How to multiply - ISEE Lower Level Quantitative Reasoning

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Question

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?

Answer

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.

$\dpi{100} 34\times 20=680\ cookies$

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Question

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

Answer

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

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

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

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Question

$\frac{2}{3} \times \frac{4}{5} = ?$

Answer

$\frac{2}{3} \times \frac{4}{5} = ?$

To multiply fractions, we multiply the numerators together first.

$2\times4=8$

Then, we multiply the denominators together.

$3\times5=15$ .

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

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Question

$\frac{6}{7}\times \frac{2}{5} =$

Answer

To get the answer, you multiply the numerators

$6\times 2=12$

and then the denominators

$7\times 5=35$

to get $\frac{12}{35}$

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Question

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

Answer

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.

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Question

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

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

Answer

$\frac{1}{3} \times 3 = \frac{3}{3} = 1$

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Question

Maggie is making cookies for her friends. The recipe calls for $\frac{1}{3}$ 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?

Answer

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

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Question

Find the product.

$-7\times -11$

Answer

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

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Question

$5\times2\times4\times3$ is equal to the product of and what number?

Answer

$5\times2\times4\times3$

Therefore, one needs to find the number that can be multiplied by to yield

The best way to do this is to divide by .

$120\div12=10$

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Question

Mary wins a bag of 80 marbles. She already has 30 marbles, and her sister Millie has 54 marbles. Mary wants to give Millie enough marbles so that they will have the same number. What fraction of Mary's prize will she give Millie?

Answer

After Mary wins 80 marbles, the girls have a total of marbles; Millie will have half of them, or $164 \div 2 = 82$ . This means that out of the 80 Mary wins, she will give Millie .

28 marbles out of 80 can be written as a simplified fraction:

$\frac{28}{80} = \frac{28 \div 4}{80 \div 4} = \frac{7}{20}$

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Question

Multiply in modulo 8:

$7 \times 5 \times 3 \times 3$

Answer

The product of two or more numbers in modulo 8 arithmetic is the remainder of the product when it is divided by 8. Since

$7 \times 5 \times 3 \times 3= 315$

and

$315 \div 8 = 39\textrm{ R }3$

then

$7 \times 5 \times 3 \times 3 \equiv 3 \mod 8$ .

The correct response is 3.

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Question

Define $\overbrace{n} = n^{2} - 7$ .

Evaluate $\overbrace{57}$ .

Answer

$\overbrace{57} = 57^{2} - 7 = 3,249 - 7 = 3,242$

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Question

If W is an odd number, which of the following could be an even number?

Answer

The easiest way to solve this problem is to select an odd number for W, such as 3.

2W would be equal to 6, which is even and the correct answer.

3W is 9 and odd.

is 5, which is also odd.

is 1, which is also odd.

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Question

How many inches are in 3 and a half feet?

Answer

Given that there are 12 inches in a foot, the number of inches in 3 and a half feet will be equal to $12\cdot3.5=42.$ Therefore, 42 is the correct answer.

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Question

A market sells bananas by the bunch. If each bunch contains 6 bananas, how many bananas does the market sell if it sells 7 bunches?

Answer

If each bunch contains 6 bananas, then the number of bananas in 7 bunches will be equal to $6\cdot7=42$ . Therefore, 42 is the correct answer.

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Question

At a restaurant, there are 5 pancakes in the pancake house special and 3 pancakes in the short stack. A family eats at the restaurant and order 2 house specials and 2 short stacks. How many pancakes does the family get?

Answer

Given that there are 5 pancakes in the pancake house special and 3 pancakes in the short stack, the number of pancakes in 2 house specials and 2 short stacks is represented by the following expression:

$5\cdot2+3\cdot2$

Therefore, the correct answer is 16.

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Question

A florist sells bunches of flowers. Each bunch contains 4 roses and 3 tulips. How many flowers does she sell if she sells 5 bunches?

Answer

If a florist sells bunches of flowers and each bunch contains 4 roses and 3 tulips, then the number of flowers in 5 bunches would be represented by the expression below:

$5\cdot7$

Therefore, 35 is the correct answer.

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Question

What is four times the sum of a and b?

Answer

The sum of a and b should be expressed as . Therefore, four times the sum of a and b is equal to .

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Question

What is the product of -6 and -11?

Answer

The product of two negative numbers is a positive number. Given that 6 times 11 is 66, it follows that $-6\cdot-11=66$ .

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Question

What is $\frac{1}{4}\cdot \frac{1}{2}?$ ?

Answer

When two fractions are multiplied by each other, the numerators are multiplied by one another, and then the denominators are multiplied by one another. Given that 1 times 1 is 1, and that 4 times 2 is 8, the product of $\frac{1}{2}$ and $\frac{1}{4}$ is $\frac{1}{8}$ .

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