SAT Math · Topic practice · SAT Math · Unit 3

Problem-Solving & Data Analysis

A mixed exercise set, like a textbook: every problem type this unit covers, shuffled together and getting harder as you go. Work on paper, reveal to check — and hit on any problem for the same kind with new numbers (232 in the pool).

Practice set — quiz with instant feedback and retries.Review the lessons for this unit first.

Exercises

14 of 232 shown

Exactly $15\%$ of the $240$ students at a school satisfy a condition. How many is that?

A drawer holds red and blue pens in the ratio $2 : 3$ , and there are $20$ pens in total. How many pens are in the LARGER group?

The mean of $4$ numbers is $10$ . After one more number is included, the mean of all $5$ numbers is $13$ . What number was included?

A train travels at a constant $24$ miles per hour. How many miles does it travel in $15$ minutes?

A data set consists of the values $2,\ 3,\ 4,\ 5,\ 26$ . If the largest value is removed, which statement is true?

In one class of $10$ students the mean score was $60$ ; in another class of $5$ students it was $75$ . What was the mean score of all $15$ students combined?

In a survey, $12$ seniors and $6$ juniors preferred plan X, while $8$ seniors and $12$ juniors preferred plan Y. If a surveyed student who preferred plan X is chosen at random, what is the probability that the student is a senior?

Exactly $25\%$ of the $480$ students at a school satisfy a condition. How many is that?

A drawer holds red and blue pens in the ratio $2 : 5$ , and there are $42$ pens in total. How many pens are in the LARGER group?

10.

The mean of $6$ numbers is $18$ . After one more number is included, the mean of all $7$ numbers is $21$ . What number was included?

11.

A train travels at a constant $48$ miles per hour. How many miles does it travel in $15$ minutes?

12.

A data set consists of the values $5,\ 6,\ 7,\ 8,\ 35$ . If the largest value is removed, which statement is true?

13.

In one class of $10$ students the mean score was $70$ ; in another class of $20$ students it was $85$ . What was the mean score of all $30$ students combined?

14.

In a survey, $12$ seniors and $16$ juniors preferred plan X, while $11$ seniors and $15$ juniors preferred plan Y. If a surveyed student who preferred plan X is chosen at random, what is the probability that the student is a senior?