Percentage

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SSAT Middle Level Quantitative › Percentage

Questions 1 - 10

What percent (%) of 50 is 30?

60%

30%

166%

50%

40%

Explanation

The original number in this problem is 50 and you must find the percentage of 30 from 50.

Another way to view this problem is what percentage of the original 50 equals 30.

Let x equal the percentage:

50(x) = 30

50x = 30

$x=\frac{30}{50}= 0.6$

In order to change the decimal 0.6 to a percentage multiply by 100:

0.6 x 100 = 60%

The product of two whole numbers is 12. Their difference could be

Explanation

The first thing to do is to determine what two numbers multiply to give you 12.

1 and 12

2 and 6

3 and 4

Now find the difference between each of those pairs.

The difference could be 1, 4, or 11. Only 4 is an answer choice.

The product of two whole numbers is 12. Their difference could be

Explanation

The first thing to do is to determine what two numbers multiply to give you 12.

1 and 12

2 and 6

3 and 4

Now find the difference between each of those pairs.

The difference could be 1, 4, or 11. Only 4 is an answer choice.

What percent (%) of 50 is 30?

60%

30%

166%

50%

40%

Explanation

The original number in this problem is 50 and you must find the percentage of 30 from 50.

Another way to view this problem is what percentage of the original 50 equals 30.

Let x equal the percentage:

50(x) = 30

50x = 30

$x=\frac{30}{50}= 0.6$

In order to change the decimal 0.6 to a percentage multiply by 100:

0.6 x 100 = 60%

Exactly $\frac{1}{3}$ of the plants in a garden are tomato plants. Which of the following could be the total number of plants in the garden?

Explanation

The total number of plants has to be divisible by 3. Of the answer choices, the only one that is divisible by 3 is 18. You can check this because numbers that are divisible have the sum of their digits also divisible by 3. For example,

which is divisible by 3, so 18 is divisible by 3.

Exactly $\frac{1}{3}$ of the plants in a garden are tomato plants. Which of the following could be the total number of plants in the garden?

Explanation

which is divisible by 3, so 18 is divisible by 3.

What is of ?

Explanation

We can convert to $\frac{40}{100}$ or . We can then calculate $0.4\cdot 80=32$ .

What is 63% of 300 ?

Explanation

To find a percentage of a whole number, we will multiply the percentage by the whole number. So, we get

$63% \cdot 300$

$\frac{63}{100} \cdot 300$

$\frac{63}{100} \cdot \frac{300}{1}$

Now, the zeros can cancel out. So, we get

$\frac{63}{1} \cdot \frac{3}{1}$

$\frac{63 \cdot 3}{1 \cdot 1}$

$\frac{189}{1}$

Therefore, 63% of 300 is 189.

What is 63% of 300 ?

Explanation

To find a percentage of a whole number, we will multiply the percentage by the whole number. So, we get

$63% \cdot 300$

$\frac{63}{100} \cdot 300$

$\frac{63}{100} \cdot \frac{300}{1}$

Now, the zeros can cancel out. So, we get

$\frac{63}{1} \cdot \frac{3}{1}$

$\frac{63 \cdot 3}{1 \cdot 1}$

$\frac{189}{1}$

Therefore, 63% of 300 is 189.

What is of ?

Explanation

We can convert to $\frac{40}{100}$ or . We can then calculate $0.4\cdot 80=32$ .

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