SSAT Middle Level Math : SSAT Middle Level Quantitative (Math)

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

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Example Questions

Example Question #11 : Graphing

Four candidates ran for mayor of Monroe City. The results are below.

According to a city ordinance, a candidate must win more than 50% of the vote to win the election; if this does not happen, the two candidates who win the most votes will face each other in a runoff election. Based on the above graph, which of the following is the outcome of the vote?

Possible Answers:

Boatwright and Stephens will face each other in a runoff.

Boatwright and Delmar will face each other in a runoff.

Delmar won the election outright.

Boatwright won the election outright.

Boatwright and Van Owen will face each other in a runoff.

Correct answer:

Boatwright won the election outright.

Explanation:

We can determine whether the highest vote-getter, Boatwright, won the election outright by comparing Boatwright's votes to the sum of the votes of his opponents. The votes won by his opponents sum up to:

Boatwright won 8,542 votes. Since ,  Boatwright won a majority, and thus won the election outright.

Example Question #6 : Analyzing Graphs And Figures

Below is the list of candidates for Student Council president, along with the number of votes each won:

What percent of the students voted for neither Phillips nor Young (nearest tenth)?

Possible Answers:

Correct answer:

Explanation:

 students voted; of those students,  voted for a candidate other than Phillip or Young. To convert this to a percent, use this proportion and solve for  :

 

Example Question #1 : How To Find The Answer From A Table

Below is the list of candidates for Student Council president, along with the number of votes each won:

What percent of the students voted for Jarrow (nearest tenth)?

Possible Answers:

Correct answer:

Explanation:

 students total voted. Out of those, 29 voted for Jarrow. To convert this to a percent, use this proportion and solve for  :

Example Question #2 : How To Find The Answer From A Table

Consider the table. On which day of the week is the combined total of Ben and Jason's TV viewing the greatest?

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Possible Answers:

Saturday

Sunday

Thursday

Friday

Correct answer:

Sunday

Explanation:

On Sundays, Ben and Jason watch a total of 5.9 hours of TV:

They watch less TV on all other days: On Saturdays they watch 5.7 hours, on Fridays they watch 4.5 hours, and on Thursdays they watch 2.4 hours.

Example Question #3 : Tables

Below is the list of candidates for Student Council president, along with the number of votes each won:

What percent of the votes (nearest whole number) were won by the third-place finisher?

Possible Answers:

Correct answer:

Explanation:

Third place was won by Harris, who won 64 out of  votes. To rewrite this as a percent, solve this proportion statement for  :

Example Question #3 : How To Find The Answer From A Table

Graph

The above circle graph shows the results of a school election. According to the rules, the election falls to the student who wins the majority of the votes; if no student wins a majority, the top two vote-getters will face each other in a runoff, with the winner being elected.

Which of the following is the result of this election?

Possible Answers:

None of the other choices is correct.

Phelps won the election outright.

Phelps, Creighton, and Wells will face one another in a runoff.

Phelps and Creighton will face each other in a runoff.

Phelps and Wells will face each other in a runoff.

Correct answer:

Phelps and Creighton will face each other in a runoff.

Explanation:

Since each of the six portions of the graph takes up less than half, no one won a majority. Therefore, there will be a runoff. The two largest portions are light blue (Phelps) and orange (Creighton), so Phelps and Creighton got the most and second-most votes, and they will face each other in a runoff.

Example Question #11 : How To Find The Answer From A Table

Graph

The above circle graph shows the results of a school election. According to the rules, the office of President falls to the student who wins the most votes, and the office of Vice-President falls to the student who finishes second. A runoff only happens in case of a tie.

Which of the following is the result of this election?

Possible Answers:

Phelps and Creighton will face each other in a runoff to determine which will be President and which will be Vice-President.

Phelps was elected President; Creighton and Wells will face each other in a runoff to determine who will be Vice-President.

Phelps and Wells will face each other in a runoff to determine which will be President and which will be Vice-President.

Phelps was elected President and Wells was elected Vice-President.

Phelps was elected President and Creighton was elected Vice-President.

Correct answer:

Phelps was elected President and Creighton was elected Vice-President.

Explanation:

The two largest portions of the pie graph are light blue (Phelps) and orange (Creighton); Phelps got the most votes and Creighton got the second-most. Therefore, Phelps was elected President and Creighton was elected Vice-President - there will be no runoffs.

Example Question #11 : How To Find The Answer From A Table

Graph

The above circle graph shows the results of a school election. According to the rules, the office of President falls to the student who wins the most votes; the office of Vice-President falls to the student who finishes second; the office of Secretary-Treasurer falls to the student who finishes third. A runoff only happens in case of a tie.

Which candidate was elected Secretary-Treasurer?

Possible Answers:

Wells was elected Secretary-Treasurer.

Hawley was elected Secretary-Treasurer.

Wells and Hawley will face each other in a runoff.

Creighton was elected Secretary-Treasurer.

Wells and Creighton will face each other in a runoff.

Correct answer:

Wells was elected Secretary-Treasurer.

Explanation:

The third-largest portion of the circle graph is gray, which, according to the legend, corresponds to Wells's share of the vote. Wells was elected Secretary-Treasurer outright.

Example Question #1 : How To Find The Answer From A Table

Below is a table that gives the population of Washington City for six census years.

Which of the following decades saw the greatest growth in the city's population?

Possible Answers:

1960 to 1970

1980 to 1990

2000 to 2010

1970 to 1980

Correct answer:

2000 to 2010

Explanation:

For each decade, take the difference of the population of the last year and that of the first year. We can omit 1990 to 2000, as the population declined over that decade.

1960-70: 

1970-80: 

1980-90: 

2000-10: 

The greatest growth occurred between 2000 and 2010.

Example Question #1532 : Common Core Math: Grade 5

Mrs. Smith’s class made a line plot to show the amount of sugar that each student has in a given day. 


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How many students have  cups of sugar?

Possible Answers:

Correct answer:

Explanation:

Each X represents one person. There are  Xs above the  tick mark on the line plot. 

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