Common Entrance Mathematics 2023

2023 mathematics

MATHEMATICS (NCEE) Time allowed: 60 minutes

1.      Multiply 12 by 3 and express your answer in Roman numeral. A. XVI B. XXIV C. XXVI D. XXXIV E. XXXVI

2.      What are the prime factors of 24?  A. 1,2 B. 1, 2,3 C. 1,2,3, 4 D. 2,3 E. 2,3, 4

3.      How many seconds are there in 60minutes?   A. 3,600 B. 2,800 C. 2,160 D. 2,000 E. 1,500

4.      Express 0.6 as a fraction. A.1/5  B. 2/5  C.3/5  D. 4/5 E. 6/5

5.      Abubakar received 8 pounds for his birthday. How much did he receive if 1 pound is ₦450.00? A. ₦5,300.00   B. ₦4,580.00   C. ₦3,700.00 D. ₦3,600.00 E. ₦2,300.00

6.      Find the odd number between 17 and 34 that is a multiple of 11  A. 19  B. 21  C. 22 D. 27 E. 33.

7.      Find the sum of the square root of 625 and the square of 9. A. 106 B. 100 C. 81 D. 34 E. 308.

8.      8 men can plough a field in 10 hours. How long will it take 4 men, if they all work at the same rate? A. 25hours   B. 20hours  C. 15hours  D. 10hours  E. 5 hours

9.      If a man earns N33, 000.00 per month and spends ⅓ of his salary on bills, how much does he have left? A. N33,000.00   B. N30,000.00   C. N22,000.00   D. N15,000.0 0   E. N1,000.00

10.  Find the H.C.F. of 108, 27 and 9   A. 9  B. 7  C.5  D. 3 E.2

11.  Victor bought a blue pen at ₦50.00 and sold it for N 30.00. What is the percentage loss?  A. 20  B. 30 C. 40 D, 50 E, 60 A. 0.08

12.  Express 8 m in centimeters A. 0.08  B. 0.8   C. 8  D. 80 E. 800

13.  If a sales boy earns N 90,000.00 in a year, how much does he earns in a month? A. A5,500.00 B. N6,500.00 C. N7,500.00 D. N8.500,00 E. N9,500.00

14.  Change 22 % to a fraction in its lowest term.  A. 1/5  B. 11/50   C. 17/75    D. 23/100   E. 9/ 10

15.  How many minutes are there in 36 hours? A. 2,360 B. 2,260 C. 2,160 D. 2,150 E. 2,140 16.

16.  If a packet of sugar weighs 1.38 kg. What is the weight of 18 packets? A. 24.00 kg B. 24.64 kg C. 24.84 kg D. 25.60 kg E. 30.00 kg

17.  Find the positive difference between 528 and the sum of 3 10 and 67 A. 141 B. 151 C. 156 D. 162 E. 187

18.  A class consists of 36 girls and 18 boys. Find the ratio of boys to girls. A, 1:2 B. 1:3 C. 2:1 D. 2:3 E. 3:1

19. 
If Ade spends 5/12 of his pocket money on books, what fraction of it remains? A. 1/3  B. 5/12  C. 7/12   D. ¾   E. 5/6

20.  A ticket to a football match costs N2,400.00. How much should a family of four pay to watch the match? A. ₦I,200.00 . B. ₦2,400.00. C. ₦3,600.00. D. ₦4,800.00. E. ₦9,600.00.

21.  Subtract 2½ from 4⅓  A. ⅚   B. 1⅙ C. 1⅚  D 2⅙ E. 2⅚

22.   If 12 – x = 8, find the value of x A. 4  B. 6   C.12   D. 14 E. 20 

23.  Find the value of x in the equation 6x - 3 = 2x +13    A. 2 B. 3 C. 4 D. 5  E. 6

24.  Given that x + 3 =5, find the value of 2x. A. 2 B, 4 C. 6 D. 8 E. 10

25.  Calculate the area of the shaded portion in the diagram below.  A. 360cm³ B. 280cm³  C. 180cm³   D. 180 cm³  E. 80 cm²

26.  Find the value of the missing number; A. 10  B. 12  C. 14  D. 16 E. 18

27.  Calculate the circumference of a circle whose diameter is 42 cm.(Take = 22/7­)  A. 70cm  B. 88cm C. 100cm D. 120cm E. 132    

