \left (0.15 - 0.005 \right )$

Rewrite vertically, lining up the decimal digits. Subtract as you would two integers. (Note that you are appending a zero to the 0.15.)

$\begin{matrix} \; \; \; 0.150\\ -\underline{0.005}\\\; \; \; 0.145\end{matrix}$

Affix the negative symbol to obtain the difference of -0.145 .

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Example Question #452 : Concepts

Evaluate:

$6 \frac{9}{11} - 2 \frac{3}{11}+ 4 \frac{7}{11}$

Possible Answers:

$9 \frac{2}{11}$

$13\frac{7}{11}$

$9\frac{8}{11}$

$\frac{10}{11}$

$\frac{1}{11}$

Correct answer:

$9 \frac{2}{11}$

Explanation:

Subtract the first two fractions first. This is best done by writing vertically, and subtracting integer and fraction parts.

$6 \frac{9}{11}$

$\underline{- 2 \frac{3}{11}}$

$4 \frac{6}{11}$

Now add this to the third fraction similarly, adjusting as shown for the improper fraction:

$4 \frac{6}{11}$

$\underline{+ 4 \frac{7}{11}}$

$8 \frac{13}{11} = 8 +1 + \frac{2}{11} = 9 \frac{2}{11}$

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Example Question #1043 : Hspt Mathematics

Subtract:

8.1 -5.67

Possible Answers:

-4.86

4.86

2.43

-13.77

7.533

Correct answer:

2.43

Explanation:

Subtract vertically, making sure the decimal points in all three numbers line up (note that a zero has been appended to the first number):

$\begin{matrix} \; \; \; 8.10\\ \underline{-5.67}\\ \; \; \;2.43 \end{matrix}$

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Example Question #8 : How To Subtract Fractions

Subtract: $8\frac{1}{4}-5\frac{7}{8}$

Possible Answers:

$2\frac{3}{8}$

$3\frac{1}{2}$

$2 \frac{5}{8}$

$2\frac{1}{2}$

$3 \frac{5}{8}$

Correct answer:

$2\frac{3}{8}$

Explanation:

Rewrite the first fraction in eighths, as LCD (4,8) = 8 .

$8\frac{1}{4} = 8\frac{1\times 2}{4\times 2} = 8\frac{2}{8}$

Now write vertically:

$8\frac{2}{8}$

$-\underline{5\frac{7}{8}}$

"Borrow" in the first expression, then subtract integer and fractional parts separately:

$7\frac{10}{8}$

$-\underline{5\frac{7}{8}}$

$2\frac{3}{8}$

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HSPT Math : HSPT Mathematics

Study concepts, example questions & explanations for HSPT Math

All HSPT Math Resources

Example Questions

Example Question #157 : Fractions

Example Question #158 : Fractions

Example Question #1041 : Hspt Mathematics

Example Question #1042 : Hspt Mathematics

Example Question #3 : How To Subtract Fractions

Example Question #4 : How To Subtract Fractions

Example Question #451 : Concepts

Example Question #452 : Concepts

Example Question #1043 : Hspt Mathematics

Example Question #8 : How To Subtract Fractions

All HSPT Math Resources

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