ISEE Lower Level Math : Numbers and Operations

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

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Example Questions

Example Question #11 : How To Divide

What is the remainder of \displaystyle \frac{39}{7}?

Possible Answers:

\displaystyle 5

\displaystyle 7

\displaystyle 2

\displaystyle 4

\displaystyle 6

Correct answer:

\displaystyle 4

Explanation:

\displaystyle 7 does not go into \displaystyle 39 evenly, but it does go into \displaystyle 35.

\displaystyle 5 * 7 = 35

\displaystyle 39 - 35 = 4

\displaystyle \therefore \frac{39}{7} = 5\ R4

Example Question #262 : Isee Lower Level (Grades 5 6) Mathematics Achievement

Find the quotient. Round to the nearest tenth.

\displaystyle 5.2\div0.9=

Possible Answers:

\displaystyle 0.6

\displaystyle 5

\displaystyle 5.6

\displaystyle 5.7

\displaystyle 5.8

Correct answer:

\displaystyle 5.8

Explanation:

When dividing with decimals, remember to move the decimals in both terms all the way to the right:

\displaystyle 0.9 becomes \displaystyle 9.

\displaystyle 5.2 becomes \displaystyle 52.

Now divide. Remember to follow the rules of “bringing down” when there is a remainder.

The quotient is \displaystyle 5.7777 ... Round to the nearest tenth, and then correct answer is \displaystyle 5.8.

Example Question #12 : How To Divide

Which number is divisble by \displaystyle 6 with a remainder of \displaystyle 4?

Possible Answers:

\displaystyle 161

\displaystyle 164

\displaystyle 166

\displaystyle 162

\displaystyle 165

Correct answer:

\displaystyle 166

Explanation:

The trick here is recognize which number is divisible by six with no remainder. If you add the digits of an even number together, anytime that those digits equal a sum that is divisible by three, the number itself will be divisble by six with no remainder. 

\displaystyle 162 is even and divisible by \displaystyle 3. Any number whose digits add up to a number divisible by \displaystyle 3 is divisible by \displaystyle 3. Here, \displaystyle 1 + 6 + 2 = 9, which is divisible by \displaystyle 3. Therefore, \displaystyle 162 is dvisible by \displaystyle 6 with no remainder.

To find a number that would have a remainder of \displaystyle 4 when divided by \displaystyle 6, you would add \displaystyle 4 to the number \displaystyle 162. This gives you \displaystyle 166

Example Question #14 : How To Divide

Ron is drinking a vanilla ice blended beverage. It is 18 ounces. He finishes one third of it. How many ounces remain?

Possible Answers:

17 ounces

16 ounces

12 ounces

8 ounces

Correct answer:

12 ounces

Explanation:

If Ron's drink is 18 ounces, one third is equal to 6 ounces. Because 18 minus 6 is 12, 12 ounces is the correct answer. 

Example Question #261 : Numbers And Operations

Which of the following numbers is divisible by 9 without a remainder?

Possible Answers:

\displaystyle 63

 \displaystyle 59

\displaystyle 61

\displaystyle 60

\displaystyle 62

Correct answer:

\displaystyle 63

Explanation:

A trick to help determine when a number is divisble by 9 without a remainder is to add the units together and see whether the sum of the units is divisible by 9.

For the number 63, \displaystyle 6+3=9. Given that 9 is divisible by 9 with no remainder, it is the correct answer. 

\displaystyle 63\div9=7

Example Question #262 : Numbers And Operations

Gerry is splitting a 16 ounce hamburger between himself and 3 friends. If he divides the hamburger equally, how many ounces does each friend get?

Possible Answers:

7 ounces

8 ounces

6 ounces

5.5 ounces

4 ounces

Correct answer:

4 ounces

Explanation:

If Gerry is sharing the hamburger with 3 friends, that means that there are 4 people total who are sharing the 16 ounce hamburger. To determine how many ounces each person would get, 16 should be divided by 4.

\displaystyle 16\ \text{ounces}\div4\ \text{people}=4\ \text{ounces per person}

Therefore, 4 ounces is the correct answer. 

Example Question #263 : Numbers And Operations

3 friends are sharing 12 cookies equally between them. How many cookies does each person get?

Possible Answers:

\displaystyle 4

\displaystyle 5

None of these

\displaystyle 2

\displaystyle 6

Correct answer:

\displaystyle 4

Explanation:

Given that there are 12 cookies and 3 friends, the number of cookies that each friend can have is the result of 12 divided by 3.

\displaystyle 12\div3=4

Each person would get 4 cookies.

Example Question #264 : Numbers And Operations

Annette bought a television of $1,000, but can't afford to pay for it all at once. The most that she can pay each month is $50. How many months will it take her to pay off the television?

Possible Answers:

\displaystyle 32

\displaystyle 20

\displaystyle 10

\displaystyle 25

\displaystyle 50

Correct answer:

\displaystyle 20

Explanation:

If the most that Annette can pay for her $1,000 television each month is $50, then it will take her 20 months to pay off her television because $1,000 divided by $50 is 20.  

\displaystyle \$1000\div50=20

Example Question #265 : Numbers And Operations

What is the remainder when 2411 is divided by 8?

Possible Answers:

\displaystyle 3

\displaystyle 2

\displaystyle 5

\displaystyle 1

No remainder

Correct answer:

\displaystyle 3

Explanation:

Use long division to solve.

8 goes into 24 three times with no remainder, so the first digit of the answer is 3.

8 goes into 1 zero times, so the next digit is zero. The 1 carries to amke the next division 8 into 11.

Finally, 8 goes into 11 once with a remainder of 3. This makes the last digit of the answer 1, with a remainder of 3.

Final answer: \displaystyle 2411\div8=301R3

The final remainder is 3.

Example Question #16 : How To Divide

Which of the following is divisible by 7 without a remainder?

Possible Answers:

\displaystyle 57

\displaystyle 56

\displaystyle 54

\displaystyle 53

\displaystyle 55

Correct answer:

\displaystyle 56

Explanation:

The number 56 is the only answer choice divisble by 7 without a remainder.

\displaystyle 56\div7=8

All of the other answer options result in non-zero remainders.

\displaystyle 53\div7=7R4

\displaystyle 54\div7=7R5

\displaystyle 55\div7=7R6

\displaystyle 57\div7=8R1

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