ISEE Lower Level Math : How to divide

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

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Example Questions

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

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:

\(\displaystyle \frac{320}{10}\)

\(\displaystyle \frac{300}{20}\)

\(\displaystyle \frac{300}{15}\)

\(\displaystyle \frac{318}{12}\)

Correct answer:

\(\displaystyle \frac{320}{10}\)

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 \(\displaystyle 8>5\) we want to round up. Therefore \(\displaystyle 318\rightarrow 320\).

For the denominator, since \(\displaystyle 2< 5\) we want to round down. Therefore \(\displaystyle 12\rightarrow 10\).

Using compatible numbers\(\displaystyle \frac{320}{10}\) would be the correct estimate.

Example Question #141 : Operations

\(\displaystyle 81/3=?\)

Possible Answers:

\(\displaystyle 30\)

\(\displaystyle 20\)

\(\displaystyle 27\)

\(\displaystyle 31\)

\(\displaystyle 25\)

Correct answer:

\(\displaystyle 27\)

Explanation:

First you see how many times \(\displaystyle 3\) goes into \(\displaystyle 8\).  

It goes in \(\displaystyle 2\) times

\(\displaystyle (2*3=6)\) 

with a remainder of \(\displaystyle 2\) 

\(\displaystyle (8-6=2)\).  

You then bring down the \(\displaystyle 1\) to get \(\displaystyle 21\).  

\(\displaystyle 3\) goes into \(\displaystyle 21\) \(\displaystyle 7\) times evenly.  

So you put the \(\displaystyle 2\) and \(\displaystyle 7\) together to get your answer of \(\displaystyle 27\).

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