During a sale 5 medium pizzas cost the same as 3 large pizzas. 1) The cost of one large pizza is what % greater than the cost of one medium pizza? 2) the cost of one medium pizza is what % less than the cost of one large izza? #TJprep #AOSprep #Blairprep #SATprep
TJ Prep Problems
TJ Prep practice problems for our students and readers. The problems provide a very small sampling of what Optimal TJ Prep students work with.
An Proportion Problem for TJ/AOS/Blair/SSAT/HSPT/Poolesville Prep. (Medium). Target Time. 20-30 seconds.
After Julie gave 2/7th of her lollipops, she had 135 lollipop lefts. How many lollipops did Julie have at the outset? #TJprep #Blairprep #SSATprep #HSPT Prep.
An Arithmetic Mean Question for TJ/AOS/Blair/Poolesville Prep. (Easy). Target 10-30 seconds.
The Average Price of two chemistry books is $40 and the average price of six physics books is $120. What is the average price of all 8 books ? #TJprep, #SATprep, #PSATprep.
A Geometry Problem for #TJprep, #Blairprep, #Poolesville, #SATprep. (Medium). Target 20-35 seconds.
The figure below shows two parallel lines ED and AC.
1. What is the ratio of the area of triangle EDA to the area of triangle BCD?
2. What i the ratio of the triangle ADB to the area of trapezoid ACDE?
Arithmetic Problem for #TJprep, #Blairprep, #Poolesvilleprep. (Easy). Target Time. 10-20 seconds per problem.
Please evaluate the following:
A Geometry Problem for TJ/AOS/SAT/PSATprep (Medium). Target Time 15-35 seconds.
If a cylinder's radius is tripled and its height is divided by 4, what will be the percent increase or decrease in the cylinder's volume? #TJprep #SATprep #PSATprep
A Proportion Problem for #TJprep, #Blairprep, #SATprep. (Medium). Target Time. 15-35 seconds.
A replica is designed so that a 3' tall toy becomes a 1" tall replica. What will be the height of a replica which represents an N" tall toy?
A Simple Algebra Equation for #TJprep, #Blairprep and #PSATprep. (Easy). Target Time. 10-30 seconds.
If X - (3 - 2X) = 6 - (2 - X), What is X ?
An Arithmetic Problem for TJ/SSAT/HSPT Prep. #TJprep #Blairprep. (Easy). Target Timer. 15-20 seconds.
If S = 5. 5. 5, T = 7 . 7 . 7 . 2 . 5 and U = 2 . 2 . 2 . 5 . 5 . 5, what are the GCF and the LCM of S, T and U ?
An Algebra Problem for TJ/AOS/Blair Test Prep.#TJprep #Blairprep. (Medium). Target Time. 10-45 seconds.
If (2^a)(2^b) = 6,
1. How many different values of a and b are possible?
2. Can a and b both be integers?
A percent Proportion Problem for TJ/SAT/ACT/PSAT Prep #TJprep. (Easy). Target Time. 10-50 seconds.
5% of A = 6% of B. What is A:B ?
A Percent Word Problem for TJ/SAT/SHSAT/PSAT Prep (Easy). Target Time. 15 to 30 seconds.
In solving a math problem. Mohan got the incorrect answer of 60 as his answer. Rhea solved the problem correctly got the answer as 75. What was Mohan's percent error.
A % Word Problem for TJ/SHSAT/PSAT/SAT Prep (Medium). Target Time. 15-50 seconds.
A farmer bought 60 goats for a total of $Q. If the price of each goat increases by 25%, how many goats can the farmer buy for $Q ? Once you have the correct answer, please think about the process by which you solved problem. is there any unnecessary piece of information provided in the question? If so, what is it and why is it not needed?
A Mixture Problem for SAT/PSAT/AOS/TJ/SHSAT Prep. (Difficult). Target Time. 25-60 seconds.
A food chemist Adya is trying to mix two brands of salsa to create a third. The Pala Salsa contains 5 parts tomato and 13 parts celantro whereas the Adi brand of salsa contains 7 parts tomato and 2 parts celantro. Adya mixed X cups of Pala salsa with Y cups of Adi salsa to produce X+Y cups of the third brand (Adya was very careful not to spill any of the salsa!). If The final mixture contains twice as much tomato as celantro, what is X:Y?
A Number line (ratio) Problem for TJ/SHSAT/SAT/PSAT/AOS Prep. (Medium). Target Time: 25-50 seconds.
The figure below shows a number line segment AV with point S, T, U and V in that order. If the ratio of ST:UV = 5:7 and US:TS = 7:3, what is TU:VS?
An Arithmetic Word Problem for TJ/SHSAT/SAT/PSAT Prep(Easy). Target Time. 20-50 seconds.
6 Rikhis can eat 96 Samosas (an Indian snack shaped like a tetrahedron) in 12 minutes. At this rate 15 Rikhis will take how many minutes to eat 1200 Samosas?
A Percent Problem for TJ/SAT/SHSAT/PSAT/AOS Prep. (Easy). Taerget Time. 20-30 seconds for each part.
A increased by 20% equals B and B increased by 30% equals C. 1) C is what % more than A? 2) A is what % less than C? 3) is the answer to 1) 50%; why or why not?
A Geometry Problem for TJ/SHSAT/SAT/PSAT/AOS Prep. (Easy). Target Time. 20-40 seconds.
In a scalene triangle, the smallest angle is one half the largest angle and the remaining angle is 20 less than the difference between the largest and the smallest angle. What are the measures of the three angles?
An Algebra Word Problem for TJ/SHSAT/SAT/ PSAT Prep. (Easy). TargetTime. 20-35 seconds.
A 60m long rope is cut into three pieces so the shortest piece is 1/3 as long as the longest piece and the length of the remaining piece equals the average of the shortest and the longest piece. How long is each piece of the rope?
A Simple Algebra Word Problem for TJ/SSAT/SHSAT/SAT Prep. (Easy). Target Time, 20-45 seconds.
The sum of two integers is 56. When both integers are increased by 8, the new smaller integer is one half of the new larger integer. What are the original integers?