General Mathematics Quiz

10 Minutes to Answer the Questions

1 / 10

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

x = -7

x = -5

x = -12

2 / 10

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

1/2

1/3

1/6

3 / 10

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

$55

$82

$96

4 / 10

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

1/√2

√2

3/√2

5 / 10

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

$500

$600

$650

6 / 10

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

7 / 10

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

10pi

12pi

13pi

8 / 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

9 / 10

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

10 / 10

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

F’(x) = 5x – 2

F’(x) = 6x

F’(x) = 6x – 2

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The average score is 0%

General Mathematics Quiz

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 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.

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

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 $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

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

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.

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

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

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

General Mathematics Quiz

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 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.

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

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 $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

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

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.

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

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

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

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

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

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

Area = 40 units²

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