exclude. PAKTURK 9 th National Interschool Maths Olympiad Q4: ? Q1: Evaluate

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Q: Evaluate 8 9 Q: 8? 6 7 9 6 7 8 9 8 6 8 8 6 8 9 Q: Which of the following is equal to 8 0 6 8? 0 Q: Find x if x 8 0 7 7 x x x x 8 x Q: What is the maximum number of Mondays in 7 consecutive days? Q6: Which of the following fraction shouldn t be 7 9 7 in so the order will be correct? 7 8 9 0 7 9 7 In one week there are 7 days and 6 7=8 Mondays for the maximum number of Mondays 8+=9 7 9 7... exclude 9. We believe what is taught with love lasts forever Page of 0

6 Q7: Find the value of 6 09 9 6 6 Q0: What is the number that is of of of 00? 0 0 6 6 8 09 00 00 0 Q8: If x, then evaluate x x x Q:...? 0 x x x 9 0... 0 0 Q9: a and b are integers such that a and ab 8 What is a b? a a a b 8 b 8 b a b 9... 0 9... 0 0 Q: A man can travel 00 km on liters of petrol. How many liters of petrol are needed to drive 70 km? 0 6 8 00 km on liters of petrol 0 km on 6 liters of petrol x0=70 km on x6=0 liters of petrol We believe what is taught with love lasts forever Page of 0

Q: Evaluate 0. 0. 0. 0. 77 6 7 7 7 7 Q6: Evaluate 0 7 0 8 0. 0. 0. 0. 0 0 0 0 9 6 0 0 00 0 0 0 77 0 0 60 6 Q7: Which of the following is a positive number? Q:? 8 0 9 77 7 88 8 9 Q: Which of the following is not equal to 6? 7 7 7 77 7 77 7 Q8: Find the remainder when 8 is divided by 7 9 6 6 8 We believe what is taught with love lasts forever Page of 0

Q9: If a, b, c 6 0.0 0.0 0.07 Which of the following is correct? c a b c b a a b c a c b 6 a 66.7, b 80, c 8.7 0.0 0.0 0.07 a b c Q: If Evaluate a 0. and a b b a b 0.6 Q0: Find the greatest number that will divide 09, 7 and 6 so as to leave the same remainder in each case. 7 9 09 7= (Remainder=) 7 7= (Remainder=) 6 7= (Remainder=) Q: Find the unknown angle in the rectangle. a b 0. 0.6 6 b a 0.6 0. 6 Q: A number when divided by 6 leaves a remainder. What will be the remainder when the square of the number is divided by 6? 6 9 Let s take any number like 9 6 (gives remainder ) and 9 =8 6 (gives also remainder ) 0 0 0 0 We believe what is taught with love lasts forever Page of 0

Q: These numbers are arranged according to a certain rule. Find the number indicated by question mark. Q6: Which of the following is the fraction of the shaded region in the figure? 6 8 7 9 6 8 6 Q: Simplify 0. 0.6 0. 0. 0. 6 6 0.6 0 0 0. 0. Q7: A person crosses a 600 m long street in minutes. What is his speed in km per hour? 6.8 km/hr. 7.0 km/hr. 7. km/hr. 7. km/hr. d 600 6 6 s 7. km / h t 000 60 0 0 We believe what is taught with love lasts forever Page of 0

Q8: Which of the following is an odd number if is odd and n is an even number? m m mn m m n mn m n n Q: The LCM of 6 and is x and the HCF of 8 and 8 is What is the value of x y? y 78 60 66 m mn odd ( ) The LCM of 6 and is and 8 is x 8 and the HCF of 8 x y y 6 the value of 8 6 Q9: Find the number which is represented by? in the number pattern? Q: What is the missing number in the sequence shown below?, 8, 7,?,, 6 6 7 6 6 99 =6 Q0: On a bus, the number of women is five less than the number of men. Twelve women and eight men get off the bus. There are passengers left on the bus. How many women were there on the bus at the beginning? 8 9 0 Women:x-, Men: x ; x+x---8= then x=6 then x= then women=-=8 Q: According the rule used below 6 6, find the sum of the natural numbers up to 0 0 6... 8 0 We believe what is taught with love lasts forever Page 6 of 0

