Whole and Part - SSAT Middle Level Math

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Question

The sum of the factors of 12 is

Answer

The factors of 12 are 1, 12, 3, 4, 2, and 6. The sum of them is when you add all of them together. .

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Question

There are children in a class. If of the children are male, how many of them are female?

Answer

If are male, then of the children in the class are female .

If this is true, then times the total number of students in the class will give you the number of females.

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Question

The ratio of women to men in a meeting with 56 people is 5 to 3. How many more women then men are there?

Answer

The best way to think about this problem is to divide the total number of people into parts. Since there are 5 parts women to 3 parts men, it's best to divide the total into 8 parts. Dividing 56 into 8 parts gives you 7. 7 is your multiplier. Now take your multiplier (7) and multiply it by your ratios.

This give you and or and . These are the number of women and men, respectively.

The difference between 35 and 21 is 14.

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Question

It took Julia 15 minutes to walk 1 mile. If she walks for 2 more miles at the same speed, what part of an hour will her entire 3-mile walk take?

Answer

It will take her 30 more minutes to finish her walk for a total of 45 minutes. 45 minutes of 60 minutes in an hour is the same as .

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Question

Alice received $2.40 for her weekly allowance. If her favorite snacks cost 60¢ each, how many snacks can Alice buy this week?

Answer

To solve:

Divide the total amount of Alice's allowance ($2.40) by the price for each snack ($ .60)

Alice would be able to buy 4 snacks.

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Question

Steve ate 20% of his pie on Monday. On Tuesday Steve ate 50% of the left-over pie. What percent of the pie is left?

Answer

On Tuesday, Steve ate 50% (half) of the 80%, which is 40%. Steve has eaten 20% on Monday and 40% on Tuesday, so there is 40% left over.

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Question

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?

Answer

First add up the prices of the three tickets:

Then subtract that amount from $213:

Therefore Eric will have $51.71 left over.

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Question

Stephanie needs to drive miles to meet her family at their vacation home. If she drives at miles per hour, how many hours will it take Stephanie to arrive?

Answer

Divide:

Answer: It will take Stephanie hours to arrive.

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Question

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?

Answer

Divide $225 by 12:

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

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Question

As a swim team member, Nicolas needs to train 90 hours a month. How many hours should Nicolas train each day of the 30-day month, in order to reach his goal?

Answer

Divide 90 hours by 30 days in the month:

Answer: Nicolas needs to train 3 hours a day.

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Question

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.

Answer

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

Answer: Julie needs to save for 5 weeks.

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Question

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?

Answer

Divide the total amount of money he has by the cost of one ticket:

Answer: Sal can buy 8 tickets at the fair.

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Question

Brian found a motorcycle on sale for % off. If the original price of the motorcycle is $, how much will Brian save?

Answer

In order to find how much money Brian saved, we my first calculae % of $. We do this by multiplying by :

Since we are looking for how much Brian saved and not how much he spent, our final answer is $.

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Question

Sixteen balloons are to be shared evenly among four children. How many balloons will each child get?

Answer

Divide:

balloons

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Question

Seventy people need to make five equal lines. How many people will be on each line?

Answer

Divide:

people per line

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Question

Angelina goes to the grocery store. She only has $13.50 to spend. How many gallons of milk can she buy if each costs $4.50?

Answer

Divide:

Answer: She can buy 3 gallons of milk.

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Question

Diana sold seven of her collectable dolls and made $350.00. How much was each doll sold for?

Answer

Divide:

Answer: Each doll was sold for $50.00.

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Question

Eighteen dollars must be shared among friends. How much money will each friend receive?

Answer

Divide:

Answer: Each friend will receive .

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Question

Ninety-six people must form eight equal groups. How many people will be in each group?

Answer

Divide:

Answer: There will be 12 people in each group.

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Question

Three friends are in the desert and must share a 15 ounce bottle of water. How many ounces of water will each friend drink, assuming they split the bottle evenly?

Answer

Divide:

Answer: Each friend will drink 5 ounces of water.

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