These solutions are for the 2008-2009, 2009-2010 and 2010-2011 SHSAT Handbook Form A tests, which were all identical. Here are my fully worked out solutions to the math section. The test can be found here.
Ratios and proportions show up a lot on the SHSATs! Mastering them will give you a nice score boost.
Take special notice of this hint from the Regents Prep ratios lesson: When working with ratios such as 2 : 3 : 5, use 2x, 3x, and 5x to write an equation!
Basic lesson and practice on averages:
There are a couple types of tricky problems related to averages that often show up on the SHSATs:
Finding the average from a frequency table:
Practice 2- don’t worry about the second half of the page, which is more advanced:
Missing numbers in averages:
Lesson/ practice 1:
Multiplying square roots
The key fact of square roots is that they can be multiplied. For example, we can do
We know this works because
You are likely to encounter one or two divisibility questions on the SHSAT. The good news is that most of them are straightforward greatest common factor or least common multiple problems. If you don’t know how to find GCF and LCM using prime factorization, check out one of the first three links at the bottom of the page. This post is about understanding divisibility a little deeper. Continue reading