Sampling and Representative Samples Worksheets, Grade 7 (7.SP.A.1) – Free PDF + Answer Key

First page of the sampling and representative samples practice worksheet

Download free

PDFs print on US Letter paper. Free for classroom and home use.

Step-by-step math videos on the Math With Mr DJ YouTube channel →

Key idea

A sample is representative when every member of the population had a fair chance of being selected. Random selection produces that. Bias means some group is systematically over- or under-represented — and a bigger sample does not remove it.

Sample problems

A school has 600 students and 30 are surveyed. What percentage of the school is that?
If 60 are surveyed instead, what percentage is that?
A survey about sport is given only to members of the football team. Is it representative? Why?
A survey is given to the teacher's own class. Is it representative of the school? Why?

Common mistakes to watch for

Said no because not everyone is asked. A sample never asks everyone — that is what makes it a sample.
Said yes because the students were not chosen deliberately. Not choosing on purpose is not the same as choosing randomly — the location did the selecting.
Said no because it is not literally random. It gives every part of the population a fair chance, which is what matters.

The answer key explains each one, so you can tell what a wrong answer means.

How to use this set

Teach with the slides (about 15 minutes), or watch the video together.
Practice with the worksheet. Questions climb from fluency to application to reasoning.
Check understanding with the exit ticket, and send the homework home.
Mark with the answer key — each answer shows the steps and the most likely mistake.