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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 #31 : Numbers And Operations

If one cupcake costs 75 cents, how much does a dozen cupcakes cost?

Possible Answers:

$\$7.00$

$\$ 9.00$

$\$8.00$

$\$10.00$

Correct answer:

$\$ 9.00$

Explanation:

You can solve this problem using a proportion.

$\frac{1}{0.75}=\frac{12}{x}$

To solve for x, cross multiply.

$1\times x=12\times.75$

x=9.00

9 dollars

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Example Question #32 : Numbers And Operations

If you can purchase two pairs of jeans for 50 dollars, how many pairs of jeans can you purchase with 200 dollars?

Possible Answers:

Correct answer:

Explanation:

You can use a proportion to solve this problem.

$\frac{2}{50}=\frac{x}{200}$

Cross multiply to solve for x.

$50\times x=200\times2$

50x =400

$400\div50 = 8$

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Example Question #33 : Numbers And Operations

Phil earns $\$10.00$ for each hour he works. For every hour he works, he then gives $\$2.00$ to his sister Lola. How much money will Lola have if Phil works 13.5 hours?

Possible Answers:

$\$67.50$

$\$23.50$

$\$15.50$

$\$135.00$

$\$27.00$

Correct answer:

$\$27.00$

Explanation:

To Solve:

Multiply the $\$2.00$ Lola receives by the 13.5 hours Phil worked:

$\small $2.00 \cdot 13.5=27$

Phil will give Lola $\$27.00$ if he works 13.5 hours.

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Example Question #31 : Numbers And Operations

If the ratio of boys to girls in a classroom is 11:12 , and there are a total of of students in the classroom, how many boys are in the classroom?

Possible Answers:

Correct answer:

Explanation:

If the ratio of boys to girls in a classroom is 11:12 , that means that there are boys for every girls. Thus, when there are students in a classroom, the breakdown will be boys and girls. If there are students in a classroom, the breakdown will be boys and girls, which translates to a ratio of 22:24 , or 11:12 .

Thus, if there are students, will be boys.

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Example Question #35 : Numbers And Operations

You survey 500 students about the plans for a new practice court for the basketball team and they must give a yes or no answer. 490 students are against the use of funds on this project. What proportion of students said that they agreed with the plan?

Possible Answers:

0.025

0.02

0.05

0.98

0.5

Correct answer:

0.02

Explanation:

If 490 disagreed with the plan, that means the rest agreed.

So to find that value, you must do the total minus the no's

500-490=10 .

To find the proportion you must divide the part by the whole giving us an answer of 0.02

10/500=0.02 .

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Example Question #31 : Numbers And Operations

If Mike gets two times the amount of work done than Joe, what is a ratio representing the work that each get done?

Possible Answers:

1:3

2:1

6:5

5:2

1:1

Correct answer:

2:1

Explanation:

Since Mike does twice the work that Joe does, his part of the ratio must be double the value of Joe's. The only ratio given that has that is 2:1 .

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Example Question #37 : Numbers And Operations

Which statement does not follow from the statement $\frac{A}{9} = \frac{B }{11}$ ?

Possible Answers:

$\frac{A}{11} = \frac{B }{9}$

$\frac {9}{A}= \frac{11}{B }$

$\frac{9} {A}= \frac{11}{B }$

$\frac{A}{B} = \frac{9} {11}$

Correct answer:

$\frac{A}{11} = \frac{B }{9}$

Explanation:

If $\frac{A}{9} = \frac{B }{11}$ , then:

The ratio of the numerators is equivalent to that of the denominators, in the same order. Hence,

$\frac{A}{B} = \frac{9} {11}$ and $\frac{9} {A}= \frac{11}{B }$ are true.

The reciprocals of the ratios are equivalent, so

$\frac {9}{A}= \frac{11}{B }$

However, it does not hold that

$\frac{A}{11} = \frac{B }{9}$ .

This can be seen as follows:

$\frac{A}{9} = \frac{B }{11}$

$\frac{A}{9} \cdot \frac{9}{11}= \frac{B }{11}\cdot \frac{9}{11}$

$\frac{A}{11}= \frac{9B }{121} \ne \frac{B}{9}$ .

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Example Question #922 : Isee Middle Level (Grades 7 8) Mathematics Achievement

$\frac{A}{B} = \frac{3}{4}$

$\frac{A +B}{B} = ?$

Possible Answers:

$\frac{7}{3}$

$\frac{7}{4}$

$\frac{4}{3}$

$\frac{3}{7}$

Correct answer:

$\frac{7}{4}$

Explanation:

By a proportion property, if $\frac{A}{B} = \frac{C}{D}$ , it follows that $\frac{A+B}{B} = \frac{C+ D}{D}$ .

Setting C= 3 , D = 4 ,

if $\frac{A}{B} = \frac{3}{4}$ , then $\frac{A +B}{B} = \frac{3+4}{4} = \frac{7}{4}$ .

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Example Question #921 : Isee Middle Level (Grades 7 8) Mathematics Achievement

$\frac{A}{B} = \frac{5}{7}$

7A = ?

Possible Answers:

B + 5

$\frac{B}{5}$

$\frac{5}{B}$

Correct answer:

Explanation:

The cross-products (the product of a numerator and the other denominator) of a proportion are equal, so, if

$\frac{A}{B} = \frac{5}{7}$ , then

7 A = 5B .

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Example Question #4 : How To Find The Part From The Whole

Alice received $2.40 for her weekly allowance. If her favorite snacks cost 60¢ each, how many snacks can Alice buy this week?

Possible Answers:

Correct answer:

Explanation:

To solve:

Divide the total amount of Alice's allowance ($2.40) by the price for each snack ($ .60)

$2.40\div 0.60=4$

Alice would be able to buy 4 snacks.

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All ISEE Middle Level Math Resources

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

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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 #31 : Numbers And Operations

Example Question #32 : Numbers And Operations

Example Question #33 : Numbers And Operations

Example Question #31 : Numbers And Operations

Example Question #35 : Numbers And Operations

Example Question #31 : Numbers And Operations

Example Question #37 : Numbers And Operations

Example Question #922 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Example Question #921 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Example Question #4 : How To Find The Part From The Whole

All ISEE Middle Level Math Resources

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