Data Analysis and Probability - SSAT Elementary Level Quantitative
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Which would make the most sense to use if we were going to measure an oven?
Which would make the most sense to use if we were going to measure an oven?
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An oven is most likely larger ruler could measure because a ruler can only measure up to 12 inches. A yardstick can measure up to 3 feet (or 36 inches), and a meter stick is about the same size as a yardstick.
An oven is most likely larger ruler could measure because a ruler can only measure up to 12 inches. A yardstick can measure up to 3 feet (or 36 inches), and a meter stick is about the same size as a yardstick.
Which would make the most sense to use if we were going to measure a jar?
Which would make the most sense to use if we were going to measure a jar?
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You would use a ruler to measure a jar because a jar is most likely smaller than 12 inches, which is the size of a ruler. All of the other tools will be much larger.
You would use a ruler to measure a jar because a jar is most likely smaller than 12 inches, which is the size of a ruler. All of the other tools will be much larger.
Which would make the most sense to use if we were going to measure a bug?
Which would make the most sense to use if we were going to measure a bug?
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You would use a ruler to measure a bug because a bug is most likely smaller than 12 inches, which is the size of a ruler. All of the other tools will be much larger.
You would use a ruler to measure a bug because a bug is most likely smaller than 12 inches, which is the size of a ruler. All of the other tools will be much larger.
Which would make the most sense to use if we were going to measure a kite?
Which would make the most sense to use if we were going to measure a kite?
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You would want to use a yardstick to measure a kite because a kite is most likely bigger than 12 inches, which is the length of a ruler. However, a kite is normally not bigger than 36 inches, or three feet. Measuring tape is usually used to measure much larger objects.
You would want to use a yardstick to measure a kite because a kite is most likely bigger than 12 inches, which is the length of a ruler. However, a kite is normally not bigger than 36 inches, or three feet. Measuring tape is usually used to measure much larger objects.
Look at the chart below. How many grapes are there?
Look at the chart below. How many grapes are there?
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In the chart, grapes are shown in the last bar. That bar goes up to the number 
, which means there are 
grapes.
In the chart, grapes are shown in the last bar. That bar goes up to the number
Look at the chart below. What is there the least of?
Look at the chart below. What is there the least of?
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There are 
pens, 
pencils, and 
markers. 
is the smallest number, which means there are less pens than pencils or markers.
There are
Look at the chart below. How many pens are there?
Look at the chart below. How many pens are there?
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Pens are show in the first bar. The bar goes up to the number 
which means there are 
pens.
Pens are show in the first bar. The bar goes up to the number
Look at the chart below. How many more oranges are there than apples?
Look at the chart below. How many more oranges are there than apples?
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There are 
oranges and 
apples. To find the difference we subtract.
There are
Ten cards each have a number printed on them. Five have a 1 printed on them, three have a 2, and two have a 3. The cards are shuffled and a card is dealt. What is the probability that the card will not be a 3?
Ten cards each have a number printed on them. Five have a 1 printed on them, three have a 2, and two have a 3. The cards are shuffled and a card is dealt. What is the probability that the card will not be a 3?
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There are ten cards total, and eight cards that are not threes. This makes the probability of drawing a three
There are ten cards total, and eight cards that are not threes. This makes the probability of drawing a three
Express the probability as a fraction.
Nija has 7 marbles. There are 2 red, 3 blue, and 2 yellow. What is the probablilty that Nija will choose a red marble?
Express the probability as a fraction.
Nija has 7 marbles. There are 2 red, 3 blue, and 2 yellow. What is the probablilty that Nija will choose a red marble?
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Probability can be expressed as a fraction:
Our fraction is 
.
Since there are 2 red marbles out of 7 total marbles, the probability of choosing a red marble is 
.
