Category: Angles And Plane Figures

The sum of the interior angles of a regular polygon is 1260°. Find the size of each exterior angle of the polygon. (3 marks)

22/5/2023

Comments

The sum of the interior angles of a regular polygon is 1260°. Find the size of each exterior angle of the polygon. (3 marks)

KCSE 2020 MATHEMATICS ALT A PAPER 1 QUESTION 7

Answer

Comments

The figure below shows solid frustum of a pyramid with a square top of side 6cm and a square base of side 10cm. The slant edge of the frustum is 8cm.

13/5/2023

Comments

The figure below shows solid frustum of a pyramid with a square top of side 6cm and a square base of side 10cm. The slant edge of the frustum is 8cm.

a) Calculate the total surface area of the frustum (4mks)
b) Calculate the volume of the solid frustum. (3mks)
c) Calculate the angle between the planes BCHG and the base EFGH. (3mks

Comments

Four interior angles of a hexagon are 100, 140, 125 and 105. The fifth interior angle is four times the sixth. Find, in degrees the fifth interior angle. (3mks)

11/5/2023

Comments

Four interior angles of a hexagon are 100, 140, 125 and 105. The fifth interior angle is four times the sixth. Find, in degrees the fifth interior angle. (3mks)

Comments

The figure below is a right pyramid of rectangular base of length 12cm and width 9cm. The slanting edge has a length of 19.5cm.

29/4/2023

Comments

The figure below is a right pyramid of rectangular base of length 12cm and width 9cm.
The slanting edge has a length of 19.5cm.

ANSWER

Comments

THE FIGURE BELOW SHOWS A RECTANGULAR BASED RIGHT PYRAMID, USE IT TO ANSWERS QUESTIONS THAT FOLLOW:

2/1/2023

Comments

The interior angles of a hexagon are 2x + 5, 4x - 5, 4x + 5, 3x, 4x - 20 and 2x. Find the value of x.

21/11/2021

Comments

The interior angles of a hexagon are 2x + 5, 4x - 5, 4x + 5, 3x, 4x - 20 and 2x. Find the value of x. (3mks)

Comments

The exterior angle of regular polygon is an eighth of the interior angle. How many sides does the regular polygon have?

24/10/2021

Comments

The exterior angle of regular polygon is an eighth of the interior angle. How many sides does the regular polygon have? (3mks)

Worked Answer:

Comments

K.C.S.E Mathematics Q & A - MODEL 2018PP1QN21

20/9/2020

Comments

Form 2 Mathematics

The figure below shows two triangles, ABC and BCD with a common base BC = 3.4 cm. AC = 7.2 cm, CD = 7.5 cm and ABC = 90°.
The area of triangle ABC = Area of triangle ∠BCD.

Calculate, correct to one decimal place:
(a) the area of triangle ABC;
(b) the size of ∠BCD;
(c) the length of BD;
(d) the size of ∠BDC.

answers

Comments

K.C.S.E Mathematics Q & A - MODEL 2005.PP1.QN.5

17/9/2020

Comments

Form 1 Mathematics

The size of each interior angle of a regular polygon is five times the size of the exterior angle. Find the number of sides of the polygon.

Answer

Comments

K.C.S.E Mathematics Q & A - MODEL 2004.PP2.QN.24

16/9/2020

Comments

Form 2 Mathematics

The figure below shows a model of a roof with a rectangular base PQRS PQ = 32 cm and QR = 14 cm. The ridge XY = 12 cm and is centrally placed. The faces PSX and QRY are equilateral triangles M is the midpoint of QR.

