ISEE Lower Level Math : ISEE Lower Level (grades 5-6) Mathematics Achievement

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

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Example Questions

Example Question #41 : How To Divide

What is the value of the expression below?

Possible Answers:

Correct answer:

Explanation:

In order to solve , the second fraction must be inverted and multiplied by the first fraction. This gives us:

 

The numerators are multiplied by one another, as are the denominators. 

This can be simplified to , which is the correct answer.

Example Question #42 : How To Divide

Which of the following is the best estimate of the expression below?

Possible Answers:

Correct answer:

Explanation:

The expression  can be rewritten as:

When rounded to the nearest ones place, this gives us:

, which is equal to 

(The decimal equivalent of  is , while the decimal equivalent of  is . Thus,  is in fact the closest estimate of the expression  amongst the given answer choices. 

Example Question #43 : How To Divide

Joe is half the age of his brother Tom, who is eight years old. In three years, what will be the value of Joe's age divided by Tom's age?

Possible Answers:

Correct answer:

Explanation:

If Joe is half the age of Tom and Tom is  years old, then Joe is  years old. In  years, Joe will be  years old and Tom will be  years old. 

Therefore, in  years, Joe's age divided by Tom's age will be .

Example Question #44 : How To Divide

If apples cost  per pound, how many pounds would  buy?

Possible Answers:

Correct answer:

Explanation:

If apples cost  per pound, then the number of pounds that  could buy would be equal to . This is equal to

(An easy way to solve this is to double the numbers, resulting in  .)

Example Question #291 : Numbers And Operations

Beth lives twelve miles away from Claire. They meet at a point between them, with Beth driving one-third of the distance, and Claire driving two-thirds of the distance. How many miles did Claire drive?

Possible Answers:

 miles

 miles

 miles

 miles

Correct answer:

 miles

Explanation:

Given that Claire drove two-thirds of the distance between her and Beth, she drove  miles because .

Therefore,  is the correct answer. 

Example Question #46 : How To Divide

If Henry ran  miles in  minutes and  seconds, how long (on average) did it take him to run each mile?

Possible Answers:

 minutes and  seconds

 minutes

 minutes and  seconds

 minutes,  seconds. 

Correct answer:

 minutes and  seconds

Explanation:

If Henry ran  miles in  minutes and  seconds, we can find how long each mile took him to run by dividing his time by .  and 

Therefore, the answer is that each mile took Henry (on average)  minutes and  seconds to run.

Example Question #291 : Isee Lower Level (Grades 5 6) Mathematics Achievement

How many prime numbers are there between 14 and 30?

Possible Answers:

Correct answer:

Explanation:

The prime numbers between 14 and 30 are 17, 19, 23, and 29. 

Thus, there are 4 prime numbers. 

Example Question #292 : Isee Lower Level (Grades 5 6) Mathematics Achievement

Kellie is a maltipoo, meaning he is half poodle, half maltese. Kellie then has a litter with Frankie, who is half chihuahua, half pug. What percentage maltese will the puppies be?

Possible Answers:

75 percent

50 percent

0 percent

25 percent

Correct answer:

25 percent

Explanation:

Because Kellie is half maltese, if she has puppies, then those puppies will be half of the breed mixture that she is. If she is half maltese, she is 50 percent maltese. Half of 50 percent is 25 percent. Therfore, 25 percent is the correct answer. 

Example Question #294 : Isee Lower Level (Grades 5 6) Mathematics Achievement

Evaluate: 




Possible Answers:

Correct answer:

Explanation:

To correctly evaluate this problem, first find the product of . Then divide that product by a divisor of 

The solution is:

Example Question #50 : How To Divide

Simplify: 

Possible Answers:

Correct answer:

Explanation:

To simplify  first reduce the fraction to an equivalent improper fraction with small numbers. Then convert to a mixed number:



Note: 

Alternatively you could reduce the original fraction by dividing the numerator by the denominator:



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