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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 #37 : Arithmetic

Which of the following four expressions is the greatest?

Possible Answers:

$(-1) + (-2) \times (-3)$

$(-1) \times (-2) \times (-3)$

$(-1) \times (-2) + (-3)$

(-1) + (-2) + (-3)

Correct answer:

$(-1) + (-2) \times (-3)$

Explanation:

By order of operations, multiplication takes precedence over addition, and each is worked right to left. Keeping this in mind:

(-1) + (-2) + (-3)

=-(1+2) + (-3)

= -3 + (-3 )

= -(3+3)

=-6

$(-1) + (-2) \times (-3)$

$=(-1) +[ + ( 2 \times 3 )]$

=(-1) +6

= +(6 - 1)

$(-1) \times (-2) \times (-3)$

$= + (1 \times 2 )\times (-3)$

$= 2 \times (-3)$

$= - ( 2 \times 3)$

$(-1) \times (-2)+ (-3)$

$= + (1 \times 2 ) + (-3)$

=2 + (-3)

= -(3-2)

= -1

$(-1) + (-2) \times (-3)$ is the greatest of the four.

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Example Question #631 : Hspt Mathematics

Which of the following is the least of the four expressions?

Possible Answers:

$-1,000 - (-100) \div (-10)$

-1,000 - (-100) - (-10)

$-1,000 \div (-100) \div (-10)$

$-1,000 \div (-100) - (-10)$

Correct answer:

$-1,000 - (-100) \div (-10)$

Explanation:

By order of operations, division takes precedence over subtraction, and each is worked right to left. Keeping this in mind:

$-1,000 \div (-100) - (-10)$

$=+ (1,000 \div 100) - (-10)$

=10- (-10)

= 10 + 10

= 20

$-1,000 \div (-100) \div (-10)$

$=+ (1,000 \div 100) \div (-10)$

$=10\div (-10)$

$=- ( 10\div 10)$

=-1

-1,000 - (-100) - (-10)

= -1,000 +100 + 10

= -(1,000 -100 )+ 10

= -900 + 10

= -(900- 10)

= -890

$-1,000 - (-100) \div (-10)$

$=-1,000 -[+ (100 \div 10)]$

=-1,000 -10

=-1,000 + (-10)

=-( 1,000 + 10)

= -1,010

$-1,000 - (-100) \div (-10)$ is the least of the four.

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Example Question #632 : Hspt Mathematics

Solve:

-3*-4*-2

Possible Answers:

Correct answer:

Explanation:

Whenever you multiple an odd number of negative values togther, you will end with a negative number.

Then you just need to multiple your actual values together.

3*4=12 and 12*2=24 so your final answer is .

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Example Question #633 : Hspt Mathematics

Which of the following is a negative number?

(I) $-200 \div 180$

(II) $-200 \times 180$

(III) -200 + 180

Possible Answers:

(II) only

(III) only

All three

(I) only

Correct answer:

All three

Explanation:

(I) and (II) are both negative, since the product or quotient of a negative number and a positive number is negative.

The sum of a negative number and a positive number assumes the sign of the number with the greater absolute value. Since in (III), the negative number has the higher absolute value (200 versus 180), the sign of the sum is negative.

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Example Question #41 : Negative Numbers

Whch of the following is the least of the four expressions?

Possible Answers:

$-\frac{11}{20}$

$-\frac{3}{5}$

$-\frac{17}{30}$

$-\frac{7}{12}$

Correct answer:

$-\frac{3}{5}$

Explanation:

Rewrite each of the numbers with a common denominator. To find that common denominator, examine the prime factorizations of 5, 12, 20, and 30:

5 = 5

$12 = 2 \cdot 2 \cdot 3$

$20 = 2 \cdot 2 \cdot 5$

$30 = 2 \cdot 3 \cdot 5$

Multiply:

$2 \cdot 2 \cdot 3 \cdot 5 = 60$

Rewrite each fraction with deniominator 60:

$-\frac{11}{20} = -\frac{11 \cdot 3 }{20 \cdot 3 } = - \frac{33}{60}$

$-\frac{17}{30} = -\frac{17\cdot 2 }{30 \cdot 2} = - \frac{34}{60 }$

$-\frac{7}{12} = -\frac{7 \cdot 5 }{12 \cdot 5} = - \frac{35}{60 }$

$-\frac{3}{5} = -\frac{3 \cdot 12 }{5\cdot 12 } = - \frac{36}{60}$

Of these four negative numbers, $-\frac{3}{5} = - \frac{36}{60}$ has the greatest absolute value, so it is the least of the four, and the correct choice.

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Example Question #1 : Understand An Inequality On A Number Line: Ccss.Math.Content.6.Ns.C.7a

Fill in the blank with the proper sign.

__________

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem, we will use a number line. Numbers to the left of zero on the line are less than numbers to the right.

Line1

Therefore:

-3>-5

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Example Question #1 : Understand An Inequality On A Number Line: Ccss.Math.Content.6.Ns.C.7a

Fill in the blank with the proper sign.

__________

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem, we will use a number line. Numbers to the left of zero on the line are less than numbers to the right.

Line3

Therefore:

1>-2

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Example Question #2 : Understand An Inequality On A Number Line: Ccss.Math.Content.6.Ns.C.7a

Fill in the blank with the proper sign.

__________

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem, we will use a number line. Numbers to the left of zero on the line are less than numbers to the right.

Line2

Therefore:

-2<-1

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Example Question #3 : Understand An Inequality On A Number Line: Ccss.Math.Content.6.Ns.C.7a

Fill in the blank with the proper sign.

__________

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem, we will use a number line. Numbers to the left of zero on the line are less than numbers to the right.

Line4

Therefore:

5>-1

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Example Question #4 : Understand An Inequality On A Number Line: Ccss.Math.Content.6.Ns.C.7a

Fill in the blank with the proper sign.

__________

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem, we will use a number line. Numbers to the left of zero on the line are less than numbers to the right.

Line6

Therefore:

10>-5

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HSPT Math : HSPT Mathematics

Study concepts, example questions & explanations for HSPT Math

All HSPT Math Resources

Example Questions

Example Question #37 : Arithmetic

Example Question #631 : Hspt Mathematics

Example Question #632 : Hspt Mathematics

Example Question #633 : Hspt Mathematics

Example Question #41 : Negative Numbers

Example Question #1 : Understand An Inequality On A Number Line: Ccss.Math.Content.6.Ns.C.7a

Example Question #1 : Understand An Inequality On A Number Line: Ccss.Math.Content.6.Ns.C.7a

Example Question #2 : Understand An Inequality On A Number Line: Ccss.Math.Content.6.Ns.C.7a

Example Question #3 : Understand An Inequality On A Number Line: Ccss.Math.Content.6.Ns.C.7a

Example Question #4 : Understand An Inequality On A Number Line: Ccss.Math.Content.6.Ns.C.7a

All HSPT Math Resources

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