Ged Math practice test 2 - online test

A cylindrical container is filling up with water. The container is 18 ft tall with a diameter of 4.5 ft.
How much water will fit in the container if it is filled to the brim?

Mathematical Reasoning lesson Math practice test 2 exam questions 1 question 1 Answer

Mathematical Reasoning lesson Math practice test 2 exam questions 1 question 2 Answer

Mathematical Reasoning lesson Math practice test 2 exam questions 1 question 3 Answer

Mathematical Reasoning lesson Math practice test 2 exam questions 1 question 4 Answer

To compute for the volume of the cylindrical tank, use the formula: Volume = Area of the circle base × Height of the cylinder The area of the circle is Mathematical Reasoning lesson Math practice test 2 exam questions 1. question explanation, and the radius, r, is half the diameter. So Mathematical Reasoning lesson Math practice test 2 exam questions 1. question explanation Mathematical Reasoning lesson Math practice test 2 exam questions 1. question explanation Use the approximation Mathematical Reasoning lesson Math practice test 2 exam questions 1. question explanation. Mathematical Reasoning lesson Math practice test 2 exam questions 1. question explanation Mathematical Reasoning lesson Math practice test 2 exam questions 1. question explanation Mathematical Reasoning lesson Math practice test 2 exam questions 1. question explanation

Which equation runs through point (2,-3) with slope 4?

y = 2x - 3

y = 4x - 11

y= 5x - 9

y = 3x - 2

The equations given are straight-line equations in the slope-intercept form, that is: y = mx + b, where m is the slope and b is the value of y when x = 0 (the y-intercept) The equation for the line with a slope of 4 will look something like this: y = 4x + b From the choices, this is the only one following this format and is the obvious answer. However, if there were other choices of equations with a slope of 4, or you need to check to see if the line does pass through (2,-3), do the following: Plug the values of x and y (2,-3) to solve for b: y = 4x + b -3 = 4(2) + b b = -3 - 8 = -11 Therefore, the line y = 4x - 11 passes through the given point (2,-3).

Lucy is building a fence for her pigpen so that the pigs cannot escape. The area of the rectangular pigpen is 96 sq ft. The length of the pigpen measures 12 ft.
What is the width, in feet?

10

6

8

12

The formula for the area of a rectangle is: Mathematical Reasoning lesson Math practice test 2 exam questions 3. question explanation
Mathematical Reasoning lesson Math practice test 2 exam questions 3. question explanation
Isolate "width" on one side of the equation by dividing both sides by 12.
96(sq ft)/12(ft) = Width
8 ft=Width

What is the greatest common factor of 48 and 120?

24

3

240

12

The greatest common factor (GCF) is also called greatest common divisor, or highest common factor. For 2 or more numbers, the largest positive number that divides the given numbers without remainder is the GCF. For 120 and 48, number 24 is the GCF. That is, Mathematical Reasoning lesson Math practice test 2 exam questions 4. question explanation and Mathematical Reasoning lesson Math practice test 2 exam questions 4. question explanation No number higher than 24 can divide both numbers and come up with a positive whole number.

Chad wants to paint one wall of the shed in his backyard and needs to find its area to calculate his paint needs. Strangely enough, the shed wall is triangle shaped.
What formula should he use to find the area of that wall?

A = 2π(r)

Mathematical Reasoning lesson Math practice test 2 exam questions 5 question 2 Answer

A = 2 (base \u00D7 height)

A = π(d)

The area of a triangle can be computed from the formula: Mathematical Reasoning lesson Math practice test 2 exam questions 5. question explanation Alternately, you might remember the formula as Mathematical Reasoning lesson Math practice test 2 exam questions 5. question explanation

Now that WWE is coming to an end, Howard is building a wrestling arena in his backyard to nurture the new wrestling craze.
If the diameter of his circular arena is 20 ft, how many feet of fencing does he need to make the border of the ring?

40.6 feet

125.6 feet

31.4 feet

62.80 feet

To find the length of the fence to circle the arena, you need to compute for its circumference. The formula for circumference is: C = π × diameter C = 3.14 × 20 = 62.8 feet TIP: For a quick estimate, you can use π = 3. In this problem, the answers given in the choices are quite far apart in value, so estimating will work fine. C = 3 × 20 = 60. The closest answer choice to 60 is 62.80 feet.

Which area is bigger: a circle with a diameter of 10 feet or a triangle with an area of 100 sq ft?

There is not enough information.

The 100 sq ft triangle has more area.

They both have the same area.

Circles are always bigger than triangles.

