Data Analysis and Probability - SSAT Elementary Level Quantitative (Math)

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Question

Order these four decimals from least to greatest:

Answer

To order these four negative numbers from least to greatest, we first order their (positive) absolute values from greatest to least.

The tenths digits are all 6, so we can compare the hundredths digits; if there is a tie, we can compare their thousandths digits. The absolute values fall in this order:

The original numbers, therefore, fall in this order:

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Question

How many eggs are in 2 dozen eggs?

DozensTotal Number of Eggs
112
2
336
448

Answer

Since a dozen equals 12 eggs, the "Total Number of Eggs" column is increasing by 12 each time. Therefore 2 dozen eggs is equivalent to 24 eggs.

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Question

Jackie and her mom are baking cookies. They made a table with the recipe to show the ingredients for 1, 2, and 3 dozen cookies.

Number of CookiesEggsFlourSugarSalt
1 dozen23 cups1.5 cups1 tsp
2 dozen46 cups3 cups2 tsp
3 dozen69 cups4.5 cups3 tsp

How many cups of flour will they need for 3 dozen cookies?

Answer

Using the table to find the information, first look at the column "Number of Cookies" to find the last row "3 dozen." Then, find the column "Flour" and follow it down to the last row where it shows 9 cups.

Jackie will need 9 cups of flour to make 3 dozen cookies.

Number of CookiesEggsFlourSugarSalt
1 dozen23 cups1.5 cups1 tsp
2 dozen46 cups3 cups2 tsp
3 dozen69 cups4.5 cups3 tsp

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Question

Jackie and her mom are baking cookies. The recipe shows the following quantities of ingredients needed:

Number of CookiesEggsFlourSugarSalt
1 dozen23 cups1.5 cups1 tsp
2 dozen46 cups3 cups2 tsp
3 dozen69 cups4.5 cups3 tsp

If Jackie wants to make 4 dozen cookies, how many cups of sugar does she need?

Answer

Since the table does not show ingredients for 4 dozen cookies, you will need to extend the table.

Number of CookiesEggsFlourSugarSalt
1 dozen23 cups1.5 cups1 tsp
2 dozen46 cups3 cups2 tsp
3 dozen69 cups4.5 cups3 tsp
4 dozen812 cups6 cups4 tsp

Each time the recipe increases by 1 dozen, the sugar increases by 1.5 cups. To find the answer, simply add 1.5 cups to the last number in the column (4.5 cups).

Jackie will need 6 cups of sugar for 4 dozen cookies.

Another way to do this problem is to add the sugar for 1 dozen and 3 dozen to make 4 dozen: .

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Question

AntsBody PartsLegs
136
2612
3918
412?

How many legs do four ants have in total?

Answer

This box in the table is a question mark, so we will need to use other parts of the table to find the answer.

Use the first row in the table to see that each ant has six legs.

Multiply the number of ants by the number of legs per ant :

4 ants have 24 legs.

Another way to solve is to add the legs of four ants, knowing that each ant has six legs.

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Question

AntsBody PartsLegs
136
2612
3918
412?

Use the table to answer the question. If 4 ants have 12 body parts, how many body parts do 6 ants have?

Answer

Use the first row in the table to determine how many body parts 1 ant has. Since 1 ant has 3 body parts, you will need to multiply 6(ants) by 3(body parts).

6 ants have 18 body parts.

Another way to solve would be to add up the body parts of each of the six ants.

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Question

GiraffesEarsLegs
124
248
3612
48?

Use the table to answer the question. If 3 giraffes have 12 legs, how many legs do 4 giraffes have?

Answer

Use the first row in the table to determine how many legs 1 giraffe has. Since 1 giraffe has 4 legs, you will need to multiply 4(giraffes) by 4(legs each).

The 4 giraffes have 16 legs.

You can also add the legs of 4 single giraffes by making 4 groups of 4.

oooo + oooo + oooo + oooo = 16

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Question

GiraffesEarsLegs
124
248
3612
48?

Use the table to answer the question. If 4 giraffes have 8 ears, how many ears do 7 giraffes have?

