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

Without using a calculator evaluate

Answers

Kavungya answered the question on November 5, 2019 at 06:21

Answer Attachments

Next: Find the value of

Previous: In the figure below the lines AB and CD are parallel. AD and CB intersect at X. AB = 6cm, CD = 9cm and DX...

View more Mathematics Questions and Answers | Return to Questions Index

Exams With Marking Schemes

Related Questions

Find the value of (Solved)

Find the value of

Date posted: November 5, 2019 . Answers (1)
Simplify the expression (Solved)

Simplify the expression

Date posted: November 5, 2019 . Answers (1)
Given Sin (90 – a) = 1/2 , find without using tables or calculators the value of Cos a. (Solved)

Given Sin (90 – a) = 1/2 , find without using tables or calculators the value of Cos a.

Date posted: November 5, 2019 . Answers (1)
Solve the equation below. (Solved)

Solve the equation below.

Date posted: November 5, 2019 . Answers (1)
Use logarithms to evaluate (Solved)

Use logarithms to evaluate

Date posted: November 5, 2019 . Answers (1)
The sketch below represents the curve y=x²+5 and a straight line PQ which meets the x-axis andy-axis at the points (-4, 0) and (0, 8)... (Solved)

The sketch below represents the curve y=x²+5 and a straight line PQ which meets the x-axis and
y-axis at the points (-4, 0) and (0, 8) respectively. The line intersects the curve at point P and Q as
shown.

a) Find the equation of the line in the form y = mx + c
b) Determine the co-ordinates of P and Q
c) Calculate the area of the shaded region

Date posted: November 2, 2019 . Answers (1)
A quantity A varies jointly as the cube of y and inversely as the square root of x. If A = 7 when y=2 and x=25, (a)... (Solved)

A quantity A varies jointly as the cube of y and inversely as the square root of x. If A = 7 when
y=2 and x=25,
(a) Write an equation convecting A, x and y
(b) Find the value of y to three significant figures, when A=12 and x=36
(c) Find the percentage change in A when y is decreased by 11% and x is increased by 21%.

Date posted: November 2, 2019 . Answers (1)
The first three terms of a G.P. are the first, fourth and tenth terms of an A.P. Given that the first term is 6 and that... (Solved)

The first three terms of a G.P. are the first, fourth and tenth terms of an A.P. Given that the first
term is 6 and that all the terms of the G.P. are different, find the common ratio.

Date posted: November 2, 2019 . Answers (1)
Solve for x given log_x3 + log₃X = 2. (Solved)

Solve for x given log_x3 + log₃X = 2.

Date posted: November 2, 2019 . Answers (1)
y varies partly as the square root of x and partly varies inversely as the cube of x. When y=2, x=4 and when y=3, x=1. Express... (Solved)

y varies partly as the square root of x and partly varies inversely as the cube of x.
When y=2, x=4 and when y=3, x=1. Express y in terms of x.

Date posted: November 2, 2019 . Answers (1)
A point T divides line AB externally in the ratio 8:2. Given that the position vectors of A and B are 3i - 4l +... (Solved)

A point T divides line AB externally in the ratio 8:2. Given that the position vectors of A and B are 3i - 4l + k and -1 +j -3k respectively. Find the position vector of T in unit vector form.

Date posted: November 2, 2019 . Answers (1)
Solve for x given that 2 sin x = tax x for 0⁰ = x = 360⁰ (Solved)

Solve for x given that 2 sin x = tax x for 0⁰ ≤ x ≤ 360⁰

Date posted: November 2, 2019 . Answers (1)
Given sin find cos (90 - theta) without using mathematical tables or calculators. (Solved)

Given sin find cos (90 - theta) without using mathematical tables or calculators.

Date posted: November 2, 2019 . Answers (1)
Make P the subject of the formula (Solved)

Make P the subject of the formula

Date posted: November 2, 2019 . Answers (1)
The figure below shows a transverse pulley systems. The wheels have radius 15cm and 10cm respectively. If O₁X=30cm and XO₂ =20cm Calculate: (a) AO₁C (b) DO₂F (c) Length AD... (Solved)

The figure below shows a transverse pulley systems.

The wheels have radius 15cm and 10cm respectively. If O₁X=30cm and XO₂ =20cm
Calculate:
(a) AO₁C
(b) DO₂F
(c) Length AD to 4 decimal places
(d) Length BE
(e) Length of arc ABC and BEF.
(f) The length of the belt

Date posted: November 2, 2019 . Answers (1)
A bus left town A at 5:20am to town B 610km away at an average speed of 60km/hr. After 3 hrs 10 minutes, a van... (Solved)

A bus left town A at 5:20am to town B 610km away at an average speed of 60km/hr. After 3 hrs 10 minutes, a van left town B and travelled towards A at an average speed of 80km/hr.
(a) (i) At what time did they meet
(ii) How far from A was the meeting point
b) A car left town B at 9:00am and travelled towards A at an average speed of 100km/hr.
Determine
(i) The time the car caught up with the van
(ii) The distance the car travelled to catch up with the van.

Date posted: November 2, 2019 . Answers (1)
A triangle has vertices P(1,2) Q(3,5) and R(5,3) a) Draw triangle PQR and its image P₁Q₁R₁ under a translation vector b) Draw triangle P_II Q_II R_II ,... (Solved)

A triangle has vertices P(1,2) Q(3,5) and R(5,3)
a) Draw triangle PQR and its image P₁Q₁R₁ under a translation vector
b) Draw triangle P_II Q_II R_II , the image of triangle P_I Q_I R_I under a rotation of half turn about the origin
c) Triangle P_III Q_III R_III is the image of triangle P_II Q_II R_II under reflection in the line y=x.
Draw triangle P_III Q_III R_III and state its co-ordinates.
d) Triangle P_III Q_III R_III is reflected in the line x=0. State the co-ordinates of its image

Date posted: November 2, 2019 . Answers (1)
Find the equation of the normal to the curve y=x² – 4x + 5 at the point (4,5) (Solved)

Find the equation of the normal to the curve y=x² – 4x + 5 at the point (4,5)

Date posted: November 1, 2019 . Answers (1)
Juma needs to import a car from Japan whose cost is US $ 5000 outside Kenya. He intends to buy the car through an agent... (Solved)

Juma needs to import a car from Japan whose cost is US $ 5000 outside Kenya. He intends to buy the car through an agent who deals in Japanese yen. The agent will charge him 20% commission on the price of the car and a further 80325 Japanese yen for shipment of the car. How many Kshs will he need to send to the agent to get the car given that
1 US $ = 105.00 Japanese yen
1 US $ = KShs 63.00

Date posted: November 1, 2019 . Answers (1)
ABCD is a parallelogram. DAB=124^o. The bisectors of angle BCD and angle ADC meet at x. Find angle DXC (Reflex) (Solved)

ABCD is a parallelogram. DAB=124^o. The bisectors of angle BCD and angle ADC meet at x. Find angle DXC (Reflex)

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