An Arithmetic Problem for TJ/Blair/AOS/SSAT Test Prep (Medium). Target Timer 20-45 seconds

If A is 500% of 2 B + A then what is the ratio of B to A? 

An Algebra Question for TJ/Blair/AOS/ShSAT Test Prep (Medium). Target Time. 14-45 seconds.

For X = - 3 and Y = -2, what is the value of (X^2 + Y^2)(X + Y)(X - Y)? 

A Mathematics Problem for TJ/AOS/Blair/SHSAT (Medium). Target Tie 30-75 seconds.

A model fruit stand has layers of rows of fruits, modeled by magnetic balls that are painted and textured like apples. Each layer of fruit (except the lowest)  has one less fruit than the layer below it. If the bottom row has 48 "fruits" and the top row has 8 "fruits", how many layers of "fruits" are there and how many "fruits" are required to make this arrangement?

A Medium Math Problem for TJ/AOS/Blair/Test Prep. Target Time 20-55 seconds.

Brothers WeiWei and RenFei wanted to detail their mom's car. It  took WeiWei 12 Hrs to finish the job. If RenFei had helped from the start, the job would have been completed only in 3 Hrs. Working alone, ReinFei will take how many Hrs to detail the car?

An Easy Math Problem for TJ/SHSAT/Blair/AOS Test Prep. Target Time. 20-35 seconds.

Nora bought 16 apples and 15 pears. For the same money she could have bought 40 apples. How many pears only could she have bought for the same amount of money?

An Algebra Problem for TJ/ShSAT/Blair/AOS Test Prep (Medium). Target Time. 20-45 seconds.

If (12t - 9u)/5 = k (4t - 3u), what is the value of k for all values of t and u?  

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

The figure below shows triangle ABC. A point O lies in the interior of ABC such that OA, OB and OC are bisectors of angles A, B and C respectively. angles m, n and o are identified in the figure. What is the sum of degree measures of angles m, n and o? {Note. O and o are different angles.]

A Geometry Problem for TJ/AOS/Blair Test Prep (Medium). Target Time. 15-40 seconds.

The figure below shows an equilateral triangle with sides 2t - 1, t + 2 and 3t - 4, what is the area of the triangle?

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

In the figure below, a triangular pyramid. If OA = 4, OB = 5 and OC = 6 and angles COA, COB and AOB are right angles. What is the volume of the pyramid?

An Arithmetic Problem for TJ/AOS/SHSAT/HSPT Test Prep (Easy). Target Time. 15-45 seconds.

Four students aged 9, 9, 12 and 15 years have collected 300 sea shells. They agreed to divide the sea shells in proportion to their ages. How many shells will the oldest person get?

An Algebra Problem for TJ/AOS/SHSAT Test Prep (Medium). Target Time. 20-45 seconds.

You have isolated a group of friendly bacteria In you lab. The bacterial population doubles every 2 Hrs. If at 6 AM you have 90,000, how many bacteria will you have at 10 PM?  [Please write your answer in scientific notation.]

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

If 2 Y + 60 >= 48 and 2 X + 6 <= 8, what is the difference between the greatest X and the least Y?

A Logic Problem for TJ/SHSAT/HSPT Prep (Easy). Targret Time. 20-40 seconds.

Bob is taller than Bill who is taller than Jill. Jack is taller than Jill. Finally Bob is taller than Harry who is taller than Jack.   Who is the tallest person and who is the shortest?

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

The figure below shows the intersection (overlap) of square ABCD and triangle AEF. If AE:BG = 2:1 and AB:BF = 5:3, what is ratio of the area of trapezoid ABGE to to the area of the triangle BFG?

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

It takes Jack 3 times as much time to build 4 doll houses as it takes Jill to build 2 doll houses. 1) What is the ratio of the times Jill and Jack to build one doll house? 2) What is the ratio of the rates at which Jack and Jill build doll houses?

A Speed-Distance problem for TJ/SHSAT/SAT/Blair TestPrep (Easy). Target Time. 20-50 secionds.

Ram is going on a 600 miles long trip. For the first 200 miles his average speed was 40 miles per hour. What should be his average speed for the rest of the trip so that the average speed for the entire 600 miles would be 50 miles per hour?

An Arithmetic Problem for TJ/SSAT/SHSAT/Blair/Aos Test Prep (Medium). Target Time. 20-45 seconds.

A birthday party was organize by 30 friend. Each friend was to contribute $12. At the last minutes 3 friends (?) pulled out so that the remaining friends had to cover the entire bill. Each remaining party goer's share of payment increased by what %? Can you find the general answer if N friend pull out?

A Geometry Question for TJ/AOS/Blair/SHSAT Test Prep (Difficult). Target Time. 35-80 seconds.

A circle O with radius 6 unit is drawn. If the sector AOB (120 deg) is removed and the remainder of the circle is folded into a cone such as O becomes the vertex of the cone. What is the volume of the cone. [Hints. Vol of a cone = 1/3 Pi r^2h and you can imagine a pizza with 6 slices from which 2 slices have been removed, now imagine you are folding this virtual (imagined) leftover pizza into a cone.]

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

Set A contains all integer multiples of 5, Set B contains all even integers between 40 and 90 and set C contains all integer multiples of 7. How many integers belong to intersection of all three sets?

A Geometry Problem for TJ/AOS/SHSAT/Blair Test Prep. Target Time. 25-45 seconds.

  The diameter of a cylinder is is just right to accommodate two tennis balls side by side.  The height of the cylinder is equal to the diameter of the ball. What fraction of the cylinder is not occupied by the two balls?