Given that log\(_3\) 27 = 2x + 1, find the value of x.
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2022
A trader made a loss of 15% when an article was sold. Find the ratio of the selling price: cost price
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If the equations x\(^2\) - 5x + 6 = 0 and x + px + 6 = 0 have the same roots, find the value of p.
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The straight line y = mx - 4 passes through the point(-4,16). Calculate the gradient of the line
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The mean of two numbers x and y is 4. Find the mean of four numbers x, 2x, y and 2y
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A rectangle with width \(\frac{3}{4}\)cm and area 3 \(\frac{3}{8}\)cm\(^2\). Find the length
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A local community has two newspapers: the morning tomes and the evening dispatch. The morning times is readby 45% of the households.The Evening Dispatch is read by 60% of the households.Twenty percent of the households r…
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Find the volume of a cone of radius 3.5cm and vertical height 12cm. [Takeπ = 22/7]
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The lengths of the parallel sides of a trapezium are 9cm and 12cm. If the area of the trapezium is 105cm\(^2\), find the perpendicular distance between the parallel sides.
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Find the correct to two decimal places, the volume of a sphere whose radius is 3cm. [Takeπ =\(\frac{22}{7}\)]
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2022
The age (years) of some members in a singing group are: 12, 47, 49, 15, 43, 41, 13, 39, 43, 41 and 36.Find the mean
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The age (years) of some members in a singing group are: 12, 47, 49, 15, 43, 41, 13, 39, 43, 41 and 36.Find the lower quartile
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2022
Solve \(\frac{y+2}{4}\) -\(\frac{y-1}{3}\)> 1
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In the diagram, triangle MNR is inscribed in circle MNR and line PQ is a straight line.∠MRN = 41 and = 141, find∠QNR
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Simplify \(\frac{2-18m^2}{1+3m}\)
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The mean of a set of 10 numbers is 56. If the mean of the first nine numbers is 55, find the 10th number.
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Mrs Gabriel is pregnant. The probability that she will give birth to a girl is 1/2 and with blue eyes is 1/4. What is the probability that she will give birth to a girl with blue eyes?
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Find∠SON
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In the diagram, MNR is a tangent to the circle centre O at N and ∠NOS = 108°. Find∠OSN