IMO Maths Olympiad Online Mock Test Class 6 Set E

1. Match the Column-I with Column-II. If a, b, c, are whole numbers, then

2. Find the correct match.

 

3. Fill in the blank:
A ____ of a circle is a region in the interior of the circle enclosed by an arc and a chord.

4. Which of the following is true?
Statement I : A fraction is said to be in the simplest (or lowest) form if its numerator and denominator have no common factor except 1.
Statement II : Simplest form of 686/1715 is 3/5 .

5. Find P, Q, R and S respectively.
A square pyramid has P base,
Faces : Q
Edges : R
Corners : S

6. Meeku fenced up a square area. He used 100 poles on each side of the square. How many poles did he use altogether?

7. Three boys and four girls shared 198 sweets. Each girl received twice as many sweets as each boy. How many sweets did each girl receive?

8.

9. Dinesh joined 2 squares of area 81 cm² and 36 cm2 together. What is the perimeter of the new figure now?

10. Cost of a toffee is 50 paise and cost of a chocolate is Rs. 10, then the ratio of the cost of toffee to the cost of a chocolate is _______.

11. Beena bought 12 kg of sugar. After filling 11 containers of the same size, she had 3.2 kg left. How much sugar was there in each container?

12. Zarrin collected 1346 eggs. 38 of them were broken. She sold the rest at Rs. 8 each. What was the total collection from her sale of the eggs?

13. On Monday, there were thrice as many peanuts in Sack X as Sack Y. On Tuesday, 3952 peanuts in Sack X were sold. Now there were thrice as many peanuts in Sack Y as Sack X. How many peanuts were there in Sack X at first?

14. 45% of Garima's savings is the same as 25% of Latika's savings. What is the ratio of Garima's savings to Latika's savings?

15. The fractional number corresponding to the given Number "9 tens + 5 ones + 3 tenths + 7 hundredths" is ______.

16. Which of the following statements is correct?

17. Select the incorrect match.

18. Which of the following diagrams correctly describes the factors of 15 and 12?

19. Fill in the blanks:
Every natural number has a _____ except _____ and has a _____.

20. Machine P can shred 12 sheets of paper in 15 seconds. Machine Q can shred 18 sheets of paper in 20 seconds. Which machine can shred more sheets of paper in one minute and by how many more?

21. The ratio of the volume of water in Bottle P to the volume of water in Bottle Q is 3 : 4. Rajeev drank 40 mL of the water from Bottle P and the ratio then became 13 : 20. How much water was there in bottle P at first?

22. Priya drove from town P to town Q. She took 14 hours 35 minutes for the journey. The clock shows the time she arrived at Town Q in the afternoon. When did she set off from Town P?

23. 2/3 of the books in a box are English books, 1/4 are Maths books and the rest are Science books. What fraction of the books are Science books?

24.

25. Which of the following figures has/have at least one line of symmetry ?

26. The given figure is made up of 10 squares of the same size. The perimeter of the figure is 80 cm. Find the area of the figure.

27. Which of the following numbers is completely divisible by 3?

28. Express the number of storybooks that Mohit read in December as a fraction of the total number of storybooks read in four months.

29. Select the correct match.

30. If 3 × 6 = 18; 4 × 7 = 22; 9 × 1 = 20, then 5 × 2 = ?

31. Select the figure from the options that will replace the question mark(?) in problem figure and continue the pattern.

32. In the given question, a series of small letters which follows a pattern where some letters are missing is given. Find the missing letters so that a proper sequence of letters are formed.
ab __ __ __ b __ bbaa __

33. In the given series, how many pairs of alternate numbers have a difference of 2?
6 4 1 2 2 8 7 4 2 1 5 3 8 6 2 1 7 1 4 1 3 2 8 6

34. Minimum number of straight lines required to draw the given figure is ______.

35. Which of the following diagrams satisfies the condition of placement of dot as in the given Figure (X)?

36. Consider the figures X and Y showing a sheet of paper folded and punched in figure Z. Select the figure, which will most closely resemble the unfolded form of figure Z.

37. How many flowers will be there in Pattern 6?

38. Which of the following cubes cannot be formed using the net?

39. Find the missing number in the number pattern given below.

40. How many unit cubes were removed from the solid on the left to obtain the solid on the right?

41. Which of the following options will complete the pattern in Figure (X)?

42. Which of the following Venn diagrams correctly depicts the relationship among "Yak, Zebra, Bear"?

43. Select the correct mirror image of the Figure (X).

44. Ritesh is son of Varun. Sarika, Varun's sister has a son Rahul and a daughter Riya. Sahil is the maternal uncle of Rahul. How is Ritesh related to Rahul?

45. Identify the figure from the options in which shape (X) is exactly embedded as one of its part.

46. If 687 + 509 = 560897, then 619 + 703 = ?

47. If the first three letters of the word 'anthropologist S' are written in reverse order, followed by the next four letters written in reverse order, followed by next eight
letters written in reverse order, which letter will come exactly in the middle?

48. Identify the two figures which are out of position/ place and requires interchanging of position to put the entire series in order.

49. Two positions of a dice marked (A, B, C, D, E, F) are shown below. Which letter will be on the face opposite to the face with A?