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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 #159 : Operations & Algebraic Thinking

Select the equation that reflects the phrase below.

Divide the product of $\displaystyle 7$ and $\displaystyle 6$ by $\displaystyle 14$

Possible Answers:

$7-6\div14$ $\displaystyle 7-6\div14$

$7\times6\div14$ $\displaystyle 7\times6\div14$

$7\div6\div14$ $\displaystyle 7\div6\div14$

$7+6\div14$ $\displaystyle 7+6\div14$

$7\times6\times14$ $\displaystyle 7\times6\times14$

Correct answer:

$7\times6\div14$ $\displaystyle 7\times6\div14$

Explanation:

When you are asked to find the product that means we are going to multiply. Because we are multiplying and dividing in this question, we do not need to use parentheses because with multiplication and division you work the problem out from left to right. So first we have the multiplication problem, then we divide.

Remember, order of operations is PEMDAS= parentheses, exponents, multiplication/division, addition/subtraction.

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Example Question #160 : Operations & Algebraic Thinking

Select the equation that reflects the phrase below.

Divide $\displaystyle 36$ by the quotient of $\displaystyle 18$ divided by $\displaystyle 2$

Possible Answers:

$36\div(18\div2)$ $\displaystyle 36\div(18\div2)$

$36\times(18\div2)$ $\displaystyle 36\times(18\div2)$

$36\div(18\times2)$ $\displaystyle 36\div(18\times2)$

$36\times(18\times2)$ $\displaystyle 36\times(18\times2)$

$36\div(18-2)$ $\displaystyle 36\div(18-2)$

Correct answer:

$36\div(18\div2)$ $\displaystyle 36\div(18\div2)$

Explanation:

Quotient means the answer to a division problem. Because we want to divide $\displaystyle 36$ by the answer of $18\div2$ $\displaystyle 18\div2$ we need to put that in parentheses so that it's done first.

Remember, order of operations is PEMDAS= parentheses, exponents, multiplication/division, addition/subtraction.

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Example Question #71 : Write And Interpret Simple Expressions That Record Calculations: Ccss.Math.Content.5.Oa.A.2

Select the equation that reflects the phrase below.

Add $\displaystyle 14$ and $\displaystyle 26$ and then multiply $\displaystyle 4$ by the sum

Possible Answers:

$14+26\times4$ $\displaystyle 14+26\times4$

$(14-26)\times4$ $\displaystyle (14-26)\times4$

$(14+26)\div4$ $\displaystyle (14+26)\div4$

$14-26\times4$ $\displaystyle 14-26\times4$

$(14+26)\times4$ $\displaystyle (14+26)\times4$

Correct answer:

$(14+26)\times4$ $\displaystyle (14+26)\times4$

Explanation:

Because we are multiplying by the sum, which is the answer to an addition problem, we first need to add so we need to put the addition problem in parentheses, then we can do the multiplication.

Remember, order of operations is PEMDAS= parentheses, exponents, multiplication/division, addition/subtraction.

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Example Question #162 : Operations & Algebraic Thinking

Select the equation that reflects the phrase below.

$\displaystyle 90$ divided by the difference between $\displaystyle 17$ and $\displaystyle 7$

Possible Answers:

$90\times(17+7)$ $\displaystyle 90\times(17+7)$

$90\div(17+7)$ $\displaystyle 90\div(17+7)$

$90\times(17-7)$ $\displaystyle 90\times(17-7)$

$90\div17-7$ $\displaystyle 90\div17-7$

$90\div(17-7)$ $\displaystyle 90\div(17-7)$

Correct answer:

$90\div(17-7)$ $\displaystyle 90\div(17-7)$

Explanation:

Because we are dividing by the difference, or answer, from the subtraction problem, we first need to subtract. In order for the subtraction problem to go first, we need to put that in parentheses.

Remember, order of operations is PEMDAS= parentheses, exponents, multiplication/division, addition/subtraction.

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Example Question #163 : Operations & Algebraic Thinking

Select the equation that reflects the phrase below.

Find $\displaystyle 19$ more than $\displaystyle 26$ and then find $\displaystyle 14$ less than the sum.

Possible Answers:

$26\times19-14$ $\displaystyle 26\times19-14$

$\displaystyle 26+19-14$

$\displaystyle 26+19+14$

$\displaystyle 26-19-14$

$26+19\div14$ $\displaystyle 26+19\div14$

Correct answer:

$\displaystyle 26+19-14$

Explanation:

The phrase "more than" means to add. Because we are adding and subtracting in this question, we do not need to use parentheses because with addition and subtraction you work the problem out from left to right. So first we have the addition problem, then we subtract.

Remember, order of operations is PEMDAS= parentheses, exponents, multiplication/division, addition/subtraction.

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Example Question #164 : Operations & Algebraic Thinking

Select the equation that reflects the phrase below.

Find $\displaystyle 6$ less than the product of $\displaystyle 8$ and $\displaystyle 7$

Possible Answers:

$8\times(7+6)$ $\displaystyle 8\times(7+6)$

$8\times7-6$ $\displaystyle 8\times7-6$

$8\times7+6$ $\displaystyle 8\times7+6$

$8\times(7-6)$ $\displaystyle 8\times(7-6)$

8+7-6 $\displaystyle 8+7-6$

Correct answer:

$8\times7-6$ $\displaystyle 8\times7-6$

Explanation:

The phrase "less than the product" means that we are going to subtract $\displaystyle 6$ from the answer of our multiplication problem. Because of our order of operations, multiplication will come beore subtraction so we do not need to use parentheses.

