SOLVING MATH IN ENGLISH EXAMINATION CHOOL YEAR 2019 2020 GRADE 8 There are 15 questions (from 1 to 15) Write down one letter before fight answer in each question Each question is worrth 1 mark Questio[.]
SOLVING MATH IN ENGLISH EXAMINATION CHOOL YEAR 2019-2020 GRADE There are 15 questions (from to 15) Write down one letter before fight answer in each question Each question is worrth mark Question Calculate 19992 19982 19972 19962 32 22 12 A 1999 B.2 C 1999000 D -2 Question Let a,b and c be positive integers The sum of 160 and the square of a is equal the sum of and the square of b The sum of 320 and the square of a is equal to the sum of and the square of b Find a A 17 B 13 C 23 D 15 Question Let x be a two-digit number Denote by f x the sum of x and its digits minus the product of its digits Find the value of x which gives the largest possible value for f x A 90 B 30 C 60 D 40 2000 Question Find the unit digit of 17 ? A B C D Question Find two unequal numbers p and q such that p q 192 and p q is as large possible A 225 B 351 C 123 D 531 Question Given that D is a point the side BC of a thiangle ABC such that AC CD and CAB ABC 45 Find BAD ? Question Given that P is point inside a rectangle ABCD If PA 4; PB and PD Find PC A 10 B C 12 D 101 Question Determine all primes p for which there exists at least one pair of integers x and y such that p x and p y A 11 B C 13 D Question Given are two three –digit numbers a and b and a four-digit number c If the sum of the digits of numbers a b, b c and c a are equal to 3, find the largest possible sum of the digits of the number a b c A 10800 B 108 C 820 D 120 Question 10 Let P x x ax bx cx d where a, b, c and d are constantd If P 1 10; P 2 20; P3 30 What is the value P 10 P 6 ? A 2860 B 1200 C 8104 D 6840 Question 11 P is point inside an equilateral triangle ABC such that PA 4; PB and PC Find the area of triangle ABC ? A P C B A 28 B 24 C.18 D 12 Question 12 ADEN is a square, BMDF is square such that F lines on AD and M lines on the extension of ED C is the point intersection of AD and BE If the area of triangle CDE is square units, what is the area triangle ABC ? A B M N E C E D A 12 B C 10 D Question 13 In triangle ABC , bisectors AA1; BB1; CC1 of the interior angles are drawn If ABC 120 What is the measure of A1B1C1 ? A 90 B 80 C 60 D 100 Question 14 For how many different real value of k there exist real numbers x,y and z x y yz zx such that k? z x y A B C D Question 15 Given that L is a point on the diagonal AC of a square ABCD such that AL 3LC K is the midpoint of AB What is the measure of KLD ? A 80 B 90 C 60 D 30 There are questions (from 16 to 18) Show your detailed solution on the exam paper Each question in worth marks Question 16 Let x, y be a rationnal number such that: x y x y xy 1 2 Prove that: xy is a rational number Question 17 Let ABCD be a quadrilateral AC intersects BD at O Draw through B, O, C perpendiculate to AD at I , K , H respectively Prove that: AD.BI CH AC.BD.OK Question 18 Given a3 3ab2 9; b3 3a 2b 46 Find the value of P a b2 The and ... Question 13 In triangle ABC , bisectors AA1; BB1; CC1 of the interior angles are drawn If ABC 120? ?? What is the measure of A1B1C1 ? A 90 B 80 C 60 D 100 Question 14 For how many different