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Worksheets

Grade 11 Math Challenge

Total questions: 15

Worksheet time: 8mins

Name
Class
Date
1.

Simplify the expression: 3x^2 + 2x - 5

a)

3x^2 + 2x + 5

b)

3x^2 - 2x - 5

c)

3x^2 + 2x - 5

d)

3x^2 + 2x + 5

2.

Find the roots of the quadratic equation: x^2 - 4x + 4 = 0

a)

x = -2

b)

x = 3

c)

x = 5

d)

x = 2

3.

Evaluate the exponential function: f(x) = 2^x when x = 3

a)

6

b)

10

c)

4

d)

8

4.

Solve the trigonometric identity: sin^2(x) + cos^2(x) = 1

a)

1

b)

sin(x) - cos(x) = 1

c)

tan^2(x) + sec^2(x) = 1

d)

sin(x) + cos(x) = 1

5.

Calculate the probability of rolling a prime number on a fair six-sided die

a)

1/4

b)

1/3

c)

1/2

d)

1/5

6.

Factorize the expression: x^2 + 5x + 6

a)

(x + 2)(x + 3)

b)

(x + 3)(x + 4)

c)

(x + 1)(x + 6)

d)

(x + 4)(x + 2)

7.

Determine the vertex of the parabola given by the equation: y = x^2 - 4x + 3

a)

(3, 2)

b)

(4, 1)

c)

(1, 3)

d)

(2, 3)

8.

Simplify the exponential expression: e^(2ln(x))

a)

x^ln(2)

b)

x^2

c)

2^x

d)

ln(x^2)

9.

Prove the trigonometric identity: tan(x) = sin(x)/cos(x)

a)

tan(x) = sin^2(x)/cos(x)

b)

tan(x) = sin(x)/cos(x)

c)

tan(x) = cos(x)/sin(x)

d)

tan(x) = cos(x)/sin(x)

10.

Find the mean of the following data set: {2, 4, 6, 8, 10}

a)

4

b)

6

c)

7

d)

12

11.

Solve the system of equations: 2x + y = 5 and x - y = 1

a)

x = 3, y = 2

b)

x = 2, y = 1

c)

x = 4, y = 3

d)

x = 0, y = -1

12.

Calculate the value of log base 2 of 16

a)

4

b)

2

c)

8

d)

12

13.

Simplify the trigonometric expression: sin(x)cos(x)

a)

sin(x)cos(x)

b)

sin^2(x)cos(x)

c)

2sin(x)cos(x)

d)

0.5sin(2x)

14.

Determine the range of the function f(x) = 2^x

a)

Complex numbers

b)

Only integers

c)

All negative real numbers

d)

All positive real numbers

15.

Find the standard deviation of the data set: {3, 5, 7, 9, 11}

a)

2.0976

b)

4.5

c)

1.5

d)

3.0