10 Most Common SHSAT Math Questions
3- D
Isolate and solve for \(x\).
\(\frac{2}{3} x+\frac{1}{6} = \frac{1}{3} {\Rightarrow} \frac{2}{3} x= \frac{1}{3} -\frac{1}{6} = \frac{1}{6} {\Rightarrow} \frac{2}{3} x= \frac{1}{6} \)
Multiply both sides by the reciprocal of the coefficient of \(x\).
\((\frac{3}{2}) \frac{2}{3} x= \frac{1}{6} (\frac{3}{2}) {\Rightarrow} x= \frac{3}{12}=\frac{1}{4}\)
4- D
The probability of choosing a Hearts is \(\frac{13}{52}=\frac{1}{4} \)
5- D
Change the numbers to decimal and then compare.
\(\frac{2}{3} = 0.666… \)
\(0.68 \)
\(67\% = 0.67\)
\(\frac{4}{5} = 0.80\)
Therefore
\(\frac{2}{3} < 67\% < 0.68 < \frac{4}{5}\ \)
6- C
average (mean) \(=\frac{(sum \space of \space terms)}{(number \space of \space terms)} {\Rightarrow} 88 = \frac{(sum \space of \space terms)}{50} {\Rightarrow}\) sum \(= 88 {\times} 50 = 4400\)
The difference of \(94\) and \(69\) is \(25\). Therefore, \(25\) should be subtracted from the sum.
\(4400 – 25 = 4375\)
mean\( = \frac{(sum of terms)}{(number of terms)} ⇒ \)mean \(= \frac{(4375)}{50}= 87.5\)
7- B
To get a sum of \(6\) for two dice, we can get \(5\) different options:
\((5, 1), (4, 2), (3, 3), (2, 4), (1, 5)\)
To get a sum of \(9\) for two dice, we can get \(4\) different options:
\((6, 3), (5, 4), (4, 5), (3, 6)\)
Therefore, there are \(9\) options to get the sum of \(6\) or \(9\).
Since we have \(6 × 6 = 36\) total options, the probability of getting a sum of \(6\) and \(9\) is \(9\) out of \(36\) or \(\frac{1}{4}\).
8- C
The distance between Jason and Joe is \(9\) miles. Jason running at \(5.5\) miles per hour and Joe is running at the speed of \(7\) miles per hour. Therefore, every hour the distance is \(1.5\) miles less. \(9 \div 1.5 = 6\)
9- C
The failing rate is \(11\) out of \(55\) = \(\frac{11}{55} \)
Change the fraction to percent:
\( \frac{11}{55} {\times} 100\%=20\% \)
\(20\) percent of students failed. Therefore, \(80\) percent of students passed the exam.
10- D
Volume of a box \(= length \times width \times height = 4 \times 5 \times 6 = 120\)
Looking for the best resource to help you succeed on the SHSAT Math test?
The Best Books to Ace the SHSAT Math Test
Related to This Article
More math articles
- Other Topics Puzzle – Challenge 98
- DAT Quantitative Reasoning Math Practice Test Questions
- How to Graphing the Floor Function
- How to Fall in Love with Math and Studying?
- A Comprehensive Collection of Free ATI TEAS 7 Math Practice Tests
- Whаt Kind оf Math Is Uѕеd in Medicine?
- How to Find Scalar Multiplication of Vectors?
- Top 10 Tips to Create an AFOQT Math Study Plan
- Math Classroom Decorations and Bulletin Board Supplies
- 6th Grade AZMerit Math Worksheets: FREE & Printable
What people say about "10 Most Common SHSAT Math Questions - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.