ISEE Middle Level Quantitative : Numbers and Operations

Study concepts, example questions & explanations for ISEE Middle Level Quantitative

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Example Questions

Example Question #62 : Common Core Math: Grade 5

Solve:

\(\displaystyle 6\times3+(37+48)\)

 

Possible Answers:

\(\displaystyle 111\)

\(\displaystyle 108\)

\(\displaystyle 103\)

\(\displaystyle 117\)

\(\displaystyle 100\)

Correct answer:

\(\displaystyle 103\)

Explanation:

\(\displaystyle 6\times3+(37+48)\)

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

\(\displaystyle 37-48=85\)

\(\displaystyle 6\times3=18\)

\(\displaystyle 18+85=103\)

Example Question #61 : Use Parentheses, Brackets, Or Braces In Numerical Expressions And Evaluate These Expressions: Ccss.Math.Content.5.Oa.A.1

Solve:

\(\displaystyle 100-(7\times7)\)

 

Possible Answers:

\(\displaystyle 67\)

\(\displaystyle 48\)

\(\displaystyle 51\)

\(\displaystyle 43\)

\(\displaystyle 56\)

Correct answer:

\(\displaystyle 51\)

Explanation:

\(\displaystyle 100-(7\times7)\)

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

\(\displaystyle 7\times7=49\)

\(\displaystyle 100-49=51\)

Example Question #61 : Use Parentheses, Brackets, Or Braces In Numerical Expressions And Evaluate These Expressions: Ccss.Math.Content.5.Oa.A.1

Solve:

\(\displaystyle 4\times(5+6)\)

 

Possible Answers:

\(\displaystyle 44\)

\(\displaystyle 36\)

\(\displaystyle 32\)

\(\displaystyle 38\)

\(\displaystyle 49\)

Correct answer:

\(\displaystyle 44\)

Explanation:

\(\displaystyle 4\times(5+6)\)

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

\(\displaystyle 5+6=11\)

\(\displaystyle 4\times11=44\)

Example Question #62 : Use Parentheses, Brackets, Or Braces In Numerical Expressions And Evaluate These Expressions: Ccss.Math.Content.5.Oa.A.1

Solve:

\(\displaystyle 6\times (49-43)\div3\)

 

Possible Answers:

\(\displaystyle 8\)

\(\displaystyle 10\)

\(\displaystyle 6\)

\(\displaystyle 4\)

\(\displaystyle 12\)

Correct answer:

\(\displaystyle 12\)

Explanation:

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

\(\displaystyle 49-43=6\)

\(\displaystyle 6\times6=36\)

\(\displaystyle 36\div3=12\) 

Example Question #66 : Common Core Math: Grade 5

Solve:

\(\displaystyle 8\times(57-45)\)

 

Possible Answers:

\(\displaystyle 76\)

\(\displaystyle 84\)

\(\displaystyle 56\)

\(\displaystyle 96\)

\(\displaystyle 64\)

Correct answer:

\(\displaystyle 96\)

Explanation:

\(\displaystyle 8\times(57-45)\)

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

\(\displaystyle 57-45=12\)

\(\displaystyle 8\times12=96\)

Example Question #67 : Common Core Math: Grade 5

Solve:

\(\displaystyle 55+(48-13)\div5\)

 

Possible Answers:

\(\displaystyle 66\)

\(\displaystyle 57\)

\(\displaystyle 62\)

\(\displaystyle 59\)

\(\displaystyle 56\)

Correct answer:

\(\displaystyle 62\)

Explanation:

\(\displaystyle 55+(48-13)\div5\)

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

\(\displaystyle 48-13=35\)

\(\displaystyle 35\div5=7\)

\(\displaystyle 55+7=62\)

Example Question #1181 : Isee Middle Level (Grades 7 8) Quantitative Reasoning

Solve:

\(\displaystyle 4\times(40-33)\)

 

Possible Answers:

\(\displaystyle 39\)

\(\displaystyle 30\)

\(\displaystyle 28\)

\(\displaystyle 36\)

\(\displaystyle 37\)

Correct answer:

\(\displaystyle 28\)

Explanation:

\(\displaystyle 4\times(40-33)\)

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

\(\displaystyle 40-33=7\)

\(\displaystyle 4\times7=28\)

Example Question #61 : Common Core Math: Grade 5

Solve:

\(\displaystyle 90\div(75-45)\)

 

Possible Answers:

\(\displaystyle 12\)

\(\displaystyle 9\)

\(\displaystyle 6\)

\(\displaystyle 3\)

\(\displaystyle 5\)

Correct answer:

\(\displaystyle 3\)

Explanation:

\(\displaystyle 90\div(75-45)\)

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

\(\displaystyle 75-45=30\)

\(\displaystyle 90\div30=3\)

Example Question #71 : Operations & Algebraic Thinking

Solve:

\(\displaystyle 8+(12-3)\times 7\)

 

Possible Answers:

\(\displaystyle 67\)

\(\displaystyle 71\)

\(\displaystyle 89\)

\(\displaystyle 76\)

\(\displaystyle 81\)

Correct answer:

\(\displaystyle 71\)

Explanation:

\(\displaystyle 8+(12-3)\times 7\)

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

\(\displaystyle 12-3=9\)

\(\displaystyle 9\times7=63\)

\(\displaystyle 8+63=71\)

Example Question #71 : Use Parentheses, Brackets, Or Braces In Numerical Expressions And Evaluate These Expressions: Ccss.Math.Content.5.Oa.A.1

Solve:

\(\displaystyle 56\div(14-10)\)

 

Possible Answers:

\(\displaystyle 8\)

\(\displaystyle 20\)

\(\displaystyle 18\)

\(\displaystyle 12\)

\(\displaystyle 14\)

Correct answer:

\(\displaystyle 14\)

Explanation:

\(\displaystyle 56\div(14-10)\)

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

\(\displaystyle 14-10=4\)

\(\displaystyle 56\div4=14\)

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