Westminster International University in Tashkent - Mathematics Entrance Exams 2008

Aug 25, 2026

Uploaded by Eden

Entrance examination paper for Mathematics (2008) from Westminster International University in Tashkent, covering problem-solving in algebra, graphing, equations, geometry, and number sequences. The exam specifies a one hour ten minutes time limit, requires all rough calculations to be shown for scoring, bans calculators, and instructs candidates to use blank pages for working. Questions include solving systems with given variables, computing ranges, plotting quadratic and linear graphs, and finding areas and angles in triangle configurations.

LanguageEnglish

CategoryExam

FormatPDF

Pages15

Reading Time38 min

AccessFree to download

Mathematics, 2008

March 2008

April 2008

May 2008

June 2008

July 2008

Westminster International University in Tashkent A set of entrance exams on Mathematics 2008 Time allowed: One hour ten minutes Answer all questions. It is advised that you work quickly and that you leave behind questions that are taking you too long to answer. You should only bring in writing material (pens, pencils, erasers, rulers). No calculators are allowed. All your rough calculations have to be presented. Answers with no evidence of calculations will not score any marks. Use the blank pages of the exam paper to do your rough work. Nothing should be removed from the exam room. THESE SAMPLES ARE FREE OF CHARGE AND MAY ONLY BE USED FOR ACADEMIC PURPOSES A set of entrance exams Question 1 Find x and y when 4x + 5y + 3z = -11 , 5x + 4y + 4z = 3, and z = 4 Mathematics, 2008 March 2008 Answer: x = and y = Question 2 IfA = x-x1--yxy 1-x(x-y) 1-xy and B = yy--39y++y32~~ ~~ , find the value of AB. 3 Answer: AB = Question 3 Umid started depositing £128 every day starting on January 1st, 2007, while Farukh deposited £1 on the first day of2007, £2 on the second day, £3 on the third, and so on depositing £m on the mth day of 2007. a) What was the total amount (sum) deposited by each one by June 1st? b) At what date of the year was the total deposited by Umid the same as the total deposited by Farukh? Answer: a) On June 1st the total amount deposited by Umid was £ , and by Farukh £ b) The date when both will have deposited the same total is 2007. A set of entrance exams Mathematics, 2008 Question 4 Plot the graph of y = x2 – 5x + 6 showing clearly the points where y meets the axes. X=3, y = 5 Question 5 Find the range ofx for which 9x1~~ ~~2-10x9-2 ³ 2 Answer: Question 6 In an equilateral triangle ABC with AB = BC = CA = 4cm, the point D is the midpoint of BC and Eis a point between D and C. If AE2 = 13EC2, calculate the area of the triangle AEC. ( 3 = 1.732) Answer: the area of AEC is cm2. A set of entrance exams Mathematics, 2008 April 2008 Question 1 Solve (2-3x)(4-5x) = (3-2x)(6- ~~ ~~7x) . Answer: x = Question 2 IfA = 1000 – 999 + 998 – 997 + …+ 4 – 3 + 2 – 1 and B = 1- 1 1- 1 1- 1 1- 1 calculate the value of the product AB. è 2 øè 3 øè 4 ø...è 1000 ø, Answer: AB = Question 3 A farmer had some boxes (more than one) each containing the same number of apples (at least five) . If the total number of apples was 219 , how many boxes did the farmer have and how many apples did each box contain? Answer: He had ...… boxes, each containing ….. apples. A set of entrance exams Mathematics, 2008 Question 4 Plot the graph of y = (2x – 1)2 + 1 showing clearly the point where y takes its smallest possible value. X=3, y = 5 Question 5 Find the sum of all the whole numbers less than 2008 whose last digit is 7. Hint : 7 + 17 + 27 Answer: The sum is Question 6 In the figure below, AB = AC, BP = BQ and PA = PR. Find the value of Ð CAB to 2 decimal points. A P B Answer: Angle Ð CAB = o A set of entrance exams Mathematics, 2008 May 2008 Question 1 Solve the equation − ~~ ~~x72 + 16 (x2 − 5x + 6) = 1. Question 2 Find the value ofA = x 2 -1 2x 2 - 4x 2 -1 1 + x~~ ~~x-1 Answer: x = or or -x Answer: A = Question 3 A sum of money was divided between A, B and C. C got twice as much as A, and A and B together got £50 . When A and C gave a fifth of their money to charity and B gave a tenth, £10 were collected. What was the original sum of money equal too? Answer: £ A set of entrance exams Mathematics, 2008 Question 4 Plot the lines y = 3x + 2 and y = 6-x showing clearly the point where they meet X=1, y = 5 Question 5 Find the sum of all the numbers between 100 and 1000 that are divisible by 14 Answer: The sum is Question 6 In the figure below, find the sum of the angles a, b, c and d. a b d c Answer: a + b + c + d = o A set of entrance exams Mathematics, 2008 Jun

FAQs

What are the exam timing and calculator rules for the Mathematics 2008 paper?

The exam allows one hour ten minutes. Calculators are not allowed.

Why must rough calculations be shown?

Answers without evidence of calculations will not score marks, so working must be presented.

What types of questions appear in this Mathematics 2008 entrance exam?

The paper includes algebraic equation solving, finding ranges, plotting functions to locate intercepts or minima, and geometry problems involving triangle area and angle relationships.

Aug 25, 2026

Uploaded by Eden