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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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All ISEE Lower Level Math Resources

10 Diagnostic Tests 170 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : Whole And Part

is $30\%$ of what number?

Possible Answers:

5.0

4.5

Correct answer:

Explanation:

Solve by setting up a proportion.

$\frac{15}{?}=\frac{30}{100}$

Cross multiply.

(15)(100)=(30)(?)

1500=30(?)

$?=\frac{1500}{30}=50$

is $30\%$ of .

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Example Question #1 : Whole And Part

Which of the following numbers is a multiple of ten?

Possible Answers:

104

Correct answer:

Explanation:

A multiple is a number that can be divided by another number without a remainder. 30 can be divided by 10 without a remainder.

$30\div10=3$

It is the only number from the list of answer choices for which this is true. Therefore, it is the correct answer.

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Example Question #2 : Whole And Part

Andrea and her three friends all pitched in to buy a puppy. Each person paid equal parts. If Andrea paid 20 dollars, what was the total cost of the puppy?

Possible Answers:

$\$60$

$\$80$

$\$50$

$\$20$

$\$100$

Correct answer:

$\$80$

Explanation:

We can solve this question with multiplication.

First, we know that Andrea paid 20 dollars and that each person paid equal parts. That means that each person paid 20 dollars.

Second, we know that there are four people total: Andrea and three additional friends.

Multiply the cost per person by the number of people to get the total cost.

$4\times\$20=\$80$

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

Together, Patricia, Alex and Steve compose 25 percent of their math club. How big is the math club?

Possible Answers:

10 people

9 people

4 people

12 people

Correct answer:

12 people

Explanation:

If 3 people compose 25% of the math club, then 100% of the math club would consist of 4 times the number 3. This gives us a product of 12. Therefore, the correct answer is 12 people.

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Example Question #6 : How To Find The Whole From The Part

Bessy is making shirts for her daughters. If 2 square feet of fabric is enough for her to make 1 shirt, how many shirts can she make with 9 square feet of fabric?

Possible Answers:

7 shirts

6 shirts

9 shirts

4 shirts

5 shirts

Correct answer:

4 shirts

Explanation:

Given that 2 square feet of fabric is enough for Bessy to make 1 shirt, 9 square feet of fabric is 4.5 times the amount needed to make a shirt. This means that Bessy could make 4.5 shirts. Because making 0.5 shirts does not count as a full shirt, the correct answer is therefore 4 shirts.

$9\div2=4.5\rightarrow 4$

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Example Question #91 : Isee Lower Level (Grades 5 6) Mathematics Achievement

There are 4 canoes at a summer camp. Each canoe can hold a maximum of 6 campers, but each canoe must have an even number of campers in order to maintain balance.

Which of the following is NOT a possible number of campers who could have paddled from one end of the lake to the other using all 4 canoes?

Possible Answers:

Correct answer:

Explanation:

If each canoe requires an even number of campers, then it would have been impossible for 6 campers to have paddled across in all 4 canoes.

This is because if 6 campers used the canoes, 2 campers would have gone the first two canoes, while 1 camper would have gone in each of the 2 remaining canoes. Only having 1 camper per canoe would have been an odd number of campers, causing the canoe to be unbalanced.

6 campers:

Canoe 1 - 2, Canoe 2 - 2, Canoe 3 - 1, Canoe 4 - 1

In order for each canoe to have an even number of campers, there must be a minimum of 8 campers.

If there were 8 campers:

Canoe 1 - 2, Canoe 2 - 2, Canoe 3 - 2, Canoe 4 - 2

If there were 12 campers:

Canoe 1 - 2, Canoe 2 - 2, Canoe 3 - 2, Canoe 4 - 6

If there were 14 campers:

Canoe 1 - 2, Canoe 2 - 2, Canoe 3 - 4, Canoe 4 - 6

If there were 20 campers:

Canoe 1 - 4, Canoe 2 - 4, Canoe 3 - 6, Canoe 4 - 6

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Example Question #12 : How To Find The Whole From The Part

Greg eats 4 brownies, which is equal to $\frac{2}{17}$ of the total batch. How many brownies are in the total batch?

Possible Answers:

Correct answer:

Explanation:

If b is equal to the number of brownies in the batch, the following equation can be used to determine the value of b:

$\frac{2}{17}=\frac{4}{b}$

Given that 4 is twice the value of 2, it follows that b will be twice the value of 17. Therefore, the value of b is 17 mutliplied by 2, which is 34.

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Example Question #13 : How To Find The Whole From The Part

There are four tea bags left in a box. If this quantity is 25% of the original, how many tea bags were originally in the box?

Possible Answers:

Correct answer:

Explanation:

We can set up a proportion to solve:

$\frac{4\ \textup{tea bags} }{x\ \textup{original tea bags}}=\frac{1}{4}$

Cross-multiply:

$x\ \textup{original tea bags}=4\times 4=16\ \textup{tea bags}$

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Example Question #14 : How To Find The Whole From The Part

What is the value of the expression below?

$\frac{3(3+5)-6+9}{1+2}$

Possible Answers:

Correct answer:

Explanation:

To solve the expression, $\frac{3(3+5)-6+9}{1+2}$ , the key is to reduce it step by step, as shown below:

$\frac{3(3+5)-6+9}{1+2}$

$\frac{3\cdot 8+3}{3}$

$\frac{24+3}{3}$

$\frac{27}{3}$

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Example Question #13 : How To Find The Whole From The Part

What is the value of the expression below?

14-7+(-7-3)+(2+5)-3

Possible Answers:

Correct answer:

Explanation:

To solve 14-7+(-7-3)+(2+5)-3 , the expression must be reduced step by step, starting with the parentheses.

14-7+(-10)+(7)-3

14-7-10+7-3

Negative 7 and positive 7 cancel each other out.

14-10-3

Therefore, 1 is the correct answer.

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All ISEE Lower Level Math Resources

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

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

All ISEE Lower Level Math Resources

Example Questions

Example Question #1 : Whole And Part

Example Question #1 : Whole And Part

Example Question #2 : Whole And Part

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

Example Question #6 : How To Find The Whole From The Part

Example Question #91 : Isee Lower Level (Grades 5 6) Mathematics Achievement

Example Question #12 : How To Find The Whole From The Part

Example Question #13 : How To Find The Whole From The Part

Example Question #14 : How To Find The Whole From The Part

Example Question #13 : How To Find The Whole From The Part

All ISEE Lower Level Math Resources

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