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 #74 : Whole And Part

What is  of  ? 

Possible Answers:

Correct answer:

Explanation:

To find a fraction of a whole number, we will multiply the fraction by the whole number.  So, we get

 

 

 

 

 

 

Therefore,  of  is .

Example Question #75 : Whole And Part

What is  of  ? 

Possible Answers:

Correct answer:

Explanation:

To find a fraction of a whole number, we will multiply the fraction by the whole number.  So, we get

 

 

 

 

 

 

Therefore,   of  is .

Example Question #76 : Whole And Part

What is half of 36 ? 

Possible Answers:

Correct answer:

Explanation:

To find a fraction of a whole, we will multiply the fraction by the whole number.

 

Now, we know "half" is the same as .  So, we get

 

 

 

 

 

 

Therefore, half of 36 is 18.

Example Question #161 : Numbers And Operations

What is  of  ?

Possible Answers:

Correct answer:

Explanation:

To find a fraction of a whole number, we will multiply the fraction by the whole number.  So, we get

 

We can simplify before we multiply.  The 3 and the 27 can both be divided by 3.  So, we get

 

 

 

 

Therefore,  of  is .

Example Question #162 : Numbers And Operations

What is  of  ?

Possible Answers:

Correct answer:

Explanation:

To find a fraction of a whole number, we will multiply the two together.  So, we get

 

 

 

 

Example Question #1 : Operations

Susie needs to buy new supplies for school. Pencils are sold for 23 cents a piece. Notebooks are sold in pairs, at $3.04 a pair. Folders are sold in packages of 4, and each package costs $2.12. 

If Susie buys a 7 pencils, 8 notebooks, and a dozen folders with $25, how much change should she receive?

Possible Answers:

$2.75

$4.87

$4.78

Susie does not have enough money to purchase all of these school supplies. 

$8.83

Correct answer:

$4.87

Explanation:

Pencils are sold for $0.23 each.

If Susie buys 7 pencils, she is paying

7 x $0.23 = 

$1.61 for pencils.

Notebooks are sold in pairs (or in packages of two), for $3.04 a pair. 

If Susie buys 8 notebooks, that means that she bought

8 ÷ 2 =

4 pairs of notebooks.

So, 4 pairs of notebooks, at $3.04 a pair costs

4 x $3.04 =

$12.16. 

Susie also buys a dozen, or 12, folders. Folders come in packages of 4.

This means that Susie buys

12 ÷ 4 = 

3 packages of folders.

Because each package costs $2.12, Susie pays

3 x $2.12 = 

$6.36 for a dozen folders.

If we add up the total cost of the pencils, notebooks, and folders we get 

$1.61 + $12.16 + $6.36 = 

$20.13.

Because Susie pays $25, she will be left with 

$25 – $20.13 =

$4.87 in change.

Example Question #2 : Operations

Possible Answers:

Correct answer:

Explanation:

Example Question #3 : Operations

Solve using the order of operations:

Possible Answers:

Correct answer:

Explanation:

The order of operations states that we must begin solving the mathematical expression by evaluating numbers in parentheses. In this expression, is in parentheses. When we solve this, we get . Our expression can now be rewritten as:

The order of operations states that the next step would be to evaluate any term with an exponent. Since there are no exponents in this expression, we move on to multiplication. In this expression we are asked to multiply , which is . Our expression can now be written as:

The order of operations would have us divide next, but seeing as there is no division in this expression, we move on to addition. .

Example Question #2 : Multiplication And Division

Read the following problem but do not solve it.

Acording to Mr. Smith's will, when he dies, each of his six children is to be left a parcel of land 510 acres in area. If these six parcels make up all of the farm, then how large is Mr. Smith's farm now?

Which of the following expressions must be evaluated in order to answer this question?

Possible Answers:

Correct answer:

Explanation:

There are six parcels of equal size; the total size is therefore the product of the common size (510 acres) and the number of parcels (6). This is 

Example Question #4 : Operations

Evaluate  for 

Possible Answers:

Correct answer:

Explanation:

Substitute 7 for 

By order of operations, multiply, then subtract.

 

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