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- 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 Errors
Date posted: March 11, 2019.
- A man walks 5km on a bearing of 3150 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 3150 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 2
Date posted: March 11, 2019.
- Simplify the question below
Form 3, Mathematics: Surds
Date 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 2
Date posted: March 11, 2019.
- Find the inverse of the matrix
Form 3, Mathematics: Matrices
Date posted: March 11, 2019.
- Make V the subject of the formula
Form 3, Mathematics: Formula and Variation
Date 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 Series
Date posted: March 11, 2019.
- Find the approximate value of (1.05)8 to 2 decimal places.
Form 3, Mathematics: Binomial Expansion
Date 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: Probability
Date 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 Work
Date posted: March 11, 2019.
- In 100m race there are three main competitors namely Simiyu, Ondiek and Kamau. Simiyu is three times likely to win as Ondiek, while Ondiek is twice as likely to win as Kamau.
In 100m race there are three main competitors namely Simiyu, Ondiek and Kamau. Simiyu is three times likely to win as Ondiek, while Ondiek is twice as likely to win as Kamau.
Find the probability that
a) Ondiek wins the race
b) Either Simiyu or Kamau
Form 3, Mathematics: Probability
Date posted: March 5, 2019.
- Find the values of x in the question below
Form 3, Mathematics: Matrices
Date posted: March 5, 2019.
- In a book store, books packed in cartons are arranged in rows such that there are 50 cartons in the first row, 48 cartons in the next row, 46 in the next and so on.
In a book store, books packed in cartons are arranged in rows such that there are 50 cartons in the first row, 48 cartons in the next row, 46 in the next and so on.
a) How many cartons will be there in the 8th row?
b) If there are 20 rows in total, find total number of cartons in the book...
Form 3, Mathematics: Sequences and Series
Date posted: March 5, 2019.
- The 2nd, 4th and 7th terms of an AP are the first 3 consecutive terms of a GP. If the common difference of the AP is 2 , find the common ratio of the G.p
The 2nd, 4th and 7th terms of an AP are the first 3 consecutive terms of a GP. If the common difference of the AP is 2 , find the common ratio of the G.p
Form 3, Mathematics: Sequences and Series
Date posted: March 5, 2019.
- Given that the first term of an arithmetic progression (A.P) is 2 and the sum of the first 8 terms is
156,find the common difference of the A.P.
Given that the first term of an arithmetic progression (A.P) is 2 and the sum of the first 8 terms is
156,find the common difference of the A.P.
Form 3, Mathematics: Sequences and Series
Date posted: March 1, 2019.
- The position vectors of A and B are given as a = 2i - 3j + 4k and b = -2i - j + 2k. Find to 2 decimal places the length of the vector AB
The position vectors of A and B are given as a = 2i - 3j + 4k and b = -2i - j + 2k. Find to 2 decimal places the length of the vector AB
Form 3, Mathematics: Vectors 2
Date posted: March 1, 2019.
- A quantity P varies directly as R and inversely as the square root of Q. Find the percentage change in P
if R is increased by 40% and Q decreases by 36%.
A quantity P varies directly as R and inversely as the square root of Q. Find the percentage change in P
if R is increased by 40% and Q decreases by 36%.
Form 3, Mathematics: Formula and Variation
Date posted: March 1, 2019.
- Each member of a class take one and only one of the three foreign languages: French, Germany and Spanish. 15 pupils take French, 9 take Germany and 6 take Spanish.
Each member of a class take one and only one of the three foreign languages: French, Germany and Spanish. 15 pupils take French, 9 take Germany and 6 take Spanish.If two students are chosen at random.
i. Draw a tree diagram to represent the above information.
Hence, find:
ii. The probability that...
Form 3, Mathematics: Probability
Date posted: March 1, 2019.
- Three grades A, B and C of rice were mixed in the ratio 3:4:5. The cost per kilogram of each of the grades A, B and C was Ksh 120, Ksh 90 and Ksh 60, respectively.
Three grades A, B and C of rice were mixed in the ratio 3:4:5. The cost per kilogram of each of the grades A, B and C was Ksh 120, Ksh 90 and Ksh 60, respectively.
Calculate the cost of one kilogram of the mixture.
Form 3, Mathematics: Compound Proportions and Rates of Work
Date posted: February 27, 2019.
- Find the distance between the centre A of a circle whose equation is
2x2 + 2y2 + 6x + 10y + 7 = 0 and the point B(–4, 1).
Find the distance between the centre A of a circle whose equation is
2x2 + 2y2 + 6x + 10y + 7 = 0 and the point B(–4, 1).
Form 3, Mathematics: Graphical Determination of Laws
Date posted: February 27, 2019.
- Wambua saves 1,040 shillings in the first year of his employment and each year afterwards saves 145 more than the preceding year.
Wambua saves 1,040 shillings in the first year of his employment and each year afterwards saves 145 more than the preceding year. How much will she have saved by the time he retires in 30 years time?
Form 3, Mathematics: Sequences and Series
Date posted: February 27, 2019.
- Find the value of x in the question below
Form 3, Mathematics: Sequences and Series
Date posted: February 27, 2019.
- Expand (1+x)7 up-to the fourth term.
Expand (1+x)7 up-to the fourth term.
Form 3, Mathematics: Binomial Expansion
Date posted: February 27, 2019.
- Obtain the centre and the radius of a circle whose equation is;
X2 + y2 -10y +16=0
Obtain the centre and the radius of a circle whose equation is;
X2 + y2 -10y +16=0
Form 3, Mathematics: Graphical methods
Date posted: February 27, 2019.
- Find C such that B.C =A in the question below
Find C such that B.C =A in the question below
Form 3, Mathematics: Matrices
Date posted: February 27, 2019.
- Make s the subject of the formula in the question below
Make s the subject of the formula in the question below
Form 3, Mathematics: Formula and Variation
Date posted: February 27, 2019.
- Given that x varies directly as the square of y and x=2 when y=1.find x when y=4.
Given that x varies directly as the square of y and x=2 when y=1.find x when y=4.
Form 3, Mathematics: Formula and Variation
Date posted: February 27, 2019.
- The probability that a husband and a wife will be alive in 25 years from now are 0.7 and 0.9 respectively.
The probability that a husband and a wife will be alive in 25 years from now are 0.7 and 0.9 respectively.Find the probability that in 25 years time,
a)both will be alive
b)neither will be alive
c)one will be alive
d)at least one will be alive.
Form 3, Mathematics: Probability
Date posted: February 27, 2019.
- Solve for x in the question below
Solve for x
Form 3, Mathematics: Further Logarithms
Date posted: February 27, 2019.
- Given that OA =3i + 4j + 7k, OB=4i +3j +9k and OC =I +6j+ 3k,show that the points ABC are collinear.
Given that OA =3i + 4j + 7k, OB=4i +3j +9k and OC =I +6j+ 3k,show that the points ABC are collinear.
Form 3, Mathematics: Quadratic Equations and Expressions
Date posted: February 27, 2019.