SSAT Middle Level Math : SSAT Middle Level Quantitative (Math)

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

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Example Questions

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

Bernard is baking cookies. He has to bake 48 cookies and has 6 pounds of cookie dough to make them. After he bakes 8 cookies, how many pounds of cookie dough does he have left?

Possible Answers:

 pound

 pounds

 pounds

 pounds

 pounds

Correct answer:

 pounds

Explanation:

If Bernard bakes 8 cookies, that means he has used one-sixth of the cookie dough because 48 divided by 8 equals 6. Thus, 8 is one-sixth of 48. 

Therefore, he would have used one-sixth of the dough, or the equivalent of 1 pound. 

This would leave 5 pounds of dough remaining. 

Example Question #862 : Ssat Middle Level Quantitative (Math)

In a rectangle, each corner has a value in degrees of A (first corner), B (second corner), C (third corner), and D (fourth corner). 

What is the sum of corners A, B, and C?

Possible Answers:

Correct answer:

Explanation:

In a rectangle, each corner is equal to 90 degrees. All corners are of equal degrees. Thus, the sum of any three corners would equal the product of 90 and 3, which is 270. Therefore, the correct answer is 270 degrees. 

Example Question #4 : How To Find The Whole From The 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: 

Captain Jack: 

Captain James: 

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

 

Example Question #7 : How To Find The Whole From The Part

Luke bought  of a pound of cake for . What was the price per pound?

Possible Answers:

Correct answer:

Explanation:

If  is the price per pound, then the formula for this equation is 

Isolate  by multiplying the inverse of , which is , to both sides.

Example Question #863 : Ssat Middle Level Quantitative (Math)

Mark bought  of an acre for . What was the price for the whole acre?

Possible Answers:

Correct answer:

Explanation:

If  is the price per acre, then the formula for this equation is 

Isolate  by multiplying the inverse of , which is , to both sides.

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

 is two-thirds of what number?

Possible Answers:

Correct answer:

Explanation:

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

Solve:

Example Question #11 : Whole And Part

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:

.

 

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

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,

This would leave 7 pounds of cake batter remaining.

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

 drawings

 drawings

 drawings

 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.  

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  , Then you take the  blue marbles and multiply by  since there are  times the green marbles as blue . Then you add them all together to get .

Example Question #201 : Numbers And Operations

What is  in expanded form? 

 

Possible Answers:

Correct answer:

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 

 is in the tenths place, so we multiply by 

 is in the hundredths place, so we multiply by .

Then we add the products together to check our answer: 

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