Q: There are 00 chairs in conference hall. If 6 % of the chairs are given to the female and % of chairs are given to the males, then how many chairs left for the children? 80 0 60 00 6%+%=60% means remaining 0% for the children. That is 0% of 00=0 chairs Q7:,,,,... The Pattern above is formed according to a rule. Find the twentieth term in the number pattern. 7 9 0 0 Q: What is the number of whole numbers that lie between and? 6 7 8 9 between and means between 6 and 6. 6-6=8 then 8-=7. Q8: In a class of 0 students, 70 % of them are boys. What will be the percentage of girls in the same classroom after 8 boys leave the school?.% 6% 7% 7.% 0% of 0= girls. When 8 boys leave there will be students. Q6: A library has an average of 0 visitors on Sundays and 0 on other days. The average number of visitors per day in a month of 0 days beginning with a Sunday is: 8 8 90 The percentage of girls=(x00)/%=7/%=7.% Sundaysx0visitors=0 visitors and Q9: The figure below is made by four congruent rectangles and square. Find the sum of perimeter of all quadrilaterals. remaining days without Sunday is x0= 6000 visitors. Average= (6000+0)/0=8 7 76 80 8 We believe what is taught with love lasts forever Page 7 of 0

Q: Find the unknown angle in the figure if BA / / EC / / KD. Perimeters of rectangles: xx(+)=6 and perimeter of square: x=8cm. Total perimeter is 6+8=7cm Q0: How many four-sided figures appear in the diagram below? 0 60 6 There are total four-sided figures. Q: The numbers arranged according to a certain rule. Find the number indicated by question mark. 0 0 We believe what is taught with love lasts forever Page 8 of 0

According to the certain rule x-70=60 then x=70+60=0 Q: Which one of the following is the smallest when x x 6? x x 6 x Q: A train leaves Lahore station and travels at 0 km/h. Two hours later, another train leaves from Lahore station on the track beside or parallel to the first train but it travels at 00 km/h. How far away from Lahore station will the faster train pass the other train? x 6 7 x 6 6 6 x 6 0 x 6 0 0 00 km 0 km 00 km 0 km Q6: Find the difference between the largest and the smallest four digit number formed with the digits:,, 0, 70 70 7 After hrs. when slow train left, they will cover the same distance: Slow train x0 km/h = 00 km Fast train x00 km/h = 00 km 0-0=7 Q: On a farm there are 0 rabbits, 0 geese and chickens. There are no other animals. The price of two chickens equals the price of a rabbit and the price of three chickens equals the price of a goose. If a rabbit costs Rs., what is the total value of all the animals on the farm? Rs. 0 Rs. 0 Rs. 60 Rs. 70 Q7: What is the value of the sum of the smallest and the greatest positive factors of 96? 9 09 97 96+=97 Rabbit cost: Rs.x0=Rs.0 Chicken cost: Rs.6x= Rs.0 Goose cost: Rs.8x0=Rs.80 Total value: 0+0+80=Rs.70 Q8: Safia is baking cookies for children. She has baked dozen cookies. If she wants each child to receive exactly cookies and have no cookies left over, how many more cookies should she bake? 6 We believe what is taught with love lasts forever Page 9 of 0

She has baked x=6 cookies x=8 cookies will be received. So 8-6= cookies has to be baked. Q9: Rashid needs bottles of water from the store. He can only carry at a time. What is the minimum number of trips Rashid needs to make to the store? 6 The perimeter=x(.+0.8)=x.=. cm trips make x= bottles. For th bottle he has to go one more time. It makes trips. Q0: Find the perimeter of the following. cm. cm 8.8 cm 8 cm We believe what is taught with love lasts forever Page 0 of 0