An Algebra Problem for TJ/AOS/Blair Test Prep (Medium). Target Time. 15-30 seconds.

If M^6 = 9 T^3 and M^4 = T, what is M in terms of T?

A Mathematics Problem for TJ/AOS/Blair Test Prep (Medium). Target Time. 25-40 seconds.

An antique pottery appreciates (increases) in value by 25% every five years. If Pottery cost $P in the year 2000, in terms of P, what was its price 25 years ago?

A Percent Problem for TJ/AOS/Blair Test Prep (Medium). Target Time. 20-35 seconds.

Moti Harvested M mangoes in March. Joseph harvested N more mangoes in March. Their combined harvest was what % more than Moti's harvest?  If M > N, Moti's harvest is what % more than Joseph's harvest?

An Arithmetic Question for TJ/SSAT/Blair/HSPT/AOS Prep (Easy). Target Time. 15-40 seconds.

A number is decreased by 40%; the result must be increased by what % to equal the original number?

An Algebra Problem for TJ/AOS/Blair/SSAT Prep (Easy). Target Time. 20-45 seconds.

A, B, C and D are positive integers and M is their average. If B = 2A, C = 3A and D = 4 A, what is the ratio of M to A ?

Quantitative Comparison Problems for SSAT/ISEE/Blair/Poolesville Test Prep (Medium). Target Time. 25-45 seconds.

The figure below shows two quantitative comparison problems. They can be solved the long way or the most efficient way; the latter will take 10 seconds for each question.

A Geometry Problem for TJ/AOS/Blair Test Prep (Medium). Target Time. 20-45 seconds.

The figure below shows show a square ABCD with sides of length 6, two right triangles with legs as shown and two semicircles shaded yellow. What is the total area of the two shaded semicircles?

A Geometry Problem for TJ/SHSAT/Blair Test Prep (Medium). Target Time. 20-40 seconds.

The figure below shows three concentric circles with radii 3, 6 and 8. What is the ratio of the yellow area to the green area ?

An Arithmetic Question for TJ/Blair/AOS/SSAT Prep (Easy). Target Time. 15-30 seconds.

Please simplify and find the answer to the following decimal multiplication and fraction questions. Note you may not use a calculator.

A Mixture Problem for TJ/AOS/Blair/SSAT/SHSAT Prep (Medium). Target Time. 20-35 seconds.

12 liters of 8% sulfuric acid is to be diluted to 5% sulfuric acid solution. How many liters of pure water is required to achieve the objective? 

A Probability/proportion Question for TJ/AOS/Blair/SHSAT Prep (Easy). Target Time. 25-35 seconds.

A fruit jar has plums and kiwis. The ratio of kiwis to plums is 5:4 and there are 300 kiwis. How many more kiwis should be added to the jar so the probability of picking a kiwis from the jar rises to 2/3? 

An Arithmetic Problem for TJ/Blair/AOS/SHSAT Test Prep (Difficult). Target Time. 30-55 seconds.

K, P, T, U are nonzero numbers. If P is t% of U then PK is what% of U/K ? Please note that your answer can contain no numbers except in exponents.

A Math Problem for TJ/SHSAT/AOS Test Prep (Easy). Target Time. 15-35 seconds.

If P is inversely proportional to the square of U, then the square of U is directly proportional to what? 

A Math Problem for TJ/Blair/AOS/SHSAT Prep (Medium). Target 25-40 seconds.

If 6 Trivieris eat 90 cheese enchiladas in 150 minutes, then at the same rate, 15 Trivieris will take how many minutes to eat 1200 cheese enchiladas?

A Geometry Problem for TJ/AOS/SSAT/Blair Test Prep (Easy). Target Time. 20-35 seconds.

The figure below shows a quadrilateral and a hexagon. What is a - b ?

A Geometry Problem for TJ/AOS/Blair Test Prep (Easy). Target Time. 15-30 seconds.

The figure below shows a triangle and two exterior angles. What is the value of a?

A Geometry Problem TJ/AOS/Blair Test Prep (Easy). Target Time. 15-35 seconds.

The figure below shows points P (3t, 2u) and Q (a, b) on line l. If the P and Q are equidistant from origin, what is and b in terms of t and u? 

A Geometry Problem for TJ/Blair/AOS/SHSAT (Medium). Target Time.

What is the ratio of the area of sector II to the area of sector I if the radius of sector I and II are 4 and 6 respectively and the central angle of sector I and II are 60 degree and 20 degree respectively. Note. a sector is shaped like the slice of a pizza. 

An Easy Algebra Question for TJ/AOS/Blair Test Prep.If

If 7X = 20 then what is the value of 7 (X + 4) ? 

An Algebra Problem for TJ/SHSAT/AOS/Blair Test Prep (Medium). 15 to 55 seconds.

For all b not equal to 0, (a+b)/b is how much greater than (a-b)/b?