A LCM and GCF problem for TJ/AOS/Blair Prep (Medium). Target Time. 25-35 seconds for each.

Find the LCM and GCF of the following numbers.

Quantitative Comparison Problem for TJ Test Prep/Blair test prep (medium). Target Time. 30 seconds.

Find the ratio of the shaded area to the unshaded area in the figure below

A Quantitative Comparison Question for Blair Test Prep (Medium). Target Time. 30 to 40 seconds.

Which column of numbers is greater in the figure below?

A Geometry Problem for TJ Test Prep (Medium). Target Time. 20 seconds.

What is the area of triangle in the figure below?

A Medium Difficulty Algebra Problem for TJ/AOS/Blair Prep. Target Time. 20-25 seconds.

(2a -3) / (3 - 2a) + 2 + (3 - 2a) / (2a - 3) = ? 

A Difficult Geometry Problem for TJ/AOS/ Blair Prep. Target Time 20-40 seconds.

What is the average of angles A, B and C in the figure below?

Three Medium Quantitative Comparison Problems for Blair Test Prep. Target Time. 30-45 seconds.

See the image for the three questions. Please provide an answer A, B, C, or D for each of the three questions.

An Easy Arithmetic Problem for TJ/AOS/Blair Test Prep Problem. Target Time. 25-30 seconds.

P is 20% less than Q. T is 20% more than P. What is the ratio of P:T?

A Difficult Geometry Problem for TJ/AOS/Blair Prep. Target Time

ABC, ACD and ADE are three adjoining right triangles. AB = 2, BC = 1, CD = 1 and DE = 1. Semicircles are drawn with diameters AB and AE respectively. The area of the semicircle on AE is how many times the area of the semicircle on AB?

A Difficult Geometry Problem for TJ/AOS/Blair Test Prep. Target Time. 25-35 seconds.

Find the area of the shaded region (yellow) within the semicircle with diameter AB and center O. AC = 8 and BC = 6 

An Easy TJ Test Prep Ratio Problem. Target Time 30-45 seconds.

If 3/4 A = 5 B, 2/3 B = C and 5/3 C = D, what is the average of A, B, C and D in terms of A? 

A TJ Prep/Blair Prep Medium Geometry Problem. Target Time 20-40 seconds.

If the length of a rectangles is tripled and its width is quadrupled, what is the ratio of the perimeter of the new rectangle to the perimeter of the old rectangle?

A Difficult TJ Prep/Blair Prep Geometry Problem. Target Time 40-60 seconds.

ABC is an equilateral triangle. The circle O is inscribed in ABC. Each side of ABC is trisected with semicircles drawn as shown. What is the ratio of the length of the semicircular path to the circumference of the inscribed circle?

TJ Prep/Blair Prep Linear Rate Problem (Medium). Target Time. 20-35 seconds.

A hybrid (electric-gasoline) automobile works in either gas only or hybrid mode. The cost to operate the vehicle is $0.20/mile in gas only mode or $40/month plus $0.12/mile in the hybrid mode. The owner must drive how many miles/month to realize savings by driving in  the hybrid mode?

Profit & Loss Word Problem (Difficult). Target Time 90 - 120 seconds

Mr. Smith owns a fruit juice stand at a local mall. Mr. Smith can buy 3 dozen strawberries for $P. S strawberries produce N liters juice. 3 liters of juice sells for 8X cents. One day Mr. Smith bought W strawberries, juiced them all and was able to sell all the juice, what was his net profit (in dollars) at day's end?

TJ Prep/Blair Prep Problem (difficult). Target Time. 20-40 seconds.

ABCD is a square. By connecting the midpoints of each side a new square is created. The process is repeated twice more.  What is ratio of areas in blue to areas in red?

Shaded area problem.

TJ Prep/Blair Prep Interest word Problem (Easy). Target Time 20-30 seconds.

Jack invested $10000.00 for 5 years at a simple interest of 4% per year. Bill should invest how much money at 2% simple interest per year  to earn the same interest in 2 years?