# High quality video lessons and tutorials

40 Video Lessons

- Use differentiation to find x coordinate of the maximum point for the curve. Y=x
^{3}+2x^{2}-4x-8Use differentiation to find x coordinate of the maximum point for the curve. Y=x

^{3}+2x^{2}-4x-8

Form 4, Mathematics: CalculusDate posted: February 21, 2019.

- Given that the ratio x:y =2:3,find the ratio (5x-2y):(x+y)
Given that the ratio x:y =2:3,find the ratio (5x-2y):(x+y).

Form 3, Mathematics: Compound Proportions and Rates of WorkDate posted: February 21, 2019.

- In shooting practice three soldiers A,B and C aim at target.The probabilities of A,B and C hitting the target are
In shooting practice three soldiers A,B and C aim at target.The probabilities of A,B and C hitting the target are $\frac{1}{3}$, $\frac{1}{4}$ and $\frac{1}{2}$ respectively.If each soldier shot at the target only once,one after the other. What is the probability that the target was hit only once?

Form 3, Mathematics: ProbabilityDate posted: February 21, 2019.

- The sum of the first n terms of the sequence 3,9,15,21…is 7500. Find the value of n
The sum of the first n terms of the sequence 3,9,15,21…is 7500. Find the value of n.

Form 3, Mathematics: Sequences and SeriesDate posted: February 21, 2019.

- Two matrices A and B are such that A=$\begin{bmatrix}k&4\\3&2\\ \end{bmatrix}$ and B= $\begin{bmatrix}1&2\\3&4\\ \end{bmatrix}$. Given that the determinant of AB=4,find the value of k.
Two matrices A and B are such that A=$\begin{bmatrix}k&4\\3&2\\ \end{bmatrix}$ and B= $\begin{bmatrix}1&2\\3&4\\ \end{bmatrix}$. Given that the determinant of AB=4,find the value of k.

Form 3, Mathematics: MatricesDate posted: February 21, 2019.

- Make x the subject of the formula $S=w\sqrt{a^2 - x^2}$
Make x the subject of the formula $S=w\sqrt{a^2 - x^2}$

Form 3, Mathematics: Formula and VariationDate posted: February 21, 2019.

- The cash price of a television set is Ksh 25,000. A customer paid a deposit of Ksh 3,750. He repaid the amount owing in 24 equal monthly installments.
The cash price of a television set is Ksh 25,000. A customer paid a deposit of Ksh 3,750. He repaid the amount owing in 24 equal monthly installments. If was charged simple interest at the rate of 40% p.a,how much was each installment?

Form 3, Mathematics: Commercial Arithmetic 2Date posted: February 20, 2019.

- Without using logarithm tables,find the value of x;
Without using logarithm tables,find the value of x; Log x

^{3}+ log 5x = 5log 2 – log $\frac{2}{5}$

Form 3, Mathematics: Logarithmic NotationsDate posted: February 20, 2019.

- Given that sin $\alpha = \frac {2}{3} $. Find tan $\alpha$,leave your answer in surd form
Given that sin $\alpha = \frac {2}{3} $. Find tan $\alpha$,leave your answer in surd form

Form 3, Mathematics: Trigonometry 2Date posted: February 20, 2019.

- Solve for x in 2x
^{2}+ x - 36 = 0Solve for x in 2x

^{2}+ x - 36 = 0

Form 2, Mathematics: Quadratic Equations and ExpressionsDate posted: February 20, 2019.

- Given that $OA =\begin{Bmatrix}2\\3\\ \end{Bmatrix}$ and $OA = \begin{Bmatrix}-4\\5\\ \end{Bmatrix}$.Find ths midpoint m of AB.
Given that $OA =\begin{Bmatrix}2\\3\\ \end{Bmatrix}$ and $OA = \begin{Bmatrix}-4\\5\\ \end{Bmatrix}$.Find the midpoint m of AB.

Form 2, Mathematics: Vectors 1Date posted: February 20, 2019.

- The production of milk in litres of 14 cows on a certain day was recorded as follows
The production of milk in litres of 14 cows on a certain day was recorded as follows 22,26,15,19,20,16,27,15,19,22,21, 20,22 and 28.Determine: a)the mode b)the median

Form 2, Mathematics: Statistics 1Date posted: February 20, 2019.

- A bus takes 195 minutes to travel a distance of (2x+30)km at an average speed of (x-20)km/h. Calculate the actual distance traveled.
A bus takes 195 minutes to travel a distance of (2x+30)km at an average speed of (x-20)km/h. Calculate the actual distance traveled. Give your answer in kilometers.

Form 2, Mathematics: Linear MotionDate posted: February 20, 2019.

- Find the number of women required to join the committee so that the ratio of men:women is changed to 5:4.
In a fundraising committee of 45 people,the ratio of men:women is 7:2.Find the number of women required to join the committee so that the ratio of men:women is changed to 5:4.

Form 1, Mathematics: Rates, Ratios, Proportions and PercentagesDate posted: February 20, 2019.

- Two numbers p and q are such that p
^{3}x q =189, Find p and q.Two numbers p and q are such that p

^{3}x q =189, Find p and q.

