How to find the part from the whole - SSAT Middle Level: Quantitative
Card 1 of 464
The sum of the factors of 12 is
The sum of the factors of 12 is
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The factors of 12 are 1, 12, 3, 4, 2, and 6. The sum of them is when you add all of them together. 
.
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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There are 
children in a class. If 
of the children are male, how many of them are female?
There are
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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.
If
If this is true, then
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The ratio of women to men in a meeting with 56 people is 5 to 3. How many more women then men are there?
The ratio of women to men in a meeting with 56 people is 5 to 3. How many more women then men are there?
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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.
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
The difference between 35 and 21 is 14.
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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?
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?
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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 
.
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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Alice received $2.40 for her weekly allowance. If her favorite snacks cost 60¢ each, how many snacks can Alice buy this week?
Alice received $2.40 for her weekly allowance. If her favorite snacks cost 60¢ each, how many snacks can Alice buy this week?
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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.
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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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?
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?
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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.
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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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?
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?
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First add up the prices of the three tickets:
Then subtract that amount from $213:
Therefore Eric will have $51.71 left over.
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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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?
Stephanie needs to drive
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Divide: 
Answer: It will take Stephanie 
hours to arrive.
Divide:
Answer: It will take Stephanie
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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?
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?
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Divide $225 by 12:
Answer: On average, Natasha can spend $18.75 per gift.
Divide $225 by 12:
Answer: On average, Natasha can spend $18.75 per gift.
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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?
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?
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Divide 90 hours by 30 days in the month:
Answer: Nicolas needs to train 3 hours a day.
Divide 90 hours by 30 days in the month:
Answer: Nicolas needs to train 3 hours a day.
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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.
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.
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Divide the cost of the washing machine by the amount of money she makes each week:
Answer: Julie needs to save for 5 weeks.
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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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?
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?
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Divide the total amount of money he has by the cost of one ticket: 
Answer: Sal can buy 8 tickets at the fair.
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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Brian found a motorcycle on sale for 
% off. If the original price of the motorcycle is $
, how much will Brian save?
Brian found a motorcycle on sale for
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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 $
.
In order to find how much money Brian saved, we my first calculae
Since we are looking for how much Brian saved and not how much he spent, our final answer is $
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Sixteen balloons are to be shared evenly among four children. How many balloons will each child get?
Sixteen balloons are to be shared evenly among four children. How many balloons will each child get?
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Divide:
balloons
Divide:
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Seventy people need to make five equal lines. How many people will be on each line?
Seventy people need to make five equal lines. How many people will be on each line?
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Divide:
people per line
Divide:
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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?
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?
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Divide: 
Answer: She can buy 3 gallons of milk.
Divide:
Answer: She can buy 3 gallons of milk.
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Diana sold seven of her collectable dolls and made $350.00. How much was each doll sold for?
Diana sold seven of her collectable dolls and made $350.00. How much was each doll sold for?
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Divide:
Answer: Each doll was sold for $50.00.
Divide:
Answer: Each doll was sold for $50.00.
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Eighteen dollars must be shared among 
friends. How much money will each friend receive?
Eighteen dollars must be shared among
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Divide: 
Answer: Each friend will receive 
.
Divide:
Answer: Each friend will receive
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Ninety-six people must form eight equal groups. How many people will be in each group?
Ninety-six people must form eight equal groups. How many people will be in each group?
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Divide: 
Answer: There will be 12 people in each group.
Divide:
Answer: There will be 12 people in each group.
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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?
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?
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Divide: 
Answer: Each friend will drink 5 ounces of water.
Divide:
Answer: Each friend will drink 5 ounces of water.
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