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Questions (58)

Solve the equation x^2-2x+3=0
1. 2 answers
2. 433 views
Find the centre and radius of a circle 36x^2+24x+36y^2-36y-23=0
1. 3 answers
2. 3,021 views
During the electrolysis of Copper (ll) chloride solution, 3.2g of Copper was deposited at the cathode, calculate the volume of
1. 3 answers
2. 713 views
Without using tables find the value of (2+√6)^6+(2-√3)^6
1. 2 answers
2. 1,018 views
Use the binomial theorem to evaluate (1.004)^8 correct to 5 decimal places.
1. 1 answer
2. 1,692 views
Solve the equation t^2-2t+3=0
1. 2 answers
2. 493 views
After t seconds, a particle has covered a distance of S meters, where S=t^3-3t^2+9t+1Determined the time when: (i) Velocity is
1. 2 answers
2. 3,367 views
Find the gradient of the line joining (3,7) and (6,9).Hence, find the acute angle it makes with the positive x- axis.
1. 3 answers
2. 1,442 views
A man 1.5m tall, standing on top of a mountain 298.5m high, observes the angles of depression of two flying boats D and C to be
1. 2 answers
2. 3,023 views
A trader needs $ 300,000to improve her business, she deposits $ 110000 in her savings account at 5% per annum compound interest.
1. 3 answers
2. 1,429 views
A Geometric progression X has a first term of 4a and its sixth term is 256. Another Geometric progression Y has a first term of
1. 11 answers
2. 4,439 views
The probability that John solved a particular problem is 1/3 and the probability that James solved the same problem is 1/5, if
1. 1 answer
2. 579 views
What is the value of digit 6 in 56?
1. 1 answer
2. 456 views
What is the value of digit 5 in 56?
1. 5 answers
2. 4,251 views
The probability of an event P is 3/4 while that of another event is 1/6. If the probability of both P and Q is 1/12 what is the
1. 1 answer
2. 826 views
The probability of an event P is 3/4 while that of another event Q is 9/6. If the probability of both P and Q is 1/12, what is
1. 1 answer
2. 399 views
A long rope is fixed at one end, and the free end is made to oscillate in one plane at right angle with a frequency of 4Hz. The
1. 1 answer
2. 822 views
What Will be the effect of these salts using either blue or red litmus paper on hydrolysis?Copper chloride (CUCl2) Copper
1. 2 answers
2. 545 views
What will be the effect of these salts using either blue or red litmus paper on hydrolysis?(1) copper chloride (CUCl2) (2)
1. 1 answer
2. 777 views
Find the centre of the circle 36x^2+36y^2-24x-36y-23=0
1. 2 answers
2. 1,900 views
Find the equation of the circle whose diameter has the end point A(5,4) and B(1,4).
1. 1 answer
2. 532 views
If y=tan^2x, show that d^2y/dx^2=2(1+y)(1+3y)
1. 1 answer
2. 587 views
A circle with a radius of 5cm has it radius increasing at the rate of 0.2cm/s. What will be the corresponding increase in the
1. 3 answers
2. 1,290 views
If y=tan^2x, show that d^2y/d^2x=2(1+y(1+3y)
1. 1 answer
2. 325 views
Given the curve x=t^3+3t-1, y=t^2+4t-4, derive the result dy/dx=2(t+2)/3(t^2+1).
1. 1 answer
2. 289 views
If y=2xCos2x-Sin2x, find dy/dx when x=π/2.
1. 1 answer
2. 783 views
When the Polynomial p(x)=ax^3+5x^2+bx-2 where a and b are constants is divided by 2x^2+3x-2, the remainder is 9x-6.(I) Find the
1. 4 answers
2. 4,394 views
When the polynomialf(x)=(p-1)+x^3+px^2+qx+r, where p, q is divided by (x+2) and (x-1) the remainders are -5 and 4 respectively.
1. 2 answers
2. 2,216 views
Show that Cos 22.5=√2+√2/2
1. 1 answer
2. 526 views
A bicycle wheel of radius 42cm is rolled over a distance of 66cm. How many revolutions does it make?
