matematik

Exercise 1 Interpret the index number for each of the following situations.
1. The index number of the number of handphone users in a country in the year 2019 based on theyear 2018 is

175.

2. The index number of the usage of electricity in a district in the year 2019 based on the year 2015 is 135.

3. The index number of the number of road accidents in a state in the year 2018 based on the year 2016 is 240.

4. The index number of the price of a type of racket in the year 2019 based on the year 2010 is 55.

5. The index number of BMI (body mass index) of the students in a school in the year 2018 based on the year
2015 is 134.

6. The index number of the air pollutant index in a certain zone in the year 2015 based on the year 2011 is 84.

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Exercise 2 Solve the following. Hence, interpret the index number obtained.
1. The number of residents in a village increased from 840 in the year 2017 to 966 in the year 2018. Calculate the

index number of the number of residents in the year 2018 based on the year 2017.

2. A company sold 1 200 units of brand X smartphones in the year 2015 and 1 500 units in the year 2018.
Calculate the index number for the number of smartphones sold in the year 2018 based on the year 2015.

3. The number of students in a school decreased from 1 600 students in the year 2017 to 1 520 students in the
year 2018. Calculate the index number to show the change in the number of students in the year 2018 based on
the year 2017.

4. The table shows the number of cars sold by a company in the year 2016 and 2018. Calculate the index number
to show the change in the number of cars sold in the year 2018 based on the year 2016.

5. The table shows the number of road accident cases in a country in two years. Calculate the index number to
show the change in the number of road accident cases in the year 2019 based on the year 2018.

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Exercise 3 Calculate the price index for each of the following.
1. Calculate the price index for the year

(a) 2013 based on the year 2012
(b) 2012 based on the year 2013

2. Calculate the price index for the year
(a) 2011 based on the year 2009
(b) 2009 based on the year 2011

3. A box of tissue costs RM1.20 and RM1.60 in the year 2003 and 2006 respectively. Calculate the price index of
a box of tissue for the year 2006 based on the year 2003.

4. The price of a pair of shoes in the year 2009 was RM150.00. The price decreased to RM129.90 in the year
2012. Find the price index of the shoes for the year 2009 based on the year 2012.

5. The table below shows the price of a type of washing machine in the year 2015 and 2018. Calculate the price
index for the year 2018 based on the year 2015.

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6. The table below shows the price of a type of smartphone in the year 2012 and 2018. Calculate the price index
for the year 2018 based on the year 2012.

Exercise 4 Find Q0 or Q1 for the related index number.
1. The price of a plate of chicken rice in the year 2005 was RM3.00. The price index for a plate of chicken rice

for the year 2012 based on the year 2005 is 140. Calculate the price of a plate of chicken rice in the year 2012.

2. The average monthly telephone bill for a school in the year 2005 was RM70.00. The index number of the
telephone bill is 125 in the year 2012, using the year 2005 as the base year. Calculate the average monthly
telephone bill for the school in the year 2012.

3. The table shows the prices of 100 g of mushroom. The price index for the year 2013 based on the year 2011 is
135. Calculate the price of the mushroom per 100 gram in the year 2013.

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4. The table shows the prices of an acre of land. Calculate the price of the land in the year 2007 if the price index
for the year 2011 based on the year 2007 is 175.

5. Jamal’s monthly salary in the year 2012 was RM3 780. The index number for Jamal’s monthly salary for the
year 2012 based on the year 2002 is 315. Calculate Jamal’s monthly salary in the year 2002.

6. The price for a kilogram of sugar in the year 2013 was RM4.50. The price index of 1 kg of sugar in the year
2013 using the year 2001 as the base year is 150. Calculate the price of 1 kg of sugar in the year 2001.

Exercise 5 Solve each of the following.
1. The table shows the price indices of three types of cars. Find the value of p, q and r.

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2. The table below shows the price indices of three types of houses. Find the value of p, q and r.

3. The table below shows the price indices of three types of shirts. Find the value of p, q and r.

4. The price indices of a scarf for the year 2010 based on the year 2005 and 2007 are 132 and 125 respectively.
Calculate the price of the scarf in the year 2007 if the price in the year 2005 was RM25.00.

5. The table shows the price indices for a type of soap for the year 2000 and 2001 using year 1999 as the base
year. Find the price indices of the soap for the year 1999 and 2001 based on the year 2000.
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Exercise 6 Calculate the composite index for each of the following.
1. The table below shows the price indices of four ingredients used to produce a type of drink for the year 2020

based on the year 2015. The pie chart below represents the relative quantity of the ingredients used in poducing
the drink. Calculate the composite index for the year 2020 based on the year 2015.

2. The table below shows the price indices of three materials used to produce a type of bottle for the year 2019
based on the year 2015. The quantities of materials P, Q and R used are in the ratio of 10 : 3 : 2. Calculate the
composite index for the year 2019 based on the year 2015.

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3. The table below shows the price indices of three materials used to produce a type of battery for the year 2015
based on the year 2010. The pie chart below represents the relative quantity of the materials used in producing
the battery. Calculate the composite index for the year 2015 based on the year 2010.

4. The table below shows the price indices of four ingredients used to make a type of biscuit for the year 2018
based on the year 2011. The bar chart below shows the masses of the ingredients used to make the biscuit.
Calculate the composite index for the year 2018 based on the year 2011.

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5. The table below shows the prices of four items sold in a shop and their respective weightages. Calculate the
composite index for the year 2020 based on the year 2016.

6. The table below shows the number of accident cases of four states and their respective weightages. The
weightage represents the number of populations of the state. Calculate the composite index for the year 2018
based on the year 2016.

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7. The table below shows the index numbers and the weightages of four items. Calculate the composite index of
all the items.

8. The table below shows the price indices of four types of magazines for the year 2012 based on the year 2010
and their respective weightages. Calculate the composite index of all the magazines for the year 2012 based on
the year 2010.

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