If x + 1 is a factor of x³ + 3x² + kx + 4, find the value of k

• A. 6
• B. -6
• C. 8
• D. -8

If U = {x : x is an integer and 1 ≤ x ≤ 20 }

E1 = {x: x is a multiple of 3}

E2 = {x: x is a multiple of 4} and an integer is picked at random from U, find the probability that it is not in E2

• A. \(\frac{3}{4}\)
• B. \(\frac{3}{10}\)
• C. \(\frac{1}{4}\)
• D. \(\frac{1}{20}\)

Which of the following is a factor of rs + tr - pt - ps?

• A. (p - s)
• B. (s - p)
• C. (r - p)
• D. (r + p)

The sides of a right angle triangle in ascending order of magnitude are 8cm, (x-2)cm and x cm. Find x

• A. 16
• B. 17
• C. 34
• D. 90

If cos x = -0.7133, find the values of x between 0\(^o\) and 360\(^o\)

• A. 44.5\(^o\) , 224.5\(^o\)
• B. 123.5\(^o\) , 190.5\(^o\)
• C. 135.5\(^o\) , 213.5\(^o\)
• D. 135.5\(^o\) , 224.5\(^o\)

Which of the following statement is true for the ste P = {-3.2 ≤ x < 5} where x is an integer?

• A. least value of x is -3.2
• B. least value of x is -3
• C. greatest value of x is 4.9
• D. greatest value of x is 5

Divide the expression x³ + 7x² - x - 7 by -1 + x²

• A. -x³ + 7x² - x - 7
• B. -x³ = 7x + 7
• C. x - 7
• D. x + 7

The total number of digits used in numbering the pages of a book having 336 pages is:

• A. 732
• B. 990
• C. 1098
• D. 1305

Calculate the mean deviation of 1, 2, 3, 4, 5, 5, 6, 7, 8, 9.

• A. 2
• B. 3
• C. 4
• D. 5

The probability that Kofi and Ama hit a target in a shooting competition are \(\frac{1}{6}\) and \(\frac{1}{9}\) respectively. What is the probability that only one of them hit the target?

• A. \(\frac{1}{54}\)
• B. \(\frac{13}{54}\)
• C. \(\frac{20}{27}\)
• D. \(\frac{41}{54}\)