ISEE Middle Level Quantitative : ISEE Middle Level (grades 7-8) Quantitative Reasoning

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

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Example Questions

Example Question #3 : How To Find Percentage

 is a positive integer. Which is the greater quantity?

(A) 25% of 

(B) 50% of 

Possible Answers:

(B) is greater

It is impossible to determine which is greater from the information given

(A) and (B) are equal

(A) is greater

Correct answer:

It is impossible to determine which is greater from the information given

Explanation:

The greater of the two can be shown to depend on the value of .

 

Example 1: 

Then 25% of  is equal to 

and 50% of  is equal to 

This makes (A) greater.

 

Example 2: 

Then 25% of  is equal to 

and 50% of  is equal to 

This makes (B) greater.

 

Therefore, insufficient information is given in the problem to determine which is the greater.

Example Question #45 : Percentage

 is a positive number. Which is greater?

(A) 60% of 40% of 

(B) 50% of 50% of 

Possible Answers:

It is impossible to determine which is greater from the information given

(B) is greater

(A) and (B) are equal

(A) is greater

Correct answer:

(B) is greater

Explanation:

40% of  is equal to ; 60% of that is 

50% of  is equal to ; 50% of that is 

Since  is positive and 

,

and (B) is greater.

Example Question #931 : Isee Middle Level (Grades 7 8) Quantitative Reasoning

What is 0.5% of 1,000,000?

Possible Answers:

Correct answer:

Explanation:

Convert the percentage to a decimal:

Multiply by 1,000,000 to get our answer.

Example Question #932 : Isee Middle Level (Grades 7 8) Quantitative Reasoning

What is 200% of 1,000?

Possible Answers:

Correct answer:

Explanation:

Convert the percentage to a decimal.

Multiply 1,000 by the decimal value to find the answer.

Example Question #12 : How To Find Percentage

 is positive.

Which is the greater quantity?

(A) Three multiplied by 75% of 

(B) Six multiplied by 35% of 

Possible Answers:

It is impossible to determine which is greater from the information given

(A) and (B) are equal

(A) is greater

(B) is greater

Correct answer:

(A) is greater

Explanation:

75% of  is ; three multiplied by this is 

.

 

35% of  is ; six multiplied by this is 

.

 

Since  and  is positive, , so (A) is greater regardless of the value of .

Example Question #933 : Isee Middle Level (Grades 7 8) Quantitative Reasoning

What is the percent change from 20 to 25?

Possible Answers:

20 percent increase

20 percent decrease

25 percent increase

25 percent decrease

Correct answer:

25 percent increase

Explanation:

Given that the change between 20 and 25 is an increase in 5 from the base of 20, the first step is to calculate the fractional increase. 

Given that , there is a 25 percent increase. Thus, "25 percent increase" is the correct answer. 

Example Question #934 : Isee Middle Level (Grades 7 8) Quantitative Reasoning

What is the percent change from 60 to 54?

Possible Answers:

10 percent increase

10 percent decrease

11 percent decrease

10 percent decrease

Correct answer:

10 percent decrease

Explanation:

The change from 60 to 54 is a decrease in 6 from the base of 60. 

Given that , there is a 10 percent decrease. Thus, "10 percent decrease" is the correct answer. 

Example Question #935 : Isee Middle Level (Grades 7 8) Quantitative Reasoning

If 6 out of 8 dogs at a pound get adopted, what percentage of the dogs will get adopted?

Possible Answers:

Correct answer:

Explanation:

If 6 out of 8 dogs get adopted, that means that  are adopted. 

 of 100 is 75. Therefore, 75 percent of the dogs were adopted.  

Example Question #16 : How To Find Percentage

There is a total of 50 houses in a neighborhood. 20 of the houses have red roofs and 15 of the houses have black roofs. The rest of the houses have green roofs. What percentage of the houses have green roofs?

Possible Answers:

Correct answer:

Explanation:

If there are a total of 50 houses and the total of red and black roofed houses is 35, there must be 15 green houses in this neighborhood.

To figure out what percentage a number makes up of any larger amount, divide the part by the whole. Since there are 15 green roofed houses, you should divide 15 by 50.

When you multiply the decimal by 100, your result will be the percentage the smaller number makes up of the larger amount.

Therefore, the answer is 30%

Example Question #15 : How To Find Percentage

There is a total of 50 houses in a neighborhood. 20 of the houses have red roofs and 15 of the houses have black roofs. The rest of the houses have green roofs. What percentage of the houses have black roofs?

Possible Answers:

Correct answer:

Explanation:

To figure out what percentage a number makes up of any larger amount, divide the part by the whole. Since there are 15 black roofed houses, you should divide 15 by 50.

When you multiply the decimal by 100, your result will be the percentage the smaller number makes up of the larger amount.

Therefore, the answer is 30%

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