Study resources on Kenyaplex

Get ready-made curriculum aligned revision materials

Exam papers, notes, holiday assignments and topical questions – all aligned to the Kenyan curriculum.

Browse exam papers

Or go directly to:

Class notes Holiday assignments Topical questions Other resources

Evaluate without using tables or a calculator.

Answers

Kavungya answered the question on November 6, 2019 at 08:28

Answer Attachments

Next: The flow chart below represents a series of reactions starting with ethanoic acid:-

Previous: Two similar blocks have masses of 729g and 216g respectively. If the surface area of the smaller block is 300cm², calculate the surface area of...

View more Mathematics Questions and Answers | Return to Questions Index

Exams With Marking Schemes

Related Questions

Find the value of k in the equation. 125^k+1 + 5^3k = 630 (Solved)

Find the value of k in the equation.
125^k+1 + 5^3k = 630

Date posted: November 6, 2019 . Answers (1)
Find the value of x given that is a singular matrix. (Solved)

Find the value of x given that is a singular matrix.

Date posted: November 6, 2019 . Answers (1)
The difference between two positive integers is 5 and the sum of their squares is 73. Find the integers. (Solved)

The difference between two positive integers is 5 and the sum of their squares is 73. Find the integers.

Date posted: November 6, 2019 . Answers (1)
If cos a = 15/17 , find without using tables or calculator Tan (180- a) (Solved)

If cos α = 15/17 , find without using tables or calculator
Tan (180- α)

Date posted: November 6, 2019 . Answers (1)
The cost of mass production of cars is partly constant and partly varies as the number of cars produced. The total cost of making 400... (Solved)

The cost of mass production of cars is partly constant and partly varies as the number of cars produced. The total cost of making 400 cars is sh 3,740,000 and that of making 1000 cars is sh 7,100,000. Find the cost of making 2500 cars.

Date posted: November 6, 2019 . Answers (1)
Solve the inequality below. Hence represent the solution on a number line. x < 2x + 7 = - 1/3x + 14 (Solved)

Solve the inequality below. Hence represent the solution on a number line.
x < 2x + 7 ≤ - 1/3x + 14

Date posted: November 6, 2019 . Answers (1)
Using logarithms tables: Evaluate. (Solved)

Using logarithms tables: Evaluate.

Date posted: November 6, 2019 . Answers (1)
A shopkeeper sells two types of chewing gum. Big G and Orbit. Each big G costs sh. 3 and each orbit costs sh. 4. The... (Solved)

A shopkeeper sells two types of chewing gum. Big G and Orbit. Each big G costs sh. 3 and each orbit costs sh. 4. The shopkeeper has put aside sh. 300 for the purchase of gums. He needs at least twice as many Big G as Orbit and there must be at least 50 Big G and at least 20 orbit. Let x represent the number of Big G and y the number of orbit the shopkeeper purchases.
(a) Write down all the inequalities representing the information
(b) Represents the inequalities in (a) graphically
(c) The shopkeeper makes a profit of sh. 1.00 on each big G and sh. 1.50 on each orbit.
(i) Find the number of gums of each type that would give him maximum profit
(ii) Hence find the maximum profit

Date posted: November 6, 2019 . Answers (1)
The table below shows income tax rates Mr. Kiprono is employed and housed by a company. For which he pays a normal rent of Sh. 2000.... (Solved)

The table below shows income tax rates

Mr. Kiprono is employed and housed by a company. For which he pays a normal rent of Sh. 2000. He earns a basic salary of Ksh. 32,000 pm. He is also given taxable allowances amounting to ksh. 8480.
(a) Calculate his taxable income in K£
(b) Determine his total income tax in Ksh.
(c) If he pays a monthly water bill of Ksh. 350, electricity bill of Ksh. 400 and is a member of a cooperative
and pays Ksh. 2500 pm. Determine his net monthly income.

Date posted: November 6, 2019 . Answers (1)
Mr. Karanja owns a bicycle which he sometimes rides to go to work. Out of the 21 working days in a month, he only rides to... (Solved)

Mr. Karanja owns a bicycle which he sometimes rides to go to work. Out of the 21 working days in a
month, he only rides to work for 18 days. If he rides to work, the probability that he is bitten by a
rabid dog is 4/15 otherwise its only 1/13. When he is bitten by the dog, the probability that he will get
treatment is 4/5 and if he does not get treatment the probability that he will get rabies is 5/7.
(a) Draw a tree diagram to show the events
(b) Using the tree diagram in (a) above, determine the probability that
(i) Karanja will not be bitten by a rabid dog
(ii) He will get rabies
(iii) He will not get rabies if he does not get treatment

Date posted: November 6, 2019 . Answers (1)
Machine A can complete some work in 8 hours while machine B can complete the same work in 10 hours. The two machines were set... (Solved)

Machine A can complete some work in 8 hours while machine B can complete the same work in 10 hours. The two machines were set to do the work at the same time. After 3 hours, machine B broke down. Determine the time taken by machine A to complete the remaining piece of work.

Date posted: November 6, 2019 . Answers (1)
Solve for x in the equation. 6sin² x - cos x – 5 = 0 for 0⁰ = x = 360 (Solved)

Solve for x in the equation.
6sin² x - cos x – 5 = 0
for 0⁰ ≤ x ≤ 360

Date posted: November 6, 2019 . Answers (1)
The third term and the sixth term of a geometric series are 3 1/3 and 11 1/4 respectively. Calculate the (a) Common ratio (b) First term (Solved)

The third term and the sixth term of a geometric series are 3 1/3 and 11 1/4 respectively. Calculate the
(a) Common ratio
(b) First term

Date posted: November 6, 2019 . Answers (1)
PQ is a diameter of a circle is such that the co-ordinates of P and Q are (-6, -2) and (4, -2) respectively. Find the equation... (Solved)

PQ is a diameter of a circle is such that the co-ordinates of P and Q are (-6, -2) and (4, -2)
respectively. Find the equation of the circle in the form ax² + by² + cx + dy + e = 0 where a,b,c,d and
e are constants.

Date posted: November 6, 2019 . Answers (1)
Three variables P,Q and R are such that P varies directly as the cube of Q and inversely as the square root of R. If... (Solved)

Three variables P,Q and R are such that P varies directly as the cube of Q and inversely as the square root of R. If Q is increased by 20% and R is decreased by 10%, Find the percentage change in P.

Date posted: November 6, 2019 . Answers (1)
Make T the subject of the formula (Solved)

Make T the subject of the formula

Date posted: November 5, 2019 . Answers (1)
Use complete square method to solve for x 8x² + 6x – 9 = 0 (Solved)

Use complete square method to solve for x
8x² + 6x – 9 = 0

Date posted: November 5, 2019 . Answers (1)
Find the length of DP in the figure below (Solved)

Find the length of DP in the figure below

Date posted: November 5, 2019 . Answers (1)
Solve for x Log₂₇ (x + 5) - log₂₇ (x – 3) = 2/3 (Solved)

Solve for x
Log₂₇ (x + 5) - log₂₇ (x – 3) = 2/3

Date posted: November 5, 2019 . Answers (1)
Given that A = 5i + 4j + K and B = 8i – 5j – 5k and P divides AB externally in the ratio... (Solved)

Given that A = 5i + 4j + K and B = 8i – 5j – 5k and P divides AB externally in the ratio 5:2. Find
the:-
(a) Position vector of P
(b) The magnitude of OP

Date posted: November 5, 2019 . Answers (1)