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ISEE Middle Level Math : ISEE Middle Level (grades 7-8) Mathematics Achievement

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

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All ISEE Middle Level Math Resources

6 Diagnostic Tests 303 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1321 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Which of the following is the difference of nine tenths and nineteen thousandths?

Possible Answers:

0.881

0.81

0.01

0.71

Correct answer:

0.881

Explanation:

Nine tenths is equal to 0.9; nineteen thousandths is equal to 0.019. Subtract them, rewriting 0.9 as 0.900:

0.900

$\underline{- \; 0.019}$

0.881

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Example Question #1322 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Which of the following is the difference of two-thirds and one-fifth?

Possible Answers:

$\frac{2}{15}$

$\frac{13}{15}$

$\frac {3}{5}$

$\frac{7}{10}$

$\frac{7}{15 }$

Correct answer:

$\frac{7}{15 }$

Explanation:

Since GCF (3,5)= 15 , express each fraction as its equivalent in fifteenths, and subtract the numerators, as follows:

$\frac{2}{3 } - \frac{1}{5} = \frac{2 \times 5}{3 \times 5 } - \frac{3 \times 1}{3 \times 5} = \frac{10}{15 } - \frac{3 }{15} = \frac{10-3}{15 } = \frac{7}{15 }$

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Example Question #1323 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Subtract:

$\frac{9}{9}-\frac{5}{9}=$

Possible Answers:

$\frac{4}{9}$

$1\frac{3}{9}$

Correct answer:

$\frac{4}{9}$

Explanation:

Subtract the numerators and leave the denominators the same:

$\frac{9}{9}-\frac{5}{9}=\frac{4}{9}$

Answer: $\frac{4}{9}$

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Example Question #1324 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Subtract:

$\frac{90}{91}-\frac{47}{91}=$

Possible Answers:

$\frac{34}{91}$

$\frac{47}{91}$

$\frac{43}{91}$

Correct answer:

$\frac{43}{91}$

Explanation:

Subtract the numerators and leave the denominators the same:

$\frac{90}{91}-\frac{47}{91}=\frac{43}{91}$

Answer: $\frac{43}{91}$

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Example Question #437 : Numbers And Operations

The time is now 2:17 AM. What time was it four hours and thirty-six minutes ago?

Possible Answers:

$10:31 \textrm{ PM}$

$9:21 \textrm{ PM}$

$9:31 \textrm{ PM}$

$10:41 \textrm{ PM}$

$9:41 \textrm{ PM}$

Correct answer:

$9:41 \textrm{ PM}$

Explanation:

Two hours and seventeen minutes have elapsed since midnight. Since four hours and thirty-six minutes make a greater quantity, we need to look at this as fourteen hours and seventeen minutes having elapsed since noon.

Change both to minutes as follows:

14 hours 17 minutes:

$14 \times 60 + 17 = 840 + 17 = 857$ minutes

4 hours 36 minutes:

$4 \times 60 + 36 = 240 + 36 = 276$ minutes

Subtract these quantities:

857 - 276 = 5 81 minutes have elapsed since noon. 581 minutes is equal to

$581 \div 60 = 9 \frac{41}{60 }$ hours, or 9 hours 41 minutes after noon, so the time was 9:41 PM.

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Example Question #1325 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Subtract the following fractions:

$\frac{5}{6}-\frac{2}{3}$

Possible Answers:

$\frac{1}{2}$

$\frac{3}{4}$

$\frac{1}{3}$

$\frac{1}{6}$

Correct answer:

$\frac{1}{6}$

Explanation:

Subtract the following fractions:

$\frac{5}{6}-\frac{2}{3}$

To solve this problem, we need to find a common denominator. 6 will work, because both 6 and 3 fit evenly into 6.

We need to change "two-thirds" into sixths. to do so, multiply the top and bottom of the term by 2. Then subtract by taking 5-4 and keeping the denominator.

$\frac{5}{6}-\frac{2*2}{3*2}=\frac{5}{6}-\frac{4}{6}=\frac{1}{6}$

So our answer becomes:

$\frac{1}{6}$

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Example Question #291 : Fractions

Solve the following problem:

$\small \frac{5}{12}-\frac{2}{12}-\frac{1}{12}=$

Possible Answers:

$\small \frac{1}{6}$

$\small \frac{9}{8}$

$\small \frac{5}{6}$

$\small \frac{5}{12}$

$\small \frac{1}{2}$

Correct answer:

$\small \frac{1}{6}$

Explanation:

When subtracting fractions, we just worry about the numerators, when all of the denominators are the same, so we can subtract as usual,

$\small 5-2-1=2$ .

This gives us the answer

$\small \frac{2}{8}$ ,

which can then be reduced to

$\small \frac{1}{4}$ .

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Example Question #395 : Arithmetic

Add:

$\frac{1}{9}+\frac{7}{3}$

Possible Answers:

$\frac{8}{3}$

$\frac{22}{3}$

$\frac{2}{3}$

$\frac{20}{9}$

$\frac{22}{9}$

Correct answer:

$\frac{22}{9}$

Explanation:

Rewrite using the lowest comon denominator. Since LCM (9, 3) = 9 :

$\frac{1}{9}+\frac{7}{3}=\frac{1}{9}+\frac{7\times 3}{3\times 3}=\frac{1}{9}+\frac{21}{9}=\frac{1+21}{9}=\frac{22}{9}$

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Example Question #33 : Fractions

Solve:

$\frac{3}{2}+\frac{7}{9}=$

Possible Answers:

$\frac{10}{11}$

$\frac{10}{9}$

$\frac{41}{18}$

Correct answer:

$\frac{41}{18}$

Explanation:

The least common multiple of 2 and 9 is 18.

$\frac{3}{2}=\frac{27}{18}$

$\frac{7}{9}=\frac{14}{18}$

$\frac{27}{18}+\frac{14}{18}=\frac{27+14}{18}=\frac{41}{18}$

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Example Question #396 : Arithmetic

$\frac{2}{5}+\frac{1}{5}=$

Possible Answers:

$\frac{1}{5}$

$\frac{3}{5}$

$\frac{2}{5}$

$\frac{5}{5}$

Correct answer:

$\frac{3}{5}$

Explanation:

Add the numerators:

$\frac{2}{5}+\frac{1}{5}=$ $\frac{3}{5}$

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All ISEE Middle Level Math Resources

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ISEE Middle Level Math : ISEE Middle Level (grades 7-8) Mathematics Achievement

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

All ISEE Middle Level Math Resources

Example Questions

Example Question #1321 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Example Question #1322 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Example Question #1323 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Example Question #1324 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Example Question #437 : Numbers And Operations

Example Question #1325 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Example Question #291 : Fractions

Example Question #395 : Arithmetic

Example Question #33 : Fractions

Example Question #396 : Arithmetic

All ISEE Middle Level Math Resources

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