ATLAS Grade 7 Statistics and Probability. Practice it free.

Uses random sampling to draw inferences about a population and investigates probability. This Grade 7 reporting domain maps to 7 practice skills and 8 representative questions from the playable bank.

Grade 77 mapped skills
What the test measures

Statistics and Probability skills

  1. Use random sampling to draw inferences about a population

  2. Draw informal comparative inferences about two populations

  3. Investigate chance processes and develop, use, and evaluate probability models

  4. Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation

Standards basis

Arkansas Academic Standards for Mathematics (CCSS-M–aligned / Arkansas-adopted math standards) — Arkansas

How the ATLAS reports it

Arkansas’s statewide assessment system is ATLAS, which the ADE page says began serving in spring 2024. The official public page does not publish a math blueprint there, so the most defensible coverage map is the Arkansas math standards structure that ATLAS is aligned to.

Blueprint & weighting

ATLAS uses the Independent / state-specific framework (by grade domains structure).

Try it now

8 free questions · 0/0 correct

Practice playeasy

Two fair coins are flipped. How many outcomes are in the sample space?

Each coin has 22 outcomes, so the sample space has 2×2=42 \times 2 = 4 outcomes: HH, HT, TH, TT.

Practice playmedium

A bag contains 44 red marbles and 66 blue marbles. One marble is drawn at random, its color is recorded, and it is placed back in the bag. A second marble is then drawn at random. What is the probability that both marbles are red?

With replacement, each draw is independent: P(red)=410=25P(\text{red}) = \dfrac{4}{10} = \dfrac{2}{5}. So P(both red)=25×25=425P(\text{both red}) = \dfrac{2}{5} \times \dfrac{2}{5} = \dfrac{4}{25}.

Practice playmedium

A school raffle has 5050 identical tickets sold. Maya buys 55 of the tickets. One winning ticket is drawn at random. What is the probability that Maya wins?

Maya holds 55 of the 5050 tickets, so P(Maya wins)=550=110P(\text{Maya wins}) = \dfrac{5}{50} = \dfrac{1}{10}.

Practice playeasy

Each letter of the word EQUATION is written on a separate card, and one card is drawn at random. What is the probability the letter is not a vowel?

EQUATION has 88 letters, and 33 of them (Q,T,NQ, T, N) are consonants, so P=38P = \dfrac{3}{8}.

Practice playeasy

The whole numbers 11 through 3030 were each written on separate pieces of paper. Those 3030 pieces were placed in a bowl. One piece will be randomly drawn from this bowl. What is the probability that the piece will show a composite number?

Composite numbers from 11 to 3030 exclude 11 (neither prime nor composite) and the 1010 primes (including 22, the only even prime), leaving 1919 favorable outcomes: P=1930P = \tfrac{19}{30}.

Practice playeasy

What is the probability of drawing a red ball from 2 red and 3 blue? Give a simplified fraction.

P=favorabletotal=25=25P = \dfrac{\text{favorable}}{\text{total}} = \dfrac{2}{5} = \dfrac{2}{5}.

Practice playeasy

In a random sample of 50, 15 were defective bulbs. Estimate how many of 400 are defective in the whole population.

Proportion =1550= \dfrac{15}{50}. Estimate =1550×400=120= \dfrac{15}{50} \times 400 = 120.

Practice playeasy

For two independent events, the probability of rolling two 6's: P(A)=16P(A)=\tfrac{1}{6}, P(B)=16P(B)=\tfrac{1}{6}. Find P(A and B)P(A \text{ and } B) as a simplified fraction.

Multiply: P(A and B)=16×16=136P(A \text{ and } B) = \tfrac{1}{6} \times \tfrac{1}{6} = \tfrac{1}{36}.

Keep practicing

Turn statistics and probability into game time.

The ATLAS placement starts with this test's real coverage map and finds the right difficulty.