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KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~Topically Analyzed

THE NUMBER OF STUDENTS IN 40 SCHOOLS IN A CERTAIN SUB-COUNTY WERE RECORDED AS FOLLOWS:

22/5/2023

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​THE NUMBER OF STUDENTS IN 40 SCHOOLS IN A CERTAIN SUB-COUNTY WERE RECORDED AS FOLLOWS:

​​KCSE 2020 MATHEMATICS ALT A PAPER 1 QUESTION 22
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The height of tree seedlings in a nursery were measured and recorded as in the table below

11/5/2023

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​The height of tree seedlings in a nursery were measured and recorded as in the table below 

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The table below shows the number of faulty balls from 40 samples

29/4/2023

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​The table below shows the number of faulty balls from 40 samples

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​ANSWER

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The table below shows the number of goals scored in 40 soccer matches during a certain season.

19/11/2021

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​The table below shows the number of goals scored in 40 soccer matches during a certain season.

​The table below shows the number of goals scored in 40 soccer matches during a certain season.

​Calculate the mean number of goals scored per match.  (3mks)

Worked Solution

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K.C.S.E Mathematics Q & A - MODEL 2019PP1QN21

22/9/2020

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Form 4 Mathematics


The heights of 40 athletes in a county athletics competition were as shown in the table below
Picture
(a) Find the value of X. 
(b) State the modal class. 
(c) Calculate:
(i) The mean height of the athletes;
(ii) The median height, correct to 1 decimal place,of the athletes
answers
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K.C.S.E Mathematics Q & A - MODEL 2017PP1QN18

16/9/2020

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Form 2 Mathematics


The masses, in kilograms, of patients who attended a clinic on a certain day were recorded follows.
Picture
(a) Starting with the class 35 — 39, make a frequency distribution table for the data. 
(b) Calculate:
(i) the mean mass; 
(ii)the median mass 
(c) On the grid provided below draw a histogram to represent the data
answers
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K.C.S.E Mathematics Q & A - MODEL 2016PP2QN07

14/9/2020

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Form 2 Mathematics


The masses in kilograms of 20 bags of maize were:
90, 94, 96, 98, 99, 102, 105, 91, 102, 99, 105, 94, 99, 90, 94, 99, 98, 96, 102 and 105.
Using an assumed mean of 96 kg, calculate the mean mass, per bag of the maize.
ANSWER
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K.C.S.E Mathematics Q & A - MODEL 2016PP1QN15

14/9/2020

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Form 2 Mathematics


The production of milk, in litres, of 14 cows on a certain day was recorded as follows:
22, 26, 15, 19, 20, 16,27, 15, 19, 22, 21, 20, 22 and 28.
Determine:
(a) the mode; 
(b) the median.
answers
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K.C.S.E Mathematics Q & A - MODEL 2004.PP2.QN.6

13/9/2020

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Form 2 Mathematics



A students obtained the following marks in four tests during a school term: 60%, 75%, 48% and 66%. The tests were weighted as follows: 2,1, 4 and 3 respectively.
Calculate the students weighed mean mark of the tests

Answer
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K.C.S.E Mathematics Q & A - MODEL 2015PP1QN10

10/9/2020

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Form 2 Mathematics


The marks scored by a group of students in a test were recorded as shown in the table below
Picture
On the grid provided, and on the same axes, represent the above data using
a) a histogram; 
b) a frequency polygon
answers
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K.C.S.E Mathematics Q & A - MODEL 2014PP2QN05

8/9/2020

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Form 3 Mathematics


The table below shows the frequency distribution of mks scored by students in a test.
Picture
Determine the median mark correct to 2 s.f.
answers
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K.C.S.E Mathematics Q & A - MODEL 2014PP1QN18

7/9/2020

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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.
Picture
(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 
answers
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K.C.S.E Mathematics Q & A - MODEL 2003PP2QN003

5/9/2020

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Form 3 Mathematics



The table below shows the number of goals scored by a football team in 20 matches
Picture
Find:
  • a) The mode (1 mk)
  • b) The mean number of goals (2 mks)
ANSWER
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K.C.S.E Mathematics Q & A - MODEL 2012PP2QN08

