OSTP Grades 6-8 The Number System. Practice it free.

Students apply and extend previous understandings of numbers to the system of rational numbers. This Grades 6-8 reporting domain maps to 8 practice skills and 8 representative questions from the playable bank.

Grades 6-88 mapped skills
What the test measures

The Number System skills

  1. ratios and rates

  2. fractions divided by fractions

  3. negative numbers

  4. rational number arithmetic

  5. scientific notation

Standards basis

2022 Oklahoma Academic Standards for Mathematics (OAS-M) — Oklahoma

How the OSTP reports it

Oklahoma’s OSTP math is built on the 2022 Oklahoma Academic Standards for Mathematics rather than a national shared blueprint. The state math standards page notes that Statistics & Probability and Precalculus were added in the 2022 revision, and Precalculus includes a Trigonometry strand.

Blueprint & weighting

OSTP 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 playmedium

Let f(t)=4e3t+200f(t) = 4e^{3t} + 200. Which of the following approximations, written as a×10na \times 10^n with one significant digit, is closest to the value of f(3)f(3)?

Substitute t=3t = 3: f(3)=4e9+200f(3) = 4e^{9} + 200. Since e98,103e^{9} \approx 8{,}103, f(3)4(8,103)+200=32,6123×104f(3) \approx 4(8{,}103) + 200 = 32{,}612 \approx 3 \times 10^{4}.

Practice playeasy

What is (10)×6(-10) \times 6?

Result: 60-60.

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 3.2×1043.2 \times 10^4 in standard form?

3.2×104=32,0003.2 \times 10^4 = 32{,}000.

Practice playmedium

6.3×1042.1×109=\dfrac{6.3 \times 10^{-4}}{2.1 \times 10^{-9}}=

Divide coefficients and subtract exponents: 6.3÷2.1=36.3 \div 2.1 = 3 and 4(9)=5-4-(-9)=5. So the quotient is 3×105.3 \times 10^{5}\textsf{.}

Keep practicing

Turn the number system into game time.

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