OSTP Grade 11 CCRA Number and Quantity. Practice it free.

Students extend number systems and use quantities to model and solve problems. This Grade 11 CCRA reporting domain maps to 12 practice skills and 8 representative questions from the playable bank.

Grade 11 CCRA12 mapped skills
What the test measures

Number and Quantity skills

  1. properties of exponents

  2. complex numbers

  3. vector and matrix reasoning

  4. quantities and units

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 playmedium

Which expression is equivalent to 28+63+7\sqrt{28}+\sqrt{63}+\sqrt{7}?

28=27\sqrt{28}=2\sqrt{7}, 63=37\sqrt{63}=3\sqrt{7}, and 7=7\sqrt{7}=\sqrt{7}. Adding gives 27+37+7=672\sqrt{7}+3\sqrt{7}+\sqrt{7}=6\sqrt{7}.

Practice playmedium

A robotics team ordered identical battery packs and connector cables for each member. Every member received the same number of battery packs and the same number of cables. The shipment contained 5050 battery packs and 7575 cables in all. Which could be the number of members on the robotics team?

The number of team members must divide both totals evenly. The common factors of 5050 and 7575 greater than 11 are 55 and 2525. Only 2525 is listed: 50÷25=250 \div 25 = 2 packs and 75÷25=375 \div 25 = 3 cables per member.

Practice playhard

(2+5i)2=(2+5i)^{2}=

Expand: (2+5i)2=4+20i+25i2(2+5i)^{2}=4+20i+25i^{2}. Since i2=1i^{2}=-1, this is 4+20i25=21+20i.4+20i-25=-21+20i\textsf{.}

Practice playeasy

What is (2i)2(2i)^2?

(2i)2=4i2=4(1)=4(2i)^2 = 4i^2 = 4(-1) = -4.

Practice playeasy

Given i=1i = \sqrt{-1}, what is 81+25\sqrt{81} + \sqrt{-25}?

81=9\sqrt{81} = 9 and 25=5i\sqrt{-25} = 5i. So 81+25=9+5i\sqrt{81} + \sqrt{-25} = 9 + 5i.

Practice playmedium

Given that 2m62 \le m \le 6, 1n41 \le n \le 4, and 5p105 \le p \le 10, what is the least possible value of m+np\dfrac{m + n}{p}?

Minimize the numerator with m=2m = 2 and n=1n = 1, and maximize the denominator with p=10p = 10: 2+110=310\dfrac{2 + 1}{10} = \dfrac{3}{10}.

Practice playeasy

The school band practices every 66 school days, and the drama club meets every 99 school days. Both groups met today. In how many school days will they next meet on the same day?

The next shared meeting day is the least common multiple of 66 and 9.9\textsf{.} Since the GCF of 66 and 99 is 3,3\textsf{,} divide their product by the GCF: 6×93=18.\dfrac{6 \times 9}{3}=18\textsf{.} So they meet together again in 1818 school days.

Practice playeasy

If x\Large x and y\Large y are positive, which expression is equivalent to x10y8\Large \sqrt{x^{10} y^8}?

A square root divides each exponent by 2\Large 2: x102y82=x5y4\Large x^{\tfrac{10}{2}} y^{\tfrac{8}{2}} = x^5 y^4.

Keep practicing

Turn number and quantity into game time.

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