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 840 questions
Try it now

8 free questions · 0/0 correct

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.

Practice playeasy

What integer is closest to 83\sqrt{83}?

92=819^2 = 81 is very close to 8383 and 83≈9.1\sqrt{83} \approx 9.1, so the closest integer is 99.

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

Between which two consecutive integers does 40\sqrt{40} lie?

62=366^{2} = 36 and 72=49.7^{2} = 49\textsf{.} Since 36<40<49,36 < 40 < 49\textsf{,} 40\sqrt{40} is between 66 and 7.7\textsf{.}

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 →