A 10 ft diameter circle lies inside a 10 ft by 10 ft square whose area is 100 sq ft. The inside circle thus has an area less than 100 sq.ft. Therefore, the triangle's given area of 100 sq ft is bigger. Note: You could also use area formulas to find this answer, but this is the type of "thinking" problem you will find on standardized tests. It tests your ability to visualize and find the answer. If you can visualize to solve it, you will also save time during testing. If you decided to find the area of the circle and compare the two, you'd use this formula: Since the diameter is 10\;ft, the radius is 5 ft. which is less than

A shipping container is 80 ft long and 2.5 ft wide. The amount of space inside is approximately 2,000 cu ft.
How many feet high is the box?

12.5

25

10

20

We use cubic units to measure volume. The formula for volume or capacity of solid figures with a square or rectangular base is: V = length u00D7 width u00D7 height = LWH Plug the given numbers into this equation: 2000 = 80 × 2.5 × H 2000 = 200 × H Mathematical Reasoning lesson Math practice test 2 exam questions 8. question explanation 10 ft = H

Andrew is looking to sell his house and is asking $20 per square foot. His house is 2,200 sq ft. His agent is going to charge 20% of the selling price.
Which of the following equations represents how much money Andrew will make if he sells his house for the asking price?
Y = the amount Andrew will make before he pays his agent
X = the amount Andrew will make after paying his agent

X = 2200 - 0.2Y

X = Y - 0.2Y

X = Y - 0.2X

X = Y - 20Y

Let Y be Andrew's total selling price for his house. Let X be the amount Andrew makes after he pays 20% to his agent.
X = total selling price - 20% of total selling price
X = Y - 0.2Y
You can check to see if the answer makes sense. You know Y=2200 × $20=$44,000 is the selling price of the house. The agent makes 20% × $44,000= 0.2 × $44,000=$8,800. So, Andrew makes $44,000-$8,800=$35,200. This is consistent with using the formula:
X = Y - 0.2Y
X=$44,000-0.2 × $44,000
X=$44,000-$8,800
X = $35,200

A triangle has two equal sides and one angle that is Mathematical Reasoning lesson Math practice test 2 exam questions 10. question
What are the other two angles?

Mathematical Reasoning lesson Math practice test 2 exam questions 10 question 1 Answer

Mathematical Reasoning lesson Math practice test 2 exam questions 10 question 2 Answer

Mathematical Reasoning lesson Math practice test 2 exam questions 10 question 3 Answer

Mathematical Reasoning lesson Math practice test 2 exam questions 10 question 4 Answer

The sum of the three angles in any triangle will always be Mathematical Reasoning lesson Math practice test 2 exam questions 10. question explanation. Hence, The sum of all angles = u22201+u22202+u22203 Mathematical Reasoning lesson Math practice test 2 exam questions 10. question explanation Mathematical Reasoning lesson Math practice test 2 exam questions 10. question explanation Mathematical Reasoning lesson Math practice test 2 exam questions 10. question explanation A triangle with two equal sides will also have two equal angles, so u22201=u22202. Substitute now: Mathematical Reasoning lesson Math practice test 2 exam questions 10. question explanation Mathematical Reasoning lesson Math practice test 2 exam questions 10. question explanation Mathematical Reasoning lesson Math practice test 2 exam questions 10. question explanation Again since u22201=u22202, then Mathematical Reasoning lesson Math practice test 2 exam questions 10. question explanation also.

The fence enclosing a square patio is 60 ft.
What is the area of the patio in square feet?

180

225

3600

900

Since a square has four equal sides, each side is or 15 ft. To solve for the square patio's area: Area = length of side \u00D7 length of side

A pole vault stick is leaning against a wall, touching the wall 16 ft above the ground. The bottom end of the stick is 12 ft from the wall.
How many feet long is the stick?

20

22

28

4

The situation described will give the figure of a right triangle with the vertical line measuring 16 feet, the horizontal line measuring 12 feet, and the hypotenuse (or the diagonal line) of unknown length. When you see a right-triangle type of problem, check first to see if it can be solved using the many special properties of right triangles. This will simplify computation. For example, the Pythagorean theorem can be used in this case: Mathematical Reasoning lesson Math practice test 2 exam questions 12. question explanation Mathematical Reasoning lesson Math practice test 2 exam questions 12. question explanation Mathematical Reasoning lesson Math practice test 2 exam questions 12. question explanation Mathematical Reasoning lesson Math practice test 2 exam questions 12. question explanation 20 = c
TIP: Take note that the two perpendicular sides measuring 12 and 16 can be reduced to 3 and 4 (by dividing both numbers by their common factor, 4). A right triangle with the 2 perpendicular sides given in the ratio of 3:4 will always have a hypotenuse of 5. This suggests that the right triangle is a special 3-4-5 or 3:4:5 triangle. The hypotenuse, then, is: Mathematical Reasoning lesson Math practice test 2 exam questions 12. question explanation Mathematical Reasoning lesson Math practice test 2 exam questions 12. question explanation The result will be the same using Mathematical Reasoning lesson Math practice test 2 exam questions 12. question explanation Mathematical Reasoning lesson Math practice test 2 exam questions 12. question explanation