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KCSE MATHEMATICS QUESTIONS AND SOLUTIONS


Topically Analysed


Form 3
Form 2
Form 4
Form 1

The following are marks scored by form four student in Mathematics test.

13/5/2023

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The following are marks scored by form four student in Mathematics test.  

Marks

10-19

20-29

30-39

40-49

50-59

60-69

70-79

80-89

90-99

Frequency

2

6

10

16

24

20

12

8

2

Using an assumed mean of 54.5, calculate the

a)         Mean mark                                                                                                      (4mks)

b)         Variance                                                                                                         (4mks)

c)         Standard deviation                                                                                         (2mks)

 

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KCSE mathematics QUESTION AND ANSWERS ON STatistics ii model10052023001

10/4/2023

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QUESTION

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ANSWER

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Find standard deviation of 3, 5, 7, 9 and 11.

7/4/2023

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Question

​Find standard deviation of 3, 5, 7, 9 and 11.

Answer

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QUESTION AND ANSWER ON STATISTICS II MODEL06012023007

5/1/2023

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QUESTION AND ANSWER ON STATISTICS II MODEL06012023015

5/1/2023

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A number of people are asked to cut 20cm lengths of string without measuring. Later 100 pieces are collected and measured correct to the nearest 1/10cm. the data below was collected.

22/11/2021

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PAPER 1, SECTION B, STATISTICS II, FORM 4 LEVEL, 10 MARKS

​A number of people are asked to cut 20cm lengths of string without measuring. Later 100 pieces are collected and measured correct to the nearest 1/10cm. the data below was collected.

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​Using 19.7 as a working mean calculate:

​(a) Mean (4mks)

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​(b) Standard deviation (5mks)

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​(c) State the modal class (1mk)

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K.C.S.E Mathematics Q & A - MODEL 2019PP2QN22

24/9/2020

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Form 4 Mathematics


The amount of money contributed by a group of students during a fundraising for a needy student was as shown in the table below.
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(a) On the grid provided draw an ogive to represent the data.
(b) Use the graph to estimate:
(i) The median; 
(ii) The quartile deviation; 
(iii) The percentage number of students who contributed at least Ksh 750.50.

answers
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K.C.S.E Mathematics Q & A - MODEL 2019PP2QN09

24/9/2020

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Form 4 Mathematics


In a mathematics test, the scores obtained by 30 students were recorded as shown in the table below.
The score K with a frequency of 6 is not given.
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answer
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K.C.S.E Mathematics Q & A - MODEL 2005.PP2.QN.12

22/9/2020

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Form 4 Mathematics



Two lines L1 and L2 intersect at a point P. L1 passes through the points (-4,0) and (0,6).

Given that L2 has the equation: y = 2x – 2, find, by calculation, the coordinates of P. ( 3 marks)

Answer
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K.C.S.E Mathematics Q & A - MODEL 2018PP2QN19

21/9/2020

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Form 4 Mathematics


The table below shows the frequency distribution of heights of 40 plants in a tree nursery.
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(a) State the modal class. 
(b) Calculate:
(i) the mean height of the plants; 
(ii) the standard deviation of the distribution. 
(c) Determine the probability that a plant taken at random has a height greater than 40 cm.
answers
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K.C.S.E Mathematics Q & A - MODEL 2018PP2QN11

21/9/2020

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Form 4 Mathematics


The mass, in kilograms, of 9 sheep in a pen were: 13, 8, 16, 17, 19, 20, 15, 14 and 11.
Determine the quartile deviation of the data.
answer
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K.C.S.E Mathematics Q & A - MODEL 2005.PP2.QN.11

19/9/2020

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Form 1 Mathematics



Successive moving averages of order 5 for the numbers 9,8.2, 6.7,5.4, 4.7 and k are A and B. Given that A – B = 0.6 find the value of k.