Remember, order of operations is PEMDAS= parentheses, exponents, multiplication/division, addition/subtraction.

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Example Question #162 : Operations & Algebraic Thinking

Select the equation that reflects the phrase below.

Find the product of $\displaystyle 8$ times the quotient of $\displaystyle 72$ divided by $\displaystyle 8$

Possible Answers:

$72\div8+8$ $\displaystyle 72\div8+8$

$72\div8-8$ $\displaystyle 72\div8-8$

$72\div8\times8$ $\displaystyle 72\div8\times8$

$72\div8\div8$ $\displaystyle 72\div8\div8$

$72\times8\times8$ $\displaystyle 72\times8\times8$

Correct answer:

$72\div8\times8$ $\displaystyle 72\div8\times8$

Explanation:

Remember, order of operations is PEMDAS= parentheses, exponents, multiplication/division, addition/subtraction.

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Example Question #81 : Write And Interpret Simple Expressions That Record Calculations: Ccss.Math.Content.5.Oa.A.2

Select the equation that reflects the phrase below.

Subtract $\displaystyle 7$ from the quotient of $\displaystyle 81$ divided by $\displaystyle 9$

Possible Answers:

$81\times9-7$ $\displaystyle 81\times9-7$

$81\div9-7$ $\displaystyle 81\div9-7$

$81\div9+7$ $\displaystyle 81\div9+7$

$81\times9+7$ $\displaystyle 81\times9+7$

$81\div9\times7$ $\displaystyle 81\div9\times7$

Correct answer:

$81\div9-7$ $\displaystyle 81\div9-7$

Explanation:

Because of our order of operations, the division problem needs to come first. We list the subtraction last because we are subtracting a number by the quotient, so the quotient needs to be listed first.

Remember, order of operations is PEMDAS= parentheses, exponents, multiplication/division, addition/subtraction.

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Example Question #82 : Write And Interpret Simple Expressions That Record Calculations: Ccss.Math.Content.5.Oa.A.2

Select the equation that reflects the phrase below.

$\displaystyle 60$ divided by the product of $\displaystyle 5$ and $\displaystyle 6$

Possible Answers:

$60\div(5+6)$ $\displaystyle 60\div(5+6)$

$60\div(5\times6)$ $\displaystyle 60\div(5\times6)$

$60\div5+6$ $\displaystyle 60\div5+6$

$60\div5-6$ $\displaystyle 60\div5-6$

$60\div5\times6$ $\displaystyle 60\div5\times6$

Correct answer:

$60\div(5\times6)$ $\displaystyle 60\div(5\times6)$

Explanation:

$\displaystyle 60$ needs to be listed first because that's the number that is getting divided. However, we need to do the multiplication problem first to find out what number we are dividing into $\displaystyle 60$, so we need to put the multiplication problem into parentheses.

Remember, order of operations is PEMDAS= parentheses, exponents, multiplication/division, addition/subtraction.

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Example Question #83 : Write And Interpret Simple Expressions That Record Calculations: Ccss.Math.Content.5.Oa.A.2

Select the equation that reflects the phrase below.

Add $\displaystyle 17$ to the difference between 105 $\displaystyle 105$ and $\displaystyle 33$

Possible Answers:

$105-33\div17$ $\displaystyle 105-33\div17$

$\displaystyle 105-33-17$

$\displaystyle 105-33+17$

$\displaystyle 105+33+17$

$105-33\times17$ $\displaystyle 105-33\times17$

Correct answer:

$\displaystyle 105-33+17$

Explanation:

Difference means the answer to a subtraction problem. Because we are adding a number to the difference, we need to do the subtraction problem first. Since we are adding and subtracting in this question, we do not need to use parentheses because with addition and subtraction you work the problem out from left to right. So first we have the subtraction problem, then we add.

Remember, order of operations is PEMDAS= parentheses, exponents, multiplication/division, addition/subtraction.

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HSPT Math : HSPT Mathematics

Study concepts, example questions & explanations for HSPT Math

All HSPT Math Resources

Example Questions

Example Question #159 : Operations & Algebraic Thinking

Example Question #160 : Operations & Algebraic Thinking

Example Question #71 : Write And Interpret Simple Expressions That Record Calculations: Ccss.Math.Content.5.Oa.A.2

Example Question #162 : Operations & Algebraic Thinking

Example Question #163 : Operations & Algebraic Thinking

Example Question #164 : Operations & Algebraic Thinking

Example Question #162 : Operations & Algebraic Thinking

Example Question #81 : Write And Interpret Simple Expressions That Record Calculations: Ccss.Math.Content.5.Oa.A.2

Example Question #82 : Write And Interpret Simple Expressions That Record Calculations: Ccss.Math.Content.5.Oa.A.2

Example Question #83 : Write And Interpret Simple Expressions That Record Calculations: Ccss.Math.Content.5.Oa.A.2

All HSPT Math Resources

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