1. 2 answers
2. 677 views
Two ships A and B leave port Y at the same time. A sailed on a bearing of 26 degrees for 30km while B sailed due west of Y for
1. 1 answer
2. 706 views
Evaluate in simple surd form the following:(1) Sin 225 (2) Cos 195 (3) Sin 345 (4) tan 195
1. 1 answer
2. 1,690 views
Differentiate with respect to x (Sec x + Cos x)/ Sin x
1. 1 answer
2. 469 views
Solve the following questions(1) SinB=Cos35 degrees (2) Cos286 degrees (3) SinB=Cos3B (4) Cos2B=Sin3B (5) Cos y= Sin(y+22
1. 1 answer
2. 553 views
(1) If 10 men can make 12 tables in 6 days, how long would 6 men take to make 36 tables?(2) A family of 6 ate 240kg bag of rice
1. 2 answers
2. 1,689 views
In how many ways can 5 boys and 4 girls be arranged on a bench if(a) a boy and a girl wish to stay together (b) 2 boys wish to
1. 1 answer
2. 498 views
In how many ways can 5 boys and 4 girls be arranged on a bench if(a) Boys and girls are in a separate group (b) Mary and Phillip
1. 3 answers
2. 3,658 views
Find the value of B between 0 degree and 360 degree which satisfy the equation 4Cos²B+2CosB=1
1. 1 answer
2. 471 views
(1) Find the value of B between 0 degree and 360 degree which satisfy the equation SinB+Sin²B=0(2) Find the value of A between
1. 1 answer
2. 534 views
x2-x-6 is a factor of f(x)=3x3+px2+qx+6. Find the values of the constants p and q and state the zeros of f(x).
1. 2 answers
2. 2,106 views
Draw the graph of cosectita, sectita and cottita for 0 degree is less than or equal to tita less than or equal to 360 degrees.
1. 1 answer
2. 453 views
Two boys each of mass 10kg sit at a distance 1.5metres from a pivot of a seasaw. If another boy of mass 30kg sit at the distance
1. 3 answers
2. 855 views
Given that cosz=BL find the value ofcotz-cosecz/secz+tanz
1. 1 answer
2. 431 views
(a) A body at rest is given an initial uniform acceleration of 8.0 metre per second square for 30 seconds after which the
1. 0 answers
2. 779 views
Explain the terms uniform acceleration and average speed.
1. 0 answers
2. 416 views
A ball is projected horizontally from the top of a hill with a velocity of 30m/s.If it reaches the ground 5 seconds
1. 1 answer
2. 728 views
A stone is projected at an angle of 60 degrees and an initial velocity of 20m/s calculate(a) The time of flight (b) The maximum
1. 10 answers
2. 3,851 views
A ball is projected horizontally from the top of a hill with a velocity of 30m/s.If it reaches the ground 5 seconds later,
1. 6 answers
2. 2,120 views
A ball is projected horizontally from top of a hill with a velocity of 30m/s.If it reaches the ground 5 seconds later, calculate
1. 4 answers
2. 1,625 views
Find the zeros of the polynomial f(x)=2x3-7x2-3x+18
1. 1 answer
2. 417 views
Find the zeros of the polynomial f(x)=2x3-7x2-3x+18
1. 1 answer
2. 624 views
Find the zeros of the polynomial f(x)=2x3-7x2-3x+18
1. 1 answer
2. 467 views
The remainder when the polynomial f(x)=2x3+px2+qx+18 is divided by (x-1) is 10, when is divided by (x+1) the remainder is 12,
1. 1 answer
2. 693 views
The remainder when the polynomial f(x)=2x3+px2+qx+18 is divided by (x-1) is 10, when it is divided by (x+1) the remainder is R
1. 4 answers
2. 1,203 views
Solve the equation 4x2+x+10=0
1. 2 answers
2. 457 views
If f(y)=2y3+9y2+ay-b where a and b are constant,find the values of the constant a and b hence(1) factorize f(y) completely (2)
1. 1 answer
2. 503 views
A boy is pulling a load of 150N with a string inclined at an angle of 30 degrees to the horizontal.If the tension in the string
1. 12 answers
2. 5,800 views
Find the angle between 4y+3x=2 and n-3y=3.
1. 1 answer
2. 459 views

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