Using the histogram, estimate the mode of distribution

• A. 51.5
• B. 52.5
• C. 53.5
• D. 54.5

3y = 4x - 1 and Ky = x + 3 are equations of two straight lines. If the two lines are perpendicular to each other, find K.

• A. -4/3
• B. -3/4
• C. 3/4
• D. 4/3

Find The quadratic Equation Whose Roots Are -2q And 5q.

• A. 3x\(^2\) + 3qx - 10q\(^2\)
• B. x\(^2\) + 3qx + 10q\(^2\)
• C. x\(^2\) - 3qx + 10q\(^2\)
• D. x\(^2\) - 3qx - 10q\(^2\)

Find the value of \(\cos(60° + 45°)\) leaving your answer in surd form.

• A. \(\frac{6 + \sqrt{2}}{4}\)
• B. \(\frac{3 + \sqrt{6}}{4}\)
• C. \(\frac{\sqrt{2} - \sqrt{6}}{4}\)
• D. \(\frac{3 - \sqrt{6}}{4}\)

In order for Michael to get a B in his trigonometry class, he needs to have an average of 80 on all his tests. He has one test remaining. His scores on his previous tests are 65,90,78,67. What score does Michael need on his last test to get a B?

• A. 98
• B. 99
• C. 95
• D. 100

The average for a set of 5 numbers is 24. After another number is added to the set, the average changes to 26. What number was added to the set?

• A. 38
• B. The answer cannot be determined with the information given.
• C. 28
• D. 36

(a) Using ruler and a pair of compasses only, construct : (i) quadrilateral PQRS such that /PQ/ = 10 cm, /QR/ = 8 cm, /PS/ = 6 cm, < PQR = 60° and < QPS = 75° ;

(ii) the locus \(l_{1}\) of points equidistant from QR and RS ; (iii) locus \(l_{2}\) of points equidistant from R and S ;

(b) Measure /RS/.

P = {3, 9, 11, 13} and Q = {3, 7, 9, 15} are subset of the universal set = {1, 3, 7, 9, 11, 13, 15} find P^I ∩ Q^I

• A. {3, 9}
• B. {5, 7, 9}
• C. {1}
• D. {1, 11}

Given that \(log_4 x = -3\), find x.

• A. \(\frac{1}{81}\)
• B. \(\frac{1}{64}\)
• C. 64
• D. 81

The diagram shows a cyclic quadrilateral PQRS with its diagonals intersecting at K. Which of the following triangles is similar to triangle QKR?

• A. Δ PQK
• B. Δ PKS
• C. Δ SKR
• D. Δ PSR