Imo Level 2 Sample Paper Class 7 7e3b
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International Mathematics Olympiad (Level – 2)
IMO – Level 2 Class – 7
Sample paper by OlympiadHelper.com
Exam Pattern Pattern: Paper Based exam with multiple choice questions Total Marks: 60 Section 1: 45 Questions from Mathematics, 1 Mark Each Section 2: 5 Questions as Achievers Section, 3 Marks each
Total Questions: 50 Duration: 60 minutes
Syllabus Integers, Fractions and Decimals, Exponents and Powers, Algebraic Expressions, Simple Linear Equations, Lines and Angles, Comparing Quantities, The Triangle and its Properties, Symmetry, Congruence of Triangles, Rational Numbers, Perimeter and Area, Data Handling, Visualising Solid Shapes, Practical Geometry.
Important Information This sample paper contains 20 questions which are specially designed for Level – 2 IMO Exam. To get more papers, visit http://OlympiadHelper.com
Section 1 - Mathematics (1 Mark / Question) 1. If 6 men take 4 days to complete a job, how many days will 12 men take? A. 2 days C. 8 days
B. 3 days D. 9 days
2. An empty bottle is filled with water to the level shown in the figure below. If the amount of water filled is 125 ml, how much more water will be needed to fill the bottle to the brim?
A.
exactly 125 ml
B.
less than 125 ml
C.
more than 125 ml
D.
cannot say from the given data
3. What should be added to 995 to get the smallest 4-digit number divisible by 11? A. 2 C. 6
B. 5 D. 11
1|Page For more Online Papers visit – http://OlympiadHelper.com
International Mathematics Olympiad (Level – 2)
IMO – Level 2 Class – 7
Sample paper by OlympiadHelper.com
4. Smitha read 165 pages of a book having 275 pages in 7 hours and 30 minutes. How much more time she required to complete the book? A. 3 hours C. 5 hours
B. 4 hours D. 8 hours
5. An insect crawls up 5 cm every second on a 60 cm vertical rod and then falls down 2 cm over the next second. How many seconds will it take to climb the rod? A. C.
20 seconds 60 seconds
B. D.
39 seconds 30 seconds
6. If 5 men can build a wall in 12 days. How many men can build it in 10 days? A.
6 men
B.
7 men
C.
8 men
D.
4 men
7. Six balls commence tolling together and toll at intervals of 2, 4, 6, 8, 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together? A. 4 C. 15
B. 10 D. 16
8. A Sound travels in sea water at the rate of 1.5 km per second. Scientists can figure out the depth of the ocean floor by using a method called sonar. Sonar measures the time it takes for sound waves to travel from a ship to the ocean floor and back to the ship. Suppose a ship has a sonar sounding of 6 seconds. What would be the approximate depth of the ocean floor below the ship? A. 6 km C. 9 km
B. 0.5 km D. 4.5 km
2|Page For more Online Papers visit – http://OlympiadHelper.com
International Mathematics Olympiad (Level – 2)
IMO – Level 2 Class – 7
Sample paper by OlympiadHelper.com
9.
Find the area of parallelogram PQRS, if PR = 24 cm and QU = ST = 6 cm. A. 72 cm2 C.
B.
150 cm2
100 cm2
D. 144 cm2
10. The side of a square plot is 80 m. A path of 4m width along the sides of the square are constructed in the middle of the plot. Determine the area of the path. A. 1216 m2 C. 1360 m2
B. 1200 m2 D. 624 m2
11. T A cow is tied to a pole in the middle of a park with a string 35m long. Find the area over which the cow can graze. A. 3650 m2 C. 2550 m2
B. 3850 m2 D. 3450 m2
12. What is the value of x? A. B. C. D.
55 50 25 20
13. If A number is called abundant if the sum of its factors, not including the number itself, is greater than the number. For example, the sum of the factors of the number 12 (not including the number 12 itself) is 1 + 2 + 3 + 4 + 6 = 16. This sum is greater than 12 so the number 12 is an abundant number. How many abundant numbers are there between 15 and 25? A. C.
