SSAT Upper Level Math : How to find the whole from the part

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

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Example Questions

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Example Question #1 : How To Find The Whole From The Part

After a  discount, a car costs . How much did the car cost before the discount?

Possible Answers:

Correct answer:

Explanation:

Let  be the cost of the car before the discount. Since we know that the car at a discount costs , we can write the following equation:

Now, solve for  to find the cost of the car before the discount.

The car originally cost  before the  discount was applied.

Example Question #2 : How To Find The Whole From The Part

There are  yellow marbles in a bag. If  of the marbles in the bag are yellow, how many total marbles are in the bag?

Possible Answers:

Correct answer:

Explanation:

Let  be the total number of marbles in the bag. Since we know that  of the marbles are yellow, we can set up the following equation and solve for :

There are  total marbles in the bag.

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

Byron eats  calories for lunch. If he eats  of his calories at lunch, what is the total number of calories he eats for the day?

Possible Answers:

Correct answer:

Explanation:

Let  be the total number of calories Byron eats in a day. With the information given in the question, we can write the following equation and solve for .

Byron eats  calories for the day described in the question.

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

Max bought a t-shirt that was on sale at the store for . If he paid  for the shirt, how much would the shirt have costed before the sale?

Possible Answers:

Correct answer:

Explanation:

Let  be the cost of the t-shirt before it went on sale. With the information given in the question, we can write the following equation and solve for .

This can be rewritten as:

The shirt cost  before the sale.

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

Roselyn spent  when she bought a vacuum that was  off. How much did the vacuum cost before the sale?

Possible Answers:

Correct answer:

Explanation:

Let  be the cost of the vacuum before the sale. With the information given in the question, we can write the following equation and solve for .

This can be rewritten as:

The vacuum cost  before it went on sale.

Example Question #6 : How To Find The Whole From The Part

When Teresa saw that plane tickets to Hong Kong were  off, she immediately bought a discounted ticket for . How much would the ticket have cost if tickets to Hong Kong were not on sale?

Possible Answers:

Correct answer:

Explanation:

Let  be the price of the non-discounted ticket. With the information given in the question, we can write the following equation and solve for .

The plane ticket that Teresa bought would have cost  if it were not on sale.

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

There are  red marbles in a bag. If  of the marbles in the bag are red marbles, how many total marbles are in the bag?

Possible Answers:

Correct answer:

Explanation:

Let  be the total number of marbles in the bag. With the information given in the question, we can write the following equation and solve for .

There are  total marbles in the bag.

Example Question #8 : How To Find The Whole From The Part

If  of a certain number is , what is that number?

Possible Answers:

Correct answer:

Explanation:

Let  be the number we are looking for. With the information given in the question, we can write the following equation and solve for .

 of  is , so  is the correct answer.

Example Question #9 : How To Find The Whole From The Part

If  of a certain number is , what is that number?

Possible Answers:

Correct answer:

Explanation:

Let  be the number we are looking for. With the information given in the question, we can write the following equation and solve for .

 of  is , so  is the correct answer.

Example Question #10 : How To Find The Whole From The Part

If  of a certain number is , what is that number?

Possible Answers:

Correct answer:

Explanation:

Let  be the number we are looking for. With the information given in the question, we can write the following equation and solve for .

 of  is , so  is the correct answer.

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