NJSLA Grade 6 The Number System. Practice it free.

Apply and extend previous understandings of multiplication and division to divide fractions by fractions; compute fluently with multi-digit numbers and find common factors and multiples; apply and extend previous understandings of numbers to the system of rational numbers. This Grade 6 reporting domain maps to 4 practice skills and 8 representative questions from the playable bank.

Grade 6NS4 mapped skills
What the test measures

The Number System skills

  1. 6.NS.A.1 Interpret and compute quotients of fractions and solve word problems involving division of fractions by fractions

  2. 6.NS.B.2 Fluently divide multi-digit numbers using the standard algorithm

  3. 6.NS.B.3 Fluently add, subtract, multiply, and divide multi-digit decimals

  4. 6.NS.B.4 Find the greatest common factor of two whole numbers

  5. 6.NS.B.5 Understand that positive and negative numbers are used together to describe quantities

  6. 6.NS.C.6 Understand a rational number as a point on the number line

  7. 6.NS.C.7 Understand ordering and absolute value of rational numbers

  8. 6.NS.C.8 Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane

Standards basis

New Jersey Student Learning Standards for Mathematics (NJSLS-M), aligned to Common Core State Standards for Mathematics (CCSS-M) — New Jersey

How the NJSLA reports it

NJSLA math is built on the New Jersey Student Learning Standards for Mathematics, which closely follow the Common Core domain structure and progressions. The assessment is organized by grade-level and end-of-course reporting aligned to those standards rather than by a separate proprietary framework.

Blueprint & weighting

NJDOE publishes statewide assessment administration information and grade/course coverage, but no official public math-domain weighting blueprint was located in the retrieved primary materials.

Try it now

8 free questions · 0/0 correct

Practice playeasy

Compute 0|0|.

00 is its own distance from 00, so 0=0|0| = 0.

Practice playeasy

What is 5.70×55.70 \times 5?

5.70×5=28.55.70 \times 5 = 28.5.

Practice playeasy

What is 35×16\dfrac{3}{5} \times \dfrac{1}{6}?

Multiply across: 3×15×6=330=110\dfrac{3 \times 1}{5 \times 6} = \dfrac{3}{30} = \dfrac{1}{10}.

Practice playeasy

What is the distance on the real number line from 00 to 238-\dfrac{23}{8}?

Distance from zero is absolute value: 238=238\left|-\dfrac{23}{8}\right| = \dfrac{23}{8}.

Practice playeasy

What is 1110|11 - 10|?

First compute the difference: 1110=111 - 10 = 1. Then take the absolute value: 1=1|1| = 1.

Practice playeasy

What is 7.041.687.04 - 1.68?

7.041.68=5.367.04 - 1.68 = 5.36.

Practice playeasy

What is 56÷35\dfrac{5}{6} \div \dfrac{3}{5}?

Multiply by the reciprocal: 56×53=2518=2518\dfrac{5}{6} \times \dfrac{5}{3} = \dfrac{25}{18} = \dfrac{25}{18}.

Practice playmedium

On the real number line, how many integers are strictly between 837-\dfrac{83}{7} and 674\dfrac{67}{4}?

Convert the bounds: 83711.86-\dfrac{83}{7} \approx -11.86 and 674=16.75\dfrac{67}{4} = 16.75. Strictly between means integers nn with 837<n<674-\dfrac{83}{7} < n < \dfrac{67}{4}, so nn runs from 11-11 through 1616, including 00. Count with 16(11)+116 - (-11) + 1: subtracting endpoints gives the gap between them; the +1+1 counts both 11-11 and 1616 inclusive.

Keep practicing

Turn the number system into game time.

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