NH SAS Grade 8 Statistics and Probability Practice

What the test measures

Statistics and Probability skills

Construct and interpret scatter plots
Use linear models to describe bivariate data
Analyze patterns of association in bivariate data
Investigate simple experiments and assess probabilities

Standards basis

Common Core State Standards for Mathematics (CCSS-M) / New Hampshire mathematics standards — New Hampshire

How the NH SAS reports it

New Hampshire SAS is the state assessment system, but the official math reporting structure was not accessible from the state page in this session. In practice, New Hampshire’s math assessments are aligned to the state’s K-12 mathematics standards, which closely mirror Common Core grade-level domains and clusters.

Blueprint & weighting

Not published in the accessible source set used here.

Official sources

New Hampshire Department of Education – Assessments
Common Core State Standards for Mathematics
CCSS-M Grade 3 (Oregon ODE reprint)

Practice by skill

Topics mapped to this domain

Try it now

8 free questions · 0/0 correct

Practice playeasy

A standard six-sided number cube is rolled once. What is the probability of rolling an odd number?

The odd faces are $1$ , $3$ , and $5$ , so $P(\text{odd}) = \dfrac{3}{6} = \dfrac{1}{2}$ .

Practice playeasy

A spinner has $5$ equal sections: $1$ red, $2$ blue, and $2$ green. What is the probability the spinner does not land on red?

Four of the five equal sections are not red, so $P = \dfrac{4}{5}$ .

Practice playeasy

The whole numbers $1$ through $36$ were each written on separate cards. Those $36$ cards were placed in a bag. One card will be randomly drawn from this bag. What is the probability that the card will show a two-digit number?

Two-digit numbers from $1$ to $36$ are $10$ through $36$ , giving $27$ favorable outcomes: $P = \tfrac{27}{36} = \tfrac{3}{4}$ .

Practice playeasy

What is the probability of flipping heads on a coin? Give a simplified fraction.

$P = \dfrac{\text{favorable}}{\text{total}} = \dfrac{1}{2} = \dfrac{1}{2}$ .

Practice playeasy

A meal has 3 mains and 4 sides. How many different (main, side) combinations are possible?

By the multiplication principle: $3 \times 4 = 12$ .

Practice playeasy

A trend line for miles jogged $x$ and calories burned $y$ is $y = 90x + 20$ . How many calories does the line predict for a $4$ -mile jog?

$y = 90(4) + 20 = 360 + 20 = 380$ calories.

Practice playeasy

Two fair coins are flipped. What is the probability that both coins show heads?

$P(\text{heads on one coin}) = \dfrac{1}{2}$ . For two independent flips, $P(\text{both heads}) = \dfrac{1}{2} \times \dfrac{1}{2} = \dfrac{1}{4}$ .

Practice playeasy

A two-way table has rows Chess/Art and columns 7th/8th: Chess&7th=9, Art&7th=4, Art&8th=11. The Chess row total is 15. How many students are Chess&8th?