An Algebra Question fort SAT/TJ/ACT/PSAT Prep (Medium). Target Time.

s, t ,u, M, N and P are integers.

s + 2t = M

t + 2u = N and

u + 2s = P.

What is the average of M, N and P in terms of s, t and u?

An Algebra Problem for SAT/TJ/SHSAT/ACT Prep. Hard. Target Time. 20-70 seconds.

If V/S + 2 = T and S/M = T + 2, what is V/M in terms of T?

An Arithmetic Question for TJ/SSAT/SHSAT/SAT Prep. (Easy). Target Time. Total 20-35 seconds.for all parts.

P = 0.015, Q = 4 and T = 6.  1) T is how many times as large as PQ? 2) PQ is how many times as large as T? 3) T is what % more than PQ?

A Venn Diagram Problem for TJ/SHSAT/SAT/ACT/PSAT/AOS Prep. Medium. Target Time. 30-50 seconds.

In a class of 170 students, the following enrollments are known: 78 study math, 60 study chemistry, 64 study biology, 19 study math and biology, 22 study math and chemistry, 18 study chemistry and biology and 11 study all three subjects. How many of these students study none of the three subjects?

A Proportion Problem for TJ/SHSAT/SAT/ACT/AOS Prep. (Medium to Hard). 15 to 50 seconds for each part.

I mangoes produce m liters of mango juice. How many liters of juice will N dozen mangoes produce? How much juice will be produced if 10% of the mangoes are spoiled? How much juice will be produced if B% of the mangoes are spoiled?

A Ratio/Direct Variation Problem for TJ/SHSAT/SAT/ACT/AOS prep. (Medium). Target Time. 20-45 seconds.

A big frog travels (by slow hops) 2 inches in t minutes. At this rate, how many feet can the frog travel in H hours?

AGeometry Problem for TJ/SHSAT/SAT/AOS Prep. Hard. Target Time. 20-40 seconds for each part.

The figure below show a part of a circle (sector) with center O and radius 4 and a square ABCD. I. What is the area of the composite figure? II. What is the perimeter of the composite figure? 

A Ratio Problem for TJ/AOS/SHSAT/SAT Prep. (Medium). Target Time. 20-45 seconds.

P, T and Q are integers. If 5P = 3T and 2T = 7Q, what is the ratio of Q:P?

A Geometry Question for TJ/SAT/AOS Prep. (Medium). Target Time 10-40 seconds.

The figure below shows thee scalene triangles ABC, PQR and STU. P, Q and R are mid points of AB, AC and BC respectively. S, T and U are midpoints of PQ, PR and Q respectively. If the perimeter of triangle ABC is 32, what is the perimeter of triangle STU?

A Geometry Problem for TJ/SAT/SHSAT/AOS Prerp. Hard. Target Time. 20-50 seconds.

ABC and ADE are two equilateral triangles. BD = 1/2 AB and CE = 1/2 AC. What is the ratio of the area of triangle ABC to the area of ADE?

An Arithmetic Word Problem for TJ/AOS/SAT/SHSAT Prep (Easy). Target Time. 20-30 seconds.

Amar, Akbar and Anthony are roommates in college. One day, Amar ate 1/4th of a pizza, Akbar ate 2/3rd of the remainder and Anthony ate 3/4th of the left over. What fraction of the pizza was left after the three friends had their share?

A Mixture Question for TJ/SHSAT/SAT/AOS Prep. Medium. Target Time. 25-45 seconds.

Salad dressing A contains 3 parts blue cheese and 5 parts olive oil and salad dressing B contains 8 parts Blue cheese and 3 parts olive oil. Bill mixed 8 cups of dressing A with 6 cups of dressing B. What is the ratio of blue cheese to olive oil in Bill's mixture?

A % Problem for TJ/SSAT/SHSAT/SSATPrep. Easy. Target Time. 25-35 seconds.

Five cartons of eggs cost $12.00. During a super sale, ten cartons of eggs cost only $20.00. What was the % reduction in the price of eggs during this sale?

A Counting Problem for TJ/SHSAT/SAT/AOS Prep. Medium. Target Time. 20-35 seconds.

A 7th grade student is preparing for a creative dress party. She has 3 pairs of shoes, 2 pairs of slippers, 6 different pants, 5 different shirts, 2 hats, 4 different jackets and 2 overcoats. If She can put on shoes or slippers and an overcoat or a jacket. In how many different  ways can she dress if she must use one shoe/slipper, shirt, a pant, a hat and a jacket/overcoat?

A Word Problem for TJ/AOS/SSAT/SAT Prep. Easy. Target Time 15-35 seconds.

After completing 87.5% of a long trip, Bill found that he had traveled 1050 miles. He began to wonder how many  more miles were left before he would reach his destination. Can you help Bill?

An Algebra Function Question for TJ/AOS/SHSAT/SAT Prep. Medium. Target Time 20-45 seconds per part.

The figure below defines a function. Examine the function then answer the two questions.

An Algebra Problem for TJ/SHSAT/AOS/SAT Prep. Medium to Hard. Target Time. 25-50 seconds.

P, Q and U are positive integers. 4P + 2Q + U =  60 and 4Q + 3U = 40 + U. What is the value of P?

An Algebra Speed-Distance Problem for TJ/AOS/SAT/SHSAT Prep. (Medium). Target Time. 20-35 seconds.

I n a race between a tortoise and a hare, the tortoise ran at a speed of t m/s while the hare ran at (2t+8) m/s. After 8 hours, the tortoise and the hare stopped to take at break at their respective locations. At this point, the tortoise was how far ahead of the hare?

An Algebra Word Problem for TJ/AOS/SHSAT/SAT Prep (Medium). Target Time. 15-40 seconds.

If 5 bananas cost 2 N cents, how many bananas can you buy for $M?

A Word Problem for TJ/SHSAT/AOS Prep. Target Time. 25-40 seconds.

The average price of 4 math books is $75. The average price of a few computer science books is $120. The average price all these books together is $100. How many computer science books are there?