NH SAS Grade 6 The Number System. Practice it free.

Applies and extends knowledge of fractions to rational numbers and operations on them. This Grade 6 reporting domain maps to 4 practice skills and 8 representative questions from the playable bank.

Grade 64 mapped skills
What the test measures

The Number System skills

  1. Apply and extend previous understandings of multiplication and division to divide fractions by fractions

  2. Compute fluently with multi-digit numbers and find common factors and multiples

  3. Apply and extend previous understandings of numbers to the system of rational numbers

  4. Understand ordering and absolute value of rational numbers and plot them on a number line

Standards basis

Common Core State Standards for Mathematics (CCSS-M) / New Hampshire mathematics standards — New Hampshire

How the NH SAS reports it

New Hampshire SAS is the state assessment system, but the official math reporting structure was not accessible from the state page in this session. In practice, New Hampshire’s math assessments are aligned to the state’s K-12 mathematics standards, which closely mirror Common Core grade-level domains and clusters.

Blueprint & weighting

Not published in the accessible source set used here.

Try it now

8 free questions · 0/0 correct

Practice playeasy

What is 3|-3|?

Absolute value gives the non-negative distance from 00, so 3=3|-3| = 3.

Practice playeasy

Which of the following values lies strictly between 194-\dfrac{19}{4} and 112\dfrac{11}{2} on the real number line?

The interval is open: 194=4.75-\dfrac{19}{4} = -4.75 and 112=5.5\dfrac{11}{2} = 5.5, so values must satisfy 4.75<x<5.5-4.75 < x < 5.5. Check each choice: 5<4.75-5 < -4.75 (outside), 4-4 is between the bounds, 112\dfrac{11}{2} equals the upper endpoint (not strict), and 194-\dfrac{19}{4} equals the lower endpoint (not strict).

Practice playeasy

What is 3.35+6.753.35 + 6.75?

3.35+6.75=10.13.35 + 6.75 = 10.1.

Practice playeasy

What is 36×67\dfrac{3}{6} \times \dfrac{6}{7}?

Multiply across: 3×66×7=1842=37\dfrac{3 \times 6}{6 \times 7} = \dfrac{18}{42} = \dfrac{3}{7}.

Practice playeasy

What is 17|17|?

The absolute value of a non-negative number is itself: 17=17|17| = 17.

Practice playeasy

Which value is greatest on the real number line?

Compare positions: 95=1.8\dfrac{9}{5} = 1.8, 230.67-\dfrac{2}{3} \approx -0.67, 58=0.625\dfrac{5}{8} = 0.625, and 7120.58-\dfrac{7}{12} \approx -0.58. The greatest is 95\dfrac{9}{5}.

Practice playeasy

What is 28.7÷728.7 \div 7?

Result: 4.14.1.

Practice playeasy

What is 37÷37\dfrac{3}{7} \div \dfrac{3}{7}?

Multiply by the reciprocal: 37×73=2121=11\dfrac{3}{7} \times \dfrac{7}{3} = \dfrac{21}{21} = \dfrac{1}{1}.

Keep practicing

Turn the number system into game time.

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