1/9/2020

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Form 2 Mathematics


The masses in kilograms of 20 bags of maize were;
90, 94, 96, 98, 99, 102, 105, 91, 102, 99, 105, 94, 99, 90, 94, 99, 98, 96, 102 and 105.
Using an assumed mean of 96kg, calculate the mean mass, per bag, of the maize.

answer
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K.C.S.E Mathematics Q & A - MODEL 2012PP1QN17

31/8/2020

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Form 2 Mathematics


The table below shows the height, measured to the nearest cm, of 101 pawpaw trees.
Picture
(a) State the modal class.
(b) Calculate to 2 decimal places:
(i) the mean height; 
(ii) the difference between the median height and the mean height.
answers
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K.C.S.E Mathematics Q & A - MODEL 2011PP1QN24

27/8/2020

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Form 2 Mathematics


The frequency table below shows the daily wages paid to casual workers by a certain company.
Picture
(a) Draw a histogram to represent the above information.
(b) (i) State the class in which the median wage lies.
(ii) Draw a vertical line, in the histogram, showing where the median wage lies. 
(c) Using the histogram, determine the number of workers who earn sh 450 or less per day.
answers
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K.C.S.E Mathematics Q & A - MODEL 2011PP1QN10

26/8/2020

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Form 2 Mathematics


The masses of people during a clinic session were recorded as shown in the table below.
Picture
Calculate the mean mass.
answer
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K.C.S.E Mathematics Q & A - MODEL 2010PP1QN23

25/8/2020

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Form 2 Mathematics


The frequency distribution table below represents the number of kilograms of meat sold in a butchery.
Picture
(a) State the modal frequency
(b)Calculate the mean mass.
(c)Calculate the median mass.
answer
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K.C.S.E Mathematics Q & A - MODEL 2010PP1QN16

25/8/2020

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Form 2 Mathematics


The histogram shown below represents the distribution of heights of seedlings of a certain plant.
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The shaded area in the histogram represents 20 seedlings. Calculate the percentage number of seedlings with heights of at least 23 cm but less than 27 cm.
answer
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K.C.S.E Mathematics Q & A - MODEL 2009PP1QN16

19/8/2020

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Form 2 Mathematics


​
The following data was obtained for the masses of certain animals.
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Complete the histogram on the grid provided
Picture
answer
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K.C.S.E Mathematics Q & A - MODEL 2007PP1QN19

12/8/2020

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Form 3 Mathematics


A frequency distribution of marks obtained by 120 candidates is to be represented in a histogram. The table below shows the grouped marks. Frequencies for all the groups and also the area and height of the rectangle for the group 30 – 60 marks.
Picture
(a) (i) Complete the table 
(ii) On the grid provided below, draw the histogram
(b) (i) State the group in which the median mark lies 
(ii) A vertical line drawn through the median mark divides the total area of the histogram into two equal parts
Using this information or otherwise, estimate the median mark

answers
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K.C.S.E Mathematics Q & A - MODEL 2001PP2QN018

10/8/2020

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Form 2 Mathematics



The marks obtained by 10 pupils in an English test were 15,14,13,12,P,16,11,13,12 and 17.The sum of the squares of the marks, ∑x = 21,794

  • a) Calculate the:
    • i) Value of P
    • ii) Standard deviation.
  • b) If each mark is increased by 3, write down  the:
    • i) New mean
    • ii) New standard deviation
Answer
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K.C.S.E Mathematics Q & A - MODEL 2000PP2QN16

14/7/2020

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Form 2 Mathematics



​The frequency distribution table below shows the weekly salary (K£) paid to workers in a factory
Picture
On the grid provided draw a histogram to respect the information shown above
Answer*

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K.C.S.E Mathematics Q & A - MODEL 2000PP1QN04

8/7/2020

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Form 2 Mathematics | Topical Questions and Answers



The table below shows heights of 50 students
Picture
  • (a) State the  modal class
  • (b) Calculate the  median  height
ANSWER
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K.C.S.E Mathematics Q & A - MODEL 1999PP2QN19

30/6/2020

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Form 2 Mathematics



Patients who attend a clinic in one week were grouped by age as shown in the table below:
Picture
  • ​i. Estimate the mean age
  • ii. On the grid provided draw a histogram to represent  the distribution 
    1 cm to represent 5 unit on  the horizon axis
    2  cm to represent 5 units on the vertical axis
Answer
K.C.S.E Mathematics Q & A - MODEL 1999PP2QN19

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