11 3
B. 4 D. 0 3|Page For more Online Papers visit – http://OlympiadHelper.com
International Mathematics Olympiad (Level – 2)
IMO – Level 2 Class – 7
Sample paper by OlympiadHelper.com
14. Simplify:
A. – 20 C. 12
B. – 15 D. 16
15. The distance above the ground is represented by positive integers and the distance below the ground by negative integers. An elevator begins to descend from 15 m above the ground at a rate of 5 m per minute. What will be its position after 45 minutes? A. 210 m C. 225 m
B. -210 m D. -225 m
16. Study the statements carefully. (1) Every integer is a rational number and every fraction is a rational number. p q p rational number q
(2) A rational number is positive, if p and q are either both positive or both negative. (3) A
is negative, if one of p and q is positive and other is negative.
(4) If there are two rational numbers with common denominator, then the one with the larger numerator is larger than the other. Which of the following options hold? A. Both (1) and (4) are incorrect C. Only (1) is incorrect
B. Both (2) and (3) are incorrect D. All are correct
Section 2 – Achievers Section (3 Marks / Question) 17. Two cars start off at the same point on a straight highway facing opposite directions. Each car drives 6 miles take a left turn and drives 8 miles. How far apart are the two cars? A. 20 miles C. 14 miles
B. 11 miles D. 16 miles
18. A bag contains an equal number of one rupees, 50 paise and 25 paise coins respectively. If the total value is Rs. 35, how many coins of each type are there? A. 20 C. 25
B. 15 D. 28
4|Page For more Online Papers visit – http://OlympiadHelper.com
International Mathematics Olympiad (Level – 2)
IMO – Level 2 Class – 7
Sample paper by OlympiadHelper.com
19. A square is cut along the dotted lines. (Figure 1) The pieces are rearranged to form the shape of a swan. (Figure 2) Which statement is true?
A.
The perimeters and areas of both the square and swan are the same.
B.
C.
The perimeters of the square and swan are the same but their areas are different.
D.
The perimeters of the square and swan are different but their areas are the same. The perimeters and areas of both the square and swan are different.
20. Study the given statements. Statement-I : e and h are supplementary angles. Statement-II : c and g are equal angles.
A. Both statement-I and statement-II are true. C. Statement-I is false and statement-II is true.
B.
Statement-I is true and statement-II is false.
D. Both statement-I and statement-II are false.
5|Page For more Online Papers visit – http://OlympiadHelper.com
IMO – Level 2
International Mathematics Olympiad (Level – 2)
Class – 7
Sample paper by OlympiadHelper.com
ANSWERS KEY: 1–A 11 - B
2-B 12 - C
3-C 13 - C
4-C 14 - B
5-B 15 - B
6-A 16 - D
7-D 17 - A
8-D 18 -A
9-D 19 - B
10 - A 20 - C
About OlympiadHelper.com Olympiad Helper is a leading Olympiad preparation organization that provides an objective, comprehensive practice platform to the students preparing for Olympiad examinations.
How OlympiadHelper.com can help students
scoring better in Olympiad examination? Our assessments bring to light the strengths and weaknesses of a student in the five core subject areas of English, Science, Mathematics, Computer Skills and General Knowledge. Our “Online Test Series” is designed to handle most of the school level competitive / Olympiad / diagnostic exams; such as NCO, NSO, IMO, IEO conducted by Science Olympiad Foundation (SOF), iiO, iOS, iOM, iOEL, SKGKO, iTHO conducted by Silver Zone, IAIS-Mathematics, IAIS-Science, IAIS-English and IAIS Digital Technology (formerly IAIS-Computer) conducted by Macmillan Education and ASSET Math, English, Science conducted by Educational Initiatives.
Most of the Olympiad exams are conducted on the similar syllabus that kids are studying in the school. It means that they do not require additional reference books for the preparation of these exams. However, at the same time questions asked in these exams are quite different than what kids learn in the school. Questions are trickier and conceptual.
