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 #1771 : Numbers And Operations

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 #14 : Number & Operations: €”Fractions

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

1 5

Possible Answers:

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

2 4

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

1 2

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

2 10

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 #21 : How To Make Fractions Equivalent

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

2 5

Possible Answers:

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

1 6

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

4 10

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

2 3

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 #16 : Number & Operations: €”Fractions

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

1 2

Possible Answers:

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

1 5

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

6 12

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

1 3

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 #11 : 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  \(\displaystyle \frac{5}{10}\)

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

Example Question #12 : Number & Operations: €”Fractions

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

1 2

Possible Answers:

\(\displaystyle \frac{4}{8}\)

4 8

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

1 6

\(\displaystyle \frac{2}{12}\)

2 12

Correct answer:

\(\displaystyle \frac{4}{8}\)

4 8

Explanation:

\(\displaystyle \frac{1}{2}=\frac{4}{8}\) 

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

 

4 8

Also, notice that \(\displaystyle \frac{1}{2}\) was quadrupled to get to \(\displaystyle \frac{4}{8}\)

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

Example Question #31 : How To Make Fractions Equivalent

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

1 2

Possible Answers:

\(\displaystyle \frac{2}{5}\)

2 5

\(\displaystyle \frac{8}{12}\)

8 12

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

3 6

Correct answer:

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

3 6

Explanation:

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

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 2

3 6

 

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

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

Example Question #141 : Fractions

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

1 2

Possible Answers:

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


2 10

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


1 3

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

2 4

Correct answer:

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

2 4

Explanation:

\(\displaystyle \frac{1}{2}=\frac{2}{4}\) 

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

2 4

Also, notice that \(\displaystyle \frac{1}{2}\) was doubled to get to \(\displaystyle \frac{2}{4}\)

\(\displaystyle \frac{1}{2}\times\frac{2}{2}=\frac{2}{4}\)

Example Question #21 : Explain Equivalent Fractions With Fraction Models: Ccss.Math.Content.4.Nf.A.1

Select the fraction that is equivalent to \(\displaystyle \frac{1}{6}\)


1 6

Possible Answers:

\(\displaystyle \frac{2}{12}\)

2 12

\(\displaystyle \frac{4}{8}\)

4 8

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

2 3

Correct answer:

\(\displaystyle \frac{2}{12}\)

2 12

Explanation:

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

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 6

2 12

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

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

Example Question #142 : Fractions

Select the fraction that is equivalent to \(\displaystyle \frac{2}{3}\)

2 3

Possible Answers:

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

1 2

\(\displaystyle \frac{1}{5}\)

1 5

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

4 6

Correct answer:

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

4 6

Explanation:

\(\displaystyle \frac{2}{3}=\frac{4}{6}\) 

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

2 3

4 6

Also, notice that \(\displaystyle \frac{2}{3}\) was doubled to get  \(\displaystyle \frac{4}{6}\)

\(\displaystyle \frac{2}{3}\times\frac{2}{2}=\frac{4}{6}\)

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