HSPT Math : HSPT Mathematics

Study concepts, example questions & explanations for HSPT Math

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Example Questions

Example Question #45 : Operations & Algebraic Thinking

Solve:

\(\displaystyle 17+(34-32)\times 7\)

 

Possible Answers:

\(\displaystyle 92\)

\(\displaystyle 23\)

\(\displaystyle 31\)

\(\displaystyle 133\)

\(\displaystyle 104\)

Correct answer:

\(\displaystyle 31\)

Explanation:

\(\displaystyle 17+(34-32)\times 7\)

When solving this problem, remember order of operations PEMDAS. The parentheses come first, followed by the multiplication, and then the addition. 

\(\displaystyle 34-32=2\)

\(\displaystyle 2\times7=14\)

\(\displaystyle 17+14=31\)

Example Question #46 : Operations & Algebraic Thinking

Solve:

\(\displaystyle 81\div(14-5)\)

 

Possible Answers:

\(\displaystyle 7\)

\(\displaystyle 12\)

\(\displaystyle 18\)

\(\displaystyle 3\)

\(\displaystyle 9\)

Correct answer:

\(\displaystyle 9\)

Explanation:

\(\displaystyle 81\div(14-5)\)

When solving this problem, remember order of operations PEMDAS. The parentheses come first followed by the division. 

\(\displaystyle 14-5=9\)

\(\displaystyle 81\div9=9\)

Example Question #47 : Operations & Algebraic Thinking

Solve:

\(\displaystyle 9+2\times2+(42-29)\)

 

Possible Answers:

\(\displaystyle 26\)

\(\displaystyle 43\)

\(\displaystyle 32\)

\(\displaystyle 47\)

\(\displaystyle 36\)

Correct answer:

\(\displaystyle 26\)

Explanation:

\(\displaystyle 9+2\times2+(42-29)\)

When solving this problem, remember order of operations PEMDAS. The parentheses come first, followed by the multiplication, and then addition. 

\(\displaystyle 42-29=13\)

\(\displaystyle 2\times2=4\)

\(\displaystyle 9+4+13=26\)

Example Question #1142 : Isee Middle Level (Grades 7 8) Quantitative Reasoning

Solve:

\(\displaystyle 4\times4+(57-39)\)

 

Possible Answers:

\(\displaystyle 53\)

\(\displaystyle 46\)

\(\displaystyle 35\)

\(\displaystyle 26\)

\(\displaystyle 32\)

Correct answer:

\(\displaystyle 35\)

Explanation:

\(\displaystyle 4\times4+(57-39)\)

When solving this problem, remember order of operations PEMDAS. The parentheses come first followed by the multiplication, and then the addition. 

\(\displaystyle 57-39=19\)

\(\displaystyle 4\times4=16\)

\(\displaystyle 16+19=35\)

 

Example Question #28 : Common Core Math: Grade 5

Solve:

\(\displaystyle 158-(9\times8)\)

 

Possible Answers:

\(\displaystyle 86\)

\(\displaystyle 80\)

\(\displaystyle 62\)

\(\displaystyle 74\)

\(\displaystyle 72\)

Correct answer:

\(\displaystyle 86\)

Explanation:

\(\displaystyle 158-(9\times8)\)

When solving this problem, remember order of operations PEMDAS. The parentheses come first followed by the subtraction. 

\(\displaystyle 9\times8=72\)

\(\displaystyle 158-72=86\)

Example Question #29 : Common Core Math: Grade 5

Solve:

\(\displaystyle 3\times(9+4)\)

 

Possible Answers:

\(\displaystyle 45\)

\(\displaystyle 51\)

\(\displaystyle 37\)

\(\displaystyle 39\)

\(\displaystyle 47\)

Correct answer:

\(\displaystyle 39\)

Explanation:

\(\displaystyle 3\times(9+4)\)

When solving this problem, remember order of operations PEMDAS. The parentheses come first followed by the multiplication. 

\(\displaystyle 9+4=13\)

\(\displaystyle 3\times13=39\)

Example Question #1143 : Isee Middle Level (Grades 7 8) Quantitative Reasoning

Solve:

\(\displaystyle 4\times (42-36)\div3\)

 

Possible Answers:

\(\displaystyle 6\)

\(\displaystyle 44\)

\(\displaystyle 30\)

\(\displaystyle 20\)

\(\displaystyle 8\)

Correct answer:

\(\displaystyle 8\)

Explanation:

\(\displaystyle 4\times (42-36)\div3\)

When solving this problem, remember order of operations PEMDAS. The parentheses come first, followed by the multiplication, and then the division.

\(\displaystyle 42-36=6\)

\(\displaystyle 4\times6=24\)

\(\displaystyle 24\div3=8\) 

Example Question #31 : Common Core Math: Grade 5

Solve:

\(\displaystyle 12\times(66-58)\)

 

Possible Answers:

\(\displaystyle 96\)

\(\displaystyle 307\)

\(\displaystyle 734\)

\(\displaystyle 523\)

\(\displaystyle 621\)

Correct answer:

\(\displaystyle 96\)

Explanation:

\(\displaystyle 12\times(66-58)\)

When solving this problem, remember order of operations PEMDAS. The parentheses come first followed by the multiplication. 

\(\displaystyle 66-58=8\)

\(\displaystyle 12\times8=96\)

Example Question #32 : Common Core Math: Grade 5

Solve:

\(\displaystyle 16+(49-14)\div5\)

 

Possible Answers:

\(\displaystyle 19\)

\(\displaystyle 23\)

\(\displaystyle 35\)

\(\displaystyle 12\)

\(\displaystyle 38\)

Correct answer:

\(\displaystyle 23\)

Explanation:

\(\displaystyle 16+(49-14)\div5\)

When solving this problem, remember order of operations PEMDAS. The parentheses come first, followed by the division, and then the addition. 

\(\displaystyle 49-14=35\)

\(\displaystyle 35\div5=7\)

\(\displaystyle 16+7=23\)

Example Question #32 : Common Core Math: Grade 5

Solve:

\(\displaystyle 8\times(58-48)\)

 

Possible Answers:

\(\displaystyle 227\)

\(\displaystyle 416\)

\(\displaystyle 384\)

\(\displaystyle 80\)

\(\displaystyle 160\)

Correct answer:

\(\displaystyle 80\)

Explanation:

\(\displaystyle 8\times(58-48)\)

When solving this problem, remember order of operations PEMDAS. The parentheses come first followed by the multiplication. 

\(\displaystyle 58-48=10\)

\(\displaystyle 8\times10=80\)

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