FREE FTCE Middle Grades 5-9 Questions and Answers

Question 1

On a coordinate plane, which quadrant does the point (-5, -5) reside?

Accepted Answer

III

Answer

A coordinate plane is divided into four quadrants. Quadrant I has positive x and positive y values (+,+), Quadrant II has negative x and positive y values (-,+), and Quadrant IV has positive x and negative y values (+,-). Since the point (-5, -5) has both negative x and negative y coordinates, it resides in Quadrant III.

Question 2

Solve 112 - 48.

Accepted Answer

64

Answer

To solve 112 - 48, you perform a simple subtraction. Starting from the right, 2 minus 8 requires borrowing from the tens place, making it 12 minus 8, which is 4. Then, in the tens place, 0 minus 4 (after borrowing) requires borrowing from the hundreds place, making it 10 minus 4, which is 6. The final result is 64.

Question 3

A rectangular prism with dimensions of 2.5 centimeters in length, 4.0 centimeters in width, and 3.8 centimeters in height has what surface area?

Accepted Answer

69.4 cm²

Answer

The surface area of a rectangular prism is calculated using the formula 2(lw + lh + wh), where l is length, w is width, and h is height. Substituting the given dimensions (l=2.5 cm, w=4.0 cm, h=3.8 cm) into the formula yields 2((2.5 * 4.0) + (2.5 * 3.8) + (4.0 * 3.8)). This simplifies to 2(10 + 9.5 + 15.2) = 2(34.7) = 69.4 cm².

Question 4

What is true about y = mt if m = 3 and t = 4?

Accepted Answer

If y = mt then y = 12.

Answer

The equation given is y = mt. To find the value of y, substitute the provided values for m and t into the equation. Given m = 3 and t = 4, the calculation becomes y = 3 * 4. Performing the multiplication, we find that y = 12. Therefore, the statement 'If y = mt then y = 12' is true under these conditions.

Question 5

0.045 is to be expressed as a percentage.

Accepted Answer

4.50%

Answer

To express a decimal as a percentage, you multiply the decimal by 100 and then add the percent symbol. In this case, 0.045 multiplied by 100 equals 4.5. Therefore, 0.045 expressed as a percentage is 4.50%.

FTCE Practice Test

FTCE Practice Test

FREE FTCE Middle Grades 5-9 Questions and Answers