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SSAT Middle Level Math : Numbers and Operations

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Example Questions

Example Question #1 : Whole And Part

Captain Hook, Captain Jack, and Captain James each had the same number of shipmates. Given the information below, which of the following could be the number of shipmates each captain had?

Captain Hook put his shipmates into groups of with none left over.

Captain Jack put his shipmates into groups of with none left over.

Captain James put his shipmates into groups of with none left over.

Possible Answers:

Correct answer:

Explanation:

For this question we look at the multiples of each group and find the smallest factor that is common to all three groups.

Captain Hook: $9, 18, 27, \bold{36}, 45, 54$

Captain Jack: $6, 12, 18, 24, 30, \bold{36}$

Captain James: $4, 8, 12, 16, 20, 24, 28, 32, \bold{36}$

Therefore, the smallest number that is divisible by 9, 6, and is .

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Example Question #201 : Numbers And Operations

Luke bought $\frac{2}{3}$ of a pound of cake for $\$6.00$ . What was the price per pound?

Possible Answers:

$\$9.00$

$\$4.00$

$\$9.50$

$\$6.00$

$\$5.00$

Correct answer:

$\$9.00$

Explanation:

If is the price per pound, then the formula for this equation is $\frac{2}{3}x=6$

Isolate by multiplying the inverse of $\frac{2}{3}$ , which is $\frac{3}{2}$ , to both sides.

$\frac{2}{3}x\bigg(\frac{3}{2}\bigg)=6\bigg(\frac{3}{2}\bigg)$

x=9

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Example Question #202 : Numbers And Operations

Mark bought $\frac{1}{8}$ of an acre for $\$20,000$ . What was the price for the whole acre?

Possible Answers:

$\$160,000$

$\$820,000$

$\$80,000$

$\$5,000$

$\$140,000$

Correct answer:

$\$160,000$

Explanation:

If is the price per acre, then the formula for this equation is $\frac{1}{8}x=20,000$

Isolate by multiplying the inverse of $\frac{1}{8}$ , which is $\frac{8}{1}$ , to both sides.

$\frac{1}{8}x\bigg(\frac{8}{1}\bigg)=20,000\bigg(\frac{8}{1}\bigg)$

x=160,000

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Example Question #5 : How To Find The Whole From The Part

400 is two-thirds of what number?

Possible Answers:

423

600

1200

800

300

Correct answer:

600

Explanation:

If be the number desired. The question can be rewritten as the multiplication statement:

$\frac{2}{3}N=400$

Solve:

$\bigg(\frac{3}{2}\bigg)\frac{2}{3}N=\bigg(\frac{3}{2}\bigg)400$

$N=\frac{1200}{2}=600$

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Example Question #861 : Ssat Middle Level Quantitative (Math)

Mark is baking cupcakes. He has to bake cupcakes and has pounds of cake batter to make them. After he bakes cupcakes, how many pounds of cake batter does he have left?

Possible Answers:

Correct answer:

Explanation:

If Mark bakes cupcakes, that means he has used one-eighth of the cake batter because:

$\frac{9}{72}=\frac{1}{8}$ .

Now we need to find out how much one-eighth of is:

$\frac{1}{8}\cdot8=1$

From here we will find the difference between the amount of cake batter Mark started with and the amount he used for the cupcakes to find how many pounds of batter is left.

Therefore,

8-1=7

This would leave 7 pounds of cake batter remaining.

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Example Question #12 : Whole And Part

On Monday Beth created drawing. On Tuesday she created drawings. On Wednesday she created twice has many drawings as on Monday and Tuesday combined. She did not draw the rest of the week. How many drawings total did she create for the week?

Possible Answers:

drawings

Correct answer:

drawings

Explanation:

To calculate Beth's total drawings, we should add up the days:

Monday: drawing

Tuesday: drawings

Wednesday: , which is the total of Monday's drawings plus Tuesday's drawings, times . (Given that plus is equal to , and that times is , there were a total of drawings on Wednesday.)

The sum of plus plus is , which is therefore the correct answer.

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Example Question #861 : Ssat Middle Level Quantitative (Math)

There is a bag of marbles and the three colors are red, blue, and green. If the green marbles equal times the amount of blue and blue is times the amount of red, what is the total amount of marbles when there are red marbles?

Possible Answers:

Correct answer:

Explanation:

Since there are times as many blue marbles as there are red, you must multiple the red marbles by (3*3=9) , Then you take the blue marbles and multiply by since there are times the green marbles as blue (9*4=36) . Then you add them all together to get 3+9+36=48 .

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Example Question #861 : Ssat Middle Level Quantitative (Math)

What is 2.37 in expanded form?

