SSAT Middle Level Math : Numbers and Operations

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

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Example Questions

Example Question #191 : Ratio And Proportion

Melissa ran sprints for , and Megan ran sprints for . How many more minutes did Megan run than Jessica? 

Possible Answers:

Correct answer:

Explanation:

The first thing we need to do is put our seconds into minutes because our final answer is asking for minutes. We know that . We can set up a proportion and cross multiply to solve. 

Then we can divide to isolate the .

Now we need to subtract to find our difference. 

Example Question #192 : Ratio And Proportion

Megan studied for  everyday from Monday-Friday. How many total hours did she spend studying?

Possible Answers:

Correct answer:

Explanation:

The first thing we need to do is put our minutes into hours because our final answer is asking for hours. We know that . We can set up a proportion and cross multiply to solve. 

Then we can divide to isolate the .

Now we need to multiply  because Megan studied for  hours each day. 

Example Question #193 : Ratio And Proportion

How many  are in 

 

Possible Answers:

Correct answer:

Explanation:

To solve this problem we can make proportions.

We know that  and we can use  as our unknown. 

Next, we want to cross multiply and divide to isolate the  on one side. 

The  will cancel and we are left with 

Example Question #194 : Ratio And Proportion

How many  are in 

Possible Answers:

Correct answer:

Explanation:

To solve this problem we can make proportions.

We know that  and we can use  as our unknown. 

Next, we want to cross multiply and divide to isolate the  on one side. 

The  will cancel and we are left with 

Example Question #1 : Whole And Part

Sarah, Robert, and Tristen each had the same number of cookies. Given the information below, which of the following could be the number of cookies each child had?

Sarah put her cookies into groups of 6 with none left over.

Robert put his cookies into groups 3 with none left over.

Tristen put his cookies into groups of 4 with none left over.

Possible Answers:

Correct answer:

Explanation:

This question is simply asking which number is divisible by 3, 4 and 6 with none left over. The only number that has 3, 4, and 6 as factors is 24.

Example Question #1 : Whole And Part

Angela bought  of a pound of candy for $4.00. What was the price per pound?

Possible Answers:

Correct answer:

Explanation:

If  of a pound of candy costs $4 then the price of a full pound will be 4 times as much.  Thus 4 times $4 is $16.  

Example Question #1 : Whole And Part

500 is two-fifths of what number?

Possible Answers:

Correct answer:

Explanation:

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

Solve:

Example Question #2 : Whole And Part

Which of the following numbers is divisible by 9 without a remainder?

Possible Answers:

Correct answer:

Explanation:

A number is divisible by 9 without a remainder when each of its digits add up to a number that is divisble by 9. When looking at the number 711, we can see that:

Given that 9 is divisble by 9, (equlaing 1, no remainder), 711 is divisble by 9. 

Example Question #2 : Whole And Part

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:

 pounds

 pounds

 pound

 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 #6 : How To Find The Whole From The Part

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. 

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