ISEE Lower Level Quantitative : How to multiply

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

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Example Questions

Example Question #101 : Numbers And Operations

The grocery store has 34 boxes of cookies on the shelf.  Each box contains 20 cookies.  Which expression shows how many total cookies are on the shelf?

Possible Answers:

\dpi{100} 34\times 20\(\displaystyle \dpi{100} 34\times 20\)

\dpi{100} 34+20\(\displaystyle \dpi{100} 34+20\)

\dpi{100} 34\div 20\(\displaystyle \dpi{100} 34\div 20\)

\dpi{100} 34-20\(\displaystyle \dpi{100} 34-20\)

Correct answer:

\dpi{100} 34\times 20\(\displaystyle \dpi{100} 34\times 20\)

Explanation:

There are 20 cookies in each box, and there are 34 boxes.  We need to multiply the number of cookies in each box by the number of boxes.

\dpi{100} 34\times 20=680\ cookies\(\displaystyle \dpi{100} 34\times 20=680\ cookies\)

Example Question #2 : How To Multiply

If Lisa has \dpi{100} b\(\displaystyle \dpi{100} b\) boxes of pens, and each box contains 12 pens, which expression would tell us how many pens that Lisa has?

Possible Answers:

\dpi{100} b\times 12\(\displaystyle \dpi{100} b\times 12\)

\dpi{100} b+12\(\displaystyle \dpi{100} b+12\)

\dpi{100} b-12\(\displaystyle \dpi{100} b-12\)

\dpi{100} b\div 12\(\displaystyle \dpi{100} b\div 12\)

Correct answer:

\dpi{100} b\times 12\(\displaystyle \dpi{100} b\times 12\)

Explanation:

Every box of pens represents 12 total pens.  So if we have 3 boxes, we have\dpi{100} \dpi{100} 12+12+12=36\ pens\(\displaystyle \dpi{100} \dpi{100} 12+12+12=36\ pens\)

which is the same as saying \dpi{100} 3\times 12=36\ pens\(\displaystyle \dpi{100} 3\times 12=36\ pens\).

Here, since we only know that Lisa has \dpi{100} b\(\displaystyle \dpi{100} b\) boxes of pens, so we would multiply that by the 12 pens in each box.

 

Example Question #3 : How To Multiply

\(\displaystyle \frac{2}{3} \times \frac{4}{5} = ?\)

Possible Answers:

\(\displaystyle \frac{8}{15}\)

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

\(\displaystyle \frac{6}{15}\)

\(\displaystyle \frac{6}{8}\)

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

Correct answer:

\(\displaystyle \frac{8}{15}\)

Explanation:

\(\displaystyle \frac{2}{3} \times \frac{4}{5} = ?\)

To multiply fractions, we multiply the numerators together first.

\(\displaystyle 2\times4=8\)

Then, we multiply the denominators together.

\(\displaystyle 3\times5=15\).

Then we divide the first answer (8) by the second answer (15) to get \(\displaystyle \frac{8}{15}\).  

Example Question #1 : How To Multiply

Find the product.

\(\displaystyle -7\times -11\)

Possible Answers:

\(\displaystyle 77\)

\(\displaystyle -18\)

\(\displaystyle -77\)

\(\displaystyle 18\)

Correct answer:

\(\displaystyle 77\)

Explanation:

When multiplying two negative numbers, the product will be positive. The correct answer is 77.

Example Question #5 : How To Multiply

\(\displaystyle \frac{6}{7}\times \frac{2}{5} =\)

Possible Answers:

\(\displaystyle \frac{35}{12}\)

\(\displaystyle \frac{12}{35}\)

\(\displaystyle \frac{12}{13}\)

\(\displaystyle \frac{14}{30}\)

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

Correct answer:

\(\displaystyle \frac{12}{35}\)

Explanation:

To get the answer, you multiply the numerators

\(\displaystyle 6\times 2=12\)

and then the denominators

\(\displaystyle 7\times 5=35\)

to get  \(\displaystyle \frac{12}{35}\)

Example Question #6 : How To Multiply

Sally Student has 12 boxes of pencils, with 10 pencils in each box. Which expression shows how many pencils she has total?

Possible Answers:

\(\displaystyle 12 - 10\)

\(\displaystyle 12 + 10\)

\(\displaystyle 10^{12}\)

\(\displaystyle 12 \times 10\)

\(\displaystyle 12^{10}\)

Correct answer:

\(\displaystyle 12 \times 10\)

Explanation:

In order to calculate how many pencils there are total, one must multiply the number of pencils in each box by the number of boxes.

Example Question #104 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

Maggie is making cookies for her friends. The recipe calls for \(\displaystyle \frac{1}{3}\) cup of sugar, and three times as much flour. 

How many total cups of sugar and flour will she need if she quadruples the recipe?

Possible Answers:

\(\displaystyle 4\frac{1}{3}\)

\(\displaystyle 3\)

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

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

\(\displaystyle 5\frac{1}{3}\)

Correct answer:

\(\displaystyle 5\frac{1}{3}\)

Explanation:

\(\displaystyle (\frac{1}{3} \times 4) + (1\times 4) = \frac{4}{3}\right) + 4 = 1\frac{1}{3} + 4 = 5\frac{1}{3}\)

Example Question #105 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

\(\displaystyle 5\times2\times4\times3\) is equal to the product of \(\displaystyle 12\) and what number?

Possible Answers:

\(\displaystyle 8\)

\(\displaystyle 6\)

\(\displaystyle 12\)

\(\displaystyle 10\)

Correct answer:

\(\displaystyle 10\)

Explanation:

\(\displaystyle 5\times2\times4\times3\)\(\displaystyle = 120\)

Therefore, one needs to find the number that can be multiplied by \(\displaystyle 12\) to yield \(\displaystyle 120.\) 

\(\displaystyle 12x=120\)

The best way to do this is to divide \(\displaystyle 120\) by \(\displaystyle 12\).

\(\displaystyle 120\div12=10\)

 

 

Example Question #102 : Numbers And Operations

Maggie is making cookies for her friends. The recipe calls for \(\displaystyle \frac{1}{3}\) cup of sugar, and three times as much flour. 

How many cups of flour does Maggie need for her recipe?

Possible Answers:

\(\displaystyle 1\ cup\)

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

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

\(\displaystyle \frac{1}{9}\ cup\)

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

Correct answer:

\(\displaystyle 1\ cup\)

Explanation:

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

Example Question #111 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

Define \(\displaystyle \overbrace{n} = n^{2} - 7\).

Evaluate \(\displaystyle \overbrace{57}\).

Possible Answers:

\(\displaystyle 8\)

\(\displaystyle 3,242\)

\(\displaystyle 3,256\)

\(\displaystyle 9\)

The expression is undefined.

Correct answer:

\(\displaystyle 3,242\)

Explanation:

\(\displaystyle \overbrace{57} = 57^{2} - 7 = 3,249 - 7 = 3,242\)

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