Hints will display for most wrong answers; explanations for most right answers.   You can attempt a question multiple times; it will only be scored correct if you get it right the first time.  To see five new questions, reload the page.

I used the official objectives and sample test to construct these questions, but cannot promise that they accurately reflect what’s on the real test.   Some of the sample questions were more convoluted than I could bear to write.   See terms of use.   See the MTEL Practice Test main page to view questions on a particular topic or to download paper practice tests.

## MTEL General Curriculum Mathematics Practice

 Question 1

#### It is too high by a factor of 100

Question 1 Explanation:
Topics: Estimation, Scientific Notation in the real world (Objective 0016).
 Question 2

#### The least common multiple of 60 and N is 1260. Which of the following could be the prime factorization of N?

 A $$\large2\cdot 5\cdot 7$$Hint: 1260 is divisible by 9 and 60 is not, so N must be divisible by 9 for 1260 to be the LCM. B $$\large{{2}^{3}}\cdot {{3}^{2}}\cdot 5 \cdot 7$$Hint: 1260 is not divisible by 8, so it isn't a multiple of this N. C $$\large3 \cdot 5 \cdot 7$$Hint: 1260 is divisible by 9 and 60 is not, so N must be divisible by 9 for 1260 to be the LCM. D $$\large{{3}^{2}}\cdot 5\cdot 7$$Hint: $$1260=2^2 \cdot 3^2 \cdot 5 \cdot 7$$ and $$60=2^2 \cdot 3 \cdot 5$$. In order for 1260 to be the LCM, N has to be a multiple of $$3^2$$ and of 7 (because 60 is not a multiple of either of these). N also cannot introduce a factor that would require the LCM to be larger (as in choice b).
Question 2 Explanation:
Topic: Least Common Multiple (Objective 0018)
 Question 3

#### II and III

Hint:
Problem I is partitive (or partitioning or sharing) -- we put 12 objects into 3 groups. Problems II and III are quotative (or measurement) -- we put 12 objects in groups of 3.

#### All three problems model the same meaning of division

Question 3 Explanation:
Topic: Understand models of operations on numbers (Objective 0019).
 Question 4

#### 100

Hint:
6124/977 is approximately 6.

#### 200

Hint:
6124/977 is approximately 6.

#### 1,000

Hint:
6124/977 is approximately 6. 155 is approximately 150, and $$6 \times 150 = 3 \times 300 = 900$$, so this answer is closest.

#### 2,000

Hint:
6124/977 is approximately 6.
Question 4 Explanation:
Topics: Estimation, simplifying fractions (Objective 0016).
 Question 5

#### Which of the numbers below is a fraction equivalent to $$0.\bar{6}$$?

 A $$\large \dfrac{4}{6}$$Hint: $$0.\bar{6}=\dfrac{2}{3}=\dfrac{4}{6}$$ B $$\large \dfrac{3}{5}$$Hint: This is equal to 0.6, without the repeating decimal. Answer is equivalent to choice c, which is another way to tell that it's wrong. C $$\large \dfrac{6}{10}$$Hint: This is equal to 0.6, without the repeating decimal. Answer is equivalent to choice b, which is another way to tell that it's wrong. D $$\large \dfrac{1}{6}$$Hint: This is less than a half, and $$0.\bar{6}$$ is greater than a half.
Question 5 Explanation:
Topic: Converting between fraction and decimal representations (Objective 0017)
There are 5 questions to complete.

If you found a mistake or have comments on a particular question, please contact me (please copy and paste at least part of the question into the form, as the numbers change depending on how quizzes are displayed).   General comments can be left here.