ONLINE MATHEMATICS ENTRANCE EXAMINATION - July 21, 2020 - Instructions and Test Questions

Aug 25, 2026

Uploaded by Miles

Online Mathematics Entrance Examination dated July 21, 2020, running from 11:00 to 12:30. The paper sets exam rules on time limits, completing all questions, no calculators, required working shown, and using a computer with stable high-speed Internet and electricity. It details disqualification conditions for leaving the room, unauthorized materials, communication, cheating, missing device checks, and technical issues handled by the applicant. The assessment includes 16 mathematics questions covering arithmetic sequences, circles and geometry proofs, bounds, fractions, rates, algebra, and applications of area, surface area, and worded word problems.

LanguageEnglish

CategoryExam

FormatPDF

Pages6

Reading Time15 min

AccessFree to download

Exam Instructions

Rules and Disqualification Conditions

Exam Logistics and Security Checks

Test Questions

Step and Distance Problems

Radius, Arithmetic Sequences, and Seating Prices

Fractions, Rounding Bounds, and Converting Repeating Decimals

Circle Geometry Proofs

Algebra, Area/Perimeter, and Scaling Problems

Calculus-Style Calculations and Simplification

Surface Area, Density/Weight, and Temperature-Height Formula

ONLINE MATHEMATICS ENTRANCE EXAMINATION DATE: JULY 21, 2020 TIME: 11.00-12.30 1. You have 1 hour and 30 minutes for the exam. 2. You must answer all questions. 3. No calculators are allowed. 4. Type your answers in the spaces below the questions. 5. Answers with no evidence of calculations will not score any marks. Workingsand answers written on any other page will not be considered. 6. You will need a computer connected to high speed Internet and stable electricity (You cannot take online math entrance exam on mobile phone) . Please note additional requirements: 7. Applicant will be automatically disqualified from the examination and will receive ascore of 0 for the exam and exam administration fee payment will not be reimbursed: a) If he/she leaves the room during the examination. b) If he/she talks, whispers, or turns around. c) If he/she found to have any unauthorized materials during the examination d) If he/she caught cheating in the examination. e) If he /she fails to show contents of his/her pockets or any other containers to the invigilators. f) If he/she is found to have a mobile phone or other electronic device (switched on or off) on his/her room/table during the exam. 8. During the examination period, any technical problems including poor internet connection from applicant’s side that may cause an applicant to leave the examination environment is under the applicant’s responsibility. 9. Applicant cannot re-join the exam and continue the examination process. Once you leave the examination or you disconnect, you cannot continue the exam. 10. Invigilator may conduct room security checks at any point during your exam. You must perform all requested security checks. Loss of time during these security checks cannot be made up. 11. Please follow detailed exam instruction sent to applicant’s personal account via admission system. 12.Applicant has to follow the instruction strictly during the examination. Applicant ID: All questions on this paper must be answered. Write the answers in the space below each question. Working must be shown for all stages of the questions. 1. Adham wants to average 10 000 steps per day this month. It is June 28th. Adham has averaged 9960 per day so far. He has two more days left. How many steps must he walk over the next two days to achieve his goal? (4 marks) 2. The radius of the London Eye is 60 m. How far will a person travel if the wheel turns 4 times? Use 3.14 as your value for 􀟨 . Give your answer to the nearest whole metre. (4 marks) 3. The seats in a theatre are priced so that the seats nearest to the stage are the most expensive and the price decreases each row back from the stage. In row A (nearest to the stage) the seats are $50 each. In row B the seats are $47.50 . In row C the seats are $45 etc. a) What is the formula for the nth term in this arithmetic sequence? (3 marks) b) What is the price of a seat in the 12th row from the stage? (2 marks) 4. (4 marks) 5. A farmer has some goats and some chickens. Altogether they have 72 heads and 212 feet. How many goats and chickens are there? (4 marks) 6. Calculate the surface area of the shape below. State the units in your answer. (3 marks) 7. a) The length of a pen is rounded to the nearest 10 millimetres. The length is give as 140 mm. What are the upper and lower bounds of the length of the pen? (2 marks) b) The decimal 0. ̇8̇1 has a period of length two. Using algebra, convert it to a fraction in its simplest form. (2 marks) 8. Yorkshire tea bags can be bought in 160 bag boxes and 240 bag boxes. | Option 1 Yorkshire Tea
160 bags for £3.40 | Option 2 Yorkshire Tea
240 bags for £4.50 | | --- | --- | a) What is the price per tea bag for option 1? (2 marks) b) How much cheaper, per tea bag, is option 2? (2 marks) 9. A , B , C and D are four points on a circle, centre O. PBA is a straight line. Angle PBC = 10

FAQs

What equipment and environment are required to take the online exam?

A computer connected to high-speed Internet and stable electricity is required. The instructions also state the exam cannot be taken on a mobile phone.

What actions can lead to automatic disqualification?

Disqualification applies if the applicant leaves the room, talks or whispers, has unauthorized materials, is caught cheating, fails to show pockets/containers, or has a mobile phone or other electronic device on the room or table.

What is required for scoring on the written questions?

All questions must be answered, and working with evidence of calculations must be shown in the provided spaces. Answers without calculation evidence do not receive marks, and work on other pages is not considered.

Aug 25, 2026

Uploaded by Miles