If tan x = \(\frac{4}{3}\), 0\(^o\) < x < 90\(^o\), find the value of sin x – cos x
- A. \(\frac{1}{10}\)
- B. \(\frac{1}{5}\)
- C. \(\frac{5}{12}\)
- D. 1\(\frac{2}{5}\)
A piece of thread of length 21.4cm is used to form a sector of a circle of radius 4.2cm on a piece of cloth. Calculate, correct to the nearest degree, the angle of the sector. [Take \(\pi = \frac{22}{7}\)]
- A. 170\(^o\)
- B. 177\(^o\)
- C. 182\(^o\)
- D. 192\(^o\)
Donations during the launching of a church project were sent in sealed envolopes. The table shows the distribution of the amount of money in the envelope. How much was the donation?
- A. N26,792.00
- B. N26,972.00
- C. N62.792.00
- D. N62,972.00
In the diagram, PQ is a straight line, (m + n) = 110\(^o\) and (n + r) = 130\(^o\) and (m + r) = 120\(^o\). Find the ratio of m : n : r
- A. 2 : 3 : 4
- B. 3 : 4 : 5
- C. 4 : 5 : 6
- D. 5 : 6 : 7
In the diagram, PQ//RS. Find x in terms of y and z
- A. x = 240\(^o\) - y - z
- B. x = 180\(^o\) - y - z
- C. x = 360\(^o\) + y -z
- D. x = 360\(^o\) - y - z
The diagram shows a trapezium inscribed in a semi-circle. If O is the mid-point of WZ and |WX| = |XY| = |YZ|, calculate the value of m
- A. 90\(^o\)
- B. 60\(^o\)
- C. 45\(^o\)
- D. 30\(^o\)
The solution of x + 2 \(\geq\) 2x + 1 is illustrated
- A. i
- B. ii
- C. iii
- D. iv
In the diagram, WXYZ is a rectangle with diamension 8cm by 6cm. P, Q, R and S are the midpoints of the rectangle as shown. Using this information calculate the area of the part of the rectangle that is not shaded
- A. 25cm\(^2\)
- B. 24cm\(^2\)
- C. 16cm\(^2\)
- D. 12cm\(^2\)
In the diagram, PS and RS are tangents to the circle centre O. ∠PSR = 70°, ∠POR = m, and ∠PSR =n. Find ( m + n ).
- A. 110\(^o\)
- B. 135\(^o\)
- C. 165\(^o\)
- D. 225\(^o\)
In the diagram, WXYZ is a rectangle with dimension 8cm by 6cm. P, Q, R and S are the midpoints of the sides of the rectangle as shown. Using this information, what type of quadrilateral is the shaded region?
- A. Trapezium
- B. Prism
- C. Rectangle
- D. Rhombus
In the diagram, PR is a tangent to the circle at Q, QT//RS, < SQR = 35º and < RSQ = 50º. Find the value of <QST
- A. 40\(^o\)
- B. 65\(^o\)
- C. 85\(^o\)
- D. 95\(^o\)
Find the value of t in the diagram
- A. 63\(^o\)
- B. 117\(^o\)
- C. 126\(^o\)
- D. 234\(^o\)
Find the mean deviation of 20, 30, 25, 40, 35, 50, 45, 40, 20 and 45
- A. 8
- B. 9
- C. 10
- D. 12
Find the median of 2, 1, 0, 3, 1, 1, 4, 0, 1 and 2
- A. 0.0
- B. 0.5
- C. 1.0
- D. 1.5
If P and Q are two statements, under what condition would p|q be false?
- A. If p is true and q is true
- B. If p is true and q is false
- C. If p is false and q is false
- D. If p is false and q is true
In the diagram, which of the following ratios is equal to \(\frac{|PN|}{|PQ|}\)?
- A. \(\frac{|PN|}{|PR|}\)
- B. \(\frac{|PM|}{|PQ|}\)
- C. \(\frac{|PM|}{|PR|}\)
- D. \(\frac{|PR|}{|PQ|}\)
The angle of elevation of the top of a tree from a point 27m away and on the same horizontal ground as the foot of the tree is 30\(^o\). Find the height of the tree.
- A. 27m
- B. 13.5 \(\sqrt{3m}\)
- C. 13.5 \(\sqrt{2m}\)
- D. 9\(\sqrt{3m}\)
Expression 0.612 in the form \(\frac{x}{y}\), where x and y are integers and y \(\neq\) 0
- A. \(\frac{153}{250}\)
- B. \(\frac{68}{111}\)
- C. \(\frac{61}{100}\)
- D. \(\frac{21}{33}\)
If x : y = \(\frac{1}{4} : \frac{3}{8}\) and y : z = \(\frac{1}{3} : \frac{4}{9}\), find x : z
- A. 2:3
- B. 3:4
- C. 3:8
- D. 1:2
Find the inter-quartile range of 1, 3, 4, 5, 8, 9, 10, 11, 12, 14, 16
- A. 6
- B. 7
- C. 8
- D. 9