Level – 2
Practice Papers Available
We are The Most Trusted Olympiad Diagnostic and Preparation Tool Subscribe Now
To excel in “Olympiad Exams”, it is essential for the students to understand the exam pattern, evaluate and prepare themselves on the Olympiad standard questions. Visit www.OlympiadHelper.com for more information. 6|Page For more Online Papers visit – http://OlympiadHelper.com
IMO – Level 2 Class – 7
Sample paper by OlympiadHelper.com
Exam Pattern Pattern: Paper Based exam with multiple choice questions Total Marks: 60 Section 1: 45 Questions from Mathematics, 1 Mark Each Section 2: 5 Questions as Achievers Section, 3 Marks each
Total Questions: 50 Duration: 60 minutes
Syllabus Integers, Fractions and Decimals, Exponents and Powers, Algebraic Expressions, Simple Linear Equations, Lines and Angles, Comparing Quantities, The Triangle and its Properties, Symmetry, Congruence of Triangles, Rational Numbers, Perimeter and Area, Data Handling, Visualising Solid Shapes, Practical Geometry.
Important Information This sample paper contains 20 questions which are specially designed for Level – 2 IMO Exam. To get more papers, visit http://OlympiadHelper.com
Section 1 - Mathematics (1 Mark / Question) 1. If 6 men take 4 days to complete a job, how many days will 12 men take? A. 2 days C. 8 days
B. 3 days D. 9 days
2. An empty bottle is filled with water to the level shown in the figure below. If the amount of water filled is 125 ml, how much more water will be needed to fill the bottle to the brim?
A.
exactly 125 ml
B.
less than 125 ml
C.
more than 125 ml
D.
cannot say from the given data
3. What should be added to 995 to get the smallest 4-digit number divisible by 11? A. 2 C. 6
B. 5 D. 11
1|Page For more Online Papers visit – http://OlympiadHelper.com
International Mathematics Olympiad (Level – 2)
IMO – Level 2 Class – 7
Sample paper by OlympiadHelper.com
4. Smitha read 165 pages of a book having 275 pages in 7 hours and 30 minutes. How much more time she required to complete the book? A. 3 hours C. 5 hours
B. 4 hours D. 8 hours
5. An insect crawls up 5 cm every second on a 60 cm vertical rod and then falls down 2 cm over the next second. How many seconds will it take to climb the rod? A. C.
20 seconds 60 seconds
B. D.
39 seconds 30 seconds
6. If 5 men can build a wall in 12 days. How many men can build it in 10 days? A.
6 men
B.
7 men
C.
8 men
D.
4 men
7. Six balls commence tolling together and toll at intervals of 2, 4, 6, 8, 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together? A. 4 C. 15
B. 10 D. 16
8. A Sound travels in sea water at the rate of 1.5 km per second. Scientists can figure out the depth of the ocean floor by using a method called sonar. Sonar measures the time it takes for sound waves to travel from a ship to the ocean floor and back to the ship. Suppose a ship has a sonar sounding of 6 seconds. What would be the approximate depth of the ocean floor below the ship? A. 6 km C. 9 km
B. 0.5 km D. 4.5 km
2|Page For more Online Papers visit – http://OlympiadHelper.com
International Mathematics Olympiad (Level – 2)
IMO – Level 2 Class – 7
Sample paper by OlympiadHelper.com
9.
Find the area of parallelogram PQRS, if PR = 24 cm and QU = ST = 6 cm. A. 72 cm2 C.
B.
150 cm2
100 cm2
D. 144 cm2
10. The side of a square plot is 80 m. A path of 4m width along the sides of the square are constructed in the middle of the plot. Determine the area of the path. A. 1216 m2 C. 1360 m2
B. 1200 m2 D. 624 m2
11. T A cow is tied to a pole in the middle of a park with a string 35m long. Find the area over which the cow can graze. A. 3650 m2 C. 2550 m2
B. 3850 m2 D. 3450 m2
12. What is the value of x? A. B. C. D.
55 50 25 20
13. If A number is called abundant if the sum of its factors, not including the number itself, is greater than the number. For example, the sum of the factors of the number 12 (not including the number 12 itself) is 1 + 2 + 3 + 4 + 6 = 16. This sum is greater than 12 so the number 12 is an abundant number. How many abundant numbers are there between 15 and 25? A. C.
