General Mathematics Quiz

10 Minutes to Answer the Questions

1 / 10

Calculate the derivative of the function f(x) = 3x²-2x+1

F’(x) = 5x – 2

F’(x) = 6x

F’(x) = 6x – 2

2 / 10

Solve the system of equations:
2x + 3y = 12 and 4x - 2y = 8

x = 2 , y = 3

x = 4 , y = 3

x = 3 , y = 2

3 / 10

Given the data set (12, 18, 15, 21, 24), find the mean.

4 / 10

Find the area of a triangle with base 8 units and height 10 units.

5 / 10

Find the value of Sin (45^o) + Cos (45^o).

1/√2

√2

3/√2

6 / 10

If 5 shirts cost $60, how much would 8 shirts cost?

$55

$82

$96

7 / 10

Calculate the circumference of a circle with a radius of 6 units.

10pi

12pi

13pi

8 / 10

If a fair six-sided die is rolled, what is the probability of rolling an even number?

1/2

1/3

1/6

9 / 10

Solve for x; 2x - 5 = 3x + 2

x = -7

x = -5

x = -12

10 / 10

If $5000 is invested at an annual interest rate of 4%, calculate the interest after 3 years using simple interest.

$500

$600

$650

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General Mathematics Quiz

Calculate the derivative of the function f(x) = 3x²-2x+1

Apply the power rule for differentiation, which states that the derivative of axⁿ = nax^(x-1).

In this case, differentiate each term of the function f(x) = 3x² - 2x+1 to get F'(x) = 6x – 2

Solve the system of equations:
2x + 3y = 12 and 4x - 2y = 8

2x + 3y = 12 ; 2x = 12 - 3y ; x = (12 - 3y) / 2

4x - 2y = 8 ; 4((12 - 3y) / 2) - 2y = 8 ; 24 - 6y - 2y = 8

16 = 8y ; y = 2

So; x = (12 - 3 * 2) / 2 ; x = 3

Given the data set (12, 18, 15, 21, 24), find the mean.

To find the mean, add up all the numbers and then divide by the count of numbers.

(12 + 18 + 15 + 21 + 24) / 5 = 90 / 5 = 18

Find the area of a triangle with base 8 units and height 10 units.

Use the formula for the area of a triangle:

Area = ½ x Base x Height.

Area = ½ x 8 x 10

Area = 40 units²

Find the value of Sin (45^o) + Cos (45^o).

Sin (45^o) = 1/√2 ; Also Cos (45^o) = 1/√2

1/√2 + 1/√2 = 2/√2 = √2

If 5 shirts cost $60, how much would 8 shirts cost?

Cost of 1 shirt = $60/5 = $12

Cost of 8 shirts = $12 x 8 = $96

Calculate the circumference of a circle with a radius of 6 units.

The circumference of a circle is given by C = 2(pi)r.

Substitute r = 6 into the formula to get C = 12pi units.

If a fair six-sided die is rolled, what is the probability of rolling an even number?

On a fair six-sided die, there are three even numbers (2, 4, 6) out of a total of six possible outcomes. Therefore, the probability of rolling an even number is 3/6 = 1/2.

Solve for x; 2x - 5 = 3x + 2

Start by subtracting 2x from both sides to get -5 = x + 2. Then, subtract 2 from both sides to isolate x, resulting in x = -7.

If $5000 is invested at an annual interest rate of 4%, calculate the interest after 3 years using simple interest.

Use the formula for simple interest: I = Prt, where I is the interest, P is the principal, is the interest rate, and t is the time in years. Plug in P = 5000, r = 0.04, and t = 3.

I = 5000 x 0.04 x 3

I = 600

General Mathematics Quiz

Calculate the derivative of the function f(x) = 3x2-2x+1

Apply the power rule for differentiation, which states that the derivative of axn = nax(x-1).

In this case, differentiate each term of the function f(x) = 3x2 - 2x+1 to get F'(x) = 6x – 2

Solve the system of equations:2x + 3y = 12 and 4x - 2y = 8

2x + 3y = 12 ; 2x = 12 - 3y ; x = (12 - 3y) / 2

4x - 2y = 8 ; 4((12 - 3y) / 2) - 2y = 8 ; 24 - 6y - 2y = 8

16 = 8y ; y = 2

So; x = (12 - 3 * 2) / 2 ; x = 3

Given the data set (12, 18, 15, 21, 24), find the mean.

To find the mean, add up all the numbers and then divide by the count of numbers.

(12 + 18 + 15 + 21 + 24) / 5 = 90 / 5 = 18

Find the area of a triangle with base 8 units and height 10 units.

Use the formula for the area of a triangle:

Area = ½ x Base x Height.

Area = ½ x 8 x 10

Area = 40 units2

Find the value of Sin (45o) + Cos (45o).

Sin (45o) = 1/√2 ; Also Cos (45o) = 1/√2

1/√2 + 1/√2 = 2/√2 = √2

If 5 shirts cost $60, how much would 8 shirts cost?

Cost of 1 shirt = $60/5 = $12

Cost of 8 shirts = $12 x 8 = $96

Calculate the circumference of a circle with a radius of 6 units.

The circumference of a circle is given by C = 2(pi)r.

Substitute r = 6 into the formula to get C = 12pi units.

If a fair six-sided die is rolled, what is the probability of rolling an even number?

On a fair six-sided die, there are three even numbers (2, 4, 6) out of a total of six possible outcomes. Therefore, the probability of rolling an even number is 3/6 = 1/2.

Solve for x; 2x - 5 = 3x + 2

Start by subtracting 2x from both sides to get -5 = x + 2. Then, subtract 2 from both sides to isolate x, resulting in x = -7.

If $5000 is invested at an annual interest rate of 4%, calculate the interest after 3 years using simple interest.

Use the formula for simple interest: I = Prt, where I is the interest, P is the principal, is the interest rate, and t is the time in years. Plug in P = 5000, r = 0.04, and t = 3.

I = 5000 x 0.04 x 3

I = 600

Calculate the derivative of the function f(x) = 3x²-2x+1

Apply the power rule for differentiation, which states that the derivative of axⁿ = nax^(x-1).

In this case, differentiate each term of the function f(x) = 3x² - 2x+1 to get F'(x) = 6x – 2

Solve the system of equations:
2x + 3y = 12 and 4x - 2y = 8

Area = 40 units²

Find the value of Sin (45^o) + Cos (45^o).

Sin (45^o) = 1/√2 ; Also Cos (45^o) = 1/√2