ISEE Lower Level Quantitative : ISEE Lower Level (grades 5-6) Quantitative Reasoning

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

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Example Questions

Example Question #2731 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

Which of the following is the product of two distinct prime numbers?

Possible Answers:

\displaystyle 30

\displaystyle 50

\displaystyle 64

\displaystyle 34

Correct answer:

\displaystyle 34

Explanation:

There are two key terms in this question that we need to understand in order to answer the question correctly: product and prime numbers.

Product is the answer to a multiplication problem.

Prime numbers are numbers that are greater than and only have factors of the number and itself. For example is a prime number because it's greater than and the factors of are only and .

To find the correct answer, we need to know the factor pairs for our answer choices. The correct answer will have a factor pair of two prime numbers.

Let's look at our answer options:

- A factor pair for  is , and \displaystyle 6 is not a prime number.

\displaystyle 50- A factor pair for \displaystyle 50 is \displaystyle 5\times10. Though \displaystyle 5 is a prime number, \displaystyle 10 is not.

\displaystyle 64- A factor pair for \displaystyle 64 is \displaystyle 8\times8, and \displaystyle 8 is not a prime number.

\displaystyle 34- A factor pair for \displaystyle 34 is \displaystyle 2\times17. Both and \displaystyle 17 are prime numbers, thus \displaystyle 34 is our correct answer.

Example Question #2732 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

Which of the following is the product of two distinct prime numbers?

Possible Answers:

\displaystyle 57

\displaystyle 36

\displaystyle 16

\displaystyle 12

Correct answer:

\displaystyle 57

Explanation:

There are two key terms in this question that we need to understand in order to answer the question correctly: product and prime numbers.

Product is the answer to a multiplication problem.

Prime numbers are numbers that are greater than and only have factors of the number and itself. For example is a prime number because it's greater than and the factors of are only and .

To find the correct answer, we need to know the factor pairs for our answer choices. The correct answer will have a factor pair of two prime numbers.

Let's look at our answer options:

- A factor pair for  is , and  is not a prime number.

- A factor pair for  is , and  is not a prime number.

- A factor pair for  is , and  is not a prime number.

\displaystyle 57- A factor pair for \displaystyle 57 is \displaystyle 3\times19. Both \displaystyle 19 and are prime numbers, thus \displaystyle 57 is our correct answer.

 

Example Question #1681 : Numbers And Operations

Which of the following is the product of two distinct prime numbers?

 

Possible Answers:

\displaystyle 44

\displaystyle 22

\displaystyle 66

\displaystyle 88

Correct answer:

\displaystyle 22

Explanation:

There are two key terms in this question that we need to understand in order to answer the question correctly: product and prime numbers.

Product is the answer to a multiplication problem.

Prime numbers are numbers that are greater than and only have factors of the number and itself. For example is a prime number because it's greater than and the factors of are only and .

To find the correct answer, we need to know the factor pairs for our answer choices. The correct answer will have a factor pair of two prime numbers.

Let's look at our answer options:

- A factor pair for  is , and  is not a prime number.

\displaystyle 66- A factor pair for \displaystyle 66 is \displaystyle 6\times 11, and \displaystyle 6 is not a prime number.  

\displaystyle 88- A factor pair for \displaystyle 88 is \displaystyle 8\times11, and \displaystyle 8 is not a prime number.

\displaystyle 22- A factor pair for \displaystyle 22 is \displaystyle 2\times 11. Both and \displaystyle 11 are prime numbers, thus \displaystyle 22 is our correct answer.

 

Example Question #11 : How To Order Fractions From Least To Greatest Or From Greatest To Least

Select the symbol to correctly fill in the blank below. 

\displaystyle \frac{1}{2} __________\displaystyle \frac{1}{8}

Possible Answers:

\displaystyle =

\displaystyle >

\displaystyle <

Correct answer:

\displaystyle >

Explanation:

To compare fractions, we need to first make common denominators. 

\displaystyle \frac{1}{2}\times\frac{4}{4}=\frac{4}{8}

Now that we have common denominators, we can compare numerators. The fraction with the bigger numerator has the greater value. 