Calculate

(a)

(i) the length of YM

(ii) The height of Y above the base PQRS

(b) The angle between the planes RSXY and PQRS

Answer

Comments

K.C.S.E Mathematics Q & A - MODEL 2017PP1QN05

15/9/2020

Comments

Form 1 Mathematics

Given that the exterior angle of a regular hexagon is x. find the size of each interior angle of the hexagon.

answer

Comments

K.C.S.E Mathematics Q & A - MODEL 2015PP1QN09

10/9/2020

Comments

Form 2 Mathematics

The sum of interior angles of a regular polygon is 24 times the size of the exterior angle.
(a) Find the number of sides of the polygon.
(b) Name the polygon

answer

Comments

K.C.S.E Mathematics Q & A - MODEL 2015PP1QN05

9/9/2020

Comments

Form 2 Mathematics

A piece of wire is bent into the shape of an isosceles triangle. The base angles are each 48° and the perpendicular height to the base is 6 cm. Calculate,
correct to one decimal place, the length of the wire.

answer

Comments

K.C.S.E Mathematics Q & A - MODEL 2004.PP1.QN.2

9/9/2020

Comments

Form 1 Mathematics

The size of an interior angle of a regular polygon is 156⁰.Find the number of sides of the polygon.

Answer

Comments

K.C.S.E Mathematics Q & A - MODEL 2014PP2QN18

8/9/2020

Comments

Form 3 Mathematics

In the figure below OS is the radius of the circle centre O. Chords SQ and TU are extended to meet at P and OR is perpendicular to QS at R. OS = 61cm, PU=50cm, UT=40cm and PQ =30cm.

a) Calculate the lengths of:
i) QS:
ii) OR
c) Calculate, correct to 1 decimal place:
i)The size of angle ROS:
ii) The length of the minor arc QS.

answers

Comments

K.C.S.E Mathematics Q & A - MODEL 2014PP1QN10

7/9/2020

Comments

Form 1 Mathematics

The sum of interior angles of a regular polygon is 1800⁰. Find the size of each exterior angle

answer

Comments

K.C.S.E Mathematics Q & A - MODEL 2014PP1QN07

7/9/2020

Comments

Form 2 Mathematics

The area of a sector of a circle, radius 2.1cm, is 2.31cm^2. The arc of the sector subtends an angle θ, at the centre of the circle. Find the value of θ in radians to
2 correct decimal places

answer

Comments

K.C.S.E Mathematics Q & A - MODEL 2013PP1QN13

2/9/2020

Comments

Form 2 Mathematics

A triangle ABC is such that AB = 5 cm, BC = 6 cm and AC = 7 cm.
a) Calculate the size of angle ACB, correct to 2 decimal places.
b) A perpendicular drawn from A meets BC at N. calculate the length AN correct to one decimal place.

answer

Comments

K.C.S.E Mathematics Q & A - MODEL 2013PP1QN11

2/9/2020

Comments

Form 1 Mathematics

The interior angles of an octagon are 2x,1/2?, (x + 40)⁰, 110⁰, 135⁰, 160⁰, (2x + 10)⁰ and 185⁰.
Find the value of x.

answer

Comments

K.C.S.E Mathematics Q & A - MODEL 2012PP1QN24

31/8/2020

Comments

Form 2 Mathematics

In the figure below, PQ is parallel to RS. The lines PS and RQ intersect at T. RQ = 10 cm, RT:TQ = 3:2, angle PQT = 40° and angle RTS - 80°.

(a) Find the length of RT.
(b) Determine, correct to 2 significant figures:
(i) the perpendicular distance between PQ and RS;
(ii) the length of TS.
(c) Using the cosine rule, find the length of RS correct to 2 significant figures.
(d) Calculate, correct to one decimal place, the area of triangle RST.

answers

Comments

K.C.S.E Mathematics Q & A - MODEL 2009PP1QN17

19/8/2020

Comments

Form 2 Mathematics

In the figure below (not drawn to scale), AB = 8cm, AC= 6cm, AD= 7cm, CD= 2.82 cm and angle CAB =50⁰

Calculate, to 2 decimal places
a) The length BC,
b) The size of angle ABC,
c) The size of angle CAD,
d) The area of triangle ACD
b) Express vector NM in terms of OB