Entrance examination mathematics
the detailed solution below
Download 257.04 Kb. View original pdf
|
1 2
West.uz-Westminster lyceum - MATH-EXAM-SAMPLE-Tashkent-2019the detailed solution below. Write your answer here : ……………………………. Total for page 5 marks For more Westminster math exam sample and original tests join us www.west.uz www.west.uz Page 3 of 12 Question 2. Find the sum of all two-digit natural numbers are divisible by 2 but not by 3. Answer without the correct and detailed solutions will not be marked. Provide the detailed solution below. Write your answer here : ……………………………. Total for page 5 marks For more Westminster math exam sample and original tests join us www.west.uz www.west.uz Page 4 of 12 Question 3. The parabola y = 4x 2 – 12x + 5 crosses the x-axis at points A and B as shown on the right figure. Line segment CD in rectangle ABCD is tangent to the parabola at its vertex. What is the area of rectangle ABCD? Answer without the correct and detailed solutions will not be marked. Provide the detailed solution below. Write your answer here : ……………………………. Total for page 5 marks For more Westminster math exam sample and original tests join us www.west.uz www.west.uz Page 5 of 12 Question 4. How many liters of an 80 % acid solution must be added to 15 liters of a 6 % acid solution to get a 20 % acid solution. Answer without the correct and detailed solutions will not be marked. Provide the detailed solution below. Write your answer here : ……………………………. Total for page 5 marks For more Westminster math exam sample and original tests join us www.west.uz www.west.uz Page 6 of 12 Question 5. The numbers a, pi and q are different positive integers and p and q are prime. If a is divisible by p and q and if 𝑏 = 𝑎 𝑝∙𝑞 , then which of the following must be true Ii bi is not divisible by both p and q II. If b is divisible by r, then a is divisible by r III. b is a positive integer Answer without the correct and detailed solutions will not be marked. Provide the detailed solution below. Write your answer here : ……………………………. Total for page 5 marks For more Westminster math exam sample and original tests join us www.west.uz www.west.uz Page 7 of 12 Question 6. When the width and length of a rectangle are each reduced by 20%, the area of the new rectangle is 12 units less than the area of the original rectangle. What is the area of the original rectangle? Answer without the correct and detailed solutions will not be marked. Provide the detailed solution below. Write your answer here : ……………………………. Total for page 5 marks For more Westminster math exam sample and original tests join us www.west.uz www.west.uz Page 8 of 12 Question 7. The point O is a center of the circle. Dis a tangent point. Find the shaded area if 𝐴𝐵 = 4, 𝐴𝐶 = 2. Answer without the correct and detailed solutions will not be marked. Provide the detailed solution below. Write your answer here : ……………………………. Total for page 5 marks For more Westminster math exam sample and original tests join us www.west.uz www.west.uz Page 9 of 12 Question 8. Solve the simultaneous nonlinear equations { (𝒙 − 𝒚)(𝒙 𝟐 − 𝒚 𝟐 ) = 𝟒𝟓 𝒙 + 𝒚 = 𝟓 Answer without the correct and detailed solutions will not be marked. Provide the detailed solution below. Write your answer here : ……………………………. Total for page 5 marks For more Westminster math exam sample and original tests join us www.west.uz www.west.uz Page 10 of 12 Question 9. Three billionaires have a total of 30 billion dollars between them. If billionaire A has 300 million more than billionaire Band billionaire B has 600 million more than billionaire Chow much more money do billionaires Band C combined have than billionaire A alone Answer without the correct and detailed solutions will not be marked. Provide the detailed solution below. Write your answer here : ……………………………. Total for page 5 marks For more Westminster math exam sample and original tests join us www.west.uz www.west.uz Page 11 of 12 Question 10 . Given OQ parallel toWR; WV=VU=TU=WT=OW=QR and PQ=TS; WOQR a rectangular and PQTS a parallelogram. i) find the values of x and y ii) find the figure's total perimeter Answer without the correct and detailed solutions will not be marked. Provide the detailed solution below. Write your answer here : ……………………………. Total for page 5 marks For more Westminster math exam sample and original tests join us www.west.uz www.west.uz Page 12 of 12 END OF THE TEST TOTAL FOR TEST 50 MARKS USE THIS PAGE AS DRAFT For more Westminster math exam sample and original tests join us www.west.uz Download 257.04 Kb. Share with your friends:
|
1 2