Answer
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K.C.S.E Mathematics Q & A - MODEL 2005.PP1.QN.22

18/9/2020

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Form 4 Mathematics



The data below shows the masses in grams of 50 potatoes

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(a) On the grid provide, draw a cumulative frequency curve for the data (4mks)

(b) Use the graph in (a) above to determine

(i) The 60th percentile mass

(ii) The percentage of potatoes whose masses lie in the range 53 g to 68g (3mks)

Answer
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K.C.S.E Mathematics Q & A - MODEL 2017PP2QN13

17/9/2020

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Form 4 Mathematics


A basket ball team scored the points in 6 matches: 10, 12, 14, 16, 28 and 30. Using an assumed mean of l5. Determine the standard deviation correct to 2 decimal places.
answer
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K.C.S.E Mathematics Q & A - MODEL 2004.PP2.QN.18

15/9/2020

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Form 3 Mathematics



The table below shows the ages in years of 60 people who attended a conference.
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Calculate
(a)The  inter-quartile range of the data
(b)The percentage of the people in the conference whose ages were 54.5 years and below.
Answer
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K.C.S.E Mathematics Q & A - MODEL 2016PP1QN19

14/9/2020

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Form 2 Mathematics


The frequency table below shows the daily wages paid to casual workers by a certain company
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a) In the grid provided, 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 shs 450 or less per day
answers
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K.C.S.E Mathematics Q & A - MODEL 2015PP2QN23

11/9/2020

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Form 4 Mathematics


The marks scored by 40 students in a mathematics test were as shown in the table below.
Picture
a) Find the lower class boundary of the modal class 
b) Using an assumed mean of 64, calculate the mean mark 
c i) On the grid provided, draw the cumulative frequency curve for the data 
ii)Use the graph to estimate the semi-interquartile range

answers
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K.C.S.E Mathematics Q & A - MODEL 2013PP2QN24

4/9/2020

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Form 4 Mathematics


The table below shows marks scored by 42 students in a test.
Picture
a) Starting with the mark of 25 and using equal class intervals of 10, make a frequency distribution table. 
b) On the grid provided , draw the ogive for the data 
c) Using the graph in (b) above , estimate:
(i) The median mark 
(ii) The upper quartile mark
answers
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K.C.S.E Mathematics Q & A - MODEL 2003PP1QN018

3/9/2020

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Form 4 Mathematics



The mass of 40 babies in a certain clinic were recorded as follows:
Picture
Calculate
(a) The inter – quartile range of the data.
(b) The standard deviation of the data using 3.45 as the assumed mean.


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.
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(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 2010PP2QN08

25/8/2020

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Form 4 Mathematics


The heights, in centimeters, of 100 tree seedlings are shown in the table below.
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Find the quartile deviation of the heights.
answer
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K.C.S.E Mathematics Q & A - MODEL 2002PP2QN019

24/8/2020

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Form 4 Mathematics



The following distribution shows the masses to the nearest kilogram of 65 animals in a certain farm
The following distribution shows the masses to the nearest kilogram of 65 animals in a certain farm
  • ​a) On the grid provided draw the cumulative frequency curve for the given information.
  • b) Use the graph to find the:-
    • i) Median mass
    • ii) Inter-quartile range
    • iii) Percentage of animals whose mass is at least 42kg.
Answer
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K.C.S.E Mathematics Q & A - MODEL 2009PP2QN19

21/8/2020

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Form 4 Mathematics


The table below shows the number of goals scored in handball matches during a tournament.
Picture
Draw a cumulative frequency curve on the grid provided
b) Using the curve drawn in (a) above determine;
i) The median; 
ii) The number of matches in which goals scored were not more than 37;
iii) The inter-quartile range
answers
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K.C.S.E Mathematics Q & A - MODEL 2009PP1QN18

19/8/2020

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Form 4 Mathematics


The marks scored by a group of pupils in a mathematics test were as recorded in the table below
Picture
Picture
a) i) State the modal class 
ii) Determine the class in which the median mark lies 
b) Using an assumed mean of 54.4, calculate the mean mark

answers
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K.C.S.E Mathematics Q & A - MODEL 2008PP2QN22

18/8/2020

Comments

 

Form 4 Mathematics


The table below shows the distribution of marks scored by 60 pupils in a test.
Picture
a) On the grid provided, draw an ogive that represents the above information
b) Use the graph to estimate the interquartile range of this information.

answers
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