ISEE Lower Level Quantitative : Numbers and Operations

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

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Example Questions

Example Question #1 : Numbers And Operations

Sandy made \(\displaystyle \small 864\) candles in one day.  If she packs them in boxes of \(\displaystyle \small 12\), how many boxes will she have?

Possible Answers:

\(\displaystyle \small 876\)

\(\displaystyle \small 72\)

\(\displaystyle \small 10,368\)

\(\displaystyle \small 852\)

\(\displaystyle \small 86\)

Correct answer:

\(\displaystyle \small 72\)

Explanation:

Sandy has \(\displaystyle \small 864\) candles, which she needs to divide in to boxes that contain \(\displaystyle \small 12\) candles each.

\(\displaystyle \small 864/12 = 72\)

Sandy has 72 boxes of candles.

Example Question #2 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

Find the quotient.

\(\displaystyle \frac{3(3+4)^{2}}{15-8}=\)

Possible Answers:

147

21

18

10

Correct answer:

21

Explanation:

When solving a problem with multiple operations, always remember: PEMDAS!

To find the quotient, first do the "P" \(\displaystyle (3+4=7)\).  

Then the "E" \(\displaystyle (7)^{2} =49\)

Then the "M"  \(\displaystyle 3(49)=147\)

Now "D" \(\displaystyle \frac{147}{7}=21\)

The quotient is 21.

Example Question #1 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

Which expression is equivalent to \(\displaystyle 2(3-2)\)\(\displaystyle ?\)

Possible Answers:

\(\displaystyle 4+1\)

\(\displaystyle 8-5\)

\(\displaystyle 7+1\)

\(\displaystyle 1+1\)

Correct answer:

\(\displaystyle 1+1\)

Explanation:

The original expression is equal to 2 (remember order of operations-PEMDAS). Therefore, \(\displaystyle 1+1\) is the correct answer because that is the only response that is equal to 2. 

Example Question #2 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

In the pantry, there is an equal number of cereal boxes, bags of chips, and boxes of cookies. How many items could be in the pantry?

Possible Answers:

\(\displaystyle 23\)

\(\displaystyle 49\)

\(\displaystyle 51\)

\(\displaystyle 14\)

Correct answer:

\(\displaystyle 51\)

Explanation:

In order to have an equal number of cereal, chips, and cookies, the number of total items needs to be a number that is divisble by three. Of the four answer choices, \(\displaystyle 51\) is the only number that is a multiple of three.

\(\displaystyle 51\div3=17\)

Therefore, \(\displaystyle 51\) is the correct answer choice.

Example Question #2 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

Alex types \(\displaystyle 90\) words per minute. How many words does she type per second?

Possible Answers:

\(\displaystyle 9.0\)

\(\displaystyle 0.9\)

\(\displaystyle 360\)

\(\displaystyle 1.5\)

Correct answer:

\(\displaystyle 1.5\)

Explanation:

Since there are sixty seconds in a minute, divide the number of words Alex types per minute by sixty to see how many she types per second.

\(\displaystyle 90\div60=1.5\)

Alex types \(\displaystyle 1.5\) words per second.

Example Question #2 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

If \(\displaystyle x\) can be divided by both \(\displaystyle 7\) and \(\displaystyle 9\), it can also be divided by which number without leaving a remainder?

Possible Answers:

\(\displaystyle 14\)

\(\displaystyle 42\)

\(\displaystyle 27\)

\(\displaystyle 63\)

Correct answer:

\(\displaystyle 63\)

Explanation:

Of the four answer choices given, \(\displaystyle 63\) is the only choice that has both \(\displaystyle 7\) and \(\displaystyle 9\) as factors. Therefore, any number that is a multiple of \(\displaystyle 63\), for example, \(\displaystyle 126\) or \(\displaystyle 252\), is also divisible by both \(\displaystyle 7\) and \(\displaystyle 9\).

Example Question #3 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

Maxine has \(\displaystyle \small 35\) graham crackes that she would like to share equally amoung \(\displaystyle \small 5\) friends.  Which expression shows how many graham crackers each friend will recieve?

Possible Answers:

\(\displaystyle \small 7\cdot 5\)

\(\displaystyle \small 35\div 5\)

\(\displaystyle \small 35+5\)

\(\displaystyle \small 35-5\)

\(\displaystyle \small 35\times 5\)

Correct answer:

\(\displaystyle \small 35\div 5\)

Explanation:

Since Maxine has 35 graham crackers that she is going to split equaly amoung 5 friends, she must divide.

\(\displaystyle \small 35\div 5 = 7\)

Example Question #3 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

One British pound is worth approximately $1.61. For how many British pounds (nearest whole) can a tourist expect to exchange $1,000? 

Possible Answers:

The correct answer is not among the other choices.

\(\displaystyle 621\)

\(\displaystyle 62\)

\(\displaystyle 1,610\)

\(\displaystyle 161\)

Correct answer:

\(\displaystyle 621\)

Explanation:

$1,000 is equivalent to 

\(\displaystyle \$1,000 \div \$1.61 \textrm{ per pound} \approx 621\textrm{ pounds}\)

Example Question #3 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

Which of the following is NOT true about the number 18?

Possible Answers:

It is divisble by 3. 

It is divisble by 6. 

It is divisible by 18. 

It is divisible by 12. 

Correct answer:

It is divisible by 12. 

Explanation:

While the number 18 is divisible by 3, 6, and 18, it is not divisible by 12. 

Dividing 18 by 12 results in a remainder of 6. 

Therefore, the statement that is not true about the number 18 (and is hence the correct answer choice) is "It is divisible by 12."

Example Question #4 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

Which of the following is a factor of 24?

Possible Answers:

\(\displaystyle 6\)

\(\displaystyle 18\)

\(\displaystyle 7\)

\(\displaystyle 5\)

Correct answer:

\(\displaystyle 6\)

Explanation:

A factor of a number is one that can be evenly divided into it. Given that 6 can be evenly divided in 24 (24 divided by 6 is 4), 6 is the correct answer. 

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