# High quality video lessons and tutorials

**279 Video Lessons**

- A commercial bank buys and sells Japanese Yen in Kenya Shillings at the rates shown below.
A commercial bank buys and sells Japanese Yen in Kenya Shillings at the rates shown below. Buying Selling Sh. 0.5024 sh. 0.5446 A Japanese tourist at the end of his tour of Kenya was left with sh. 30,000 which he converted to...

Form 1, Mathematics: Commercial Arithmetic 1Date posted: March 11, 2019.

- Given that 6
^{2n-3}= 7776, find the value of nGiven that 6

^{2n-3}= 7776, find the value of n

Form 2, Mathematics: IndicesDate posted: March 11, 2019.

- The volume of a cube is 1728cm
^{3}. Calculate correct to 2 decimal places, the length of the diagonal of a face of the cube.The volume of a cube is 1728cm

^{3}. Calculate correct to 2 decimal places, the length of the diagonal of a face of the cube.

Form 2, Mathematics: MeasurementDate posted: March 11, 2019.

- Simplify the expression

Form 2, Mathematics: Algebraic ExpressionsDate posted: March 11, 2019.

- Given the inequalities x-5=3x -8<2x -3
a) Solve the inequalities
b) Represent the solution on a number line.
Given the inequalities x-5=3x -8<2x -3 a) Solve the inequalities b) Represent the solution on a number line.

Form 2, Mathematics: Linear InequalitiesDate posted: March 11, 2019.

- A rally car traveled for 2 hours 40 minutes at an average speed of 120km/h. The car consumes an average of 1 liter of fuel for every 4 kilometers. A liter of fuel costs ksh 59.
A rally car traveled for 2 hours 40 minutes at an average speed of 120km/h. The car consumes an average of 1 liter of fuel for every 4 kilometers. A liter of fuel costs ksh 59. Calculate the amount of money spent on the fuel.

Form 2, Mathematics: Linear MotionDate posted: March 11, 2019.

- Find the length of the mat in the question below

Form 3, Mathematics: Quadratic equationsDate posted: March 11, 2019.

- The length and breadth of a rectangular paper were measured to the nearest centimeter and found to be 18cm and 12 cm respectively. Find the percentage error in its perimeter.
The length and breadth of a rectangular paper were measured to the nearest centimeter and found to be 18cm and 12 cm respectively. Find the percentage error in its perimeter.

Form 3, Mathematics: Approximation and ErrorsDate posted: March 11, 2019.

- A man walks 5km on a bearing of 315
^{0}from a point A and then walks due south to a point B which is 8km from A. Calculate the bearing of B from A.A man walks 5km on a bearing of 315

^{0}from a point A and then walks due south to a point B which is 8km from A. Calculate the bearing of B from A.

Form 3, Mathematics: Trigonometry 2Date posted: March 11, 2019.

- Simplify the question below

Form 3, Mathematics: SurdsDate posted: March 11, 2019.

- The average rate of depreciation in value of a water pump is 9% per annum. After three complete years its value was sh.150,700. Find its value at the start of the three-year period.
The average rate of depreciation in value of a water pump is 9% per annum. After three complete years its value was sh.150,700. Find its value at the start of the three-year period.

Form 3, Mathematics: Commercial Arithmetic 2Date posted: March 11, 2019.

- Find the inverse of the matrix

Form 3, Mathematics: MatricesDate posted: March 11, 2019.

- Make V the subject of the formula

Form 3, Mathematics: Formula and VariationDate posted: March 11, 2019.

- A colony of insects was found to have 250 insects at the beginning. Thereafter the number of insects doubled every 2 days. Find how many insects there were after 16 days.
A colony of insects was found to have 250 insects at the beginning. Thereafter the number of insects doubled every 2 days. Find how many insects there were after 16 days.

Form 3, Mathematics: Sequences and SeriesDate posted: March 11, 2019.

- Find the approximate value of (1.05)
^{8}to 2 decimal places.

Form 3, Mathematics: Binomial ExpansionDate posted: March 11, 2019.

- A bag contains 10 balls of which 3 are red, 5 are white and two are green. Another bag contains 12 balls of which 4 are red, 3 are white and 5 are green.
A bag contains 10 balls of which 3 are red, 5 are white and two are green. Another bag contains 12 balls of which 4 are red, 3 are white and 5 are green. A bag is chosen at random and then a ball chosen at random from the bag. Find the probability that the ball so chosen is red.

Form 3, Mathematics: ProbabilityDate posted: March 11, 2019.

- A trader sells a bag of beans for sh 2,100 and that of maize for 1,200. He mixed beans and maize in the ratio 3:2. Find how much the trader should sell a bag of the mixture to realize the same profit.
A trader sells a bag of beans for sh 2,100 and that of maize for 1,200. He mixed beans and maize in the ratio 3:2. Find how much the trader should sell a bag of the mixture to realize the same profit.

