Mathematics Examination - Interactive Version

Time: 02:00:00

NTIC Mathematics Examination

Interactive Assessment Platform

Student Name:

Examination Date:

Duration:

Total Questions:

15

Instructions: Answer all questions. Show your work where applicable. Multiple choice questions have only one correct answer. Fill-in-the-blank questions require exact numerical answers.

Section A: Multiple Choice Questions (10 points each)

Question 1:

Solve for x: 3x + 7 = 22

A) x = 3

B) x = 4

C) x = 5

D) x = 6

Question 2:

What is the derivative of f(x) = x³ + 2x² - 5x + 1?

A) 3x² + 4x - 5

B) 3x² + 4x - 5

C) x² + 2x - 5

D) 3x² + 2x - 5

Question 3:

Calculate the integral: ∫(2x + 3)dx

A) x² + 3x + C

B) 2x² + 3x + C

C) x² + 6x + C

D) 2x + 3x + C

Question 4:

Find the limit: lim(x→2) (x² - 4)/(x - 2)

A) 2

B) 3

C) 4

D) undefined

Question 5:

What is the determinant of the matrix [[2,3],[1,4]]?

A) 4

B) 5

C) 6

D) 7

Section B: Problem Solving (15 points each)

Question 6:

A rectangle has a length of 8 cm and a width of 6 cm. What is the area in square centimeters?

Question 7:

Solve the quadratic equation: x² - 10x + 25 = 0

Enter the value of x:

Question 8:

Find the maximum value of the function f(x) = -x² + 12x - 30

Section C: Advanced Problems (20 points each)

Question 9:

Calculate the area under the curve y = x² from x = 0 to x = 3

A) 8

B) 9

C) 10

D) 12

Question 10:

How many ways can 5 people be arranged in a row?

Calculate 5!

Examination Results