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Sample Paper | Class-5 | 1
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 one 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?
M4ET%J9IB@U8©N#F1V72AH3Y5$6K
(A)	 A	 (B)	 %	 (C)	 I	 (D)	 Y
MATHEMATICAL REASONING
5.	 Which figure has an area of 8 sq. units and a perimeter of 12 units? (Each square block is of side
1 unit).
(A)	 	 (B)	 	 (C)	 	 (D)	
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				
Months
(B)	 350
(C)	 150	
(D)	 100
SYLLABUS
Section – 1 : Patterns,Analogy and Classification, Geometrical Shapes, Mirror and Water Images, Direction Sense Test, Ranking Test,Alphabet Test, Logical
Sequence of Words, Puzzle Test, Coding-Decoding.
Section – 2 : Numerals, Number names and Number Sense (7 and 8 digit numbers), Computation Operations, Fractions and Decimals, Measurement
of Length, Weight, Capacity, Time, Temperature and Money, Conversions, Geometrical Shapes and Solids, Angles, Perimeter of Various Shapes  Area of
Rectangle and Square, Symmetry, Data Handling
Section – 3 : The syllabus of this section will be based on the Syllabus of Mathematical Reasoning.
Section – 4 : Higher Order Thinking Questions - Syllabus as per Section-2.
PATTERN  MARKING SCHEME
Section
(1) Logical
Reasoning
(2) Mathematical
Reasoning
(3) Everyday
Mathematics
(4) Achievers
Section
No. of Questions 15 20 10 5
Marks per Ques. 1 1 1 3
Total Questions : 50 Time : 1 hr.
SOF INTERNATIONAL
MATHEMATICS OLYMPIAD
CLASS
5
SAMPLE PAPER SYLLABUS 2021-22
| Sample Paper | Class-5
2
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
given two clocks. 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.	 Select the correct match of Roman numerals with their Hindu-Arabic numerals.
(A)	 CCXVIII - 318			 (B)	 DCCLXIX - 769
(C)	 MMMCCXCIX - 3399		 (D)	 DCCXLVII - 5748
EVERYDAY MATHEMATICS
11.	 Harry had 500 coins in a jar. He sorted the coins into 25 different stacks. Each stack had the equal
number 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 in Middle School?
(A)	 642	 (B)	 762	 (C)	 1190	 (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	
ACHIEVERS SECTION
14.	 Part of a scale is shown below. What is the value of the reading at X?
(A)	 10.02 cm	 (B)	 10.04 cm	 (C)	 10.2 cm	 (D)	 10.4 cm
15.	 Vivek rented a bicycle for 3 hours. How much did he pay?
(A)	 ` 13	 (B)	 ` 19	 First hour : ` 7
Every additional 1
2
hour : ` 3
(C)	 ` 22			 (D)	 ` 30
	 1.	(D)	 2.	(B)	 3.	 (A)	 4.	 (A)	 5.	(B)	 6.	(D)	 7.	(C)	 8.	(A)	 9.	(B)	 10.	 (B)	 11.	(A)	 12.	(D)	 13.	 (B)	 14.	(B)	 15.	 (B)
ANSWERS
SPACE FOR ROUGH WORK

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Logical and Math Sample Paper for Class 5

  • 1. Sample Paper | Class-5 | 1 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 one 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? M4ET%J9IB@U8©N#F1V72AH3Y5$6K (A) A (B) % (C) I (D) Y MATHEMATICAL REASONING 5. Which figure has an area of 8 sq. units and a perimeter of 12 units? (Each square block is of side 1 unit). (A) (B) (C) (D) 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 Months (B) 350 (C) 150 (D) 100 SYLLABUS Section – 1 : Patterns,Analogy and Classification, Geometrical Shapes, Mirror and Water Images, Direction Sense Test, Ranking Test,Alphabet Test, Logical Sequence of Words, Puzzle Test, Coding-Decoding. Section – 2 : Numerals, Number names and Number Sense (7 and 8 digit numbers), Computation Operations, Fractions and Decimals, Measurement of Length, Weight, Capacity, Time, Temperature and Money, Conversions, Geometrical Shapes and Solids, Angles, Perimeter of Various Shapes Area of Rectangle and Square, Symmetry, Data Handling Section – 3 : The syllabus of this section will be based on the Syllabus of Mathematical Reasoning. Section – 4 : Higher Order Thinking Questions - Syllabus as per Section-2. PATTERN MARKING SCHEME Section (1) Logical Reasoning (2) Mathematical Reasoning (3) Everyday Mathematics (4) Achievers Section No. of Questions 15 20 10 5 Marks per Ques. 1 1 1 3 Total Questions : 50 Time : 1 hr. SOF INTERNATIONAL MATHEMATICS OLYMPIAD CLASS 5 SAMPLE PAPER SYLLABUS 2021-22
  • 2. | Sample Paper | Class-5 2 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 given two clocks. 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. Select the correct match of Roman numerals with their Hindu-Arabic numerals. (A) CCXVIII - 318 (B) DCCLXIX - 769 (C) MMMCCXCIX - 3399 (D) DCCXLVII - 5748 EVERYDAY MATHEMATICS 11. Harry had 500 coins in a jar. He sorted the coins into 25 different stacks. Each stack had the equal number 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 in Middle School? (A) 642 (B) 762 (C) 1190 (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 ACHIEVERS SECTION 14. Part of a scale is shown below. What is the value of the reading at X? (A) 10.02 cm (B) 10.04 cm (C) 10.2 cm (D) 10.4 cm 15. Vivek rented a bicycle for 3 hours. How much did he pay? (A) ` 13 (B) ` 19 First hour : ` 7 Every additional 1 2 hour : ` 3 (C) ` 22 (D) ` 30 1. (D) 2. (B) 3. (A) 4. (A) 5. (B) 6. (D) 7. (C) 8. (A) 9. (B) 10. (B) 11. (A) 12. (D) 13. (B) 14. (B) 15. (B) ANSWERS SPACE FOR ROUGH WORK