Entrance examination mathematics



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ENTRANCE EXAMINATION
MATHEMATICS
M1


Date: July 2019





Time allowed 1 hour 15 minutes
10 questions by 5 marks. Total 50 marks

ANSWER ALL QUESTIONS IN DETAIL, SHOWING ALL YOUR WORK ON THE
SAME PAGE AS THE QUESTION. THE ANSWERS PROVIDED IN THE DRAFT
PAGE ORIN SEPARATE SHEETS WILL NOT BE CONSIDERED.
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KITOB,
DAFTAR,
KALKULYATOR
YOKI
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YORDAMCHI
MATERIALLARDAN FOYDALANISH TAQIQLANADI.
ПОЛЬЗОВАНИЕ КНИГОЙ, ТЕТРАДЬЮ, КАЛЬКУЛЯТОРОМ ИЛИ ЛЮБЫМ
ВСПОМОГАТЕЛЬНЫМ МАТЕРИАЛОМ ЗАПРЕЩАЕТСЯ.
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Question 1.
Simplify and find what values
𝑎 and 𝑏 can take.
(
𝑎√𝑎 + 𝑏√𝑏
√𝑎 + √𝑏
− √𝑎𝑏) (
√𝑎 + √𝑏
𝑎 − 𝑏
)
2

Answer without the correct and detailed solutions will not be marked. Provide

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