Form 3, Mathematics: Compound Proportions and Rates of WorkDate posted: March 11, 2019.

- Given that cos 2x
^{o}= 0.8070, find x when 0^{0}= x = 180^{0}Given that cos 2x

^{o}= 0.8070, find x when 0^{0}= x = 180^{0}

Form 4, Mathematics: Trigonometry 3Date posted: March 11, 2019.

- An aircraft took off from a point P(65
^{0}s,76^{0}w) and flew due north to a point Q. The distance between P and Q is 5400nm. Determine the position of Q.An aircraft took off from a point P(65

^{0}s,76^{0}w) and flew due north to a point Q. The distance between P and Q is 5400nm. Determine the position of Q.

Form 4, Mathematics: Longitude and LatitudeDate posted: March 11, 2019.

- Calculate the price of the floor mill in the question below

Form 1, Mathematics: FractionsDate posted: March 11, 2019.

- Solve the following:
4= 3x-2<9 +x hence list the integral values that satisfies the inequality.
Solve the following: 4= 3x-2<9 +x hence list the integral values that satisfies the inequality.

Form 2, Mathematics: InequalitiesDate posted: March 7, 2019.

- Factorize
2x
^{2}-5xy -12y^{2}Factorize 2x

^{2}-5xy -12y^{2}

Form 2, Mathematics: Quadratic Equations and ExpressionsDate posted: March 7, 2019.

- A salesman gets a commission of 2.4% on sales up-to sh.100,000.He gets an additional commission of 1.5% on sales above this.Calculate the commission he gets on sales worth sh.280,000.
A salesman gets a commission of 2.4% on sales up-to sh.100,000.He gets an additional commission of 1.5% on sales above this.Calculate the commission he gets on sales worth sh.280,000.

Form 1, Mathematics: Commercial Arithmetic 1Date posted: March 7, 2019.

- Three bells ring at intervals of 9 minutes,15 minutes and 21 minutes.The bells will ring together at 11:00p.m. Find the time the bells last rang together.
Three bells ring at intervals of 9 minutes,15 minutes and 21 minutes.The bells will ring together at 11:00p.m. Find the time the bells last rang together.

Form 1, Mathematics: IntegersDate posted: March 7, 2019.

- The mass of 6 similar art books and 4 similar biology books is 7.2kg. The mass of 2 such art books and 3 such biology books is 3.4kg. Find the mass of one art book and the mass of one biology book.
The mass of 6 similar art books and 4 similar biology books is 7.2kg. The mass of 2 such art books and 3 such biology books is 3.4kg. Find the mass of one art book and the mass of one biology book.

Form 1, Mathematics: Linear EquationsDate posted: March 7, 2019.

- Water flows from a tap at the rate of 27cm
^{3}/second,into a rectangular tank of length 60cm,width 30cm and height 40cm.If at 6:00p.m. the container was half full,what will be the height of the water at 6:04p.m.Water flows from a tap at the rate of 27cm

^{3}/second,into a rectangular tank of length 60cm,width 30cm and height 40cm.If at 6:00p.m. the container was half full,what will be the height of the water at 6:04p.m.

Form 1, Mathematics: Rates, Ratios, Proportions and PercentagesDate posted: March 7, 2019.

- The angle of elevation of the top of a cliff from point p is 45
^{0}. From a point Q which is 10m from P towards the foot of the cliff,the angle of elevation is 48^{0}.Calculate the height of the cliff.The angle of elevation of the top of a cliff from point p is 45

^{0}. From a point Q which is 10m from P towards the foot of the cliff,the angle of elevation is 48^{0}.Calculate the height of the cliff.

Form 2, Mathematics: Trigonometry 1Date posted: March 7, 2019.

- The gradient of the tangent to the curve y = ax
^{3}+ bx at the point (1,1) is —5. Calculate the values of a and bThe gradient of the tangent to the curve y = ax

^{3}+ bx at the point (1,1) is —5. Calculate the values of a and b

Form 4, Mathematics: CalculusDate posted: March 7, 2019.

- Solve the equation below
Solve the equation below

Form 2, Mathematics: Quadratic Equations and ExpressionsDate posted: March 7, 2019.

- Given that Log 4 = 0.6021 and Log 6 = 0.7782, without using mathematical tables or a calculator, evaluate log 0.096.
Given that Log 4 = 0.6021 and Log 6 = 0.7782, without using mathematical tables or a calculator, evaluate log 0.096.

Form 1, Mathematics: Evaluation of numbersDate posted: March 7, 2019.