KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
Form 2 Mathematics
0 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. Form 2 Mathematics
The volume of a cube is 1728 cm3. Calculate, correct to 2 decimal places, the length of the diagonal of a face of the cube.
Form 2 Mathematics
Vectors r and s are such that r = 7 i + 2 j - k and s = - i + j - k.
Find | r + s |. Form 3 MathematicsForm 2 Mathematics
The figure below represents a right pyramid with vertex V and a rectangular base PQRS. VP = VQ = VR S = 18cm and QR =16cm and QR = 12cm. M and O are the midpoints of QR and PR respectively.
Find:
Form 2 Mathematics
The figure below shows a right pyramid VABCDE. The base ABCDE is regular pentagon. AO = 15cm and VO = 36 cm.
Calculate:
(a) The area of the base correct to 2 decimal places (b) The length AV (c) The surface area of the correct to 2decimal places (d) The volume of the pyramid correct to 4 significant figures Form 2 Mathematics
The figure below represents a speed time graph for a cheetah which covered 825m in 40 seconds.
(a) State the speed of the cheetah when recording of its motion started
(b) Calculate the maximum speed attained by the cheetah (c) Calculate the acceleration of the cheetah in: (i) The first 10 seconds (ii) The last 20 seconds (d) Calculate the average speed of the cheetah in first 20 seconds Form 2 Mathematics
The lengths, in cm, of pencils used by pupils in a standard one class on a certain day were recorded as follows.
(a) Using a class width of 3, and starting with the shortest length of the pencils, make a frequency distribution table for the data.
(b) Calculate: (i) The mean length of the pencils (ii) The percentage of pencils that were longer than 8cm but shorter than 15cm. (c) On the grid provided, draw a frequency polygon for the data Form 2 Mathematics
A line L passes through (-2, 3) and (-1, 6) and is perpendicular to a line P at (-1, 6).
(a) Find the equation of L (b) Find the equation of P in the form ax + by = c,where a, b and c are constants. (c) Given that another line Q is parallel to L and passes through point (1, 2) find the x and y intercepts of Q (d) Find the point of the intersection of lines P and Q Form 2 Mathematics
Points A(-2, 2) and B(-3, 7) are mapped onto Aʹ(4, -10) and Bʹ(0, 10) by an enlargement. Find the scale factor of the enlargement
Form 2 Mathematics
The figure below shows a rectangular container of dimensions 40cm by 25cm by 90cm. a cylindrical pipe of radius 7.5cm is fitted in the container as shown.
Water is poured into the container in the space outside the pipe such that the water level is 80% the height of the container. Calculate the amount of the
water, in litres, in the container in 3 significant figures. Form 2 Mathematics
Solve 4 ≤ 3x – 2 ˂ 9 + x hence list the integral value that satisfies the inequality.
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 Form 2 Mathematics
The mass of solid cone of radius 14cm and height 18cm is 4.62kg. find its density in g/cm3
Form 2 Mathematics
Given the simultaneous equations
5x + y = 19 -x + 3y = 9
Form 2 Mathematics
Three business partners Atieno, wambui and Mueni contributed sh 50,000, Sh.40,000 as sh 25,000 respectively to start a business. After some time, they realized a profit, which they decided to share in the ration of their contributions. If Mueni’s share was sh 10.000, by how much was Atieno’s share more than wambui’s? (3mks)
Form 2 MathematicsForm 2 Mathematics
A straight line passes through points A(-3,8) and B(3, -4). Find the equation of the straight line through(3,4) and parallel to AB. Give the answer in the form y – mx +c, and c are constants. (3mks)
Form 3 Mathematics |
Categories
All
Archives
December 2024
Latest Posts |
We Would Love to Have You Visit Soon! |
Hours24 HR Service
|
Telephone0728 450425
|
|
8-4-4 materialsLevels
Subjects
|
cbc materialsE.C.D.E
Lower Primary
Upper Primary
Lower Secondary
Upper Secondary
|
teacher support
Other Blogs
|