If line p = 5x + 3 is parallel to line p = wx + 5. Find the value of w.

A. 7

B. 3

C. 6

D. 5

Evaluate \(\int\)(cos4x + sin3x)dx

A. sin4x - cos3x + k

B. sin4x + cos3x + k

C. \(\frac{1}{4}\)sin4x - \(\frac{1}{3}\)cos3x + k

D. \(\frac{1}{4}\)sin4x + \(\frac{1}{3}\)cos3x + k

If x₁₀ = 23₅. Find x

A. 15

B. 12

C. 14

D. 13

The pie chart above shows the distribution of subjects offered by students in SSS III level. If 80 students enrolled in the class. What is the size of the angle of the sector in economics?

A. 24^o

B. 39^o

C. 32^o

D. 36^o

Calculate the range of 20, -6, 25, 30, 21, 28, 32, 33, 34, 5, 3, 2, and 1.

A. 32

B. 36

C. 33

D. 40

The bar chart above shows the number of visitors received in a week. How many visitors were received on Friday, Tuesday and Sunday?

A. 17

B. 22

C. 20

D. 16

Factorize k² - 2kp + p².

A. (k +p)²

B. (k - p)²

C. k² + p²

D. k² - p²

Calculate the perimeter of a sector of a circle of raduis 12cm and angle 60o.

A. (12 + 4\(\pi\))cm

B. (24 + 4\(\pi\))cm

C. (12 + 6\(\pi\))cm

D. (24 + 6\(\pi\))cm

\(\begin{array}{c|c}
Marks & 2 & 3 & 4 \\
\hline
Frequency & 4 & 4 & y
\end{array}\)

The table above shows the frequency distribution of marks obtained by a group of students. If the total mark is 48, find the value of y.

A. 6

B. 8

C. 7

D. 5

Given U = {x: x is a positive integer less than 15} and P = {x: x is even number from 1 to 14}. Find the compliment of P.

A. {1, 3, 5, 7, 9, 11, 13, 15}

B. {2, 3, 5, 7, 9, 11, 13}

C. {1, 3, 5, 7, 9, 11, 13}

D. {2, 3, 5, 7, 11, 15}