10:14 AM question 2008 maymansing |
| - - , ! " : $% & , , । 1 : ' ()& Category – Primary ( + - , - ./0)1 Registration No : Name : Class : [ 45 65 $ 5 7 8 7 !। 7 :5" 7। ;: 4/ 65.= >. 7? 5 / । 65 7 !। 7?5 " 5 5"@% A5 7 B: " $ !। C 5 65.= D 5 ! ।] 1. ! "# $% । & ' ( ) 15 ! *, + 15 ! ' "# , * 35 !। ! & ' (? Basic Ali has to be at work by 9:00 a.m. and it takes him 15 minutes to get dressed, 15 minutes to eat and 35 minutes to walk to work. What time should he get up? 2. " - - ./ 0 ./ ./। Write in numbers- Nine million ninety thousand ninety 3. 1 $ 234 : 1155 Find the prime factorization of: 1155 4. 5! 6 1 -7 8 "$ 5! 6 9 -7 - ।5 ! -7 : ,; <! 6/ :? Suppose you have put all the prime number in a box and even numbers in another box. How many numbers are there which are in both boxs? 5. ' = > ?@ $A : 7 BC । , 8 D ?@ $A "$ ? :। E ?@ $A 9 F9 ' G *9 ?@ $A H; 5 = </ "$ ? '। 8/ = *9 ?@ $A ? Minimum temperature of the first Saturday of January was 7 degree Celsius and it remained same for the next 3 days (Sunday, Monday & Tuesday). Wednesday the minimum temperature was twice the average - - , ! " : $% & , , । 2 minimum temperature of first four days and it remained unchanged for last 2 days of the week. What was the average minimum temperature of that week? 6. G ! : 9। : $ H;। 5- ? Raju is eight years older than his sister. In three years he will be twice as old as she is. How old are they now? 7. IJ 14 K! E7 4 LE $ :, 6 $ : 3 - <!/ $:। 5-8 - :/ $ /? There are 14 cricketers in the dressing room. 6 cricketers are wearing socks and 4 cricketers are wearing shoes, 3 cricketers are wearing both. How many cricketers are in bare feet? 8. A 8 B 5 E7 ? MN 60 !। A 8 B ' </! ,A । </! , 5/ , 6 &O! $ P , $ G 2 &O! $ । Q * * * &O! !? Points A and B are 60 km apart. One bus starts from A and another starts from B. If they go in same direction, they meet in 6 hours and if they go in opposite direction they meet in 2 hours. What is the speed of the bus move faster? 9. 10. <! 1 -7 ; 377 *; ? If LCM of two prime numbers are 377, what is the GCD of these two numbers ? 11. 2000-5 9 5 4000-5 :! ; 9 -7 : , 3 H R7? How many multiple of 3 which are odd numbers and greater than or equal to 2000 and less than or equal to 4000 are there? 12. E! ,*# 4? । Find the summation of the following sequence 101+102+103+...+199+200-1-2-3-...-99-100 - - , ! " : $% & , , । 3 : ' ()& Category – Junior ( FG – - ./0)1 Registration No : Name : Class : [ 45 65 $ 5 7 8 7 !। 7 :5" 7। ;: 4/ 65.= >. 7? 5 / । 65 7 !। 7?5 " 5 5"@% A5 7 B: " $ !। C 5 65.= D 5 ! ।] 1. 4? Evaluate 10.73 10.73 10.73 4.27 4.27 4.27 10.73 10.73 10.73 4.27 4.27 4.27 ´ + ´ + ´ ´ ´ - ´ ´ 2. 11! K SR -7 ,*# 2761। T -7! ? If the sum of eleven consecutive natural numbers is 2761, then what is the middle number? 3. 5! U $E $ , $FG! V ! V ,* ?! ! AR ) W ? How many triangles you can draw using any three of the five points on the circle as vertices? 4. E! $ ? $ ! 4? 1,1,2, 3, 5, 8, 13… Find the next member of the sequence 1, 1, 2, 3, 5, 8, 13… 5. 5! 0A ) &?7 % G;। 5 0A# 100 *?! ) &?7 8 % ? The length of a rectangle is four times as long as its width. The area of the rectangle is 100 metres squared. What are the dimensions of the rectangle? 6. G E! "; ,*# । What is the sum of all the digits in the sequence 1, 2, 3, 4, 5, 6, 7,...99, 100? 7. 44 5 *? G 9 P 45 5 *? G :! 5! -7 , 5! X$ Y 5 5 *? 5 -7! 13 5 ; । - - , ! " : $% & , , । 4 Find the number that is greater than 44 squared and less than 45 squared. 5 squared is one of its factors, and it is a multiple of 13. 8. 5! H Z AR RM 10 । , AR! 0A# 60 *? O!! > , ARM! $ ?[ $? The base of isosceles triangle is 10 cm long. If the area of the triangle cannot exceed 60 square centimeters, What is the maximum number of centimeters in the perimeter of the triangle? 9. ABCD 5! *?0A। ABCD 5 Z; E7 V ,* EFGH *?0A $8 *। 5/R EFGH -5 Z; E7 V ,* A`B`C`D` *?0A $8 *। ABCD-5 0A# A`B`C`D`-5 0A# ;? Given a square ABCD consider the square EFGH that has its vertices in the midpoint of ABCD. What is the ratio of the area of ABCD to the square A`B`C`D`, whose vertices are the midpoints of EFGH? 10. : Simplify 2 3 4 5 6 7 28 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 + + + + + + + 11. # ! L^ ,* _ 3 ` $: ! "L^ ,* _ ` -/:। 