SAT, ACT, New SAT, PSAT and SAT Subject Test Practice Problems are provided for students of OptimalSATPrep.com and others.
On a physics test Ram can solve M questions in t/3 minutes. On a math test Ram can solve 2 M/3 questions in 3t/4 minutes. His average time to solve one physics question is how much faster than his average time to solve one math question?
#SAT #ACT #PSAT
The figure below shows a circle O. Two smaller circles C and D are shaded yellow. What is the ratio of the area of the yellow region to the white region? #SAT #ACT #PSAT
The figure below shows a quadrilateral ABCD with coordinates as shown. What is the area of ABCD ? #SAT #ACT #PSAT #TJ
Peter has two Large baskets of fruits filled with apples and pears. The ratio of apples:pears in basket I is 10:2. The ratio of apples:pears in basket II is 2:18. Peter, a math enthusiast mixed X bowls of fruits from Bsasket I with Y cups of fruits from Basket II to create Basket III. If the ratio of apples:pears in Basket III is 1:1, what is X:Y ? #SAT #PSAT #PSAT
The figure below shows two equilateral triangles ABC and PQR and three concentric circles such that each triangle has an inscribed circle a circumscribed circle. What is the ratio of the sum if blue areas to the sum of white areas? #SAT #PSAT #ACT
The figure below shows an equilateral triangle ABC and a regular hexagon PQRSTU. If the perimeter of the hexagon is 12, what is the area of triangle ABC? #ACT #SAT #PSAT
What is the difference between angle measures between the hour hand and the minute hand when the time is 4:50 and the time is 1:15? #SAT #PSAT #ACT
Wheel O has radius 6 feet. If the distance traveled by wheel O in 600 revolutions can be covered by wheel P in 1440 revolutions, what is the radius of wheel P? #SAT #ACT #PSAT
The figure below shows a square ABCD with sides 4 and an isosceles triangle OFE with measurements as shown. The altitude of triangle OFE is 2.
#ACT #SAT #PSAT
The figure below shows four circles I, II, III and IV with radii 3, 4, 6 and 12 respectively. The three inner circles are colored yellow. If a tiny particle of dust falls on circle IV, what is the probability that it will fall on the green area?
The Figure below shows polygons and triangles. Express angles f, h, m and n in terms of angles e and i. Simplify further if possible.
If 5 cups of coffee costs $N, how many cups of coffee can you purchase for P cents? #SAT ACT PSAT
In a lab, the number of black mouse is 60 more than 3 times the number of gray mouse. If there are G gray mouse,
1. What % of all the mouse are gray?
2. What % of all the mouse are black?
#SAT #ACT #TJ
The Figure below shows four circles with centers at O, P, Q and T. Part of the region in each circle is shaded as show. What is the ratio of the Green region to the white region? #SAT #ACT #TJ
The Figure below Show three levels of triangles. The mid points of the sides of the largest triangle are connect (as shown) to create 4 smaller triangle. The mid points of the central triangle of the central triangle are connect to create 4 smaller triangles, three of which are colored yellow. What is the ratio of the total area of the yellow areas to the white areas? #SAT #ACT #TJ
The figure below an equilateral triangle OPQ. Three congruent circles are drawn with centers O, P and Q respectively. The triangles go through the midpoint of the sides of the triangle. What is the ratio of the green area to the white area? #SAT ACT #PSAT
Three circles with diameters AB (8), BC (6) and CD (4) are shown below. Each diameter is divided in three equal segments and diameters are are drawn as shown. What is the ratio of the green area to the white area? #SAT #ACT #PSAT
If the weight of 12 monkeys equals the weight of 18 dogs and the weight of 45 dogs equals the weight of 12 lion cubs, what is the ratio of the weight of a lion cub to the weight of a monkey? #SAT #ACT
Among a group of 110 students, 84 study math, 60 study chemistry. If at most 50 students study both subjects, at least how many students study neither math nor chemistry.? #SAT #ACT #PSAT
If 6 students catch 90 frogs in 60 minutes then working at the same rate 40 students will take how many hours to catch 3600 frogs? #SAT #TJ #ACT
