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sofworld.org IMO International Mathematics Olympiad Sample Question Paper 2017 – 18 : Science Foundation

Name of the school Organization : Science Olympiad Foundation
Name Of The Exam : IMO International Mathematics Olympiad
Document type : Sample Question Paper
Catogery : Classes One To Twelve
Year : 2017 – 2018
Website : https://sofworld.org/
Download Sample/Model Question Papers :
Class 1 : https://www.pdfquestion.in/uploads/22996-imoClass-1.pdf
Class 2 : https://www.pdfquestion.in/uploads/22996-imoclass-2.pdf
Class 3 : https://www.pdfquestion.in/uploads/22996-imoclass-3.pdf
Class 4 : https://www.pdfquestion.in/uploads/22996-imoclass-4.pdf
Class 5 : https://www.pdfquestion.in/uploads/22996-imoclass-5.pdf
Class 6 : https://www.pdfquestion.in/uploads/22996-imoclass-6.pdf
Class 7 : https://www.pdfquestion.in/uploads/22996-imoclass-7.pdf
Class 8 : https://www.pdfquestion.in/uploads/22996-imoclass-8.pdf
Class 9 : https://www.pdfquestion.in/uploads/22996-imoclass-9.pdf
Class 10 : https://www.pdfquestion.in/uploads/22996-imoclass-10.pdf
Class 11 : https://www.pdfquestion.in/uploads/22996-imoclass-11.pdf
Class 12 : https://www.pdfquestion.in/uploads/22996-imoclass-12.pdf

Science Olympiad Mathematics Question Paper

** The IMO is conducted on two dates for Level 1. Each school may select a date for conducting the IMO as per its convenience. Each date of exam has a separate question paper. Change of date for conducting the IMO is not permitted.

Related / Similar Question Paper :
Science Foundation IMO Sample Question Paper 2016-2017

Ramanujan Mathematics Talent Test Old Question Paper

Instructions

The International Mathematics Olympiad is conducted at two levels :
Level 1: The first level of the test is organized in the respective schools of the participants during school hours.
(i) The level 1 competition is an objective-type test of 60 minutes duration comprising 35 objective-type (Multiple Choice) questions for class 1 to class 4 and 50 objective-type (Multiple Choice) questions for class 5 to class 12.

(ii) The question paper consists of four sections :
Section-1: Logical Reasoning
Section-2: Mathematical Reasoning
Section-3: Everyday Mathematics
Section-4:Achievers Section

(iii) There are separate question papers for each class.
(iv) The medium of the test is English.
(v) CBSE, ICSE/ISC and State Board syllabi are followed for setting the test papers.
(vi) The exam is conducted during school hours.

Level 2: The level 2 is conducted for students of class 3 to class 12. The qualifiers to second round would include the following:
** Top 5% of candidates class wise who appear for the 1st level exam. In case of a tie of marks, due weightage to marks scored in different sections will be given. Each section is accorded separate weightage.
** Top 25 rank holders class wise & Zone wise.
** Class topper where at least 10 students from a class appear in the exam & scores 50% qualifying marks. In case registration is received section wise, top rank holder, irrespective of section will qualify for the 2nd level. For section wise registrations, winner(s) of gold medal may not necessarily qualify for the second level.

IMO Sample Papers

** The sample paper is designed by experts to make students familiar with the syllabus covered and pattern (followed/marking scheme ) which can help them to make a smart plan and strategy for preparation of exam.
** Downloadable sample papers are easy to download. Please click the download button below to view or download the Sample paper.

Class 5

Logical Reasoning :
1. Shelley is ordering a skirt from a catalog. She can choose one of two lengths: a short skirt or a long skirt. Then she can choose one of three fabric patterns: stripes, plaid or flowers. At most how many different combinations could Shelley order choosing a length and a fabric pattern?
(A) 2
(B) 3
(C) 5
(D) 6

2. The number of cubes in the given figure is _____.
(A) 11
(B) 12
(C) 13
(D) 14

3. Find the odd numeral out.
(A) 7
(B) 9
(C) 4
(D) 6

4. Which of the following is ninth to the right of the seventeenth from the right end of the given arrangement?
M 4 E T % J 9 I B @ U 8©N#F1V7? 2 A H 3 Y 5 $ 6 K
(A) A
(B) %
(C) I
(D) Y

Mathematical Reasoning :
6. The line graph shows the number of people who visited a museum from March to July. How many more visitors were there in April than in June?
(A) 200
(B) 350
(C) 150
(D) 100

7. How many angles inside the figure are greater than a right angle?
(A) 5
(B) 6
(C) 7
(D) 8

8. What fraction of the figures are ?
(A) 1/4
(B) 1/3
(C) 1/5
(D) 1/2

9. Katrina went to watch a movie. The time at which the movie started and ended are shown on the two clocks given. How long did the movie last ?
(A) 1 hr 45 mins
(B) 2 hrs 45 mins
(C) 2 hrs 15 mins
(D) 3 hrs

