7th grade statistics and probability

Question 1

What is the probability that a die shows a 6 2 times in a row?

Answer (as a fraction)

Question 2

The probability of winning a game is 9/12. What is the probability of not winning? Give a fraction in simplest form.

Answer (as a fraction)

Question 3

Scientists tag 38 fish in a lake and release them. Later they catch 40 fish and 9 are tagged. Estimate the number of fish in the lake (nearest whole number).

Answer 

Question 4

Leo flips a coin 20 times and Ethan flips it 2000 times. Whose proportion of heads is likely to be closer to 0.5?

• A. Both will be exactly 0.5
• B. Leo
• C. Ethan

Question 5

A pie chart shows how 40 students travel to school. The sector for "bus" has an angle of 45°. How many students travel by bus?

Answer 

Question 6

Which of these could NOT be a probability?

• A. 45%
• B. 0
• C. 1.2
• D. 0.05

Question 7

Minutes of daily reading. Kofi's group: 11, 11, 19, 13, 13, 28, 10. Arjun's group: 23, 22, 28, 25, 22, 36, 22. Using medians, which group typically reads for longer?

• A. Kofi's group
• B. Arjun's group
• C. They are the same

Question 8

6 friends line up for a photo. In how many different orders can they stand?

Answer 

Question 9

Ethan has 4 T-shirts, 2 pairs of trousers and 3 pairs of trainers. How many different outfits (one of each) can Ethan make?

Answer 

Question 10

In a random sample of 20 students, 9 said they walk to school. There are 220 students in the school. Estimate how many walk to school.

Answer 

Question 11

To find how much students read, a teacher asks only the book club. Is this sample likely to be biased?

• A. Yes, biased
• B. No, fair

Question 12

Two fair dice are rolled and the scores added. What is the probability the total is 11? Give a fraction in simplest form.

Answer (as a fraction)

Question 13

A fair coin is flipped and a fair die is rolled. What is the probability of getting tails and a number greater than 4?

Answer (as a fraction)

Question 14

The probability that it rains tomorrow is 0.17. What is the probability that it does NOT rain?

Answer 

Question 15

In a survey of 90 people, 1 chose Dogs. What angle does Dogs get on a pie chart, in degrees?

Answer 

Question 16

Kwame flips a drawing pin 100 times. It lands point up 3 times. What is the relative frequency of landing point up? Give a fraction in simplest form.

Answer (as a fraction)