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

A sandwich shop offers $6$ breads and $4$ fillings. How many outcomes are in the sample space of (bread, filling) sandwiches?

A tree diagram starts with $6$ branches for the breads. Each of those splits into $4$ filling branches, so the sample space has $6 \times 4 = 24\textsf{.}$

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 playeasy

Two standard six-sided dice are rolled. How many outcomes are in the sample space?

A tree diagram starts with $6$ branches for the first die. Each of those splits into $6$ branches for the second die, so the sample space has $6 \times 6 = 36\textsf{.}$

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?