10. If ‘White’ is called ‘Blue’, ‘Blue’ is called ‘Red’, ‘Red’ is called ‘Yellow’, ‘Yellow’ is called ‘Green’, ‘Green’ is called ‘Black’, ‘Black’ is called ‘Violet’ and ‘Violet’ is called ‘Orange’, then what would be the colour of human blood?
(A) Red
(B) Yellow
(C) Green
(D) Violet

Everyday Mathematics :
11. Harry had 500 coins in a jar. He sorted the coins into 25 different stacks. Each stack had the same umber of coins. How many coins were in each stack?
(A) 20
(B) 45
(C) 25
(D) 12

12. There are 914 students enrolled in Elementary School. Middle School has 276 fewer students than elementary school. How many students are enrolled at Middle School?
(A) 642
(B) 762
(C) 1,190
(D) 638

13. Tom left home at 7 : 15 a.m. to go to work. He returned home at 4 : 45 p.m. For how long Tom was away from home?
(A) 7 hours 30 minutes
(B) 9 hours 30 minutes
(C) 3 hours 30 minutes
(D) 8 hours 30 minutes

Class 6

Logical Reasoning :
1. Rearrange the following letters to make a single word and then choose the category to which it belongs.
F G O R
(A) City
(B) Animal
(C) Vegetable
(D) Person

2. Joy wants to save ` 50 to buy a pair of roller blades. He plans to save ` 2 in the first month, ` 4 in the second month, ` 6 in the third month, and ` 8 in the fourth month. If Joy continues this savings pattern, how many months will Joy take to save ` 50 ?
(A) 5 months
(B) 7 months
(C) 9 months
(D) 13 months

Mathematical Reasoning :
5. In Parul’s garden, there are 25 rows of vegetables. She has five more rows of peppers than tomatoes and two fewer rows of cucumbers than tomatoes. If y represents the number of rows of tomatoes in the garden, which number sentence can be used to find how many rows of each vegetable were planted?
(A) y + (y + 5) + (y + 2) + y = 25
(B) (y + 5) + y = 25
(C) (y + 5) + (y – 2) = 25
(D) (y + 5) + (y – 2) + y = 25

6. Which of the following figures have at least two lines of symmetry?
P Q R S
(A) Only P
(B) Both P and Q
(C) Both Q and R
(D) P, Q, R and S

7. Subtract 29.375 from the sum of 85.75 and 5.9.
(A) 62.275
(B) 63.275
(C) 64.275
(D) 65.275

8. The five-day forecast for the South Pole lists the low temperatures (in Fahrenheit) as –24°, –28°, –29°, –25°, and –30°. Which choice shows the temperatures in order from the lowest to the highest?
(A) –24°, –25°, –28°, –29°, –30°
(B) –30°, –28°, –29°, –25°, –24°
(C) –30°, –29°, –28°, –25°, –24°
(D) –30°, –29°, –28°, –24°, –25°

9. What is the value of the given expression? 3 + 3 × 3(4 + 3)
(A) 38
(B) 42
(C) 45
(D) 66

10. Mohit is selling candy bars. He has chocolate bars, nut bars, and mint bars. If a customer buys two bars, and the bars are not of the same type, how many different combinations are possible?
(A) 3
(B) 6
(C) 9
(D) 12

Everyday Mathematics :
11. Vinita can type 28 words per minute. At this rate, how many words can Vinita type in 5.5 minutes?
(A) 154
(B) 157
(C) 159
(D) 162

12. At a school, there are 704 desks to place into 22 classrooms. If the same number of desks is placed in each classroom, how many desks will be there in each room?
(A) 32
(B) 34
(C) 42
(D) 44

13. A vessel has 5 litres 120 millilitres of mango shake. How many glasses each of 40 ml capacity, can be filled with it?
(A) 122
(B) 130
(C) 118
(D) 128

Class 7

Logical Reasoning :
1. Which will come next in the series? az, by, cx, ?
(A) ef
(B) gh
(C) ij
(D) dw

2. Which number will replace the (?) in Fig. (X)?
(A) 1
(B) 2
(C) 3
(D) 4

3. Which of the following options most closely resembles the mirror image of the given word, if the mirror is placed vertically to the left?
STROKE
(A) ST RO KE
(B) EKORTS
(C) ROKETS
(D) STROKE

4. Count the number of triangles in the given figure.
(A) 8
(B) 10
(C) 12
(D) 14

Mathematical Reasoning :
6. This rectangular prism has a length of 14 cm, a height of 8 cm, and a width of 3 cm. What is the volume?
(A) 25 cu cm
(B) 42 cu cm
(C) 112 cu cm
(D) 336 cu cm

7. Which expression represents the product of n and 25?
(A) 25n
(B) 25 – n
(C) 25 + n
(D) 25 ÷ n

8. What is the prime factorization of 45?
(A) 23 × 5
(B) 32 × 5
(C) 52 × 3
(D) 52 × 9

9. The value of 11.3 × 2.7 = ___________.
(A) 29.31
(B) 29.51
(C) 30.31
(D) 30.51

10. Mohit gains 60 paise on ` 60. His gain percent is ________.
(A) 1%
(B) 0.1%
(C) 2%
(D) 1.1%

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