Form 2 Mathematics
The figure below represents a triangular tower garden ABC in which AB = 4 in, BC = 5m and ∠BCA = 30°. Point D lies on AC such that BD = 4 m and ∠BDC is obtuse.
Find, correct to 2 decimal places:
(a) ∠BDC; (b) the length of AD; (c) the length of DC; (d) the area of the flower garden ABC.
answers
Form 4 Mathematics
State the amplitude and the phase angle of the curve y = 2 sin ( 3/2 x — 30°)
answer
Form 3 Mathematics
Without using mathematical tables or a calculator, evaluate sin 30°-sin60 °/tan60°
answer
Form 2 MathematicsA boat which travels at 5 km/h in still water is set to cross a river which flows from the north at 6km/h. The boat is set on a course of x0 with the north. (a) Given that cos x0 = 3/5 , calculate (i) The resultant speed of the boat ( 2 marks) (ii) The angle which the track makes with the north ( 2 marks) (b) If the boat is to sail on a bearing of 1350, calculate the bearing of possible course on which it can be set ( 4 marks)
Answer
Form 2 Mathematics
The figure below shows a quadrilateral ABCD in which AB = 8 cm, DC = 12 cm, ∠BAD = 450, ∠CBD = 900 and ∠BCD = 300.
Find: (a) the length of BD ( 1 mark) (b) The size of the angle ADB (2 marks)
Answer
Form 2 Mathematics
Given that sin (90 – x)0 = 0.8, where x is an acute angle, find without using mathematical tables the value of tan x0.
Answer
Form 3 Mathematics
Given that x is an acute angle and cos x = 2/5 √5 find, without using mathematical tables or a calculator, tan (90-x).
answer
Form 2 Mathematics
A man who can swim at 5km/h in still water swims towards the east to cross a river. If the river flows from north to south at the rate of 3km/h
a) Calculate: i) The resultant speed ii) The drift b) If the width of the river is 30m, find the time taken, in seconds, for the man to cross the river.
Answer
Form 2 Mathematics
A triangular plot ABC is such that the length of the side AB is two thirds that of BC. The ratio of the lengths AB:AC = 4:9 and the angle at B is obtuse.
a) The length of the side BC
b)
i) The area of the plot
iii) The size of ∠ABC
Answer
Form 2 Mathematics
In the figure below, AC = 12cm, AD =15 cm and B is point on AC, <BAD= DB=30.
Calculate , correct to one decimal place
a) The length of CD: b) The length of AB c) The area of triangle BCD d) The size of <BDC
answers
Form 2 Mathematics
In the figure below PQRS is a trapezium with SR parallel to PQSR = 5cm, RQ = 4cm, QS = 8cm and PQ = 10cm.
Calculate:
Answer
Form 2 Mathematics
A piece of wire is bent into the shape of an isosceles triangle. The base angles are each 48° and the perpendicular height to the base is 6 cm. Calculate,
correct to one decimal place, the length of the wire.
answer
Form 4 Mathematics
Determine the amplitude and period of the function, y = 2 cos (3x — 45)°.
answers
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AuthorMaurice A Nyamoti is a Mathematics/ Computer Teacher and has passion to assist students improve grades RSS_FEED
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