SilverZone 10th International Mathematics Olympiad iOM 2017 Sample Question Paper

Name of the Organisation : SilverZone/ Silver Zone
Name of the Exam : 10th International Olympiad of Mathematics- iOM 2017
Document Type : Sample Question Paper

Contents : hide

1 Silver Zone IOM Question Paper

2 About Test Paper

3 IOM Sample Question Papers

3.1 Class – V

3.2 Class VI

3.3 Class VII

Silver Zone IOM Question Paper

** The details of the manner in which the test is to be conducted will be sent with the question papers.

Related : SilverZone IOM International Mathematics Olympiad Sample Question Paper : www.pdfquestion.in/8419.html

** The questions will be of objective type in nature with multiple choice answers. There is no negative marking. For classes 3rd onward OMR answer sheets will be provided.

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About Test Paper

The language medium is English only. The examination is being conducted for all classes from 1st to 12th with the following details.
For Classes 1-2 : There will be 40 questions and the duration will be of 60 Minutes.
For Classes 3-12: There will be 50 questions and the duration will be of 60 Minutes.

IOM Sample Question Papers

** The Actual Question Paper Contains 50 Questions.
** The Duration of the Test Paper is 60 Minutes.

Class – V

1. For long distance telephone calls, a telephone company charges 30 paise per minute or 1 paisa for two seconds. What would be the cost of a call for 3 minutes and 20 seconds?
(A) ` 1.00
(B) ` 1. 20
(C) ` 1. 25
(D) ` 1. 30
(E) None of these

2. Using the digits 0, 1, 2, 3 make the least four digit number and represent the number with the help of a Roman Numeral. Digit should not be repeated.
(A) MXXIII
(B) MCXII
(C) CMXXIII
(D) MMMCCX
(E) None of these

3. Find the perimetre of the given figure.
(A) 12 m
(B) 18 m
(C) 9 m
(D) 17 m
(E) None of these

4. During a 3 – day festival, the number of visitors increases three times each day. If the festival ended on day 3 with 3105 visitors on that day, then how many visitors attended on day 1?
(A) 315
(B) 330
(C) 345
(D) 360
(E) 375

5. A number has 5 hundreds, 7 tens, 2 ones, 3 tenths, 6 hundredths and 5 thousandths. Write the number.
(A) 572365
(B) 57236.5
(C) 5723.65
(D) 572.365
(E) None of these

6. X is a decimal, when X is converted into fraction, it gives 25 4 . Find the value of X.
(A) 6.50
(B) 6.25
(C) 6.35
(D) 7.25
(E) None of these

7. A is twice of B, B is twice of C, C is twice of D and D is twice of E then
(A) B = 4E
(B) B = E
(C) B = 8E
(D) B = 6E
(E) None of these

8. M = 34, O = 23, N = 45, K = 21, E = 7, Y = 24 then what is the value of M + O – N × K ÷ E + Y?
(A) 7256
(B) – 45
(C) – 54
(D) – 345
(E) None of these

9. If XYZ = 789 and ABC = 123, then BAXY = ?
(A) 1239
(B) 9876
(C) 2178
(D) 3789
(E) None of these

10. How many chords and radii have been shown in the given circle?
(A) 6, 5
(B) 5, 7
(C) 5, 2
(D) 2, 5
(E) None of these

Class VI

1. What would be the longest length of a stick which can measure the length of the boundary in exact number of times in the figure below?
(A) 6 cm
(B) 7 cm
(C) 5 cm
(D) 8 cm
(E) None of these

2. The following pictograph shows how students scored in last week’s Hindi test. How many students scored more than 74 but less than 96 marks?
(A) 44 students
(B) 48 students
(C) 18 students
(D) 21 students
(E) None of these

3. Write the statement for the integer which is represented on the following number line.
(A) 4 more than – 1
(B) 3 more than 5
(C) 5 less than 3
(D) 2 less than – 3
(E) 5 less than 7

4. Which one of the following letters of English alphabet does not have any line of symmetry?
(A) N
(B) A
(C) B
(D) All of these
(E) None of these

5. Find the perimeter of the given figure.
(A) 40 cm
(B) 41 cm
(C) 32 cm
(D) 48 cm
(E) None of these

6. 13 + [– 4 + {5 + (3 × 7 – 6)} + 2] = ?
(A) 21
(B) 31
(C) 27
(D) 33
(E) None of these

7. Which one of the following is correct about the given triangle?
(A) All angles are right angles
(B) All angles are obtuse angles
(C) The sum of the angles of the triangle is more than 180°
(D) All angles are acute angles
(E) None of these

8. The speed of a bike is 56 km per hour and speed of a bus is 40 km per hour. Find the ratio of speed of bike to the speed of bus.
(A) 5 : 7
(B) 7 : 5
(C) 4 : 9
(D) 2 : 5
(E) None of these

9. The LCM of two numbers is 192 and their HCF is 16. If one number is 48, then the other number will be:
(A) 12
(B) 4
(C) 64
(D) 16
(E) None of these

10. Find the expression which is formed by ‘fifth multiple of n is added with 17’.
(A) 5th
(B) 5n + 17
(C) 5 + 17n
(D) All of these
(E) None of these

Class VII

1. If 47.2506 = 4A + 7 B + 2C + 5 D + 6E, then the value of 5A + 3B + 6C + D + 3E is
(A) 53.6003
(B) 53.603
(C) 153.6003
(D) 213.0003
(E) None of these

2. The present ages of Peter & Jony are in the ratio of 4 : 3, four years later, their ages will be in the ratio of 6 : 5. What is their presentages?
(A) 8 and 9 years
(B) 6 and 9 years
(C) 8 and 6 years
(D) 5 and 9 years
(E) None of these

3. If CE is parallel to DB in the given figure then value of x will be______.
(A) 45°
(B) 75°
(C) 30°
(D) 85°
(E) None of these

4. The compound interest on a sum for 2 years at 12% per annum is ` 510. What would the simple interest on the same sum at the same rate for the same period.
(A) ` 400
(B) ` 450
(C) ` 460
(D) ` 481.13
(E) None of these

5. Find the perimeter of the following figure which is a semicircle including its diameter. (Take p = 3.147 )
(A) 25 m
(B) 20 m
(C) 25.7 m
(D) 20.7 m
(E) None of these

6. Radii of two concentric circles are 4 cm and 3 cm respectively. Find the area enclosed between two circles.
(A) 98 cm2
(B) 199 cm2
(C) 22 cm2
(D) 99 cm2
(E) None of these

7. Sofia started walking straight towards South. She walked a distance of 15 m and then took a left turn and walked a distance of 30 m. Then she took a right turn and walked a distance of 15 m again. Sofia is facing in which direction?
(A) North – East
(B) South
(C) North
(D) South – West
(E) None of these

8. Find the number at the place of question mark.
(A) 72
(B) 70
(C) 68
(D) 66
(E) None of these

9. Find the value of x so that 22x+1 = 42x -1.
(A) 3 /2
(B) 1
(C) 2
(D) 1/2
(E) None of these

10. The graph given below represents the population (in lakhs) of some cities. Which city has minimum population?
(A) A
(B) B
(C) C
(D) D
(E) None of these

Author : Brightlin