Question 1 of 20 4,407 total questions
If cos(x + 40)o = 0.0872, what is the value of x?
In \(\bigtriangleup\) XYZ, /XY/ = 8cm, /YZ/ = 10cm and /XZ/ = 6cm. Which of these relation is true?
A /XY/ + /YZ/ = /XZ/
B /XY/ - /YZ/ = /XZ/
C /XY/2 = /Y/2 - /XY/2
D /YZ/2 = /XZ/2 + /XY/2
The lengths of the minor and major arcs 54cm and 126cm respectively. Calculate the angle of the major sector
The curved surface area of a cylindrical tin is 704cm2 . If the radius of its base is 8cm, find the height. [Take \(\pi = \frac{22}{7}\)]`
Solve the inequality: \(\frac{-m}{2} - \frac{5}{4} \geq \frac{5m}{12} - \frac{7}{6}\)
A m \(\leq \frac{5}{4}\)
B m \(\geq \frac{5}{4}\)
C m \(\leq - \frac{1}{11}\)
D m \(\geq - \frac{1}{11}\)
The sum of 12 and one third of n is 1 more than twice n. Express the statement in the form of an equation
A 12n - 6 = 0
B 3n - 12 = 0
C 2n - 35 = 0
D 5n - 33 = 0
If x + y = 2y - x + 1 = 5, find the value of x
Make p the subject of the relation: q = \(\frac{3p}{r} + \frac{s}{2}\)
A p = \(\frac{2q - rs}{6}\)
B p = 2qr - sr - 3
C p = \(\frac{2qr - s}{6}\)
D p = \(\frac{2qr - rs}{6}\)
Simplify: \(\frac{54k^2 - 6}{3k + 1}\)
A 6(1 - 3k2 )
B 6(3k2 - 1)
C 6(3k - 1)
D 6(1 - 3k)
Solve for x in the equation; \(\frac{1}{x} + \frac{2}{3x} = \frac{1}{3}\)
If N2,500.00 amounted to N3,50.00 in 4 years at simple interest, find the rate at which the interest was charged
A 5%
B 7\(\frac{1}{2}\)%
C 8%
D 10%
Mr. Manu travelled from Accra to Pamfokromb a distance of 720km in 8 hours. What will be his speed in m/s?
A 25m/s
B 150m/s
C 250m/s
D 500m/s
The nth term of a sequence is Tn = 5 + (n - 1)2 . Evaluate T4 - T6
Convert 3510 to number in base 2
A 1011
B 10011
C 100011
D 11001
In 1995, the enrollment of two schools X and Y were 1,050 and 1,190 respectively. Find the ration of the enrollments of X and Y
A 50:11
B 15:17
C 13:55
D 12:11
Simplify; \(\frac{3\sqrt{5} \times 4\sqrt{6}}{2 \sqrt{3} \times 3\sqrt{2}}\)
A \(\sqrt{2}\)
B \(\sqrt{5}\)
C 2\(\sqrt{2}\)
D 2\(\sqrt{5}\)
Express 302.10495 correct to five significant figures
A 302.10
B 302.11
C 302.105
D 302.1049
Find \(\frac{\mathrm d y}{\mathrm d x}\) if \(y = \cos x\).
A \(\sin x\)
B \(- \sin x\)
C \(\tan x\)
D \(- \tan x\)
A man stands on a tree 150 cm high and sees a boat at an angle of depression of 74°. Find the distance of the boat from the base of the tree.
A 52 cm
B 43 cm
C 40 cm
D 15 cm
A circular arc subtends angle 150° at the centre of a circle of radius 12cm. Calculate the area of the sector of the arc.
A 30\(\pi\) cm\(^2\)
B 60\(\pi\) cm\(^2\)
C 120\(\pi\) cm\(^2\)
D 150\(\pi\) cm\(^2\)
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