IMO Maths Olympiad Online Mock Test Class 5 Set C

1. Rohit's height is 2 m 58 cm. He is 8 cm taller than Amit. What is the total of Rohit's and Amit's height?

2. Arjun and Meena had a total of 64 stamps at first. After each of them gave 1/2 of their stamps to Jyoti, Arjun had 8 stamps more than Meena. How many stamps did Arjun have at first?

3. A movie ticket costs Rs. 200. For every 9 tickets bought, one ticket was given free. If a group of friends paid Rs. 1800 for the tickets, how many friends were there in the group?

4. Sakshi is thrice as old as Krish when Parul is 33 years old and Krish is 13 years old. How old is Sakshi when Parul is 40 years old?

5. Mohit bought a packet of flour. He use 3/5 of it to bake a cake. If he had 500 g of flour left, what was the weight of the packet of flour that he had bought?

6. Megha paid Rs. 1900 for 4 dolls and 2 teddy bears. A doll costs twice as much as a teddy bear. Find the cost of a doll.

7. Latika earned Rs. x in a month. She gave Rs.15000 to her father, spent Rs. 1000 and saved the rest. She saves Rs. 4000. What is the value of x?

8. Tarun bought an equal number of apples and oranges at the cost as shown. If he paid a total of Rs. 560, how many apples did he buy?

9. Alisha had 114 more beads than Beena. After Alisha gave 96 beads to Beena, Beena had twice as many beads as Alisha. How many beads did Beena have at first?

10. 520 g of tiny pink pebbles are mixed with 580 g of tiny purple pebbles. Misha packed the mixture of tiny pebbles into 5 packets equally. How many kilograms of the mixture are there in each packet?

11. There are five angles below. How many of them are greater than 90°?

12. The timeline below is marked at equal time intervals. What is the time represented by Y?

13. ABCD is a square and M, N, P and Q are the mid-points of each side of the square ABCD. The area of MNPQ is 32 cm2. Find the length of the side of ABCD if area of ABCD is twice the area of MNPQ.

14. Find the value of X in the given expression.
67.245 – ___X__ = 31.193.

15.

16. The length of a rectangle is twice its breadth. If the length of the rectangle is 8 cm, find its area.

17. The product of two numbers is 72. If the greater number is 9, find the difference between 100 and the smaller number.

18. Select the correct match of mixed fractions in Column I with improper fractions in Column II.

19. A number is made up of 3 digits. The digit in the hundred's place is twice the digit in the one's place. The digit in the ten's place is 1 less than the digit in the one's place. If the digit in the ten's place is 2, what is the number?

20. Find the values P, Q, R and S respectively.

21. Which of the following statements is true?
(i) T he smallest number that can be divided by the given numbers without leaving any remainder is called the lowest common multiple.
(ii) T he greatest number which divides two or more numbers exactly without leaving any remainder is called the highest common factor.

22. Find the value of P + Q ÷ R × S.

23. A _____ number can be shown as the product of ______ factors.

24. The value of MMDCCCLXXII – MMDCCLXXIII = _?_

25. Sahil chose a secret number. When he rounds off the number to the nearest thousand, he gets 15000. When he rounds off the number to the nearest hundred, he gets 14900. When he rounds off to the nearest ten, he gets 14880. What is the possible number he might have chosen?

26. A way is given to express 660 as a product of prime numbers. Find the value of P, Q and R respectively.

27. What is the least number of squares that must be added so that the line MN becomes a line of symmetry?

28. A rectangular piece of paper was folded to form the shape shown. What was the perimeter of the piece of paper before it was folded?  

29. The rectangle is made up of 12 identical squares. Which of the following 2 parts amongst 4 parts P, Q, R and S will add up to form 7/12 of the rectangle?

30. Select the correct match of the fraction of shaded part of figures.

31. Find the word from the options which can have all the given letters as prefixes.

32. Which figure among the following figures is the odd one out ?

33. Find out which of the following options contains all the components needed to form the key figure.

34. Select a figure from the options which will continue the series established by Problem Figures.

35. In a certain code if "pen" is called "pencil", "pencil" is called "eraser" and "eraser" is called "book", then what will be used to erase something done wrong?

36. How many triangles can be drawn using any three dots?

37. How many more squares needs to be removed so that 3/9 of the total squares are removed?

38. How many right angles are there in the figure ?

39. Mona is facing North-West after turning through an angle of 180° in the anti-clockwise direction. She was facing ______.

40. The calendar given below shows Aditya's schedule for cricket practice and cricket match.   If Aditya attended every practice in December 20XX, what is the total number of minutes he spent on practice during December 20XX ?

41. On the map, each side of each grid square represents 1 kilometre. How much farther does Priya live from the library than Ritika lives from the market ? (Considering the shortest distance)

42. Find the missing number.

43. How many different possible combinations of one colour pencil and one rubber cap from 5 different colour pencils and 6 different rubber caps can be formed ?  

44. How many triangles are there in the given figure?

45. If P, R and Q, S exchanges their positions and then P and Q moves diagonally and meet at the middle of rectangle, then the direction of R with respect to Q is _____.

46. Which of the following figures will complete the Fig. (X)?

47. Find the mirror image of given figure (X).

48. Choose the odd one out.

49. A car travelled 384 kms in 6 hours. How far did it travel in 4 hours ?

50. How many of the following letters have a line of symmetry?