Binary Arithmetic Operations Question Answers 2022

Statistics
Student Name:
Instructor Name:
Course Number:
17th August 2019

Question 1
What is the result of the following calculation? Leave your answer in a tally format.
I I I I I I I - I I I I
Answer
I I I
Question 2:
What percentage of 70 does 49 equate to?
Answer
49
70∗100 %=70 %
Question 3:
a) Complete the table to show equivalent fractions and percentages.
Fraction Percentage
45
100 = 9
20
45%
2/3 2
3∗100 %=66.7 %
225
1000 = 9
40
22.5%
7/5 7
5∗100 %=140 %
b) A carton contains 150 cereal bars. What fraction of this number will each person get
when distributed to a class of 20 students?
Answer
150
20 =15
2
Question 4:
Samuel paid cash for 3 discount-priced football tickets. He was given £4.20 change from the
three £50 notes he tendered. What was the price of each ticket? Show your working.
Answer
3 P=50∗3 – 4.20

3 P=150 – 4.20
P= 150 – 4.20
3 =145.8
3 =48.6
Question 5:
a) Solve this binary arithmetic: 10011 +10101
Answer
10011 +10101 = 101000
b) Write the number 0.0101 as a power of 10.
Answer
0.0101=1.01 ×10−2
Question 6
As a promotional offer, a new hair salon offered its services at 20% discount for the first 2
weeks. Janice and her friends took advantage of the bargain and had their hair done for a total
amount of £100. Show your working.
a) What were the total savings made?
Answer
Let
C=cost before discount
100=(1−0.2)∗C
100=0.8C
C=125
125-100 = 25
£25 is the savings
b) Work out the average savings amount if 4 hairdos were done?
Answer
25
4 =6.25
£6.25 is the average savings
Question 7
Here are seven numbers. 5 12 12 8 4 10 5
a) Work out the mean of the seven numbers.
Answer
Mean=5+ 12+12+ 8+4 +10+5
7 = 56
7 =8
b) What is the mode of the seven numbers?
Answer

We arrange the numbers in ascending order as follows;
4 5 5 8 10 12 12
The mode is the most frequent number and in this case we have it as 5 and 12
Question 8
80 men and 120 women were asked if they enjoyed watching football.
Altogether 3 / 5 of the people said yes.
9 / 10 of the men said yes.
What fraction of the women said yes? (Show your working)
Answer
Total number who said yes is given as;
3
5∗200=120
Number of men who said yes is given as;
9
10∗80=72
Number of women who said yes is given as;
120−72=48
Fraction of women who said yes is given as;
48
120 =2
5
Thus 2
5 of the women said yes
Question 9
The table shows information about the marks of 20 students in a test.
Mark Frequency
14 2
15 5
16 4
17 4
18 5
Total 20