ACT Aspire Preparing for Higher Math. Practice it free.

Measures the math knowledge and skills needed for higher-level mathematics coursework, emphasizing conceptual understanding, procedures, applications, and analysis. This All grades reporting domain maps to 182 practice skills and 8 representative questions from the playable bank.

Grades 3-10182 mapped skills
What the test measures

Preparing for Higher Math skills

  1. Number and Quantity

  2. Algebra

  3. Functions

  4. Geometry

  5. Statistics and Probability

Standards basis

ACT College and Career Readiness Standards / ACT Aspire-linked grade-level academic standards — national

How the ACT Aspire reports it

ACT Aspire is ACT’s own summative college- and career-readiness assessment system, not a Smarter Balanced- or SAT-style shared framework. The official ACT Aspire overview page did not expose a public math blueprint or item-domain document, so the coverage map is based on ACT Aspire’s published ACT-style reporting categories and the test’s own standards alignment rather than a separate CCSS-style blueprint.

Blueprint & weighting

ACT Aspire uses the Independent / state-specific framework (fixed domains structure).

Try it now

8 free questions · 0/0 correct

Practice playeasy

The table shows quiz scores and how many students earned each score.
Quiz scoreNumber of students622683745803863\begin{array}{c|c} \text{Quiz score} & \text{Number of students} \\ \hline 62 & 2 \\ 68 & 3 \\ 74 & 5 \\ 80 & 3 \\ 86 & 3 \end{array}

What is the median quiz score?

There are 1616 scores. Listing every score from least to greatest, the 88th and 99th values are both 7474, so the median is 7474.

Practice playeasy

A runner logs five lap times, in seconds: 1818, 2020, 2222, 2424, and 2626. A sixth lap time of 1616 seconds is added to the data set. How does this affect the mean?

The mean of the original five times is 18+20+22+24+265=22\dfrac{18+20+22+24+26}{5}=22 seconds. Because 16<2216<22, adding 1616 pulls the mean down.

Practice playeasy

Seven game scores are 14,14\textsf{,} 18,18\textsf{,} 10,10\textsf{,} 20,20\textsf{,} 12,12\textsf{,} 15,15\textsf{,} and 23.23\textsf{.} What is the mean score?

Mean =14+18+10+20+12+15+237=1127=16= \dfrac{14 + 18 + 10 + 20 + 12 + 15 + 23}{7} = \dfrac{112}{7} = 16.

Practice playeasy

Find the mean of the data set 3, 8, 10.

Mean =3+8+103=7= \dfrac{3+8+10}{3} = 7.

Practice playeasy

The practice times, in minutes, for five days are 35,35\textsf{,} 15,15\textsf{,} 20,20\textsf{,} 40,40\textsf{,} and 25.25\textsf{.} What is the median practice time?

In order, the values are 15,15\textsf{,} 20,20\textsf{,} 25,25\textsf{,} 35,35\textsf{,} 40.40\textsf{.} The median is the middle value, 25.25\textsf{.}

Practice playeasy

x6=18|x - 6| = 18

Which of the following gives both solutions to the given equation?

The equation means x6=18x - 6 = 18 or x6=18x - 6 = -18. So x=24x = 24 or x=12x = -12. Both solutions are 12-12 and 24.24\textsf{.}

Practice playeasy

If x7=15|x - 7| = 15, what is the positive value of xx?

Either x7=15x - 7 = 15, giving x=22x = 22, or x7=15x - 7 = -15, giving x=8x = -8. The positive value of xx is 22.22\textsf{.}

Practice playmedium

A botanical garden is divided into four planted areas. Exactly 14\dfrac{1}{4} of the garden is vegetables, exactly 15\dfrac{1}{5} is flowers, 4848 square meters are herbs, and 4040 square meters are fruit trees. How many square meters are in the entire garden?

Let xx be the total area. Vegetables and flowers cover 14x+15x=920x\dfrac{1}{4}x + \dfrac{1}{5}x = \dfrac{9}{20}x. The herbs and fruit trees cover 48+40=8848 + 40 = 88 square meters, so 1120x=88\dfrac{11}{20}x = 88 and x=160x = 160.

Keep practicing

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