Probability can be expressed as a fraction:
Our fraction is
Since there are 2 red marbles out of 7 total marbles, the probability of choosing a red marble is
A ring toss game has 25 bottles, 5 of which are yellow. If you toss a ring around a yellow bottle, you win the grand prize. What is the probability of winning the grand prize? (Give the fraction in simplest form.)
A ring toss game has 25 bottles, 5 of which are yellow. If you toss a ring around a yellow bottle, you win the grand prize. What is the probability of winning the grand prize? (Give the fraction in simplest form.)
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To find the probability of an outcome, set up a fraction.
Since there are 5 yellow (part) out of 25 bottles (total possible) the fraction looks like this: 
.
Reduce the fraction by dividing the top and bottom by 5:
This is the probability of winning the grand prize.
To find the probability of an outcome, set up a fraction.
Since there are 5 yellow (part) out of 25 bottles (total possible) the fraction looks like this:
Reduce the fraction by dividing the top and bottom by 5:
This is the probability of winning the grand prize.
A magician holds in his bag 3 green balls, 4 red balls and 7 blue balls. What is the probability of drawing a red ball from the bag?
A magician holds in his bag 3 green balls, 4 red balls and 7 blue balls. What is the probability of drawing a red ball from the bag?
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Probability = total number of possible outcomes/sample space.
= 
= 
Probability = total number of possible outcomes/sample space.
=
=
If there are 2 blue marbles and 18 red marbles in a jar, what is the probability that Jeff will pick out a red marble?
If there are 2 blue marbles and 18 red marbles in a jar, what is the probability that Jeff will pick out a red marble?
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First, add the total number of marbles, which is 
. There are 18 red marbles, so you set up a fraction 
.
If you simplify by dividing the numerator and denominator by 2, you get 
.
First, add the total number of marbles, which is
If you simplify by dividing the numerator and denominator by 2, you get
In a restaurant there are two managers, three workers, and twelve guests. What is the probability that a person chosen at random is a worker?
In a restaurant there are two managers, three workers, and twelve guests. What is the probability that a person chosen at random is a worker?
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The total number of people in the room is the sum of all the different types of people:
The probability of choosing a worker is the number of workers divided by the total number of people. There are three workers and seventeen people in total:
The total number of people in the room is the sum of all the different types of people:
The probability of choosing a worker is the number of workers divided by the total number of people. There are three workers and seventeen people in total:
Find the probability of an outcome. Express the outcome as fraction, reduced to its lowest terms.
Mr. Thomas went to a car lot to buy a new car. Of the 68 cars on the lot, 22 were black, 16 were silver, 8 were white, 12 were blue, and 10 were red. What is the probability that Mr. Thomas will buy a blue car?
Find the probability of an outcome. Express the outcome as fraction, reduced to its lowest terms.
Mr. Thomas went to a car lot to buy a new car. Of the 68 cars on the lot, 22 were black, 16 were silver, 8 were white, 12 were blue, and 10 were red. What is the probability that Mr. Thomas will buy a blue car?
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To find the probability of an outcome, set up a fraction:
Since there are 12 blue cars (part) out of 68 cars in all (total possible) the fraction looks like this:
If you reduce the fraction by 4 (because the numerator and the denominator are both divisible by 4 which makes 4 the GCF (greatest common factor), it becomes:
To find the probability of an outcome, set up a fraction:
Since there are 12 blue cars (part) out of 68 cars in all (total possible) the fraction looks like this:
If you reduce the fraction by 4 (because the numerator and the denominator are both divisible by 4 which makes 4 the GCF (greatest common factor), it becomes:
There are 10 marbles in a bag:
7 red
2 blue
1 yellow
What is the probability of choosing a red ball out of the bag?
There are 10 marbles in a bag:
7 red
2 blue
1 yellow
What is the probability of choosing a red ball out of the bag?
