Digital SAT Practice Questions
Access 772 official-caliber practice questions. Filter by subject or difficulty to pinpoint your cognitive blind spots.
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?...
Two similar triangles have perimeters of 20 cm and 30 cm. If the shortest side of the smaller triangle is 6 cm, what is the shortest side of the larger?...
What is the surface area of a cube with edge length 4 cm?...
A sphere has volume $\frac{32}{3}\pi$. What is the radius of the sphere?...
A right triangle has hypotenuse 25 and one leg 24. What is the length of the other leg?...
The area of a triangle with base 14 and height 9 is:...
If the perimeter of a square is 28 inches, what is the length of its diagonal?...
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