Form 2, Mathematics: IndicesDate posted: February 20, 2019.

- The equation of a circle is given by x
^{2}+ 4x + y^{2}- 2y - 4=0.Determine the centre and the radius of the circle.The equation of a circle is given by x

^{2}+ 4x + y^{2}- 2y - 4=0.Determine the centre and the radius of the circle.

Form 3, Mathematics: Graphical Determination of LawsDate posted: February 20, 2019.

- Use the expansion (1-x)
^{5}upto the term with x^{3}to approximate the value of (0.98)^{5}Use the expansion (1-x)

^{5}upto the term with x^{3}to approximate the value of (0.98)^{5}

Form 3, Mathematics: Binomial ExpansionDate posted: February 20, 2019.

- The curve y=ax
^{3}- 3x^{2}- 2x+1 has the gradient 7 when x=1,Find the value of a.The curve y=ax

^{3}- 3x^{2}- 2x+1 has the gradient 7 when x=1,Find the value of a.

Form 4, Mathematics: CalculusDate posted: February 20, 2019.

- A variable P varies directly as t
^{3}and inversely as the square root of s.When t=2 and s=9,P=16A variable P varies directly as t

^{3}and inversely as the square root of s.When t=2 and s=9,P=16.Determine the equation connecting p,t and s

Form 3, Mathematics: Formula and VariationDate posted: February 19, 2019.

- A trader bought maize for ksh 20 per kilogram and beans for ksh 60 per kilogram. She mixed them and sold the mixture at ksh 48 per kilogram
A trader bought maize for ksh 20 per kilogram and beans for ksh 60 per kilogram. She mixed them and sold the mixture at ksh 48 per kilogram.If she made a 60% profit,determine the ratio of maize:beans in the mixture.

Form 3, Mathematics: Mixtures and RatiosDate posted: February 19, 2019.

- The sum of four consecutive odd numbers is 88. Find the numbers
The sum of four consecutive odd numbers is 88. Find the numbers

Form 1, Mathematics: NumbersDate posted: February 19, 2019.

- The mean mass of 18 form 4 boys is 64 kg. When their class teacher is added the mean becomes 65 kgs.
The mean mass of 18 form 4 boys is 64 kg. When their class teacher is added the mean becomes 65 kgs. What is the mass of the class teacher in kilograms.

Form 2, Mathematics: Statistics 1Date posted: February 19, 2019.

- Solve the equation 9
^{x + 3}= 243Solve the equation 9

^{x + 3}= 243

Form 2, Mathematics: Logarithms and IndicesDate posted: February 19, 2019.

- The volume of two similar solid spheres are 4752cm³ and 1408cm³. If the surface area of the small sphere is 352cm²
The volume of two similar solid spheres are 4752cm³ and 1408cm³. If the surface area of the small sphere is 352cm², find the surface area of the larger sphere.

Form 2, Mathematics: Similarity and EnlargementDate posted: February 19, 2019.

- A solid metal cylinder with radius 7 cm and height 5 cm is melted down and recast into a spherical ball. Calculate to 1 decimal place the surface area of this ball.
A solid metal cylinder with radius 7 cm and height 5 cm is melted down and recast into a spherical ball. Calculate to 1 decimal place the surface area of this ball.

Form 2, Mathematics: Common SolidsDate posted: February 19, 2019.

- The mass of a mixture A of beans and maize is 72 kg. The ratio of beans to maize is 3: 5 respectively. Find the mass of maize in the mixture
The mass of a mixture A of beans and maize is 72 kg. The ratio of beans to maize is 3: 5 respectively. Find the mass of maize in the mixture.

Form 1, Mathematics: Rates, Ratios, Proportions and PercentagesDate posted: February 19, 2019.

- A mother is now two and half times as old as her daughter Mary. Four years ago the ratio of their ages was 3:1. Find the present age of the mother
A mother is now two and half times as old as her daughter Mary. Four years ago the ratio of their ages was 3:1. Find the present age of the mother

Form 1, Mathematics: Rates, Ratios, Proportions and PercentagesDate posted: February 19, 2019.

- The interior angle of a regular polygon is 108 degrees larger than the exterior angle. How many sides have the polygon?
The interior angle of a regular polygon is 108 degrees larger than the exterior angle. How many sides have the polygon?

Form 1, Mathematics: Angles and Plane FiguresDate posted: February 19, 2019.

- A motorist cycles a certain distance from X to Y at 10km/hr, he returns at 12km/hr. The total time taken is 1hr 50min. Find the distance XY.
A motorist cycles a certain distance from X to Y at 10km/hr, he returns at 12km/hr. The total time taken is 1hr 50min. Find the distance XY.

Form 2, Mathematics: Linear MotionDate posted: February 19, 2019.

- Solve the following inequalities and represent the solution on a number line and hence state the integral values of x
Solve the following inequalities and represent the solution on a number line and hence state the integral values of x 7x – 4= 9x + 2‹3x + 14

Form 2, Mathematics: Linear InequalitiesDate posted: February 19, 2019.