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To find the probability of an outcome, set up a fraction:
Since there are 7 red marbles (part) out of 10 marbles in all (total possible) the fraction looks like this:
To find the probability of an outcome, set up a fraction:
Since there are 7 red marbles (part) out of 10 marbles in all (total possible) the fraction looks like this:
A bag contains 
red socks and 
purple socks. What is the chance that I pick a purple sock from the bag?
A bag contains
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To find the probability of picking a purple sock from the bag of socks, we need to set up a fraction like this: 
. The problem tells us that we have 
purple socks, so we can put that on the top of the fraction. The total number of socks is equal to 
purple socks + 
red socks, giving us a sum of 
(which goes on the bottom of the fraction). That gives us a 
chance of picking a purple sock from the bag!
To find the probability of picking a purple sock from the bag of socks, we need to set up a fraction like this:
Mikey has a box filled with cookies. He has 6 chocolate chip cookies, 4 sugar cookies, and 2 oatmeal raisin cookies. What is the chance that Mikey picks a sugar cookie out of the box?
Mikey has a box filled with cookies. He has 6 chocolate chip cookies, 4 sugar cookies, and 2 oatmeal raisin cookies. What is the chance that Mikey picks a sugar cookie out of the box?
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To find the probability of picking a sugar cookie from the bag of cookies, we need to set up a fraction like this:
The problem tells us that Mikey has 4 sugar cookies, so we can put that on the top of the fraction. The total number of cookies is equal to 6 chocolate chip cookies + 4 sugar cookies + 2 oatmeal raisin cookies, giving us a sum of 12 (which goes on the bottom of the fraction). That gives Mikey a 
chance of picking a sugar cookie!
To find the probability of picking a sugar cookie from the bag of cookies, we need to set up a fraction like this:
The problem tells us that Mikey has 4 sugar cookies, so we can put that on the top of the fraction. The total number of cookies is equal to 6 chocolate chip cookies + 4 sugar cookies + 2 oatmeal raisin cookies, giving us a sum of 12 (which goes on the bottom of the fraction). That gives Mikey a
Sofia has a pizza pie with 8 slices. 4 slices have pepperoni, 3 slices have mushrooms and 1 slice has olives. If Sofia randomly picks a piece of pizza to eat, what is the chance that the slice of pizza has mushrooms on it?
Sofia has a pizza pie with 8 slices. 4 slices have pepperoni, 3 slices have mushrooms and 1 slice has olives. If Sofia randomly picks a piece of pizza to eat, what is the chance that the slice of pizza has mushrooms on it?
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To find the probability of picking a mushroom slice from the pizza pie, we should set up a fraction like this:
The problem tells us that we have 3 mushroom slices, so we can put that on the top of the fraction. The problem also tells us that we have 8 total slices in the pizza pie, so that can go on the bottom of the fraction. That gives Sofia a 
chance of picking a mushroom slice!
To find the probability of picking a mushroom slice from the pizza pie, we should set up a fraction like this:
The problem tells us that we have 3 mushroom slices, so we can put that on the top of the fraction. The problem also tells us that we have 8 total slices in the pizza pie, so that can go on the bottom of the fraction. That gives Sofia a
Jenny buys two dozen donuts from the bakery. If 12 donuts are glazed, 6 donuts are jelly, 4 donuts are powdered and 2 donuts are plain, what is the chance that she will randomly pick a powdered donut from the box?
Jenny buys two dozen donuts from the bakery. If 12 donuts are glazed, 6 donuts are jelly, 4 donuts are powdered and 2 donuts are plain, what is the chance that she will randomly pick a powdered donut from the box?
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To find the probability of picking a powdered donut from the box of donuts, we need to set up a fraction like this:
. The problem tells us that we have 4 powdered donuts, so we can put that on the top of the fraction. The total number of donuts is 2 dozen, which is equal to 24 donuts (which goes on the bottom of the fraction). That gives Jenny a 
chance of picking a powdered donut from the box!
To find the probability of picking a powdered donut from the box of donuts, we need to set up a fraction like this: