10 Most Common FTCE 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 FTCE Math test?
The Best Books to Ace the FTCE Math Test
Related to This Article
More math articles
- Full-Length TSI Math Practice Test
- Subtracting Decimals for 5th Grade: Regrouping and Practice
- How to Find Angles as Fractions of a Circle
- 5th Grade PSSA Math Worksheets: FREE & Printable
- Understanding Triangles: A Comprehensive Guide to Their Classification and Properties
- Let’s Make Math Education Relevant for Real Life
- Number Navigators: How to Select Pairs with Targeted Sums and Differences
- TABE Math Formulas
- The Ultimate 7th Grade NYSTP Math Course (+FREE Worksheets)
- How to Prepare for the DAT Quantitative Reasoning Math Test?
What people say about "10 Most Common FTCE Math Questions - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.