SC READY Grade 8 Numerical Reasoning. Practice it free.

Translate among multiple representations of rational numbers; utilize rational numbers in mathematical and real-world situations. This Grade 8 reporting domain maps to 1 practice skill and 8 representative questions from the playable bank.

Grade 8NR1 mapped skills
What the test measures

Numerical Reasoning skills

  1. 8.NR.1.1

  2. 8.NR.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.

Practice by skill

Topics mapped to this domain

Irrational number approximations

Grade 820 questions
Try it now

8 free questions · 0/0 correct

Practice playeasy

What integer is closest to 120\sqrt{120}?

112=12111^2 = 121 sits right above 120120 and 120≈10.95\sqrt{120} \approx 10.95, so the closest integer is 1111.

Practice playeasy

What is the integer part of 10+2\sqrt{10} + 2?

10≈3.16\sqrt{10} \approx 3.16, so 10+2≈5.16\sqrt{10} + 2 \approx 5.16; the integer part is 55.

Practice playeasy

Which is closest to π\pi?

π≈3.14159\pi \approx 3.14159.

Practice playeasy

Which is closest to 2\sqrt{2}?

2≈1.414\sqrt{2} \approx 1.414.

Practice playeasy

Which is closest to 3\sqrt{3}?

3≈1.732\sqrt{3} \approx 1.732.

Practice playeasy

Which is closest to 5\sqrt{5}?

5≈2.236\sqrt{5} \approx 2.236.

Practice playeasy

40\sqrt{40} is between two consecutive integers. Enter the smaller one.

62=36<40<49=726^2 = 36 < 40 < 49 = 7^2, so 40\sqrt{40} is between 66 and 77; the smaller is 66.

Practice playeasy

27\sqrt{27} lies between two consecutive integers. Enter the larger one.

52=25<27<36=625^2 = 25 < 27 < 36 = 6^2, so 27\sqrt{27} is between 55 and 66; the larger is 66.

Keep practicing

Turn numerical reasoning into game time.

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

Batting Cage game coverBatting CagePlay →Blaster Gate game coverBlaster GatePlay →Blitz Tanks game coverBlitz TanksPlay →Buzzer Beater game coverBuzzer BeaterPlay →
Related Common Core standards
8.NS.A.2
Numerical Reasoning in other SC READY grades
Grade 3Grade 4Grade 5Grade 6Grade 7
Source and test overview
All SC READY prepOfficial test source
Reporting categories

More Grade 8 domains

Data, Probability, and Statistical ReasoningAnalyze data sets to identify their statistical elements.8 QsPractice →Measurement, Geometry, and Spatial ReasoningDetermine the measurements of geometric figures; determine angle and/or side relationships; graph on a coordinate plane.8 QsPractice →Patterns, Algebra, and Functional ReasoningDetermine if a table, graph, verbal description, or equation represents a function and describe its characteristics; write, simplify, and evaluate algebraic expressions; write and solve algebraic equations and inequalities; apply mathematical patterns, properties, and algorithms to the set of rational numbers to find sums, differences, products, and quotients and to write equivalent expressions.8 QsPractice →