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 #61 : How To Divide

A total of 318 cookies will be divided evenly among 12 friends? Which expression gives the best estimate of the total amount of cookies each person would get?

Possible Answers:

Correct answer:

Explanation:

To find the correct solution to this question we must identify what the question is asking.

Which expression gives the best estimate of the total amount of cookies each person would get?

The word "estimate" means we want to find a approximate value and not the true value. Lets look at the numberator and denominator and round each one.

For the numerator, since  we want to round up. Therefore .

For the denominator, since  we want to round down. Therefore .

Using compatible numbers would be the correct estimate.

Example Question #62 : How To Divide

Possible Answers:

Correct answer:

Explanation:

First you see how many times  goes into .  

It goes in  times

 

with a remainder of  

.  

You then bring down the  to get .  

 goes into   times evenly.  

So you put the  and  together to get your answer of .

Example Question #311 : Isee Lower Level (Grades 5 6) Mathematics Achievement

Henry had $538.23 in his checking account at the bank before he went shopping. At the mall, he spent $43.91 at one store and $71.84 at another store. How much money does Henry have left in his bank account?

Possible Answers:

$423.48

$422.48

$422.84

$423.52

Correct answer:

$422.48

Explanation:

To find the difference, you must subtract. But first you must add the two amounts he spent at the mall:

 

 

Now subtract. Line up the numbers vertically. Remember to use the rules of borrowing to subtract.

 


Henry now has $422.48 in his bank account.

Example Question #1 : How To Subtract

Evaluate:

Possible Answers:

Correct answer:

Explanation:

is the same as .

Example Question #2 : How To Subtract

The total combined weight a 4 boxes is 25 lbs. Box A weighs 4 lbs, box B weighs 10 lbs, and box D weighs 6 lbs. How much does box C weigh?

Possible Answers:

6 lbs

10 lbs

5 lbs 

12 lbs

4 lbs

Correct answer:

5 lbs 

Explanation:

To find the weight of box C, subtract the weight of the other three boxes from the total weight. 

Box C = Total - Box A - Box B - Box D

Box C = 25 lbs - 4 lbs - 10 lbs - 6 lbs

Box C = 5 lbs 

Example Question #2 : How To Subtract

Solve the following number sentence.

Possible Answers:

None of the other answers.

Correct answer:

Explanation:

To successfully solve this question, the order of operations must be used.

There are 4 steps in the order of operations and they are as follows:

1. P - Solve all problems within a parentheses.

2. E - Solve any numbers that have an exponent.

3. MD - From the left side of the problem to the right side of the problem solve all Division and Multiplication.

4. AS - From the left side of the problem to the right side of the problem solve all Subtraction and Addition.

 Based on the rules the first part of the problem to be solved is  as it is in parentheses.  The other parts of the problem remain the same and are re-written until their step is reached.

Next the exponent is to be solved.  The exponent number in this problem is which means to multuply the base to itself  times.

Next looking from the left to the right of the problem there are no multiplication or division calculations to do so skip to the last step.

Finally, starting from the left side of the problem and moving to the right side of the problem each set of two numbers will be solved until the final answer is reached.  Starting with  then  and lastly .

The final answer would be .

Example Question #3 : How To Subtract

Sam is shipping five boxes, which weigh 50 pounds in total. The first four boxes weigh 8 pounds, 12 pounds, 9 pounds, and 15 pounds. How much does the last box weigh?

Possible Answers:

Correct answer:

Explanation:

First, add the first four boxes together:

Now, subtract this number from the total to find the weight of the remaining box:

Example Question #4 : How To Subtract

Evaluate:

Possible Answers:

Correct answer:

Explanation:

First, adding negative numbers is the same as subtracting them:

Now subtract:

Example Question #5 : How To Subtract

Mark went to the grocery store to buy ingredients to make a cake. He bought eggs for $2.99, flour for $4.99, sugar for $3.99, and butter for $2.50. If he paid the cashier with a $20 bill, how much money did he recieve in change?

Possible Answers:

Correct answer:

Explanation:

Since the question is asking how much money did Mark have left over, we need to subtract the cost of each item he bought from $20.

There are two ways of solving this problem:

  • We can add up the cost of all the ingredients and then subtract the total cost from $20.00

  • We can subtract the cost of each item from $20.00. Note, if we choose to solve the problem this way, we must follow order of operations and go from left to right     

Example Question #6 : How To Subtract

Solve:

Possible Answers:

 

Correct answer:

Explanation:

In order to solve this problem, you must follow order of operations. One way of remembering the correct order is to remember the acronym PEMDAS. PEMDAS reminds you what you need to do first.

  • P = Parentheses
  • E = Exponents
  • M = Multiplication
  • D = Division
  • A = Addition
  • S = Subtraction

Note: For Multiplication and Division, and Addition and Subtraction, you do whatever operation comes first from left to right. So, if subtraction comes before addition, you do the subtraction first.

In this question, you are asked to solve:  

First, we subtract  from since it is in the parenthesis (PEMDAS)

Second, we multiply by (PEMDAS)

Third, we subtract from . We subtract from  first because we have to go from left to right (PEMDAS)

Lastly, we subtract from to get the answer.

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