The sum of four consecutive integers is 34. Find the least of these numbers

• A. 7
• B. 6
• C. 8
• D. 5

(a) Copy and complete the table of values for y = 3Sinx + 7Cosx for 0°

(b) Using a scale of 2cm to 20° on the x-axis and 2cm to 2 units on the y-axis, draw the graph of y = 3Sinx + 7Cosx for 0°

(c) Using the graph, find the;

(i) value of y when x= 150°,

(i) range of values of x for which y > 0.

Find the values of x and y respectively if

\(\begin{pmatrix} 1 & 0 \\ -1 & -1\\ 2 & 2 \end{pmatrix}\) + \(\begin{pmatrix} x & 1 \\ -1 & 0\\ y & -2 \end{pmatrix}\) = \(\begin{pmatrix} -2 & 1 \\ -2 & -1\\ -3 & 0 \end{pmatrix}\)

• A. -3, -2
• B. -5, -3
• C. -2, -5
• D. -3, -5

Find x if 132_x = 70₈.

• A. 5
• B. 3
• C. 6
• D. 1

In the diagram, POQ is the diameter of the circle centre O. Calculate ∠QRS

• A. 35°
• B. 70°
• C. 100°
• D. 125°

(a) A rectangular field is l metres long and b metres wide. Its perimeter is 280 metres. If the length is two and a half times the breadth, find the values of l and b.

(b) The base of a pyramid is a 4.5 metres rectangle. The height of the pyramid is 4 metres. Calculate its volume.

Express 398753 correct to three significant figures

• A. 398000
• B. 398700
• C. 398800
• D. 399000

If P(x - 3) + Q(x + 1) = 2x + 3, find the value of (P + Q).

• A. 0
• B. 1
• C. 2
• D. 3

Evaluate: 2\(\sqrt{28} - 3\sqrt{50} + \sqrt{72}\)

• A. 4\(\sqrt{7} - 21 \sqrt{2}\)
• B. 4\(\sqrt{7} - 11 \sqrt{2}\)
• C. 4\(\sqrt{7} - 9 \sqrt{2}\)
• strong>D. 4\(\sqrt{7} + \sqrt{2}\)

If x, y can take values from the set (1, 2, 3, 4), find the probability that the product of x and y is not greater than 6

• A. 5/8
• B. 5/16
• C. 1/2
• D. 3/8