Possible Answers:

$2\times1+3\times\left(\frac{1}{100}\right)+7\times\left(\frac{1}{1000}\right)$

$2\times1+3\times\left(\frac{1}{10}\right)+7\times\left(\frac{1}{10}\right)$

$2\times1+3\times\left(\frac{1}{100}\right)+7\times\left(\frac{1}{100}\right)$

$2\times1+3\times\left(\frac{1}{10}\right)+7\times\left(\frac{1}{100}\right)$

$2\times1+3\times\left(\frac{1}{10}\right)+7\times\left(\frac{1}{1000}\right)$

Correct answer:

$2\times1+3\times\left(\frac{1}{10}\right)+7\times\left(\frac{1}{100}\right)$

Explanation:

When we write a number in expanded form, we multiply each digit by its place value.

is in the ones place, so we multiply by .

$2\times1=2$

is in the tenths place, so we multiply by $\frac{1}{10}$ .

$3\times\frac{1}{10}=.3$

is in the hundredths place, so we multiply by $\frac{1}{100}$ .

$7\times\frac{1}{100}=.07$

Then we add the products together to check our answer:

$\frac{\begin{array}[b]{r}2.00\\ +\ .30\\ .07 \end{array}}{ \ \ \space2.37}$

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Example Question #1 : Read And Write Decimals To Thousandths Using Base Ten Numerals, Number Names, And Expanded Form: Ccss.Math.Content.5.Nbt.A.3a

What is 9.25 in expanded form?

Possible Answers:

$9\times1+2\times\left(\frac{1}{10}\right)+5\times\left(\frac{1}{100}\right)$

$9\times1+2\times\left(\frac{1}{100}\right)+5\times\left(\frac{1}{1000}\right)$

$9\times1+2\times\left(\frac{1}{100}\right)+5\times\left(\frac{1}{100}\right)$

$9\times1+2\times\left(\frac{1}{10}\right)+5\times\left(\frac{1}{1000}\right)$

$9\times1+2\times\left(\frac{1}{10}\right)+5\times\left(\frac{1}{10}\right)$

Correct answer:

$9\times1+2\times\left(\frac{1}{10}\right)+5\times\left(\frac{1}{100}\right)$

Explanation:

When we write a number in expanded form, we multiply each digit by its place value.

is in the ones place, so we multiply by .

$9\times1=9$

is in the tenths place, so we multiply by $\frac{1}{10}$ .

$2\times\frac{1}{10}=.2$

is in the hundredths place, so we multiply by $\frac{1}{100}$ .

$5\times\frac{1}{100}=.05$

Then we add the products together.

$\frac{\begin{array}[b]{r}9.00\\ +\ .20\\ .05 \end{array}}{ \ \ \space9.25}$

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Example Question #1 : Read And Write Decimals To Thousandths Using Base Ten Numerals, Number Names, And Expanded Form: Ccss.Math.Content.5.Nbt.A.3a

What is 3.92 in expanded form?

Possible Answers:

$3\times1+9\times\left(\frac{1}{100}\right)+2\times\left(\frac{1}{100}\right)$

$3\times1+9\times\left(\frac{1}{10}\right)+2\times\left(\frac{1}{10}\right)$

$3\times1+9\times\left(\frac{1}{100}\right)+2\times\left(\frac{1}{1000}\right)$

$3\times1+9\times\left(\frac{1}{10}\right)+2\times\left(\frac{1}{1000}\right)$

$3\times1+9\times\left(\frac{1}{10}\right)+2\times\left(\frac{1}{100}\right)$

Correct answer:

$3\times1+9\times\left(\frac{1}{10}\right)+2\times\left(\frac{1}{100}\right)$

Explanation:

When we write a number in expanded form, we multiply each digit by its place value.

is in the ones place, so we multiply by .

$3\times1=3$

is in the tenths place, so we multiply by $\frac{1}{10}$ .

$9\times\frac{1}{10}=.9$

is in the hundredths place, so we multiply by $\frac{1}{100}$ .

$2\times\frac{1}{100}=.02$

Then we add the products together.

$\frac{\begin{array}[b]{r}3.00\\ +\ .90\\ .02 \end{array}}{ \ \ \space3.92}$

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SSAT Middle Level Math : Numbers and Operations

Study concepts, example questions & explanations for SSAT Middle Level Math

All SSAT Middle Level Math Resources

Example Questions

Example Question #1 : Whole And Part

Example Question #201 : Numbers And Operations

Example Question #202 : Numbers And Operations

Example Question #5 : How To Find The Whole From The Part

Example Question #861 : Ssat Middle Level Quantitative (Math)

Example Question #12 : Whole And Part

Example Question #861 : Ssat Middle Level Quantitative (Math)

Example Question #861 : Ssat Middle Level Quantitative (Math)

Example Question #1 : Read And Write Decimals To Thousandths Using Base Ten Numerals, Number Names, And Expanded Form: Ccss.Math.Content.5.Nbt.A.3a

Example Question #1 : Read And Write Decimals To Thousandths Using Base Ten Numerals, Number Names, And Expanded Form: Ccss.Math.Content.5.Nbt.A.3a

All SSAT Middle Level Math Resources

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