Digital ACT Practice Questions
Access 177 official-caliber practice questions. Filter by subject or difficulty to pinpoint your cognitive blind spots.
What is the complex quotient \(\frac{4 + 2i}{1 - i}\), where \(i = \sqrt{-1}\)?...
The third term of a geometric sequence is 18 and the sixth term is 486. What is the first term of this sequence?...
A research committee of 4 scientists is to be formed from a department containing 6 chemists and 5 physicists. If the committee must consist of exactly 2 chemis...
An ellipse is defined by the Cartesian equation \(\frac{x^2}{25} + \frac{y^2}{16} = 1\). What is the distance between its two foci?...
For what value of k does the matrix [[2, k], [3, 12]] have a determinant equal to 0?...
For what value of k does the matrix [[4, k], [5, 20]] have a determinant equal to 0?...
For what value of k does the matrix [[3, k], [2, 18]] have a determinant equal to 0?...
For what value of k does the matrix [[5, 15], [2, k]] have a determinant equal to 0?...
For what value of k does the matrix [[6, 18], [4, k]] have a determinant equal to 0?...
For what value of k does the matrix [[k, 4], [9, 6]] have a determinant equal to 0?...
For what value of k does the matrix [[k, 8], [3, 12]] have a determinant equal to 0?...
For what value of k does the matrix [[7, k], [2, 14]] have a determinant equal to 0?...
For what value of k does the matrix [[8, 24], [3, k]] have a determinant equal to 0?...
For what value of k does the matrix [[k, 5], [20, 4]] have a determinant equal to 0?...
For what value of k does the matrix [[3, 9], [k, 15]] have a determinant equal to 0?...
For what value of k does the matrix [[4, 16], [k, 20]] have a determinant equal to 0?...
What is the resulting matrix product of [[2, 3], [1, 4]] * [[3], [2]]?...
What is the resulting matrix product of [[1, -2], [3, 5]] * [[4], [1]]?...
What is the resulting matrix product of [[3, 1], [2, -1]] * [[2], [5]]?...
What is the resulting matrix product of [[4, 0], [1, 3]] * [[3], [2]]?...
What is the resulting matrix product of [[2, 5], [-1, 3]] * [[4], [1]]?...
What is the resulting matrix product of [[5, 2], [3, 1]] * [[1], [3]]?...
Given that i = sqrt(-1), what is the value of i^47?...
Given that i = sqrt(-1), what is the value of i^62?...
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