Average weight of a mango is 2 pounds and the average weight of a papaya is 5 pounds. A fruit basket is created to contains 60% mangoes and 40% papayas. What is the average weight of a fruit in this basket? #TJtest #SHSAT #HSPT
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.
A Literal Equation Problem for TJ/SHSAT Prep. (Medium). Target Time. 15-20 seconds.
Solve for l in terms of P and A: l = Pl + A
#TJ #SHSAT
A Word Problem for TJ/SHSAT/HSPT Prep. (Medium). Target Time. 20-25 seconds.
When 7 is subtracted from a number the result is the same as when 3/7 of the number is subtracted from 7. What is the number?
An Algebra Problem for TJ/SHSAT/AOS/HSPT/SSAT Prep (Easy). Target Time. 10-20 seconds.
Solve the equation for X: -2 [ 3 - ( 2 - X ) ]
#TJ #SHSAT #SSAT
A Counting Problem for TJ/SHSAT/AOS Prep. (Medium). Target Time.
The figure below shows the top view of a cheese cake with three straight cuts. After making one additional straight cut, what can be the maximum number of non overlapping regions in the figure? #SHSAT #TJ #TJHSST #HSPT
An Algebra Problem for TJ/SHSAT/SSAT/HSPT Prep (Medium). Target Time. 15-30 seconds for each part.
The image below shows three equations in X and/or Y. Fin the value of X and/or Y as appropriate. #TJ, #SHSAT #HSPT #SSAT
A Algebra Problem for TJ/SHSAT/SAT/AOS. (Medium). Target Time. 15-40 seconds.
A Colony of bacteria doubles in number every two hours. If you start with a sample containing 100 bacteria, what will be the total number of bacteria after 20 Hr? You can. assume that no bacteria die during this time. #TJ #SHSAT
A Speed-Distance Problem for TJ/SHSAT/SSAT/HSPT Prep. (Medium). Target Time. 10-35 seconds.
If an athlete can run X miles in Y Hours, how many miles can she run in M minutes? #TJ #SHSAT #SSAT #HSPT
An Algebra Word Problem for TJ/SHSAT/Blair/SAT Prep. (Easy). Target Time. 20-35 seconds.
Write an equation to represent the following relationship between four consecutive even integers: The sum of the smallest and the largest is twelve more than three times the second largest. What is the equation and what are the integers? #TJprep #SHSATprep #SATprep
A Geometry Problem for TJ/AOS/Blair/SHSAT Prep (Medium). Target Time. 20-40 seconds.
Updated. Sept 11, 2014. The figure below shows a square ABCD with sides 8. Each side of the square is divided into 4 equal segments. Four semicircles are drawn on each side of the semicircle.
1. What is the area of the yellow region?
2. What is the circumference of the yellow region?
A Geometry Problem for TJ/SHSAT/AOS/SAT Prep. (Medium). Target Time. 15-45 seconds.
The figure below show a triangle ABC with angles A = 2x +15, B = x+15 and ACD = 3x + p. What is the degree measure of p? #TJprep #AOSprep #SHSATprep #SATprep
A Proportion Problem for TJ/SHSAT/AOS/Blair Prep (Easy). Target Time. 15-25seconds.
Several children collected a total of 1050 mangoes, apples and bananas. If the ratio of mango:banana:apple = 3:5:7, what is the difference between the number of apples and the number of mangoes collected? #TJprep #SHSATprep #AOSprep.
A GeometryProblem for TJ/SHSAT/Blair/AOS/PSAT/SAT Prep (Medium). Target Time. 15-30 seconds
What is the area of a circle whose circumference is QTPi. Pi = 3.14... #TJprep #SHSATprep #Blairprep
A Geometry Problem for SAT/ACT/PSAT Prep. (Hard). Target Time. 20-50 seconds.
If the length, width and height of a rectangular solid are tripled, what will be the net percent increase in its volume? #SATprep, #ACTprep
An Algebra Problem for TJ/AOS/SHSAT Prep (Easy). Target Time. 15-30 seconds.
(3 X - 4)(X + 2) =3 X^2 + M X - P X - MP. - T. What is the value of M + P - T?
#TJprep #SHSATprep
A Percent Problem for TJ/SHSAT/Blair/AOS/ SAT Prep. (Easy). Target Time. 20-40 seconds.
During a sale, a retail store offers discounts as follows: 20% on the 1st item, 40% each on the next two items and 60% each on the next three items. If a customer buys six items of equal value, what was his average discount per item?
An Speed-Distance Problem for TJ/Blair/SHSAT/SAT Prep. (Medium)
Anali and Monali went hiking on a mountain trail. Their average speeds going up and down the trail were 2 mils/hour and 6 miles/hour respectively. If they took an hour long lunch break at the top of the trail and the entire trip took 7 hours, how long was was the trail? #TJprep #SHSATprep #SATprep
A Geometry Problem for TJ/AOS/SHSAT/Blair/SAT Prep (Mediun). Target Time. 15-45 seconds.
ABC os an isosceles right triangle and PQRC is a square such that BP = PC. What is the ratio of the area of the trapezoid ABPQ to the area of the triangle QRC? #TJprep #SHSATprep
Basic Prealgebra/Algebra Problems for TJ/ShSAT/Blair Prep. (Medium). Target Time. 15-30 seconds per part.
Please evaluate the following expressions:
A Speed-Distance Problem for TJ/AOS/Blair Prep (Easy). Target Time. 10-25 seconds.
How many minutes will a frog take to travel (buy hopping) 90 inches if it hops 20 yards/Hr ?