Maths Study Material: Fractions, Equations, and Statistics

MATHS

TABLE OF CONTENTS
PART 1............................................................................................................................................3
PART 2............................................................................................................................................5
PART 3............................................................................................................................................7
REFERENCES..............................................................................................................................14

PART 1
1. Numerator: When any number is written in the form of a fraction, it is represented as a/b
where a is the numerator which means the top part in fraction is numerator. It represents
part of whole (Liu, Gai and Zhou, 2016).
Denominator: The bottom part of a fraction is denominator which represents the
complete whole.
For example, in a fraction 2/5, 2 is the numerator and 5 is the denominator.
2. 24/40 can be expressed as 3/5 in its simplest form as it can be reduced as:
24/40= 12/20=6/10=3/5
And, 18/42 can be written as 3/7 as it can be reduced as:
18/42=9/21=3/7
3. a. 2/3*4/4= 8/12
3/4*3/3=9/12
5/6*2/2=10/12
b. Total number of books in the library= 60,000
Books of business= 14,000
Books on healthcare=22,000
Books on psychology and law=12,000
Remaining books= 60,000-14,000+22,000+12,000=12,000
Books on computing= 2/3 * 12,000=8000
Percentage of Computing books= 8,000/60,000*100=13.33%
4. Money Liz has given to sales attendant= 3*£50= £150
Money Liz got in return=£10.50
Cost of two pair of shoes= £150-£10.50= £139.5
Price of each pair of running shoes= £139.5/2= £69.75
5. a. 240.50 x 19.54= 4699.37
Answer up to 2 significant figures= 47
3

b. 52100=5.21*104
6. a. Total discount offered by gym= 30%
Total amount given by Patty and her two siblings= £210
Let the total amount paid by 3 of them before discount be x.
Total amount before discount can be calculated as:
x-(30/100*x) = £210
x= £300
Total savings= £300-£210=£90
b. Average savings per person= Total Savings/3
= £90/3= £30
7. a. 3/4-7/9+2/3= 3/4-(7/9+2/3) (Applying BODMAS)( Kuksin, 2018)
= 3/4- {(7+8)/9}
=3/4- 13/9
= (27-52)/36
= -25/36
b. The largest number among 0.1, 0.02, 0.003, 0.0004, 0.00005 is 0.1 as it 1 part of 10.
0.1=1/10, 0.02=2/100, 0.003=3/1000, 0.0004=4/10000, 0.00005=5/100000 which
means 1/10 is the largest number making 0.1 the largest among all.
8. Total no. of men who were asked= 90
Total no. of women who were asked= 60
Total no. of people who were asked= 150
Total number of people said yes= 3/5*150= 90
Total number of women said yes= 3/10*60= 18
Total no. of men said yes= 90-18= 72
Total no. of men said no= 90-72=18
Total percentage of men said no= 18/90*100= 20%
9. Annabelle can leave home at 8.05 am. The working is as shown below:
4