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ISEE Upper Level Math : ISEE Upper Level (grades 9-12) Mathematics Achievement

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

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All ISEE Upper Level Math Resources

6 Diagnostic Tests 244 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #3 : How To Find The Least Common Multiple

$\frac{3}{5} + \frac{4}{7} - \frac{1}{3}=$

Possible Answers:

158/105

2/3

88/105

123/105

1/5

Correct answer:

88/105

Explanation:

This equation should be solved from left to right, finding the least common denominator for each pair. First we find the least common denominator of 3/5 and 4/7 , which is . The fractions then become 21/35 and 20/35 . 1/3 is then subtracted from that sum:

3/5 + 4/7 - 1/3=21/35+20/35-1/3=63/105+60/105-35/105=88/105

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Example Question #4 : How To Find The Least Common Multiple

What is the least common multiple of and ?

Possible Answers:

Correct answer:

Explanation:

Find all of the factors of both 9 and 6:

$9=3\times3$

$6=2\times3$

Eliminate all factors that 9 and 6 have in common, in this instance 3 (only eliminate the repeated instance). Multiply all factors that are not in common:

$LCM=3\times2\times3=18$

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Example Question #481 : Isee Upper Level (Grades 9 12) Mathematics Achievement

Which of the following values of makes this statement true?

LCM (N,15) = N

Possible Answers:

N = 375

N = 950

N = 655

N = 425

N = 250

Correct answer:

N = 375

Explanation:

For LCM (N,15) = N to be a true statement, must be a multiple of 15.

$250 \div 15 = 16 \textrm{ R }10$

$375 \div 15= 25$

$425 \div 15 = 28 \textrm{ R }5$

$655 \div 15 = 43 \textrm{ R }10$

$950 \div 15 = 63 \textrm{ R } 5$

Only 375 yields no remainder when divided by 15.

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Example Question #481 : Isee Upper Level (Grades 9 12) Mathematics Achievement

Which of the following values of makes this statement true?

LCM (N,20) = N

Possible Answers:

N=160

N=440

N=320

N=720

All answer choices are correct.

Correct answer:

All answer choices are correct.

Explanation:

For LCM (N,20) = N to be a true statement, must be a multiple of . Each of the four values given is divisible by , as seen below:

$160 \div 20 = 8$

$320 \div 20= 16$

$440 \div 20 = 22$

$720 \div 20= 36$

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Example Question #482 : Isee Upper Level (Grades 9 12) Mathematics Achievement

Which of the following values of makes this statement false?

LCM (N,20) = 20

Possible Answers:

N = 5

N = 8

N = 4

N = 2

N = 10

Correct answer:

N = 8

Explanation:

For LCM (N,20) = 20 to be true, must be a factor of . Of the five choices, all are factors of except for . This is the correct choice.

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Example Question #483 : Isee Upper Level (Grades 9 12) Mathematics Achievement

What is the least common multiple of 15 and 18?

Possible Answers:

270

Correct answer:

Explanation:

To find the least common multiple, you need to determine the multiple that both numbers share that is of the least value. List the multiples of each number and identify the first number (least value) that is in both lists:

15: 15, 30, 45, 60, 75, 90

18: 18, 36, 54, 72, 90

The LCM of 15 and 18 is 90 since it is the first number that shows up in both lists.

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Example Question #9 : How To Find The Least Common Multiple

What is the least common multiple of 4, 12, and 16?

Possible Answers:

768

Correct answer:

Explanation:

To find the least common multiple, you need to determine the multiple that all three numbers share that is of the least value. List the multiples of each number and identify the first number (least value) that is in both lists:

4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48

12: 12, 24, 36, 48

16: 16, 32, 48

The LCM of 4, 12, and 16 is 48 since it is the first number that shows up in all three lists.

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Example Question #483 : Isee Upper Level (Grades 9 12) Mathematics Achievement

What is the least common multiple of and ?

Possible Answers:

Correct answer:

Explanation:

Find all of the multiples of both numbers:

6: 6,12,18,24,30,36,42,48,54,60

4:4,8,12,16,20,24,28,32,36,40

Find the first number that both sets have in common.

LCM=12

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Example Question #485 : Isee Upper Level (Grades 9 12) Mathematics Achievement

Find the LCM of 12xy and 48x.

Possible Answers:

x^2y

48xy

96xy

144xy

48x^2y

Correct answer:

48xy

Explanation:

LCM is the least common multiple of the pair. There are a couple of terms at play here, so first find the LCM of 12 and 48. Since 12 goes into 48, 48 is the LCM. Then, look at xy and x. XY is the LCM between those two. So, multiply those together to get 48xy as your answer.

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Example Question #484 : Isee Upper Level (Grades 9 12) Mathematics Achievement

What is the least common multiple of and ?

Possible Answers:

Correct answer:

Explanation:

A multiple of x is a number that results when x is multiplied by another whole number.

The least common multiple of two numbers is the smallest number that is a multiple of both the numbers.

24 is a multiple of 8 because 8 times 3 is 24.

24 is also a multiple of 12 because 12 times 2 is 24.

There are no numbers that are smaller than 24 which are also multiples of 8 and 12. Therefore, 24 is the least common multiple.

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All ISEE Upper Level Math Resources

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ISEE Upper Level Math : ISEE Upper Level (grades 9-12) Mathematics Achievement

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

All ISEE Upper Level Math Resources

Example Questions

Example Question #3 : How To Find The Least Common Multiple

Example Question #4 : How To Find The Least Common Multiple

Example Question #481 : Isee Upper Level (Grades 9 12) Mathematics Achievement

Example Question #481 : Isee Upper Level (Grades 9 12) Mathematics Achievement

Example Question #482 : Isee Upper Level (Grades 9 12) Mathematics Achievement

Example Question #483 : Isee Upper Level (Grades 9 12) Mathematics Achievement

Example Question #9 : How To Find The Least Common Multiple

Example Question #483 : Isee Upper Level (Grades 9 12) Mathematics Achievement

Example Question #485 : Isee Upper Level (Grades 9 12) Mathematics Achievement

Example Question #484 : Isee Upper Level (Grades 9 12) Mathematics Achievement

All ISEE Upper Level Math Resources

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