11 3
B. 4 D. 0 3|Page For more Online Papers visit – http://OlympiadHelper.com
International Mathematics Olympiad (Level – 2)
IMO – Level 2 Class – 7
Sample paper by OlympiadHelper.com
14. Simplify:
A. – 20 C. 12
B. – 15 D. 16
15. The distance above the ground is represented by positive integers and the distance below the ground by negative integers. An elevator begins to descend from 15 m above the ground at a rate of 5 m per minute. What will be its position after 45 minutes? A. 210 m C. 225 m
B. -210 m D. -225 m
16. Study the statements carefully. (1) Every integer is a rational number and every fraction is a rational number. p q p rational number q
(2) A rational number is positive, if p and q are either both positive or both negative. (3) A
is negative, if one of p and q is positive and other is negative.
(4) If there are two rational numbers with common denominator, then the one with the larger numerator is larger than the other. Which of the following options hold? A. Both (1) and (4) are incorrect C. Only (1) is incorrect
B. Both (2) and (3) are incorrect D. All are correct
Section 2 – Achievers Section (3 Marks / Question) 17. Two cars start off at the same point on a straight highway facing opposite directions. Each car drives 6 miles take a left turn and drives 8 miles. How far apart are the two cars? A. 20 miles C. 14 miles
B. 11 miles D. 16 miles
18. A bag contains an equal number of one rupees, 50 paise and 25 paise coins respectively. If the total value is Rs. 35, how many coins of each type are there? A. 20 C. 25
B. 15 D. 28
4|Page For more Online Papers visit – http://OlympiadHelper.com
International Mathematics Olympiad (Level – 2)
IMO – Level 2 Class – 7
Sample paper by OlympiadHelper.com
19. A square is cut along the dotted lines. (Figure 1) The pieces are rearranged to form the shape of a swan. (Figure 2) Which statement is true?
A.
The perimeters and areas of both the square and swan are the same.
B.
C.
The perimeters of the square and swan are the same but their areas are different.
D.
The perimeters of the square and swan are different but their areas are the same. The perimeters and areas of both the square and swan are different.
20. Study the given statements. Statement-I : e and h are supplementary angles. Statement-II : c and g are equal angles.
A. Both statement-I and statement-II are true. C. Statement-I is false and statement-II is true.
B.
Statement-I is true and statement-II is false.
D. Both statement-I and statement-II are false.
5|Page For more Online Papers visit – http://OlympiadHelper.com
IMO – Level 2
International Mathematics Olympiad (Level – 2)
Class – 7
Sample paper by OlympiadHelper.com
ANSWERS KEY: 1–A 11 - B
2-B 12 - C
3-C 13 - C
4-C 14 - B
5-B 15 - B
6-A 16 - D
7-D 17 - A
8-D 18 -A
9-D 19 - B
10 - A 20 - C
About OlympiadHelper.com Olympiad Helper is a leading Olympiad preparation organization that provides an objective, comprehensive practice platform to the students preparing for Olympiad examinations.
How OlympiadHelper.com can help students
scoring better in Olympiad examination? Our assessments bring to light the strengths and weaknesses of a student in the five core subject areas of English, Science, Mathematics, Computer Skills and General Knowledge. Our “Online Test Series” is designed to handle most of the school level competitive / Olympiad / diagnostic exams; such as NCO, NSO, IMO, IEO conducted by Science Olympiad Foundation (SOF), iiO, iOS, iOM, iOEL, SKGKO, iTHO conducted by Silver Zone, IAIS-Mathematics, IAIS-Science, IAIS-English and IAIS Digital Technology (formerly IAIS-Computer) conducted by Macmillan Education and ASSET Math, English, Science conducted by Educational Initiatives.
Most of the Olympiad exams are conducted on the similar syllabus that kids are studying in the school. It means that they do not require additional reference books for the preparation of these exams. However, at the same time questions asked in these exams are quite different than what kids learn in the school. Questions are trickier and conceptual.
Level – 2
Practice Papers Available
We are The Most Trusted Olympiad Diagnostic and Preparation Tool Subscribe Now
To excel in “Olympiad Exams”, it is essential for the students to understand the exam pattern, evaluate and prepare themselves on the Olympiad standard questions. Visit www.OlympiadHelper.com for more information. 6|Page For more Online Papers visit – http://OlympiadHelper.com
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