If x = 3 and y = -1, evaluate 2(x\(^2\) - y\(^2\))
See more
2020
Given that \(\frac{\sqrt{3} + \sqrt{5}}{\sqrt{5}}\)= x + y\(\sqrt{15}\), find the value of (x + y)
See more
2020
An amount of N550,000.00 was realized when a principal, x was saved at 2% simple interest for 5 years. Find the value of x
See more
2020
If 101\(_{\text{two}}\) + 12y = 3.3\(_{\text{five}}\). Find the value of y
See more
2020
Express 1 + 2 log10\(^3\) in the form log10\(^9\)
See more
2020
Simplify; [(\(\frac{16}{9}\))\(^{\frac{-3}{2}}\) x 16\(^{\frac{-3}{2}}\)]\(^{\frac{1}{3}}\)
See more
2020
If X = {x : x < 7} and Y= {y:y is a factor of 24} are subsets of \(\mu\) = {1, 2, 3...10} find X \(\cap\) Y.
See more
2020
Evaluate and correct to two decimal places, 75.0785 - 34.624 + 9.83
See more
2020
(a) In the diagram, AB is a tangent to the circle with centre O, and COB is a straight line. If CD//AB and < ABE = 40°, find: < ODE.(b) ABCD is a parallelogram in which |\(\overline{CD}\)| = 7 cm, I\(\overline{AD}\…
See more
2020
(a) In the diagram, MNPQ is a circle with centre O, |MN| = |NP| and < OMN = 50°. Find:(i) < MNP(ii) < POQ(b) Find the equation of the line which has the same gradient as 8y + 4xy = 24 and passes through the poin…
See more
2020
The table shows the distribution of marks obtained by students in an examination.Marks (%)0 - 910 - 1920 - 2930 - 3940 - 4950 - 5960 - 6970 - 7980 - 8990 - 99Frequency711172029343025216(a) Construct a cumulative frequenc…
See more
2020
(a) Two cyclists X and Y leave town Q at the same time. Cyclist X travels at the rate of 5 km/h on a bearing of 049° and cyclist Y travels at the rate of 9 km/h on a bearing of 319°.(a) Illustrate the information on a di…
See more
2020
(a) Ms. Maureen spent \(\frac{1}{4}\) of her monthly income at a shopping mall, \(\frac{1}{3}\) at an open market and \(\frac{2}{5}\) of the remaining amount at a Mechanic workshop. If she had N222,000.00 left, find:(i)…
See more
2020
(a) The diagram shows a wooden structure in the form of a cone, mounted on a hemispherical base. The vertical height of the cone is 48 m and the base radius is 14. Calculate, correct to three significant figures, the su…
See more
2020
(a) Copy and complete the table of values for the relation y = 3 sin 2x.xo\(^o\)15\(^o\)30\(^o\)45\(^o\)60\(^o\)75\(^o\)90\(^o\)105\(^o\)120\(^o\)135\(^o\)\(^o\)y0.0 1.5 -2.6(b) Using a scale of 2 cm to 15° on the…
See more
2020
A die was rolled a number of times. The outcomes are as shown in the table Number123456Outcomes32m25402845If the probability of obtaining 2 is 0.15, find the: (a) value of m;(b) number of times the die was rolled;(c) pr…
See more
2020
The total surface area of a cone of slant height 1cm and base radius rcm is 224\(\pi\) cm\(^2\). If r : 1 = 2.5, find: (a) correct to one decimal place, the value of r(b) correct to the nearest whole number, the volume…
See more
2020
(a} In the diagram, O is the centre of the circle ABCDE, = I\(\overline{BC}\)I = |\(\overline{CD}\)| and < BCD = 108°. Find < CDE. (b) Given that tan x = \(\sqrt{3}\), 0\(^o\) \(\geq\) x \(\geq\) 90\(^o\), evaluat…
See more
2020
(a) Given that P = (\(\frac{rk}{Q} - ms\))\(^{\frac{2}{3}}\)(i) Make Q the subject of the relation;(ii) find, correct to two decimal places, the value of Q when P = 3, m = 15, s = 0.2, k = 4 and r = 10.(b) Given that \(…