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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 #251 : Fractions

Evaluate:

$6 \frac{9}{11} - 2 \frac{3}{11}+ 4 \frac{7}{11}$

Possible Answers:

$9 \frac{2}{11}$

$\frac{1}{11}$

$9\frac{8}{11}$

$\frac{10}{11}$

$13\frac{7}{11}$

Correct answer:

$9 \frac{2}{11}$

Explanation:

Subtract the first two fractions first. This is best done by writing vertically, and subtracting integer and fraction parts.

$6 \frac{9}{11}$

$\underline{- 2 \frac{3}{11}}$

$4 \frac{6}{11}$

Now add this to the third fraction similarly, adjusting as shown for the improper fraction:

$4 \frac{6}{11}$

$\underline{+ 4 \frac{7}{11}}$

$8 \frac{13}{11} = 8 +1 + \frac{2}{11} = 9 \frac{2}{11}$

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Example Question #401 : Numbers And Operations

Subtract:

8.1 -5.67

Possible Answers:

-13.77

7.533

2.43

-4.86

4.86

Correct answer:

2.43

Explanation:

Subtract vertically, making sure the decimal points in all three numbers line up (note that a zero has been appended to the first number):

$\begin{matrix} \; \; \; 8.10\\ \underline{-5.67}\\ \; \; \;2.43 \end{matrix}$

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Example Question #8 : How To Subtract Fractions

Subtract: $8\frac{1}{4}-5\frac{7}{8}$

Possible Answers:

$2\frac{3}{8}$

$3\frac{1}{2}$

$2 \frac{5}{8}$

$2\frac{1}{2}$

$3 \frac{5}{8}$

Correct answer:

$2\frac{3}{8}$

Explanation:

Rewrite the first fraction in eighths, as LCD (4,8) = 8 .

$8\frac{1}{4} = 8\frac{1\times 2}{4\times 2} = 8\frac{2}{8}$

Now write vertically:

$8\frac{2}{8}$

$-\underline{5\frac{7}{8}}$

"Borrow" in the first expression, then subtract integer and fractional parts separately:

$7\frac{10}{8}$

$-\underline{5\frac{7}{8}}$

$2\frac{3}{8}$

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Example Question #402 : Numbers And Operations

$\frac{7}{15}-\frac{6}{15}=$

Possible Answers:

$\frac{1}{15}$

$\frac{13}{15}$

Correct answer:

$\frac{1}{15}$

Explanation:

Subtract the numerators:

$\frac{7}{15}-\frac{6}{15}=\frac{1}{15}$

Answer: $\frac{1}{15}$

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Example Question #1052 : Hspt Mathematics

Which of the following expressions is equal to $15 - 7 \frac{3}{4}$ ?

Possible Answers:

8.25

7.25

8.2

7.8

7.75

Correct answer:

7.25

Explanation:

Rewrite $7 \frac{3}{4}$ as a decimal:

$3 \div 4 = 0.75$ , so $7 \frac{3}{4} = 7.75$

Now subtract:

15.00

$\underline{-7.75}$

7.25

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Example Question #255 : Fractions

Which of the following is equal to 4 - 2.8 ?

Possible Answers:

$\frac{11}{5}$

$\frac{6}{5}$

$\frac{5}{4}$

$\frac{9}{4}$

$\frac{8}{5}$

Correct answer:

$\frac{6}{5}$

Explanation:

Subtract vertically, making sure the decimal points line up.

4.0

$\underline{-2.8}$

1.2

This is twelve tenths; write this as a fraction and simplify:

$\frac{12}{10} = \frac{12\div 2}{10\div 2} = \frac{6}{5}$

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Example Question #451 : Arithmetic

$\frac{12}{3}-\frac{8}{3}=$

Possible Answers:

$1\frac{2}{3}$

$1\frac{1}{3}$

$\frac{2}{3}$

$\frac{3}{4}$

Correct answer:

$1\frac{1}{3}$

Explanation:

In order to subtract fractions we need to have a common denominator (the number on the bottom of each fractions). In this case we do have common denominators.

We need to then subtract the numerators, in this case 12-8=4 .

After subtracting the numerators we keep the denonimator the same.

$\frac{4}{3}$

This is known as an improper fraction because the numerator is greater than the denominator. So we need to rewrite into a mixed number. Fractions can also be read as division, meaning 4 divided by 3 is????

$1\frac{1}{3}$

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Example Question #261 : Fractions

1.2 t +3.2 = 5.36

Which of the following is equal to ?

Possible Answers:

$t= \frac{7}{4}$

$t= \frac{3}{2}$

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

$t= \frac{8}{5}$

Correct answer:

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

Explanation:

1.2 t +3.2 = 5.36

1.2 t +3.2- 3.2 = 5.36 - 3.2

1.2 t = 2.16

$1.2 t \div 1.2 = 2.16\div 1.2$

Move the decimal point in each over one place:

$t= 21.6 \div 1 2 =1.8$

Rewrite as a fraction:

$t= 1.8 = \frac{18}{10} = \frac{9}{5}$

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Example Question #262 : Fractions

Solve:

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

Possible Answers:

$\frac{1}{9}$

$-\frac{1}{2}$

$\frac{6}{63}$

$\frac{13}{63}$

Correct answer:

$\frac{13}{63}$

Explanation:

Find the least common denominator:

The least common denominator of $\small 7$ and $\small 9$ is $\small 63$ .

$\frac{3}{7}=\frac{27}{63}$

$\frac{2}{9}=\frac{14}{63}$

$\frac{27}{63}-\frac{14}{63}=\frac{13}{63}$

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Example Question #1291 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Find the difference:

$\frac{11}{50}-\frac{4}{50}=$

Possible Answers:

$\frac{7}{50}$

$\frac{15}{50}$

$\frac{4}{100}$

$\frac{44}{2500}$

Correct answer:

$\frac{7}{50}$

Explanation:

Since the denominators of the two fractions are the same, we can simply subtract one numerator from the other:

$\frac{11}{50}-\frac{4}{50}=\frac{7}{50}$

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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 #251 : Fractions

Example Question #401 : Numbers And Operations

Example Question #8 : How To Subtract Fractions

Example Question #402 : Numbers And Operations

Example Question #1052 : Hspt Mathematics

Example Question #255 : Fractions

Example Question #451 : Arithmetic

Example Question #261 : Fractions

Example Question #262 : Fractions

Example Question #1291 : Isee Middle Level (Grades 7 8) Mathematics Achievement

All ISEE Middle Level Math Resources

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