If K is m% of U then lK is what % of U/l ?
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Practice Problems
SAT, ACT, New SAT, PSAT and SAT Subject Test Practice Problems are provided for students of OptimalSATPrep.com and others.
SAT Subject Test Math Level II (Hard). Target Time. 40-70 seconds,
The figure below shows a pentagon inscribed in a circle. What is the ratio of the area of the pentagon to the area outside the pentagon but inside the circle ?
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A Composite Function Problem for SAT/ SAT Subject Test/ACT Prep. (Medium). Target Time. 15-30 seconds for each part.
f (X) = 2 - X^2 and g(X) = SQRT (1 - X).
1. What is f (g (X)) or f o g (X) ?
2. What is g o f (X) ?
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A Geometry Problem for SAT/ACT. (Medium). Target Time. 25-35 seconds.
The figure below shows triangles PQO and QTR with coordinates of points as marked. If PQ= 2 QT and the area of PQO = the area of QTR, what is the y coordinate of point R?
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A Variation Problem for SAT/PSAT/ACT Prep. (Medium). Target Time. 20-35 seconds.
P varies directly with T and inversely with the square of U. If P is 800 when T is 100 and u is 5, what is P when T = 50 and u = 10 ?
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A Ratio Problem for SAT/PSAT/ACT Prep. (Hard). Target Time. 20-50 seconds.
If 7 Peela = 11 Meela and 3 Meela = 14 Keela, what is the ratio of Keela:Peela ?
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A Number Problem for SAT/ACT/PSAT Prep. (Medium). Target Time. 15-40 seconds.
When 11 is divided by 7, a repeating decimal representation is 1.57148571428... wherein, 571428 is repeated indefinitely. What will be the 1,111th digit to the right of the decimal point ?
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An Algebra Problem for SAT/PSAT/ACT Prep. (Easy). Target Time. 15-25 seconds.
The energy felt from a space heater varies inversely with the square of the distance from the heating element. If the energy felt is E joules at a distance of m meters, how much energy (joules) will be felt at a distance of (3m) meters ?
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An Elementary Algebra Problem for SAT/PSAT/ACT Prep. (Easy). Target Time. 5-15 seconds.
If s = 8 t and t = 0.2 u. What is s when u = 100 ?
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A Mixture (Proportion) Problem for SAT/ACT/PSAT Prep (Hard). Target Time. 25-45 seconds.
Salsa I contains 3 parts cilantro and 8 part tomato and Salsa II contains 11 parts cilantro and 3 parts tomato. Mrs. Mixon mixed M cups of Salsa I with N cups of Salsa II. If Mrs. Mixon's salsa mix contains 2 parts cilantro and 1 part tomato, what is the ratio of M:N ?
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A Geometry Problem for SAT/ACT/PSAT Prep. (Medium). Target Time. 15-30 seconds/part.
The figure below shows a sector of radius R and Central angle of X deg.
1. If the radius is doubled and the central angle is halved, by what % the area of the sector will increase or decrease?
2. If the central angle is doubled and the radius is halved, by what % the area of the sector will increase or decrease.
3. What is the perimeter and area of the sector in terms of R and X?
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A Number Line Problem for SAT/PSAT/ACT Prep. (Medium). Target Time. 20-30 seconds.
The figure below shows a number line (not drawn to scale). If AC:AB = 11:7 and BC:BD = 10:15, what is AB:CD ?
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A Geometry Problem for SAT/PSAT/ACT Prep. (Hard). Target Time. 20-40 seconds.
ABC is a scalene triangle. D is a point on AC and E is point on BC such that DE is is parallel to AB and AD = 1/4 DC.
1. What is the ratio of the area of trapezoid ABED to the area of triangle DEC?
2. What is the ratio of the perimeter of triangle ABC to the perimeter of triangle DEC?
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A Proportion Problem for PSAT/SAT/ACT Prep. (Medium). Target Time. 20-50 seconds.
How many green pea plants can be expected in a garden plot whose dimensions are 75' x 216" if on average 60 green peas are found in one square yard?
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A Geometry Problem for SAT/ACT/PSAT Prep. (Medium). Target Time. 25-35 seconds.
The figure below shows a scalene triangle ABC and other angles as marked. What is the ratio of angle BAC to angle ABC?
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Simple Equations for ACT/SAT/PSAT Prep. (Medium). Target Time. 10-15 seconds for each part.
Th image below shows two equations. Please solve each equation for the indicated variable.
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A Word Problem for SAT/PSAT/ACT Prep. (Medium). Target Time. 15-35 seconds for each part.
A car rental company charges $D dollars/day for rental, c cents/day for insurance and m cents/mile.
1. What is the total fee in dollars for a 9 day rental and for a total of 975 miles?
2. What is the total fee in dollars for an N day rental with a total of d miles ?
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A Mixture Problem for SAT/ACT/PSAT Prep. (Medium). Target Time. 25-35 seconds.
How many Kg of water should removed by evaporation to change a 40 Kg 10% salt solution in to a 15% salt solution?
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A Break-Even Function Problem for SAT/PSAT/ACT Prep. (Medium). Target Time. 20-25 seconds.
A electronics gadget manufacturer has determined that the cost of manufacturing n gadgets is modeled by C(n) = 12,000 + 75n whereas the revenue from manufacturing n gadgets is modeled by R(n) = 200n. At least how many gadgets the company must manufacture to generate profit?
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A Percent Problem for SAT/PSAT/ACT Prep. (Hard). Target Time. 20-35 seconds/part.
A large fruit basket has some bad fruits; the exact % of bad fruits is p.
1). If the total number of fruits is 9500, in terms of p, how many fruits are bad?
2. If the number of fruits in the basket is W, how many fruits in the basket are good?
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