ISEE Middle Level Math : Numbers and Operations

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

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Example Questions

Example Question #41 : Numbers And Operations

Possible Answers:

Correct answer:

Explanation:

By a proportion property, if , it follows that .

Setting 

if , then .

Example Question #42 : Numbers And Operations

Possible Answers:

Correct answer:

Explanation:

The cross-products (the product of a numerator and the other denominator) of a proportion are equal, so, if

, then

.

Example Question #7 : How To Find The Part From The Whole

Alice received $2.40 for her weekly allowance. If her favorite snacks cost 60¢ each, how many snacks can Alice buy this week?

Possible Answers:

Correct answer:

Explanation:

To solve:

Divide the total amount of Alice's allowance ($2.40) by the price for each snack ($ .60)

Alice would be able to buy 4 snacks.

Example Question #1 : How To Find The Part From The Whole

Steve ate 20% of his pie on Monday.  On Tuesday Steve ate 50% of the left-over pie.  What percent of the pie is left?

Possible Answers:

20%

40%

60%

10%

30%

Correct answer:

40%

Explanation:

On Tuesday, Steve ate 50% (half) of the 80%, which is 40%.  Steve has eaten 20% on Monday and 40% on Tuesday, so there is 40% left over.

Example Question #8 : How To Find The Part From The Whole

As a swim team member, Nicolas needs to train 90 hours a month. How many hours should Nicolas train each day of the 30-day month, in order to reach his goal?

Possible Answers:

Correct answer:

Explanation:

Divide 90 hours by 30 days in the month:

Answer: Nicolas needs to train 3 hours a day.

Example Question #1 : How To Find The Part From The Whole

Brian found a motorcycle on sale for % off. If the original price of the motorcycle is $, how much will Brian save?

Possible Answers:

$

$

$

$

$

Correct answer:

$

Explanation:

In order to find how much money Brian saved, we my first calculae % of $.  We do this by multiplying by :

Since we are looking for how much Brian saved and not how much he spent, our final answer is $.

Example Question #2 : How To Find The Part From The Whole

An eight slice pizza pie must be shared evenly among four friends. How many slices will each person get?

Possible Answers:

Correct answer:

Explanation:

Divide:

Answer: Each person must get 2 slices.

Example Question #1 : Whole And Part

A teacher has sixty stickers to give out to her 15 students. How many stickers will each student receive?

Possible Answers:

Correct answer:

Explanation:

Divide:

Answer: 4 stickers. 

Example Question #4 : How To Find The Part From The Whole

Sixteen balloons are to be shared evenly among four children. How many balloons will each child get?

Possible Answers:

Correct answer:

Explanation:

Divide:

balloons

 

Example Question #2 : How To Find The Part From The Whole

Seventy people need to make five equal lines. How many people will be on each line?

Possible Answers:

Correct answer:

Explanation:

Divide:

people per line

 

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