Answer

Use the first row in the table to determine how many ears 1 giraffe has. Since 1 giraffe has 2 ears, you will need to multiply 7(giraffes) by 2(ears).

7 giraffes have 14 ears altogether.

You can also solve by adding the ears of each giraffe together, making 7 groups of 2.

oo + oo + oo + oo + oo + oo + oo = 14

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Question

Screen_shot_2013-12-20_at_8.12.18_pm

What is the average temperature of the five cities on August 21st?

Answer

To find the average, we need to add all of the temperatures together, and then divide by the number of total temperatures (which is five).

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Question

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Which student got the third highest math test score?

Answer

Kayla got the highest score (99), followed by Brayden with the second highest (92), and then Bessie with the third highest (86). Sheniqua got the fourth highest (83), and Johnny got the lowest (71).

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Question

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If Brayden scored an on his science test, what is the average of his two test scores?

Answer

To find the answer, we should add Brayden's math test score () to Brayden's science test score () and divide by .

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Question

Screen_shot_2013-12-24_at_4.07.31_pm

Mrs. Feeney asked five of her 4th grade students about their favorite ice cream and juice. According to the table, which ice cream flavor is chosen most often by the students?

Answer

Under the Favorite Ice Cream column, we see that 3 students picked vanilla (Mikey, Jonas, & Taylor), 1 picked chocolate chip (Quinn), and 1 picked strawberry (Chloe). Based on that, vanilla is the favorite flavor.

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Question

Screen_shot_2013-12-24_at_4.07.31_pm

Which two students share the same favorite ice cream and favorite juice?

Answer

To answer this question, look at the two columns and see which two students pick the same answer to favorite ice cream and favorite juice. Both Mikey and Taylor selected vanilla as their favorite ice cream flavor and apple juice as their favorite juice!

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Question

Screen_shot_2014-01-02_at_10.43.21_pm

Who recieved the highest score on the math test?

Answer

To find this answer, look under the Math Test Score column to see which student got the highest score. Ernie received a 99 on the math test**,** which is higher than the other four students!

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Question

Screen_shot_2014-01-02_at_10.43.21_pm

Which student has the greatest sum of their test scores?

Answer

To find this answer, add together each student's math and english test scores to see which student has the greatest sum. Ernie recieved points when adding his math and English test scores together, which is higher than the other four students.

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Question

Screen_shot_2014-01-06_at_12.49.03_pm

What fraction of students selected basketball as their favorite sport?

Answer

To find this answer, look at the Favorite Sport column and see how many students selected basketball as their favorite sport. Allie, Cooper, and Bertha all selected basketball, making it 3 out of 6 students picking basketball. is not an answer choice, but if we reduce the fraction by dividing the top and the bottom by 3, we get (which is an answer choice!).

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Question

Screen_shot_2014-01-06_at_12.49.03_pm

How many students selected Spanish as their favorite subject?

Answer

To find this answer, look at the Favorite Subject column and see how many students selected Spanish as their favorite subject. No students selected Spanish, so the answer is

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Question

Two teams of three Girl Scouts each are competing to sell the most boxes of cookies. Below is the table listing the number of boxes each girl has sold so far.

Bluebird Team:

Cardinal Team:

Which team is leading and by how much?

Answer

Bluebird Team has sold boxes of cookies total.

Cardinal Team has sold boxes of cookies total.

Bluebird Team leads Cardinal Team by one box.

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Question

Screen_shot_2014-02-13_at_4.33.00_pm

What fraction of students selected purple as their favorite color?

Answer

To find this answer, we need to look at the "Favorite Color" column and count how many students selected purple as their favorite color. 3 students (Tommy, Reniece and Britt) chose purple out of the 6 total students, giving us the correct answer choice - 3/6!

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Question

Screen_shot_2014-02-13_at_4.33.00_pm

If all 6 students were born in the same year, which student is the second oldest?

Answer

To figure out which student is the second oldest, look at the "Birthday" column to see whose birthday is the second earliest in the year (starting with January). Reniece is the oldest because her birthday is February 12th, and Devyn is the second oldest because her birthday is next in order, being on April 28th!

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