If tan x = \(2\frac{2}{5}\), find the value of sin x; 0 \(\leq\) x \(\leq\) 90o
- A. 5/13
- B. 5/12
- C. 144/169
- D. 12/13
- E. 13/12
If sin\(\theta\) cos\(\theta\), for 0o \(\leq\) θ \(\leq\) 360o, find the value of \(\theta\)
- A. 45o, 225o
- B. 135o, 315o
- C. 45o, 315o
- D. 135o, 225o
- E. 45o, 135o
In the diagram above, AB, CD and XY are straight lines intersecting at W. Find ∠CWX
- A. 20o
- B. 80o
- C. 100o
- D. 120o
- E. 140o
The trapezium PQRS parallel to SR,∠PQS = 34o and ∠SPQ = 2 ∠SRQ. Find the size of, SQR
- A. 58o
- B. 68o
- C. 78o
- D. 90o
- E. 112o
Two angles (a + 31) and (b – 49o) are adjacent angles on a straight line. Which of the following is true
- A. a + b = 198o
- B. a + b = 180o
- C. a + b = 162o
- D. a + b = 100o
- E. a + b = 80o
In the diagram above, ∠SPQ = 79o. Find ∠SRQ
- A. 11o
- B. 391/2
- C. 79o
- D. 90o
- E. 101o
In the diagram above, KLMN is a cyclic quadrilateral. /KL/ = /KN/, ∠NKM = 55o and ∠KML = 40o. Find ∠LKM
- A. 35o
- B. 40o
- C. 45o
- D. 50o
- E. 55o
In the diagram above, PQ is a tangent to the circle MTN at T. What is the size of ∠MTN?
- A. 52o
- B. 54o
- C. 66o
- D. 72o
- E. 128o
In the diagram, ∠PMN = ∠PRQ and ∠PNM = ∠PQR. If /Pm/ = 3cm, /MQ/ = 7cm and /PN/ = 5cm, find /NR/
- A. 1cm
- B. 3cm
- C. 31/2
- D. 5cm
- E. 6cm
In the diagram above, /PQ/ = /PS/ and /QR/ = /SR/. Which of the following is/are true? i. the line PR bisects ∠QRS ii. The line PR is the perpendicular bisector of the line segment QS iii. Every point on PR is equidistant from SP and QP
- A. I only
- B. III only
- C. I and II only
- D. I and III only
- E. I, II and III
In the diagram above, PQ is parallel to RST. /RS/ = /SQ/ = /TQ/ and ∠PQR = 35o.Calculate ∠SQT
- A. 30o
- B. 35o
- C. 40o
- D. 70o
- E. 110o
Which of the following is not true? You may construct a
- A. triangle given all the three sides
- B. triangle given one side and two angles
- C. triangle given two sides and the included angle
- D. quatrilateral given all the four sides
- E. parallelogram given two adjacent sides and the diagonal joining them
In the diagram above, TRQ is a straight line. Find p, if p = 1/3(a + b + c)
- A. 45o
- B. 60o
- C. 90o
- D. 120sup>o
- E. 150o
In the diagram above, find x correct to the nearest degree
- A. 15o
- B. 25o
- C. 26o
- D. 36o
- E. 72o
Each interior angle of a regular nonagon(nine sided polygon) is equal to
- A. 160o
- B. 144o
- C. 140o
- D. 132o
- E. 36o
How many sides has a polygon if the sum of its interior angle is 1440o?
- A. 6
- B. 7
- C. 8
- D. 9
- E. 10
The angle of a sector of a circle of radius 35cm is 288o. Find the perimeter of the sector. [Take π = 22/7]
- A. 246cm
- B. 211cm
- C. 141cm
- D. 114cm
- E. 44cm
two towns X and Y both on latitude 60oS have longitude 27oE and 33oW respectively. Find to the nearest kilometers, the distance between X and Y measured along the parallel of latitude. [Take 2πR = 4 x 104km, where R is the Radius of the earth]
- A. 28850km
- B. 16667km
- C. 8333km
- D. 6667km
- E. 3333km
One side of a rectangle is 8cm and the diagonal is 10cm. What is the area of the rectangle?
- A. 80cm2
- B. 48cm2
- C. 40cm2
- D. 36cm2
- E. 24cm2
Find, correct to 1 decimal place, the volume of cylinder of height 8cm and base radius 3cm. [Take π = 3.142]
- A. 503.0cm3
- B. 300.0cm3
- C. 250.0cm3
- D. 226.2cm3
- E. 150.9cm3
If the hypotenuse of a right-angle isosceles triangle is 2, what is the length of each of the other side?
- A. 1/√2
- B. √2 - 1
- C. 1
- D. √2
- E. √3