PRAXIS Elementary Education: Math Content Knowledge

Question 1

A student is asked to place 3/4 and 7/8 on a number line. Which fraction is greater, and how do you know?

Accepted Answer

7/8, because it is closer to 1 whole than 3/4

Answer

3/4, because 3 is closer to 4 than 7 is to 8

Answer

7/8, because it has a larger numerator

Answer

They are equal because both are close to 1

Question 2

What is the value of the digit 6 in the number 3,645?

Accepted Answer

600

Answer

6

Answer

60

Answer

6,000

Question 3

A rectangle has a length of 8 units and a width of 5 units. What is its area?

Accepted Answer

40 square units

Answer

13 square units

Answer

26 square units

Answer

80 square units

Question 4

Which property is demonstrated by: 4 × (3 + 2) = (4 × 3) + (4 × 2)?

Accepted Answer

Distributive property

Answer

Commutative property of multiplication

Answer

Associative property of multiplication

Answer

Identity property of multiplication

Question 5

A student says that 0.3 is greater than 0.25 because '3 is less than 25.' What misconception does this reveal?

Accepted Answer

Both A and C — place value misunderstanding and whole number bias

Answer

The student does not understand place value in decimals.

Answer

The student confuses multiplication and division.

Answer

The student has a whole number bias when comparing decimals.

Question 6

What is the greatest common factor (GCF) of 24 and 36?

Accepted Answer

12

Answer

4

Answer

6

Answer

72

Question 7

A class of 24 students is divided equally into groups. Which number of groups is NOT possible?

Accepted Answer

5 groups

Answer

3 groups

Answer

4 groups

Answer

6 groups

Question 8

A student solves 43 − 18 and gets 35. What error did the student likely make?

Accepted Answer

The student forgot to regroup (borrow) and subtracted 3 − 8 as 8 − 3 = 5.

Answer

The student added instead of subtracting.

Answer

The student made an arithmetic error on the tens digit only.

Answer

The student rounded to the nearest ten.

Question 9

What is 2/3 + 1/4?

Accepted Answer

11/12

Answer

3/7

Answer

3/12

Answer

8/12

Question 10

Which of the following numbers is prime?

Accepted Answer

29

Answer

21

Answer

27

Answer

33