Free NWEA Math Questions and Answers

Question 1

Value of α:

Accepted Answer

85°

Answer

The sum of the interior angles in any triangle is always 180 degrees. Given two angles of 65° and 30°, their sum is 65° + 30° = 95°. To find the third angle, α, subtract this sum from 180°: α = 180° - 95° = 85°. Thus, the value of α is 85°.

Question 2

6398 ÷ 14 is what?

Accepted Answer

457

Answer

To find the result of 6398 divided by 14, perform long division. 14 goes into 63 four times (4 * 14 = 56), leaving a remainder of 7. Bring down the 9 to make 79. 14 goes into 79 five times (5 * 14 = 70), leaving a remainder of 9. Bring down the 8 to make 98. 14 goes into 98 exactly seven times (7 * 14 = 98), with no remainder. Therefore, 6398 ÷ 14 equals 457.

Question 3

At 48 years old, Roj's father is four times older than Roj.

By the next year, what age will Roj be?

Accepted Answer

13

Answer

First, calculate Roj's current age. If Roj's father is 48 years old and is four times older than Roj, then Roj's current age is 48 ÷ 4 = 12 years old. The question asks for Roj's age 'by the next year.' Adding one year to Roj's current age, Roj will be 12 + 1 = 13 years old.

Question 4

What is the perimeter of Triangle a (on the left) based on the information provided by the images?

Accepted Answer

34

Answer

The perimeter of a triangle is calculated by adding the lengths of all three of its sides. For Triangle 'a', the provided image shows side lengths of 10, 12, and 12. Summing these values gives 10 + 12 + 12 = 34. The information from Triangle 'b', which is identical and explicitly states its perimeter as 34, further confirms this calculation.

Question 5

Which of these coordinates best describes the system of equations' solution?
X+3Y=6

2X+Y=7

Accepted Answer

(3, 1)

Answer

To find the solution to the system of equations, we can use substitution. From the first equation, X + 3Y = 6, we can express X as X = 6 - 3Y. Substitute this expression for X into the second equation, 2X + Y = 7, which yields 2(6 - 3Y) + Y = 7. Simplifying gives 12 - 6Y + Y = 7, leading to 12 - 5Y = 7. Subtracting 12 from both sides results in -5Y = -5, so Y = 1. Finally, substitute Y = 1 back into X = 6 - 3Y to find X = 6 - 3(1) = 3. Thus, the solution is (3, 1).

NWEA - Northwest Evaluation Association Practice Test

NWEA - Northwest Evaluation Association Practice Test

Free NWEA Math Questions and Answers