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 #6 : Extend Understanding Of Fraction Equivalence And Ordering

Fill in the blank with the missing fraction. 

\(\displaystyle \frac{1}{3}\times\frac{?}{?}=\frac{4}{12}\)

 

Possible Answers:

\(\displaystyle \frac{4}{6}\)

\(\displaystyle \frac{4}{3}\)

\(\displaystyle \frac{3}{4}\)

\(\displaystyle \frac{2}{4}\)

\(\displaystyle \frac{4}{4}\)

Correct answer:

\(\displaystyle \frac{4}{4}\)

Explanation:

In this problem we are making equivalent fractions. In order to make equivalent fractions you have to multiply the numerator and the denominator by the same number. 

\(\displaystyle 1\times4=4\)

\(\displaystyle 3\times4=12\)

Example Question #7 : Extend Understanding Of Fraction Equivalence And Ordering

Fill in the blank with the missing fraction. 

\(\displaystyle \frac{3}{3}\times\frac{?}{?}=\frac{9}{9}\)

 

Possible Answers:

\(\displaystyle \frac{4}{4}\)

\(\displaystyle \frac{5}{5}\)

\(\displaystyle \frac{3}{3}\)

\(\displaystyle \frac{2}{2}\)

\(\displaystyle \frac{6}{6}\)

Correct answer:

\(\displaystyle \frac{3}{3}\)

Explanation:

In this problem we are making equivalent fractions. In order to make equivalent fractions you have to multiply the numerator and the denominator by the same number. 

\(\displaystyle 3\times3=9\)

\(\displaystyle 3\times3=9\)

Example Question #8 : Extend Understanding Of Fraction Equivalence And Ordering

Fill in the blank with the missing fraction. 

\(\displaystyle \frac{2}{10}\times\frac{?}{?}=\frac{12}{60}\)

 

Possible Answers:

\(\displaystyle \frac{3}{3}\)

\(\displaystyle \frac{5}{5}\)

\(\displaystyle \frac{4}{4}\)

\(\displaystyle \frac{2}{2}\)

\(\displaystyle \frac{6}{6}\)

Correct answer:

\(\displaystyle \frac{6}{6}\)

Explanation:

In this problem we are making equivalent fractions. In order to make equivalent fractions you have to multiply the numerator and the denominator by the same number. 

\(\displaystyle 2\times6=12\)

\(\displaystyle 10\times6=60\)

Example Question #11 : Explain Equivalent Fractions With Fraction Models: Ccss.Math.Content.4.Nf.A.1

Fill in the blank with the missing fraction. 

\(\displaystyle \frac{1}{4}\times\frac{?}{?}=\frac{4}{16}\)

 

Possible Answers:

\(\displaystyle \frac{2}{2}\)

\(\displaystyle \frac{6}{6}\)

\(\displaystyle \frac{4}{4}\)

\(\displaystyle \frac{5}{5}\)

\(\displaystyle \frac{3}{3}\)

Correct answer:

\(\displaystyle \frac{4}{4}\)

Explanation:

In this problem we are making equivalent fractions. In order to make equivalent fractions you have to multiply the numerator and the denominator by the same number. 

\(\displaystyle 1\times4=4\)

\(\displaystyle 4\times4=16\)

Example Question #12 : Explain Equivalent Fractions With Fraction Models: Ccss.Math.Content.4.Nf.A.1

Fill in the blank with the missing fraction. 

\(\displaystyle \frac{1}{10}\times\frac{?}{?}=\frac{3}{30}\)

 

Possible Answers:

\(\displaystyle \frac{1}{1}\)

\(\displaystyle \frac{2}{2}\)

\(\displaystyle \frac{5}{5}\)

\(\displaystyle \frac{4}{4}\)

\(\displaystyle \frac{3}{3}\)

Correct answer:

\(\displaystyle \frac{3}{3}\)

Explanation:

In this problem we are making equivalent fractions. In order to make equivalent fractions you have to multiply the numerator and the denominator by the same number. 

