SSAT Upper Level Math : Fractions

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

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Example Questions

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

Jeremy bought  worth of toothpaste. At the checkout, he found that he had a coupon that would take  off the cost of the toothpaste. How much will Jeremy pay for the toothpaste if he uses the coupon?

Possible Answers:

Correct answer:

Explanation:

Subtract the amount the coupon would take off from the total amount the toothpaste would cost.

If Jeremy uses the coupon, the toothpaste will cost .

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

The tax on the sale of a house worth  was . What was the tax rate?

Possible Answers:

Correct answer:

Explanation:

To find the tax rate, divide the tax amount by the total worth of the house.

Now, convert this decimal into a percentage.

The tax rate on this house sale is .

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

If Hannah needs to pay a  tax on her yearly income of , how much does she need to pay for the tax?

Possible Answers:

Correct answer:

Explanation:

Multiply  by  to find the amount Hannah needs to pay in taxes.

Hannah needs to pay  in taxes.

Example Question #121 : Fractions

A dress goes on sale for  off. If the dress originally cost , how much does it cost while it is on sale?

Possible Answers:

Correct answer:

Explanation:

Subtract the amount discounted from the original cost of the dress to find its sale price.

The dress cost  on sale.

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

Initially,  number of students were going to chip in to buy their teacher a present that cost  dollars. If  students decide not to pay, which of the following expressions represent how much each remaining student must now pay?

Possible Answers:

Correct answer:

Explanation:

To determine how much each person must pay, we will need to divide the total dollar amount by the number of people paying.

Before some students decided not to pay, the amount each person would have to pay is represented by the following expression:

Now, since  students dropped out, we need to subtract that from the number of people who will be paying.

Example Question #121 : Fractions

Pauline has  pieces of candy. If she eats  of the candy then accidentally drops  of the remaining amount on the ground, how many pieces of candy does she have left?

Possible Answers:

Correct answer:

Explanation:

First, find out how many pieces of candy Pauline has after eating  of them.

Now, she loses  of this remaining amount.  Since  of  is , that means that her new total is 15 - 5 = 10 pieces of candy.

 

Pauline is left with 10 pieces of candy.

Example Question #122 : Fractions

Janice had  of a cup of milk. If she used  cup to make some scrambled eggs, how much of a cup of milk does she have left?

Possible Answers:

Correct answer:

Explanation:

Subtract the two fractions. To subtract them, they must have a common denominator. Multiply the numerator and denominator of  by  to create a common denominator of , then subtract the numerators and reduce the resulting fraction.

Example Question #1 : Operations With Fractions

What is the result of this operation?

Possible Answers:

Correct answer:

Explanation:

Since the denominators are exactly the same, we can just subtract the tops.

So

By reducing we get

Example Question #124 : Fractions

What is the result of this operation?

 

Possible Answers:

Correct answer:

Explanation:

Since the denominators are the same, we can just subtract the numerators.

So

Example Question #125 : Fractions

What is the result of this operation?

Possible Answers:

Correct answer:

Explanation:

Since the denominators are the same, we can just subtract the numerators.

By reducing our result, we get

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