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Maths Olympiad Previous Year Paper - 2 | Mathematics Olympiad Class 4 PDF Download

Table of contents
Logical Reasoning
Mathematical Reasoning
Everyday Mathematics
Achievers Section

Note: The questions provided in this document are similar to the questions that were asked in the actual Olympiad exam. So, we recommend you study these for your Olympiad preparation

Logical Reasoning

Q1: The number of unit squares in Figure 10 in the given figure pattern is _______.
(a) 66
(b) 45
(c) 55
(d) 36

Maths Olympiad Previous Year Paper - 2 | Mathematics Olympiad Class 4

View Answer

Ans: (c)
Figure 1 --- 1 Box
Figure 2 --- 2 + 1 Boxes
Figure 3 --- 3 + 2 + 1 Boxes
That means -
Figure 10 --- 10 + 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 = 55 Boxes
So, Option C is the correct answer

Q2: There are number of cubes in the given figure.
(a) 8
(b) 10
(c) 12
(d) 15

View Answer

Ans: (a)
Cross the cubes in the given figure one by one. Now count the number of crossed out shapes.
Maths Olympiad Previous Year Paper - 2 | Mathematics Olympiad Class 4 We have 8 cubes. So, Option A is the right answer

Q3: If P and Q as well as R and S interchange their positions, then what is the position of T with respect to P?

(a) East
(b) West
(c) North
(d) South

View Answer

Ans: (a)
If we interchange P and Q, then we get the following Picture –
Maths Olympiad Previous Year Paper - 2 | Mathematics Olympiad Class 4 In this new Picture, T is in the East of P. So, Option A is the right answer.

Q4: Find the missing number, if a certain rule is followed in the given figure.
(a) 342
(b) 339
(c) 456
(d) 135

View Answer

Ans: (b)
The upper half of the circle has 2-digit numbers, all starting with 2.
They are in normal counting sequence – 24, 25, 26, 27.
Now, let's observe the numbers in lower half of the circle.
All are 3-digit numbers, starting with 3.
Let's find out the difference between these numbers.
325 – 318 = 7
332 – 325 = 7
That means there would be same rule between 332 and ?
? – 332 = 7
Or, ? = 7 + 332
Or, ? = 339
So, the right answer is Option B.

Q5: If 'earth' is called 'sky', 'sky' is called 'water', 'water' is called 'light' and 'light' is called 'air', then if someone is thirsty what would he drink?
(a) light
(b) air
(c) sky
(d) water

View Answer

Ans: (a)
Sol: If someone is thirsty he will drink water but water is called light.

Q6: The Vanilla cake is larger than the Coconut cake. The Chocolate cake is larger than the Vanilla cake but smaller than the Mango cake. Which of the following is the CORRECT order of cakes from the largest to the smallest?
(a) Vanilla, Coconut, Chocolate, Mango
(b) Mango, Chocolate, Coconut, Vanilla
(c) Mango, Vanilla, Chocolate, Coconut
(d) Mango, Chocolate, Vanilla, Coconut

View Answer

Ans: (d)
Order of cakes from the largest to the smallest: is Mango, Chocolate, Vanilla, Coconut

Q7: If the day before yesterday was Thursday, then what day will be day after tomorrow?
(a) Monday
(b) Sunday
(c) Wednesday
(d) Friday

View Answer

Ans: (a)
The day before yesterday was Thursday. So today is Saturday and the day after tomorrow will be Monday.

Q8: How many triangles are there in the given figure?
(a) 10
(b) 11
(c) 12
(d) 13

View Answer

Ans: (c)
Maths Olympiad Previous Year Paper - 2 | Mathematics Olympiad Class 4 There are 12 triangles in the given figure.

Q9: Hema walks towards west. After travelling some distance she take a right turn and again travelling some distance she take a left turn. In which direction she will be facing now?
(a) North
(b) East
(c) West
(d) South

View Answer

Ans: (c)
Maths Olympiad Previous Year Paper - 2 | Mathematics Olympiad Class 4 So, Hema is facing towards west direction now.

