# FTCE Mathematics Practice Questions

**1. 3.5 + 4 2/5 =**

A: 7 4/5

B: 7.75

C: 7 3/5

D: 7.9

**2. 9(3 ½) =**

A: 27 3/4

B: 31.5

C: 27 1/2

D: 30 3/4

**3. What is the next-highest prime number after 13?**

A: 17

B: 15

C: 14

D: 19

**4. Solve: 4 + 5(3 + 1) ^{2} =**

A: 84

B: 54

C: 74

D: 94

**5. What is the lowest common multiple of 6 and 7?**

A: 35

B: 7

C: 18

D: 42

**6. What is the perimeter of each side of a cube with a volume of 27 cubic inches?**

A: 9 inches

B: 12 inches

C: 14 square inches

D: 5 inches

**7. What is the slope of line expressed in the equation 4x + 2y = 6**

A: 3

B: 2

C: -3

D: -2

**8. Andy averaged 17 points per game during five games of the basketball season. If he scored 12, 24, 20, and 18 in four of the games, how many points did he score in the fifth?**

A: 20

B: 17

C: 15

D: 11

**9. Solve for x: 5(x-3) = 20**

A: 8

B: 10

C: 7

D: 5

**10. Which of the following factors is part of the polynomial x^{2} – 6x + 9 ?**

A: (

*x*+ 3)

B: (

*x*– 3)

C: (

*x*– 6)

D: (

*x*+ 6)

## Answer Key

1. D. Simplify this problem by converting the decimal to a fraction or vice versa.

2. B. This problem may be simplified by converting the mixed number to a decimal.

3. A. 17 is the next greatest number that is divisible only by one and itself.

4. A. Remember the order of operations: parentheses, exponents, multiplication, division, addition, subtraction.

5. D. This number can be found by listing the successive multiples for each number until a common multiple is found.

6. B. The length of each side of a cube can be found by finding the cube root of the volume, in this case 3 inches. The perimeter of a square is the length multiplied by four.

7. D. The equation for slope is *y* = *mx* + *b*, in which *m* is slope.

8. D. Find the total points scored by multiplying the average by the number of games. Then subtract the given scores from the total points scored.

9. C. First multiply the 5 across the parentheses, then add three and divide by 5 on both sides.

10. B. The other factor of the polynomial would also be (x – 3).

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