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Tambaya 1 Rahoto
PQRS is a cyclic quadrilateral with PQ as diameter of the circle. If < PQS = 15o find < QRS
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Tambaya 2 Rahoto
A trader goes to Ghana for y days with y cedis. For the first x days, he spends X cedis per day. The amount he has to spend per day for the rest of his stay is
Tambaya 3 Rahoto
Simplify \(\frac{5^x \times 25^{x - 1}}{125^{x - 1}}\)
Tambaya 4 Rahoto
If y = x2 - 2x - 3, Find the least value of y and corresponding value of x
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Tambaya 7 Rahoto
On each market day Mrs. Bassey walks to the market from her home at a steady speed. This journey normally takes her 2 hours to complete. She finds, however, that by increasing her usual speed by 1 km/hr she can save 20 minutes. Find her usual speed in km/hr
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Tambaya 8 Rahoto
Simplify \(\frac{x^2 + y^2 + xy}{x + y}\) - \(\frac{x^2 + y^2}{x - y}\)
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Tambaya 9 Rahoto
A father is now three times as old as his son. Twelve years ago he was six times as old as his son. How old are the son and the father?
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Tambaya 15 Rahoto
The area under the speed time graph given the total distance covered by car. What is the average velocity to two places of decimals?
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Tambaya 16 Rahoto
A man is standing in the corridor of a 10-storey building and looking down at a tall tree in front of the building. He sees the top of the tree at angle of depression of 30o. If the tree is 200m tall and the man's eyes are 300m above the ground, calculate the angle of depression of the foot tree as seen by the man
Tambaya 17 Rahoto
A cylinder of height h and radius r is open at one end. Its surface area is
Tambaya 18 Rahoto
(Numbers indicate the lengths of the sides of the triangles) If the area of \(\bigtriangleup\) PQR is k2sq. units what is the area of the shades portion?
Tambaya 20 Rahoto
If x3 - 12x - 16 = 0 has x = -2 as a solution then the equaion has
Tambaya 21 Rahoto
An arc of circle of radius 2cm subtends an angle of 60o at the centre. Find the area of the sector
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Tambaya 22 Rahoto
In the figure, PQ and QR are chords of the circle PQR. QRS is a straight line and PR is equal to RS, < PSR is 20o. What is the size of
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Tambaya 23 Rahoto
12 men complete a job in 9 days. How many men working t the same rate would be required to complete the job in 6 days?
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Tambaya 25 Rahoto
x is directly proportional to y and inversely proportional to z. If x = 9 when y = 24 and z = 8, what is the value of x when y = 5 and z = 6?
Tambaya 27 Rahoto
Rationalize the denominator of the expression \(\frac{6 + 2\sqrt{5}}{4 - 3\sqrt{6}}\)
Tambaya 29 Rahoto
After getting a rise of 15%, a man's new monthly salary is N345. How much per month did he earn before the increase?
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Tambaya 33 Rahoto
Solve the simultaneous linear equations: 2x + 5y = 11, 7x + 4y = 2
Tambaya 34 Rahoto
Make x the subject of the equation a(b + c) + \(\frac{5}{d}\) - 2 = 0
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Tambaya 35 Rahoto
If the value of \(\pi\) is taken to be \(\frac{22}{7}\), the area of a semi-circle of diameter 42m is
Tambaya 36 Rahoto
The mean of the numbers 1.2, 1.0, 0.9, 1.4, 0.8, 0.8, 1.2 and 1.1 is
Tambaya 37 Rahoto
A square of cardboard is taped at the perimeter by a piece of ribbon 20cm long. What is the area of the board?
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Tambaya 39 Rahoto
The annul profits of a transport business were divided between the partners A and B in the ratio 3 : 5. If B received N3000 more than A, the total profit was
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Tambaya 43 Rahoto
A steel ball of radius 1 cm is dropped into a cylinder of radius 2cm and height 4cm. If the cylinder is now filled with water, what is the volume of the water in the cylinder?
Tambaya 45 Rahoto
A ladder resting on a vertical wall makes an angles whose tangent is 2.4 with the ground. If the distance between the foot of the ladder and the wall is 50cm, What is the length of the ladder?
Tambaya 48 Rahoto
Which of the following values of the variable x, (a)x = 0, (b)x = -3, (c)x = 9, satisfy the inequalities 0 < \(\frac{x + 3}{x - 1}\) < 2?
Tambaya 49 Rahoto
In base ten, the number 101101 (base 2) equals
Tambaya 50 Rahoto
The following table relates the number of objects f corresponding to a certain size x. What is the average size of an object?
\(\begin{array}{c|c} f & 1 & 2 & 3 & 4 & 5 \\ \hline x & 1 & 2 & 4 & 8 & 16\end{array}\)
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