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MTEL General Curriculum Mathematics Practice

 Question 1

0 years

Hint:
Range is the maximum life expectancy minus the minimum life expectancy.

12 years

Hint:
Are you subtracting frequencies? Range is about values of the data, not frequency.

18 years

Hint:
It's a little hard to read the graph, but it doesn't matter if you're consistent. It looks like the range for Africa is 80-38= 42 years and for Europe is 88-64 = 24; 42-24=18.

42 years

Hint:
Question 1 Explanation:
Topic: Compare different data sets (Objective 0025).
 Question 2

Exactly one of the numbers below is a prime number.  Which one is it?

 A $$\large511$$Hint: Divisible by 7. B $$\large517$$Hint: Divisible by 11. C $$\large519$$Hint: Divisible by 3. D $$\large521$$
Question 2 Explanation:
Topics: Identify prime and composite numbers and demonstrate knowledge of divisibility rules (Objective 0018).
 Question 3

A sphere

Hint:
All views would be circles.

A cone

Hint:
Two views would be triangles, not rectangles.

A pyramid

Hint:
How would one view be a circle?
Question 3 Explanation:
Topic: Match three-dimensional figures and their two-dimensional representations (e.g., nets, projections, perspective drawings) (Objective 0024).
 Question 4

What is the greatest common factor of 540 and 216?

 A $$\large{{2}^{2}}\cdot {{3}^{3}}$$Hint: One way to solve this is to factor both numbers: $$540=2^2 \cdot 3^3 \cdot 5$$ and $$216=2^3 \cdot 3^3$$. Then take the smaller power for each prime that is a factor of both numbers. B $$\large2\cdot 3$$Hint: This is a common factor of both numbers, but it's not the greatest common factor. C $$\large{{2}^{3}}\cdot {{3}^{3}}$$Hint: $$2^3 = 8$$ is not a factor of 540. D $$\large{{2}^{2}}\cdot {{3}^{2}}$$Hint: This is a common factor of both numbers, but it's not the greatest common factor.
Question 4 Explanation:
Topic: Find the greatest common factor of a set of numbers (Objective 0018).
 Question 5

The commutative property is used incorrectly.

Hint:
The commutative property is $$a+b=b+a$$ or $$ab=ba$$.

The associative property is used incorrectly.

Hint:
The associative property is $$a+(b+c)=(a+b)+c$$ or $$a \times (b \times c)=(a \times b) \times c$$.

The distributive property is used incorrectly.

Hint:
$$(x+3)(x+3)=x(x+3)+3(x+3)$$=$$x^2+3x+3x+9.$$
Question 5 Explanation:
Topic: Justify algebraic manipulations by application of the properties of equality, the order of operations, the number properties, and the order properties (Objective 0020).
There are 5 questions to complete.

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