SSAT Middle Level Math : Whole and Part

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

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Example Questions

Example Question #191 : Whole And Part

Pamela takes her children to the fair. How many $3.00 tickets can she buy if she only has $21.00?

Possible Answers:

\(\displaystyle 9\)

\(\displaystyle 6\)

\(\displaystyle 7\)

\(\displaystyle 8\)

Correct answer:

\(\displaystyle 7\)

Explanation:

Divide:

\(\displaystyle 21 \div 3=7\)

Answer: Pamela can buy 7 tickets.

Example Question #192 : Whole And Part

In March, there were 10 sunny days, 10 cloudy days, and 11 rainy days. How many days did it rain in March?

Possible Answers:

\(\displaystyle 10\)

\(\displaystyle 9\)

\(\displaystyle 11\)

 

\(\displaystyle 21\)

Correct answer:

\(\displaystyle 11\)

 

Explanation:

Identify the number of rainy days in March: \(\displaystyle 11\) days

 

Example Question #193 : Whole And Part

\(\displaystyle 4(5\cdot 8)=\)

Possible Answers:

\(\displaystyle 52\)

\(\displaystyle 21\)

\(\displaystyle 160\)

Correct answer:

\(\displaystyle 160\)

Explanation:

Solve inside the parentheses:

\(\displaystyle 5\cdot 8=40\)

Then, solve:

\(\displaystyle 4\cdot 40=160\)

Answer: 160

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

Sal is going to the fair with his family. He has $18.00 to buy tickets. How many tickets can he buy if each one costs $2.25?

Possible Answers:

\(\displaystyle 7\)

\(\displaystyle 8\)

\(\displaystyle 9\)

\(\displaystyle 6\)

\(\displaystyle 5\)

Correct answer:

\(\displaystyle 8\)

Explanation:

Divide the total amount of money he has by the cost of one ticket: \(\displaystyle 18\div 2.25=8\)

Answer: Sal can buy 8 tickets at the fair.

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:

\(\displaystyle 4.5\)

\(\displaystyle 4.6\)

\(\displaystyle 5\)

\(\displaystyle 6\)

\(\displaystyle 4\)

Correct answer:

\(\displaystyle 5\)

Explanation:

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

\(\displaystyle 1400\div 304=4.6\)

Answer: Julie needs to save for 5 weeks.

Example Question #381 : Numbers And Operations

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:

\(\displaystyle \$49.21\)

\(\displaystyle \$96.21\)

\(\displaystyle \$51.71\)

\(\displaystyle \$161.29\)

\(\displaystyle \$63.04\)

Correct answer:

\(\displaystyle \$51.71\)

Explanation:

First add up the prices of the three tickets:

\(\displaystyle 52.00+64.79+44.50=161.29\)

Then subtract that amount from $213:

\(\displaystyle 213.00-161.29=51.71\)

Therefore Eric will have $51.71 left over.

Example Question #194 : Whole And Part

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:

\(\displaystyle \$22.50\)

\(\displaystyle \$15.00\)

\(\displaystyle \$30.00\)

\(\displaystyle \$18.75\)

\(\displaystyle \$25.00\)

Correct answer:

\(\displaystyle \$18.75\)

Explanation:

Divide $225 by 12:

\(\displaystyle 225 \div 12=18.75\)

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

Example Question #195 : Whole And Part

Which of the following is a factor of 72?

Possible Answers:

\(\displaystyle 5\)

None of these

\(\displaystyle 11\)

\(\displaystyle 18\)

\(\displaystyle 7\)

Correct answer:

\(\displaystyle 18\)

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.

\(\displaystyle 18\times4=72\)

\(\displaystyle 72\div18=4\)

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

Example Question #196 : Whole And Part

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:

\(\displaystyle 15\)

\(\displaystyle 8\)

\(\displaystyle 5\)

\(\displaystyle 10\)

Correct answer:

\(\displaystyle 10\)

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 #24 : 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:

\(\displaystyle 8\ \text{pounds}\)

\(\displaystyle 6\ \text{pounds}\)

\(\displaystyle 7\ \text{pounds}\)

\(\displaystyle 6.5\ \text{pounds}\)

\(\displaystyle 7.5\ \text{pounds}\)

Correct answer:

\(\displaystyle 7.5\ \text{pounds}\)

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.

\(\displaystyle \frac{7+7+7+8+8+8}{6}=\frac{45}{6}=7.5\)

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