\(\displaystyle 1\times3=3\)

\(\displaystyle 10\times3=30\)

Example Question #2811 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

Select the fraction that is equivalent to \(\displaystyle \frac{1}{3}\)

1 3

 

Possible Answers:

\(\displaystyle \frac{1}{2}\)

1 2

\(\displaystyle \frac{2}{6}\)

2 6

\(\displaystyle \frac{3}{6}\)

3 6

Correct answer:

\(\displaystyle \frac{2}{6}\)

2 6

Explanation:

\(\displaystyle \frac{1}{3}=\frac{2}{6}\) 

Notice that when we line up our fraction models, which are the exact same size, the same portion of the rectangle is filled in. 

1 3

2 6

Also, notice that \(\displaystyle \frac{1}{3}\) was doubled to get  \(\displaystyle \frac{2}{6}\)

\(\displaystyle \frac{1}{3}\times\frac{2}{2}=\frac{2}{6}\)

Example Question #25 : How To Make Fractions Equivalent

Select the fraction that is equivalent to \(\displaystyle \frac{1}{5}\)

1 5

Possible Answers:

\(\displaystyle \frac{2}{4}\)

2 4

\(\displaystyle \frac{2}{10}\)

2 10

\(\displaystyle \frac{1}{2}\)

1 2

Correct answer:

\(\displaystyle \frac{2}{10}\)

2 10

Explanation:

\(\displaystyle \frac{1}{5}=\frac{2}{10}\) 

Notice that when we line up our fraction models, which are the exact same size, the same portion of the rectangle is filled in. 

1 5

 

2 10

Also, notice that \(\displaystyle \frac{1}{5}\) was doubled to get  \(\displaystyle \frac{2}{10}\)

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

Example Question #13 : Explain Equivalent Fractions With Fraction Models: Ccss.Math.Content.4.Nf.A.1

Select the fraction that is equivalent to \(\displaystyle \frac{2}{5}\)

2 5

Possible Answers:

\(\displaystyle \frac{2}{3}\)

2 3

\(\displaystyle \frac{1}{6}\)

1 6

\(\displaystyle \frac{4}{10}\)

4 10

Correct answer:

\(\displaystyle \frac{4}{10}\)

4 10

Explanation:

\(\displaystyle \frac{2}{5}=\frac{4}{10}\) 

Notice that when we line up our fraction models, which are the exact same size, the same portion of the rectangle is filled in. 

2 5

4 10

Also, notice that \(\displaystyle \frac{2}{5}\) was doubled to get \(\displaystyle \frac{4}{10}\)

\(\displaystyle \frac{2}{5}\times\frac{2}{2}=\frac{4}{10}\)

Example Question #14 : Number & Operations: €”Fractions

Select the fraction that is equivalent to \(\displaystyle \frac{1}{2}\)

1 2

Possible Answers:

\(\displaystyle \frac{1}{3}\)

1 3

\(\displaystyle \frac{6}{12}\)

6 12

\(\displaystyle \frac{1}{6}\)

1 5

Correct answer:

\(\displaystyle \frac{6}{12}\)

6 12

Explanation:

\(\displaystyle \frac{1}{2}=\frac{6}{12}\) 

Notice that when we line up our fraction models, which are the exact same size, the same portion of the rectangle is filled in. 

1 2

6 12

Also, notice that \(\displaystyle \frac{1}{2}\) was multiplied by \(\displaystyle \frac{6}{6}\) to get  \(\displaystyle \frac{6}{12}\)

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

Example Question #15 : Number & Operations: €”Fractions

Select the fraction that is equivalent to \(\displaystyle \frac{1}{2}\)

1 2

Possible Answers:

\(\displaystyle \frac{5}{10}\)

5 10

\(\displaystyle \frac{2}{10}\)

2 10

\(\displaystyle \frac{1}{3}\)

1 3

Correct answer:

\(\displaystyle \frac{5}{10}\)

5 10

Explanation:

\(\displaystyle \frac{1}{2}=\frac{5}{10}\) 

Notice that when we line up our fraction models, which are the exact same size, the same portion of the rectangle is filled in. 

1 2

5 10

Also, notice that \(\displaystyle \frac{1}{2}\) was multiplied by \(\displaystyle \frac{5}{5}\) to get  \(\displaystyle \frac{5}{10}\)

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

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