SC READY Grade 8 Data, Probability, and Statistical Reasoning Practice

Data, Probability, and Statistical Reasoning skills

8.DPSR.1.1 to 1.4

8.DPSR.2.1 to 2.2

Standards basis

2025 South Carolina College- and Career-Ready Mathematics Standards — South Carolina

How the SC READY reports it

SC READY is South Carolina’s state assessment program and does not use a national blueprinted framework like SBAC or NAEP. Its math tests are aligned to the 2025 South Carolina College- and Career-Ready Mathematics Standards and organized into state-specific reporting categories.

Blueprint & weighting

The blueprint publishes approximate item-count ranges by reporting category, not percentages. Grade 3: DPSR 7-10, MGSR 15-18, NR 15-18, PAFR 9-13; Grade 4: DPSR 7-9, MGSR 12-15, NR 12-15, PAFR 15-19; Grade 5: DPSR 8-10, MGSR 11-14, NR 9-11, PAFR 17-21; Grade 6: DPSR 9-11, MGSR 11-14, NR 7-9, PAFR 18-21; Grade 7: DPSR 11-14, MGSR 13-17, NR 6-8, PAFR 14-18; Grade 8: DPSR 8-10, MGSR 15-19, NR 7-9, PAFR 14-18. All grades are 50 operational items, with additional field-test items; DOK ranges are 15-40% level 1, 55-85% level 2, and 0-10% level 3.

Official sources

South Carolina Department of Education SC READY page
South Carolina Department of Education Test Blueprints
SC READY Mathematics Grades 3-5 Test Blueprint (2025-26)

8 free questions · 0/0 correct

Practice playeasy

Mia can pick from $5$ shirts and $2$ hats. How many different (shirt, hat) outfits are possible?

By the counting principle: $5 \times 2 = 10$ .

Practice playeasy

Spinner A has $5$ equal sections and exactly $1$ section is gold. Spinner B has $4$ equal sections and exactly $1$ section is gold. Each spinner is spun once. What is the probability that both spinners land on gold?

$P(\text{gold on A}) = \dfrac{1}{5}$ and $P(\text{gold on B}) = \dfrac{1}{4}$ . So $P(\text{both gold}) = \dfrac{1}{5} \times \dfrac{1}{4} = \dfrac{1}{20}$ .

Practice playeasy

A trend line predicts that a bakery will sell $75$ bagels on Monday. The bakery actually sells $79$ bagels. What is the residual (actual value minus predicted value)?

Residual $=$ actual $-$ predicted $= 79 - 75 = 4$ .

Practice playeasy

For two independent events, the probability of a head then a 4: $P(A)=\tfrac{1}{2}$ , $P(B)=\tfrac{1}{6}$ . Find $P(A \text{ and } B)$ as a simplified fraction.

Multiply: $P(A \text{ and } B) = \tfrac{1}{2} \times \tfrac{1}{6} = \tfrac{1}{12}$ .

Practice playmedium

A standard six-sided number cube is rolled twice. What is the probability of rolling a $4$ on the first roll and an even number on the second roll?

$P(4\text{ on first roll}) = \dfrac{1}{6}$ and $P(\text{even on second roll}) = \dfrac{3}{6} = \dfrac{1}{2}$ . So $P(\text{both}) = \dfrac{1}{6} \times \dfrac{1}{2} = \dfrac{1}{12}$ .

Practice playeasy

A line of best fit relating hours of practice $x$ to free throws made $y$ is $y = 6x + 10$ . According to the line, each additional hour of practice adds about how many free throws?

The slope of $y = 6x + 10$ is $6$ : the predicted change in free throws for each extra hour of practice.

Practice playeasy

Two fair coins are tossed. What is the probability of getting exactly one head?

The sample space is HH, HT, TH, TT. Exactly one head appears in $2$ of the $4$ equally likely outcomes: $\dfrac{2}{4} = \dfrac{1}{2}$ .

Practice playmedium

A bag contains $4$ red marbles and $6$ 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: $P(\text{red}) = \dfrac{4}{10} = \dfrac{2}{5}$ . So $P(\text{both red}) = \dfrac{2}{5} \times \dfrac{2}{5} = \dfrac{4}{25}$ .