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One-third of the sum of two numbers is 12, twice their difference is 12. Find the numbers.
The angle of elevation of the top of a building from a point Z on the ground is 50°. If the height of the building is 124 m, find the distance from Z to the foot of the building.
Mr Manu is 4 times as old as his son, Adu. 7 years ago the sum of their ages was 76. How old is Adu?
There are 30 students in a class. 15 study woodwork and 13 study metal work. 6 study neither of the 2 subjects. How many student study woodwork but not metal work?
The angle of a sector of a circle of radius 3.4 cm is 115°. Find the area of the sector.
\((Take \pi = \frac{22}{7})\)
Solve \(1 + \sqrt[3]{ x - 3} = 4\)
In the diagram, O is the center of the circle QRS and ∠SQR = 28°. Find ∠ORS.
Solve 6x\(^2\) = 5x - 1
Given that log\(_3\) 27 = 2x + 1, find the value of x.
A trader made a loss of 15% when an article was sold. Find the ratio of the selling price : cost price
If the equations x\(^2\) - 5x + 6 = 0 and x\(^2\) + px + 6 = 0 have the same roots, find the value of p.
The straight line y = mx - 4 passes through the point(-4,16). Calculate the gradient of the line
The mean of two numbers x and y is 4. Find the mean of four numbers x, 2x, y and 2y
A rectangle with width \(\frac{3}{4}\)cm and area 3 \(\frac{3}{8}\)cm\(^2\). Find the length
A local community has two newspapers: the morning tomes and the evening dispatch. The morning times is read by 45% of the households. The Evening Dispatch is read by 60% of the households. Twenty percent of the households read both papers. What is the probability that a particular household reads at least one paper?
Find the volume of a cone of radius 3.5cm and vertical height 12cm. [Take π = 22/7]
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.
Find the correct to two decimal places, the volume of a sphere whose radius is 3cm. [Take π = \(\frac{22}{7}\)]
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
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