KAP Grade 6 The Number System. Practice it free.

Applies understanding of fractions, decimals, and signed numbers to extend the number system. 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. Divide fractions by fractions

  2. Compute fluently with multi-digit decimals and fractions

  3. Understand positive and negative numbers on a number line

  4. Find and position integers and rational numbers on a number line

  5. Interpret and compare absolute value and order rational numbers

Standards basis

Kansas College and Career Ready Standards for Mathematics (CCRS-M), closely aligned to Common Core State Standards for Mathematics (CCSS-M) — Kansas

How the KAP reports it

Kansas Assessment Program appears to be a state assessment program rather than a vendor framework like Smarter Balanced or PARCC. The public KAP site did not expose a math blueprint or reporting-category document in the pages I could access, so the safest official mapping is to the state's adopted mathematics standards structure that the assessment is built to.

Blueprint & weighting

KAP uses the Independent / state-specific framework (by grade domains structure).

Try it now

8 free questions · 0/0 correct

Practice playeasy

What is 2|-2|?

Absolute value gives the non-negative distance from 00, so 2=2|-2| = 2.

Practice playeasy

What is 7.00+1.627.00 + 1.62?

7.00+1.62=8.627.00 + 1.62 = 8.62.

Practice playeasy

What is 36×58\dfrac{3}{6} \times \dfrac{5}{8}?

Multiply across: 3×56×8=1548=516\dfrac{3 \times 5}{6 \times 8} = \dfrac{15}{48} = \dfrac{5}{16}.

Practice playmedium

On the real number line, how many integers are strictly between 915-\dfrac{91}{5} and 124-\dfrac{12}{4}?

Convert: 915=18.2-\dfrac{91}{5} = -18.2 and 124=3-\dfrac{12}{4} = -3. Integers nn with 18.2<n<3-18.2 < n < -3 are 18,17,,4-18, -17, \ldots, -4. Count with 4(18)+1-4 - (-18) + 1: subtracting endpoints gives the gap between them; the +1+1 counts both 18-18 and 4-4 inclusive.

Practice playeasy

What is 8|8|?

The absolute value of a non-negative number is itself: 8=8|8| = 8.

Practice playeasy

What is 9.6÷69.6 \div 6?

Result: 1.61.6.

Practice playeasy

What is 39÷58\dfrac{3}{9} \div \dfrac{5}{8}?

Multiply by the reciprocal: 39×85=2445=815\dfrac{3}{9} \times \dfrac{8}{5} = \dfrac{24}{45} = \dfrac{8}{15}.

Practice playmedium

On the real number line, how many integers are strictly between 73\dfrac{7}{3} and 475\dfrac{47}{5}?

Convert: 732.33\dfrac{7}{3} \approx 2.33 and 475=9.4\dfrac{47}{5} = 9.4. Integers nn with 2.33<n<9.42.33 < n < 9.4 are 3,4,5,6,7,8,93, 4, 5, 6, 7, 8, 9. Count with 93+19 - 3 + 1: subtracting endpoints gives the gap between them; the +1+1 counts both 33 and 99 inclusive.

Keep practicing

Turn the number system into game time.

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