\displaystyle \frac{4}{8}>\frac{1}{8}

Example Question #1 : Compare Two Fractions With Different Numerators And Different Denominators: Ccss.Math.Content.4.Nf.A.2

Select the symbol to correctly fill in the blank below. 

\displaystyle \frac{3}{4} __________\displaystyle \frac{7}{8}

Possible Answers:

\displaystyle >

\displaystyle <

\displaystyle =

Correct answer:

\displaystyle <

Explanation:

To compare fractions, we need to first make common denominators. 

\displaystyle \frac{3}{4}\times\frac{2}{2}=\frac{6}{8}

Now that we have common denominators, we can compare numerators. The fraction with the bigger numerator has the greater value. 

\displaystyle \frac{6}{8}< \frac{7}{8}

Example Question #2 : Compare Two Fractions With Different Numerators And Different Denominators: Ccss.Math.Content.4.Nf.A.2

Select the symbol to correctly fill in the blank below. 

\displaystyle \frac{1}{2} __________\displaystyle \frac{6}{12}

Possible Answers:

\displaystyle =

\displaystyle >

\displaystyle <

Correct answer:

\displaystyle =

Explanation:

To compare fractions, we need to first make common denominators. 

\displaystyle \frac{1}{2}\times\frac{6}{6}=\frac{6}{12}

Now that we have common denominators, we can compare numerators. The fraction with the bigger numerator has the greater value. 

\displaystyle \frac{6}{12}=\frac{6}{12}

Example Question #4 : How To Compare Fractions

Select the symbol to correctly fill in the blank below. 

\displaystyle \frac{5}{7} __________\displaystyle \frac{1}{3}

Possible Answers:

\displaystyle =

\displaystyle <

\displaystyle >

Correct answer:

\displaystyle >

Explanation:

To compare fractions, we need to first make common denominators. 

\displaystyle \frac{5}{7}\times\frac{3}{3}=\frac{15}{21}

\displaystyle \frac{1}{3}\times\frac{7}{7}=\frac{7}{21}

Now that we have common denominators, we can compare numerators. The fraction with the bigger numerator has the greater value. 

\displaystyle \frac{15}{21}>\frac{7}{21}

Example Question #1 : How To Compare Fractions

Select the symbol to correctly fill in the blank below. 

\displaystyle \frac{2}{3}__________\displaystyle \frac{4}{5}

Possible Answers:

\displaystyle >

\displaystyle <

\displaystyle =

Correct answer:

\displaystyle <

Explanation:

To compare fractions, we need to first make common denominators. 

\displaystyle \frac{2}{3}\times\frac{5}{5}=\frac{10}{15}

\displaystyle \frac{4}{5}\times\frac{3}{3}=\frac{12}{15}

Now that we have common denominators, we can compare numerators. The fraction with the bigger numerator has the greater value. 

\displaystyle \frac{10}{15}< \frac{12}{15}

Example Question #2 : How To Compare Fractions

Select the symbol to correctly fill in the blank below. 

\displaystyle \frac{5}{10} __________\displaystyle \frac{1}{2}

Possible Answers:

\displaystyle <

\displaystyle >

\displaystyle =

Correct answer:

\displaystyle =

Explanation:

To compare fractions, we need to first make common denominators. 

\displaystyle \frac{1}{2}\times\frac{5}{5}=\frac{5}{10}

Now that we have common denominators, we can compare numerators. The fraction with the bigger numerator has the greater value. 

\displaystyle \frac{5}{10}=\frac{5}{10}

Example Question #1461 : Ssat Upper Level Quantitative (Math)

Select the symbol to correctly fill in the blank below. 

\displaystyle \frac{7}{8} __________\displaystyle \frac{2}{5}

Possible Answers:

\displaystyle <

\displaystyle >

\displaystyle =

Correct answer:

\displaystyle >

Explanation:

To compare fractions, we need to first make common denominators. 

\displaystyle \frac{7}{8}\times\frac{5}{5}=\frac{35}{40}

\displaystyle \frac{2}{5}\times\frac{8}{8}=\frac{16}{40}

Now that we have common denominators, we can compare numerators. The fraction with the bigger numerator has the greater value. 

\displaystyle \frac{35}{40}>\frac{16}{40}

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