SSAT Elementary Level Math : Operations

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

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Example Questions

Example Question #4 : Solving Problems Involving The Four Operations, And Identifying And Explaining Patterns In Arithmetic

In Spot’s toy basket he has  balls. There are  more stuffed animals than balls and there is double the number of ropes than balls. How many toys does Spot have in his basket? 

Possible Answers:

Correct answer:

Explanation:

To solve this problem, we first have to find our unknowns. Our unknowns are the number of ropes and stuffed animals that Spot has. We can set up equations for these unknowns by letting  represent ropes and  represent stuffed animals. 

 because he has  more stuffed animals than his  balls. 

 because double means  times more. 

Now we need to add up our number of balls, stuffed animals and ropes to find our total. 

 

Example Question #5 : Solving Problems Involving The Four Operations, And Identifying And Explaining Patterns In Arithmetic

Charlie swims laps in the pool every day during the week before school. On Monday and Tuesday he swims  laps each day. On Wednesday and Thursday he triples the number of laps he swims. By Friday, he does  less laps than he does on Monday. How many total laps does he swim during the week? 

Possible Answers:

Correct answer:

Explanation:

To solve this problem, we first have to find our unknowns. Our unknowns are the number of laps he swims on Wednesday and Thursday and the number of laps he swims on Friday. We can set up equations for these unknowns by letting  represent the laps that he swims on Wednesday and Thursday and  represent the number of laps he swims on Friday. 

 because when we triple something we multiply by .

 because he is swimming  less laps than he did on Monday, which means we subtract. 

To find the total amount of laps that he swam, we need to add up the laps that he did each day. 

Example Question #2221 : Operations

In Spot’s toy basket he has  balls. There are  more stuffed animals than balls and there is five times the number of ropes than balls. How many toys does Spot have in his basket? 

Possible Answers:

Correct answer:

Explanation:

To solve this problem, we first have to find our unknowns. Our unknowns are the number of ropes and stuffed animals that Spot has. We can set up equations for these unknowns by letting  represent ropes and  represent stuffed animals. 

 because he has  more stuffed animals than his  balls. 

 because he has five times as many ropes as his  balls. 

Now we need to add up our number of balls, stuffed animals and ropes to find our total. 

Example Question #12 : Solve Two Step Word Problems Using The Four Operations: Ccss.Math.Content.3.Oa.D.8

Tim swims laps in the pool every day during the week before school. On Monday and Tuesday he swims  laps each day. On Wednesday and Thursday he doubles the number of laps he swims. On Friday, he swims  fewer laps than he swam on Monday. How many total laps does he swim during the week? 

Possible Answers:

Correct answer:

Explanation:

To solve this problem, we first have to find our unknowns. Our unknowns are the number of laps he swims on Wednesday and Thursday and the number of laps he swims on Friday. We can set up equations for these unknowns by letting  represent the laps that he swims on Wednesday and Thursday and  represent the number of laps he swims on Friday. 

 because when we double something we multiply by .

 because he is swimming  less laps than he did on Monday, which means we subtract. 

To find the total amount of laps that he swam, we need to add up the laps that he did each day. 

Example Question #2222 : Operations

Solve for x. 

100degrees

Possible Answers:

Correct answer:

Explanation:

To find the value of x we add both of the known angles together. 

Example Question #2223 : Operations

Find the value of x. 

90degrees

Possible Answers:

Correct answer:

Explanation:

When we have an angle with a square symbol in the corner, that means we have a right angle, or a  angle. 

Example Question #1382 : How To Add

Simplify the below: 

Possible Answers:

Correct answer:

Explanation:

In order to simplify: , we have to find out how many of each thing we have. 

We can see that there are 2 a's in the group, so this becomes 

We can see that there are 2 b's in the group as well, so this becomes

And there are no other c's, so the  stays the same. 

The result becomes,  

Example Question #1383 : How To Add

Simplify the below: 

Possible Answers:

Correct answer:

Explanation:

In order to "Simplify" , we have to put the things that are alike together. 

We can rewrite this as: , now we have all the a's and b's together. 

If I have 5 a's added to another 3 a's , that gives us a total of 8 a's. 

If I have 2b's added to another b, that gives us a total of 3 b's. 

If we put all of this together that will simplify to become: 

Example Question #4 : Add Fractions With Unlike Denominators

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem, we first have to find common denominators. 

Now that we have common denominators, we can add the fractions. Remember, when we add and subtract fractions, we only add or subtract the numerator. 

 because  can go into  one time, with one left over. 

Example Question #1 : Add Fractions With Unlike Denominators

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem, we first have to find common denominators. 

Now that we have common denominators, we can add the fractions. Remember, when we add and subtract fractions, we only add or subtract the numerator. 

 because  and go into  one time with four left over.  can be reduced to  by dividing the numerator and the denominator by 

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