This content is for BCTS Monthly Subscription, BCTS Quarterly Subscription, BCTS Annual Subscription and BCTS TUTORING (Math & Essay) members only have a peek here.
Log In Register

This Post Has 18 Comments

  1. What are your thoughts about Exam 01?
    Any questions?
    Don’t hesitate to ask. We are here to help you learn and get better prepared for the SHSAT exam. A key part of that is asking questions and getting answers to things you do not fully understand or where you just desire further explanation.

    1. This is a conversion of metric units problem with an added twist; it requires you to convert area not length which is the square of the length and that will cause your conversions to be squared also. It is analogous to doubling the size of a square. The area quadruples or increases by a factor of (2^2). In this case the unit length conversion is from meters to kilometers.

      1,000 meters = 1 kilometer however, if we have a 1,000 meter by 1,000 meter area that is just 1 km by 1km.

      1,000^2 meters squared = 1^2 or just 1 kilometer squared.

      ie. 1,000,000 m^2 = 1 km^2

      If the given area is only 10,000 m^2 then the area in kilometers will be 10,000 m^2/1,000,000 m^2/km^2 = 1/00 km^2 = 0.01 km^2

  5. I have a question for Math exam 01 (not timed). For number 38, can you not use the formula for finding the volume of a trapezoid? The way I did it was by doing V=288 ft sq. Then, since the formula for the volume of a trapezoid is height*base area, I used the formula 6*6z=288. Then I broke it down to 6z=48. That is how I got 8 as my answer

  6. For question 32 on the first not timed math exam, I don’t understand it. I thought there were 1000 meters in one kilometer so if the property is 10,000 you divide 10,000 by 1000 which equals 10?

    1. You are trying to mix apples and oranges. One is a length measure and the other is an area (length x length) measure. If you want to convert 10,000 sq. meters to square kilometers, then divide by (1000 x 1000) = 1,000,000 sq m/sq km. 10,000/1,000,000 = 1/100 = 0.01.

  7. How do you solve number 3 on the Math Exam 01 *TIMED*??(Jane scored an arithmetic average of 14 points in each of her last 4 basketball games. If Jane averaged 15 points per game over 5 games, then how many points did Jane score in her first game?)

    A. 13
    B. 14
    C. 15
    D. 17
    E. 19

    I don’t understand how you’re supposed to use the average to figure out the other number.

    1. Think of the average as a way to calculate sums. Normally, Mean(average) = Sum/Count. That equates to Sum = Mean x Count, and we are going to use those sums. The sum of scores in 4 games + 5th game score = sum of scores in 5 games. We want to solve for the 5th game score (X). If the average over 4 games is 14, then the sum is 4 x 14 = 56 points. If the average over 5 games is 15, then the sum is 5 x 15 = 75 points.

      56 + X = 75

      X = 75 – 56 = 19 points scored in game 5.

  8. Hi. I just finished all of the Math Exams and all of the Problem Sets. What would you recommend for me to do next or make sure that I am comfortable doing so I can do my best on the exam? Ex: Will there be a lot of adding and subtracting fractions with large common denominators because I might need help with that. Please tell me what are the topics that I need to know for sure for the math part.

  9. I think I might need help with adding and subtracting fractions with large common denominators because I might take too much time to do so. Aren’t you supposed to do this: 3/8+2/10+7/15 You multiply 8,10, and 15 together, or is there a faster way?

    1. You can always find a common denominator by multiplying the individual denominators. However, the least common denominator will be the GCF between the denominators–120. Often that takes extra time to calculate, but for large numbers, it may save time. In either case, I doubt this will be the bottleneck that drains the most time on your exam.

  10. I just finished all of the Math Exams and all of the Problem Sets. What would you recommend for me to do next or make sure that I am comfortable doing so I can do my best on the exam? Please give me any websites or topics that would greatly help me. Any advice is appreciated.

    1. You finished an enormous amount of content in a short time between your earlier question about how to do common denominators until now. That is admirable, but make sure you understand all the topics very well and can consistently score above 90% on the exam. Quantity alone is not the goal.

Leave a Reply

This site uses Akismet to reduce spam. Learn how your comment data is processed.

Back To Top