28.  Find the value of the missing number:  A. 63 B. 67 C. 98 D. 100  E. 103

29.  How many vertices does a cube have? A. 4  B. 6 C. 8 D. 10 E. 12

30.  Find the area of the parallelogram below.  A. 28 cm²    B. I5 cm² C. 11cm²   D. 9cm²  E. 3cm²

31.  Which of following polygons has seven sides? A. Heptagon B. Hexagon C. Nonagon D. Octagon E. Pentagon

32.   How many line(s) of symmetry has the shape below?  A. 5  B. 4 C. 3  D. 2  E. 1

33.  Which of the following shapes is NOT plane? A. cube  B. Rectangle C. Rhombus D. Square E. Triangle

34.  Calculate the area of a circle whose radius is 7cm. (Take  =22/7 )  A. 154 cm² B. 124 cm² C. 104 cm² D. 94 cm²  E. 54 cm²

35.  The area of a square is 16m². Find the length of its side.  A. 8 m B. 6 m C. 4 m D. 2 m E. 1m

36.  The price of textbook decreases from ₦2,000.00 to ₦ 1,200.00. Find the percentage decrease. A. 10%  B. 20%  C. 30%   D. 40%  E. 50%

37.  Find the value of x in the diagram below. A. 30⁰ B. 36⁰ C. 40⁰  D. 45⁰ E. 48°

38.  Find the volume of the diagram below. (Take  = 22/7) A. 170cm³   B. 590 cm³   C. 700 cm³  D. 1070 cm³   E. 1540 cm³

39.  Find the average of 10,4, 6,3 and 7.  A. 3  B. 4   C. 6  D. 7  E. 10

40.  Find the mode of the following numbers: 11, 10, 11, 11, 12, 13, 14, 14, 14, 15, 15, 16    A. 10 B. 11 C. 12 D. 13 E. 14

 

Introduction to commerce

The department in an Office or Organization

Right Attitude to Work

The Office Staff

The Office

Introduction to Business Studies

Introduction

A business is an organization or entity that is engaged in commercial, industrial, or professional activities. It involves producing, buying, or selling goods or services to generate profit.

Business activities refers to any action undertaken by an organization to produce, buy, sell, or provide goods and services with the aim of making a profit or achieving other objectives

Meaning of business studies

 Business study is the subject that teaches us about business and business activities. It provides us with the Knowledge, understanding, and skills needed for productive work or activity.

It can also be defined as the process of studying all human efforts and activities directed towards the development and satisfaction of human needs and the development of a nation through the production and distribution of goods and services

Importance of Business Studies

1.      Provides knowledge on how to start and manage a business efficiently.

2.      Equips individuals with skills required to be employed in various business careers.

3.      Enhances understanding of financial management, saving, and investment.

4.      Develop critical thinking and problem-solving skills for business operations.

5.      Contribute to national development by promoting trade and industry.

6.      Helps individuals make informed decisions as consumers and producers.

7.      Prepares students for business challenges in a globalized economy.

8.      It will expose students to the aspects involved in the  production of goods and services for the satisfaction of human wants

9.      It will enables students to know how files, records and accounts of business activities are kept in an office

10.  It teaches how to use office equipment such as scanner, computer, stapler etc.

11.  It teaches students how the office function

12.  It equip students with the knowledge of different forms of business organization

13.  It makes it possible for you to acquire further training in higher institutions of learning

14.  It equips you with the basic skills with which to begin an occupation, if you do not have an opportunity for further training

15.  It develops and prepares you for office occupations in future

 

Components of Business Studies

Office Practice: This involves the study of office procedures, administration, and management to ensure efficient business operations. It includes handling correspondence, filing systems, and office communication. That is, it deals with how clerical activities are carried out on a day-to-day basis within an organization in order to achieve set objectives and goals

Commerce: Commerce deals with trade and activities related to the exchange of goods and services. It covers areas like retail and wholesale trade, transportation, banking, and insurance. It deals with buying, selling and distribution of goods and services

Book-keeping: This is the component of business studies that is concerned with recording business transactions in an orderly and meaningful manner. It helps in maintaining accurate financial records, preparing accounts, and ensuring financial accountability and informed decision making

Keyboarding:  Keyboarding is the ability to type or input data efficiently using a computer or typewriter. This skill is important for data entry, document preparation, and improving productivity in modern office environments.

 

Career/ employment opportunities in business studies

Business studies enable people all over the world to become important personalities such as:

1.      Accountants                                                 10.  bankers  

2.      Stockbrokers                                                11.  Insurance brokers

3.      Managers                                                     12.  Public administrators

4.      Publishers                                                    13.  clerks

5.      Secretaries                                                   14. proprietors

6.      Traders                                                         15.  Directors

7.      Chief executive officers                              16.  Teachers

8.      Entrepreneurs

9.      Sales representative