SSAT Middle Level Math : SSAT Middle Level Quantitative (Math)

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

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Example Questions

Example Question #22 : How To Find The Part From The Whole

Julie gets paid $304 a week for dogsitting. If she wants to buy a new washing machine that costs $1400, how many weeks does Julie need to work to save up the required amount? Round to the nearest whole week.

Possible Answers:

Correct answer:

Explanation:

Divide the cost of the washing machine by the amount of money she makes each week:

Answer: Julie needs to save for 5 weeks.

Example Question #943 : Isee Middle Level (Grades 7 8) Mathematics Achievement

In order to travel from New York to Florida with his family, Eric needs to purchase 3 tickets, costing $52.00, $64.79 and $44.50. If he has $213.00 in his wallet, how much money will Eric have left over after buying the tickets?

Possible Answers:

Correct answer:

Explanation:

First add up the prices of the three tickets:

Then subtract that amount from $213:

Therefore Eric will have $51.71 left over.

Example Question #391 : Numbers And Operations

Natasha is going Christmas shopping for the twelve people on her list. On average, how much money can she spend per gift if she has a $225.00 budget?

Possible Answers:

Correct answer:

Explanation:

Divide $225 by 12:

Answer: On average, Natasha can spend $18.75 per gift.

Example Question #392 : Numbers And Operations

Which of the following is a factor of 72?

Possible Answers:

None of these

Correct answer:

Explanation:

Factors can be multiplied to get a certain number; when a certain number is divided by a factor, the result is a whole number.

When 18 and 4 are multiplied, the result is 72; thus, 18 and 4 are both factors of 72.

When 72 is divided by the other answer choices, a whole number does NOT result.

Example Question #393 : Numbers And Operations

There are 15 animals in a pet store. The only animals are dogs and cats. There are twice as many dogs as cats. How many dogs are there?

Possible Answers:

Correct answer:

Explanation:

In this problem, the sum of the cats and dogs must equal 15. If there are 10 dogs, there must be 5 cats because there are twice as many dogs as cats. (Two times 5 is 10.)

Given that 10 plus 5 is 15, 10 is the correct answer. 

Example Question #27 : How To Find The Part From The Whole

A dog has a litter of 6 puppies. The average weight of the puppies is 7 pounds. After one week, half of the puppies have gained one pound. What is the new average weight of the puppies after one week?

Possible Answers:

Correct answer:

Explanation:

If half of the 6 puppies gain one pound, that means that 3 puppies will gain one pound. This means that 3 total pounds will be gained among the 6 puppies. 

We can assume that the weight of each puppy was originally 7 pounds, since the average was 7. Three of the puppies have gained a pound, meaning they will weigh 8 pounds.

Weights of the puppies after one week: 7, 7, 7, 8, 8, 8

Find the new average by summing the individual weights and dividing by the number of puppies.

Example Question #21 : How To Find The Part From The Whole

Brett buys a shirt. The original price was , but the shirt is on sale for  off. Additionally, Brett has a  off coupon that he uses after the  off is applied. What is the price of the shirt in dollars, before tax?

Possible Answers:

Correct answer:

Explanation:

If the original price of the shirt was , but it is on sale for  off, then that means the shirt will be discounted by  because  of  is . . Additionally, with the  off coupon, the final price would be .

Example Question #61 : Numbers And Operations

Sweaters are  each, but they are on sale: when you buy one, you get one free. Rebecca buys one sweater and gets one free. At checkout, she then presents a coupon for an additional  off. What is the average cost of one sweater in dollars (before tax)?

Possible Answers:

Correct answer:

Explanation:

If Rebecca buys a  sweater that is part of a buy one, get one free sale, that means that she will get two sweaters for a total of . A  off discount will mean that Rebecca will save  off of her total because  of  is .

Therefore, the total she will pay is equal to

The average price of a sweater will therefore be .

Example Question #24 : How To Find The Part From The Whole

 of the students in a classroom of  students are boys.  of the girls in this classroom wear their hair in pigtails. How many girls wear their hair in pigtails?

Possible Answers:

Correct answer:

Explanation:

If  of the students in a classroom of  students are boys, that means that  students are boys, since . (Alternatively, you could figure this out by realizing that since  of  is  and ,  of  must equal , which is .) If there are  boys in the classroom, there must be  girls, since .

 Given that  of the girls wear their hair in pigtails, and  of  is , it follows that there are  girls in the classroom who wear their hair in pigtails.

Example Question #951 : Isee Middle Level (Grades 7 8) Mathematics Achievement

If the sum of 3 consecutive numbers is 111, what is the value of the middle number?

Possible Answers:

Correct answer:

Explanation:

The sum of  . The easiest way to discover the middle number of this set is to divide 111 by 3:

 

Now that you have the middle number, simply add one to it and subtracy one from it to get your consecutive numbers:

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