30 ! ,* _ = ` 40 ! ,* L^ :? Faria gets 3 marks for each correct sum and loses 2 marks for each wrong sum. He attempts 30 sums and obtains 40 marks. How many sums he solved correctly? - - , ! " : $% & , , । 5 : ' ()& Category – Secondary ( - $% ) Registration No : Name : Class : [ 45 65 $ 5 7 8 7 !। 7 :5" 7। ;: 4/ 65.= >. 7? 5 / । 65 7 !। 7?5 " 5 5"@% A5 7 B: " $ !। C 5 65.= D 5 ! ।] 1. a + -7 G 4 ! E $8 , ? If a is a natural number how many solutions does the following equation have? ||a| + 3| - 2| =1 2. A 5! ! , ; 24, 36, 48 8 60 :>3 R* । A !! $^ -। 3. G 7! x 5 _ 7, : : _ 7 _ '7। Tell whether this statement is always, sometimes, or never true: f(g(x)) = g(f(x)) 4. G " U -7 12, 18 8 35 H R* 7 " >a '? What is the greatest number of four digits, which when divided by 12, 18 and 35 leaves 7 as reminder? 5. ABCD *?0A Z ) &?7 12 m, 5 AB Z ! "> Rb : AE, EF 8 FB। EC 5 FD $c H V $c : । HCD AR 0A# ? In the square ABCD, its side AB (12 m long) is divided into three equal segments: AE, EF and FB. EC and FD intersect in H. What is the area of the triangle HCD? 6. "CFOSU" -5 4?; "RE K "FOCUS" % ' ? The letters "CFOSU" are arranged in dictionary order. What is the rank of the word "FOCUS" in this order? - - , ! " : $% & , , । 6 7. 4? Evaluate Sin00.Sin10.Sin20.Sin30...............Sin1490.Sin1500 8. , (x + 3) , 3x2 + ax + 6 -5 5! X$ , a –5 ? If (x + 3) is a factor of 3x2 + ax + 6 , then what is the value of a? 9. 5! 56 7E? U 8 ,। , e *?0A K 8 , *?0A 0A# ? A wire can be bent in the form of a circle of radius 56 cm. If it is bent in the form of a square, then what will be its area? ) 7 22 (p = 10. {1, 2, ..., 100} ! ' 50! $U' -7 , ,*# 3000। 5/ 50! -7 E7 $0 ! -7 9? Considering 50 distinct numbers, picked at random from the set {1, 2, ..., 100} whose total sum is 3000, what is the least amount of even numbers possible? 11. {1, 2, ..., 100} ! ' 50! $U' -7 , ,*# 3000। 5/ 50! -7 E7 $0 ! -7 9? Considering 50 distinct numbers, picked at random from the set {1, 2, ..., 100} whose total sum is 3000, what is the least amount of even numbers possible? 12. $c 8$ ` 5 </! 7 U "R7f : :। 5! 7 </! "> ,'K 3 8 4 5 "_! ">H 6 8 2 । U 7 ? Two perpendicular chords intersect in a circle. The segments of one chord are 3 and 4, the segment of the other are 6 and 2. Find the diameter of the circle? - - , ! " : $% & , , । 7 : g &O! Category – Higher-Secondary (gg>-g >) Registration No : Name : Class : [ h B - % - । -7 / -। 5/ h/$A j$ -9 , । - । -9 * k> ` - " l/ । $A M7 ।] 1. G > m n $ ? (x2 + x-3)10 Find the constant term of the expansion of (x2 + x-3)10 2. 5! U "f?- Z ARM $ p । e U 0A# 4? ? Given that p is the perimeter of an equilateral triangle inscribed in a circle, find the area of a circle ? 3. > (ax3 + 3x2 - 3)8 (2x3 + 3x2 - 3) - (x - 4) H R* / 5/ " >a '। a 5 ? The polynomials (ax3 + 3x2 - 3) and (2x3 + 3x2 - 3) when divided by (x - 4) leaves the same reminder. What is the value of a? 4. G E! ' 10 $ a ? 7+5+12+17+29+29+46+75… What is the sum of the first 10 term of the following sequence? 7+5+12+17+29+29+46+75… 5. ! ! K Eo $M?-7 (, p 5 G 9) ' 8/ ! ?[ ! 1 -7 ' W ? Consider any set of 20 consecutive positive integer numbers greater than 50; what is the greatest possible prime numbers in the set? 6. ABCD 5! U% G RM?-5 AB8 CD Z E? P V : । "j$R AD 8 BC-5 E? > Q V : । , <ADC=850 8 <BPC=400 <CQD=? - - , ! " : $% & , , । 8 The sides AB and DC if a cyclic quadrilateral ABCD are produced to meet at P, the sides AD and BC are produced to meet at Q. If the <ADC=850 and <BPC=400 then find the <CQD. 7. 5! I 5/ 2! , 3! 8 4! - :। O! ' ) G 1! । $ #O! " >a ; ' ) G 5! । O! ! 5 #O! ! W ? A box contains two red balls, three blue balls, and four green balls. Nonte draws one ball from the box, and then Fonte draws a ball from those remaining. What is the probablity that Nonte draws a green ball and Fonte draws a blue ball? 8. P(x) = x3+ax2+bx+c Z$ </! M ,*# >M_। P(x) 5 *; E7 r? 4? । Let P(x) = x3+ax2+bx+c and suppose that the sum of two of the solutions of the polynomial is zero. What is the relation between the coefficients of P(x)? 9. G > ?@ ? 2x2 -8x + 7 What is the minimum value of 2x2 -8x + 7 ? 10. 1717 5 5 & "s! ? What is the unit digit of 1717? |
|
|
| Total comments: 0 | |