Digital SAT Practice Questions
Access 462 official-caliber practice questions. Filter by subject or difficulty to pinpoint your cognitive blind spots.
An angle measures $\frac{4\pi}{3}$ radians. What is its measure in degrees?...
A circle has radius 12 inches. What is the area of a sector formed by a central angle of $\frac{\pi}{3}$ radians?...
In a circle with radius 8, an arc subtends a central angle of 2.5 radians. What is the arc length?...
A sector of a circle with radius 6 has an area of $9\pi$. What is the measure of the central angle in radians?...
How many degrees are in $\frac{7\pi}{4}$ radians?...
A wheel with radius 14 inches rotates through 3 complete revolutions. How far, in inches, does it roll?...
An arc on a circle of radius 10 has length $5\pi$. What fraction of the circumference is this arc?...
In circle $P$, an angle measuring $72^\circ$ defines a sector. What fraction of the circle's total area is this sector?...
If an arc of length 15 cm on a circle corresponds to a central angle of 3 radians, what is the circle's radius?...
In right triangle $ABC$ with right angle at $C$, $\sin A = \frac{3}{5}$. What is the value of $\cos B$?...
If $\sin(x^\circ) = \cos(42^\circ)$ in an acute angle $x$, what is the value of $x$?...
In right triangle $DEF$, angle $F = 90^\circ$, $DE = 13$, and $EF = 5$. What is $\tan D$?...
For an acute angle $\theta$, $\cos \theta = \frac{8}{17}$. What is $\sin \theta$?...
If $\tan \theta = \frac{7}{24}$ for acute angle $\theta$, what is the value of $\cos \theta$?...
A right isosceles triangle has legs of length 7. What is the length of its hypotenuse?...
In a 30-60-90 triangle, the side opposite the $60^\circ$ angle has length $6\sqrt{3}$. What is the length of the hypotenuse?...
If $\sin(2x + 10^\circ) = \cos(3x - 5^\circ)$, where both are acute angles, what is $x$?...
A 10-foot ladder leans against a wall making a $60^\circ$ angle with the ground. How high up the wall does it reach?...
In $\triangle ABC$, $\angle C = 90^\circ$ and $\cos A = 0.8$. What is $\tan A$?...
If $\tan A = 1$ in right triangle $ABC$ with right angle $C$, what is $\sin A$?...
Triangle $ABC$ is similar to triangle $DEF$, with side lengths of $DEF$ being 3 times those of $ABC$. What is the ratio of the area of $DEF$ to $ABC$?...
A right rectangular prism has volume 180 cubic inches. If its length is 6 inches and width is 5 inches, what is its height?...
A cylinder has radius 3 cm and volume $72\pi$ cm$^3$. What is the height of the cylinder?...
A cone and a cylinder have the same radius and height. What is the ratio of the volume of the cone to the volume of the cylinder?...
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