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 #166 : How To Find The Whole From The Part

The ratio of blue to green lizards is 6:20. If there are 350 blue lizards, how many lizards are there total?

Possible Answers:

 

Correct answer:

Explanation:

The easiest way to solve this problem is by using cross multiplication. First we need to determine how many green lizards there are and then add this to the number of blue lizards to get the total amount of lizards. Therefore,

 

 (approx.) amount of green lizards

 

The easiest way to approximate this part of the problem is to notice that 6 is very close to 7. So if . So if we are dividing by a slightly smaller number we will get a larger answer.

 

We then need to add this number to 350 blue lizards in order to get the total amount of lizards. Therefore, .

Example Question #167 : How To Find The Whole From The Part

There are 6 parts root beer to 3 parts ice cream in a root beer float. If there is 18oz of root beer, how many total ounces make up the root beer float (ice cream+ root beer)? 

Possible Answers:

Correct answer:

Explanation:

First, divide the 18oz of root beer by 6 parts in order to determine how many ounces per 1 part of root beer. Therefore, .

In order to determine the amount of ice cream, multiply 1 part (3 oz) by 3, since ice cream is comprised of 3 parts. Therefore, there are 9oz of ice cream. Add this to the 18oz of root beer in order to get the total ounces of the root beer float.

.

Example Question #461 : Common Core Math: Grade 5

What number is eight hundred seventy-nine and one hundred sixty-nine thousandths?

Possible Answers:

Correct answer:

Explanation:

In number form, eight hundred seventy-nine and one hundred sixty-nine thousandths is . The "and" signifies the decimal, and "thousandths" signifies the place value of the last decimal number. 

Example Question #4 : Read And Write Decimals To Thousandths Using Base Ten Numerals, Number Names, And Expanded Form: Ccss.Math.Content.5.Nbt.A.3a

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. 

Example Question #171 : How To Find The Whole From The Part

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 tens place, so we multiply by .

 

 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. 

Example Question #1021 : Ssat Middle Level Quantitative (Math)

It took Julia 15 minutes to walk 1 mile.  If she walks for 2 more miles at the same speed, what part of an hour will her entire 3-mile walk take?

Possible Answers:

Correct answer:

Explanation:

It will take her 30 more minutes to finish her walk for a total of 45 minutes.  45 minutes of 60 minutes in an hour is the same as .

Example Question #1022 : Ssat Middle Level Quantitative (Math)

The sum of the factors of 12 is

Possible Answers:

Correct answer:

Explanation:

The factors of 12 are 1, 12, 3, 4, 2, and 6.  The sum of them is when you add all of them together. .

Example Question #1023 : Ssat Middle Level Quantitative (Math)

There are  children in a class. If  of the children are male, how many of them are female?

Possible Answers:

Correct answer:

Explanation:

If  are male, then  of the children in the class are female .  

If this is true, then  times the total number of students in the class will give you the number of females.  

Example Question #3 : How To Find The Part From The Whole

The ratio of women to men in a meeting with 56 people is 5 to 3.  How many more women then men are there?

Possible Answers:

Correct answer:

Explanation:

The best way to think about this problem is to divide the total number of people into parts. Since there are 5 parts women to 3 parts men, it's best to divide the total into 8 parts.  Dividing 56 into 8 parts gives you 7.  7 is your multiplier.  Now take your multiplier (7) and multiply it by your ratios.  

This give you  and  or  and .  These are the number of women and men, respectively.  

The difference between 35 and 21 is 14.

Example Question #1031 : Ssat Middle Level Quantitative (Math)

Robert's dog is 4 years older than Karen's cat. In 3 years, the sum of the ages of Robert's dog and Karen's cat will be 13. How old is Robert's dog right now?

Possible Answers:

 years old

 years old

 years old

 years old

 years old

Correct answer:

 years old

Explanation:

We can solve this problem by backsolving, meaning plugging in the answer choices. 

If we plug in 7 for the dog's age, that means that in 3 years, the dog will be 10. 

That also means that the cat is 3 since the dog is 4 years older. 

The sum of 10 and 3 is 13, so the answer choice of 7 is the correct answer. 

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