Grade: 6 Mathematics Olympiad Qualifier Set: 2

Transcription

1 Grade: 6 Mathematics Olympiad Qualifier Set: Max Marks: 60 Test ID: 6660 Time Allotted: 40 Mins Instructions: Each question has four choices (A), (B), (C) and (D) out of which ONLY ONE is correct. Each question carries Marks. There is no negative marking 1. The H.C.F. of three numbers is 4. If they are in the ratio 35:55:77, then the numbers are, and. A. 80,440,615 B. 105,175,31 C. 900, 1400, 1900 D. 840, 130, The cost of 1 litre milk is AED 7.50 then the cost of 30.5 litre milk is A. AED 5.75 B. AED 3.75 C. AED 8.75 D. AED The volume of cube is V. The total length of its edges is A. 6V /3 B. 8 V C. 1V /3 D. 1V 1/3 4. In a square ABCD, the diagonals bisect at O. Then triangle AOB is A. an equilateral triangle B. an isosceles but not a right-angled triangle C. a right angled but not an isosceles triangle D. an isosceles right angled triangle 5. Two men undertook to do a job for AED One of them can do it alone in 7 days and the other in 8 days. With the assistance of a boy, they together completed the work in 3 days. How much money did the boy get? A. AED 50 B. AED 75 C. AED 300 D. AED 35 Page 1 of 6

2 6. 17, x, 3, 9, 31, 37, y gives an arrangement of prime numbers in increasing order. What is the sum of x and y? A. 50 B. 54 C. 60 D A Math quiz consists of 40 questions. 4 marks are given for every correct answer and marks are deducted for every incorrect answer. If Ahmed answered 35 questions correctly and Aftab answered 3 questions correctly, what is the difference in the total marks obtained by them? A. 140 B. 18 C. 16 D Crisy gave Paula AED 350. If 1 and of the amount was spent on food and books 7 5 respectively, how much money does Paula have left? A. AED 190 B. AED 180 C. AED 170 D. AED A, B, C earn AED 1980 in total. They earn it in the ratio of :1 and 3: respectively, then B earned A. AED 500 B. AED 50 C. AED 540 D. AED If a rectangle of side 5 cm and 15 cm is to be divided into three squares of equal area, then the side of the squares will be A. 4 cm B. 5 cm C. 6 cm D. 7 cm 11. Which of the following statements is true (if N, W and I are sets of Natural, Whole and integer numbers respectively? A. N W I B. I N W C. W N I D. I W N Page of 6

3 1. A man covers a journey by car in 3 hours. He covers a distance of 64 km 34 m during the first hour, 58 km 56m during the second hour and 6 km 8m during the third hour. What is the length of his journey? A. 184 km 388 m B. 184 km 380 m C. 184 km 308 m D. 184 km 3088 m 13. Paul walks twice around a square field of side 5m. Adel walks thrice around a rectangular field with length 0 m and breadth 14 m. Who covers more distance and by how much? A. Adel, 4 m B. Paul, 6 m C. Adel, 04 m D. Paul, 8 m 14. 5x [4y {7x (3z y) + 4z 3{(x + 3y z)}] =? A. 9x + 11y B. 9x + 7z C. 9x 11y D. 9x 11y + 7z 15. A, B, C, D, E, F and G are sitting in a row facing north. (i) F is to the immediate left of G. (ii) E is 4 th to the right of G. (iii) C is the neighbor of B and D (iv) Person who is third to the left of D is at one of the ends. Who are the neighbors of B? A. C and D B. C and G C. G and F D. C and E 16. An abundant number is less than the sum of its factors (other than itself). Which is the least abundant number? A. 8 B. 1 C. 15 D If a cart wheel makes six and half turns, then the number of straight angles through which it turns, are? A. 10 B. 11 C. 13 D. 16 Page 3 of 6

4 18. Safa is buying fabric for new curtains, there are three windows, each 35 inches wide. Safa needs to buy fabric equal to 3 1 times the total width of the windows. How much fabric should she buy? A. 735 inches B. 70 inches C inches D. None of these men can do a piece of work in 4 days. How many man will be required if the work is to be completed in 16 days? A. 1 B. 7 C. 8 D In a class of 36 students, 1 of the students scored A in mathematics exam, 1 of them 3 scored B and the rest scored C. Find the number of students who scored C in mathematics exam? A. 6 B. 1 C. 18 D In a certain school, the annual fee of a class VI student is AED There are six sections in Class VI. Four sections have 45 students each and sections have 3 students each. The total annual collection from students of class VI is A. AED 0,90,555 B. AED 0,95,650 C. AED 0,86,700 D. AED 1,83,800. Three bakers divided kg of wheat flour equally among themselves. One of them used all the flour equally to bake 5 vanilla cakes. How much wheat flour did each cake require? A kg B kg C kg D kg 3. For a musical concert, an adult ticket costs AED x and a child ticket costs AED y. Sayeeda bought 4 adult tickets and 6 child tickets. She pays three AED 500 notes and two AED 100 notes. The amount that she was refunded is A (4x + 6y) B x - 6y C (4x + 6y) D x - 6y Page 4 of 6

5 4. Yellow paint and blue paint are mixed to get green paint.the ratio of the volume of the yellow paint to the volume of the blue paint is 5:3. If the difference in volumes of the two paints is 500 ml, then what is the volume of the green paint? A. 1 L B. 1.5 L C. L D..5 L 5. Shafi, Muhammed, Omar and Abdul are friends. They play cards. Partner faces in opposite directions. Shafi and Muhammed become partners. Abdul faces north. If Shafi faces towards West, then who faces towards south? A. Muhammed B. Omar C. Abdul D. Data inadequate =? A B C D Ronald has AED 000. He has invested AED in school fees for auto fair, AED 54.5 in books and rest for food. What is the cost of food? A. AED B. AED C. AED 87.5 D. None of these 8. The ratio of Emily s age to the age of her mother is 3:11. The difference of their ages is 4 years. What will be the ratio of their ages after 3 years?? A. :3 B. 1:3 C. :5 D. 5:7 9. What is the value of x : x 8 1 = x 6 A. 8 B. 3 C. 34 D. 36 Page 5 of 6

6 30. What is the smallest 5- digit number divisible by 111? A B C D Page 6 of 6