Q10: Which of the following numbers will continue the given series?
70, 68, 64, 58, 50?
(a) 42
(b) 40
(c) 44
(d) 38

View Answer

Ans: (b)
The pattern is, Maths Olympiad Previous Year Paper - 2 | Mathematics Olympiad Class 4

Mathematical Reasoning

Q11: Which of the following is a shared multiple of 5 and 11?
(a) 50
(b) 55
(c) 45
(d) 60

View Answer

Ans: (b)

Common multiples are numbers that can be divided evenly by both numbers.
The multiples of 5 include 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, etc.
The multiples of 11 include 11, 22, 33, 44, 55, 66, etc.
The smallest number that appears in both lists is 55, making it the common multiple of 5 and 11.

Q12: Fill in the blank and select the CORRECT option. 5281 + ? = Largest 5-digit number
(a) 4719
(b) 94718
(c) 92168
(d) 4981

View Answer

Ans: (b)

To find the missing number, we first need to identify the largest 5-digit number, which is 99999.
Next, we subtract 5281 from 99999: 99999 - 5281 = 94718.
This means that the number we need to add to 5281 to reach the largest 5-digit number is 94718.
Thus, the correct option is (b) 94718.

Q13: The number of visitors at a Diwali mela on the first two days were 11523 and 9235. On the third day, there were 1580 visitors more than on the first day. How many total people visited the mela on all the three days?
(a) 25611
(b) 31915
(c) 33861
(d) 37141

View Answer

Ans: (c)

First, calculate the total visitors for the first two days: 11523 + 9235 = 20758.
Next, find the number of visitors on the third day: 11523 + 1580 = 13103.
Now, add the visitors from all three days: 20758 + 13103 = 33861.
Thus, the total number of visitors at the mela over the three days is 33861.

Q14: In a competition, Kinjal scored 4121 points. Koyal scored 3140 points and Payal scored 2406 points. Total points scored by them altogether are:
(a) 6997
(b) 9667
(c) 9767
(d) 9666

View Answer

Ans: (b)
The total points scored by Kinjal, Koyal and Payal = 4121 + 3140 + 2406 = 9667

Q15: If 1 + 3 + 5 + 7 + 9 + … + 99 = 2500, then 3 + 5 + 7 + 9 + … + 101 =
(a) 2400
(b) 2600
(c) 2610
(d) 2910

View Answer

Ans: (b)
The second sum replaces 1 with 101, so the total is 2500 + 100 = 2600.

Q16: Alfonse’s high chair is 10 times as tall as his cat. His cat is 8 times as tall as his pet rat. His rat is 6 times as tall as his pet cricket. If his cricket is 4 mm tall, how tall is Alfonse’s high chair?
(a) 3840 mm
(b) 240 mm
(c) 720 mm
(d) 1920 mm

View Answer

Ans: (d)
Work backwards. Alfonse’s rat is 6 × 4 = 24 mm tall.
His cat is 8 × 24 = 192 mm tall.
His high chair is 10 × 192 = 1920 mm tall.

Q17: P = 454658, Q = 400085, R = 408789. Which one of the following is the greatest?
(a) P + R
(b) Q + R
(c) P + Q
(d) All of these are equal

View Answer

Ans: (a)
P + R = 454658 + 408789 = 863447
Q + R = 400085 + 408789 = 808874
P + Q = 454658 + 400085 = 854743
So, greatest is P + R.

Q18: Ray runs every other day. If he ran for the first time last month on a Monday, then he ran for the tenth time last month on a
(a) Wednesday
(b) Thursday
(c) Friday
(d) Monday

View Answer

Ans: (c)
If Ray ran for the first time last month on a Monday, then he ran on Wed., Fri., Sun., Tues., Thurs., Sat., Mon., Wed., and Fri.
The tenth day was a Friday.

Q19: The annual fees of Riya is ₹ 5372 and the annual fees of Rohan is ₹4352. What is their total fees altogether?
(a) ₹ 9734
(b) ₹ 9724
(c) ₹ 9624
(d) ₹ 9825

View Answer

Ans: (b)
Total fees paid by Riya and Rohan = 5372 + 4352 = 9724

Q20: On Tuesday, 28917 people watched the cricket test match. On Wednesday, 26625 people watched the match. On Thursday, the attendance was 31897. What was the total attendance for these three days?
(a) 87500
(b) 86700
(c) 87439
(d) 85000

View Answer

Ans: (c)
The total attendance for three days = 28917 + 26625 + 31897 = 87439

Everyday Mathematics

Q21: Mr. Sharma invited 276015 guests to his daughter's marriage. Which of the following options shows the correct number name for the number of guests invited by him?
(a) Two lakh seventy-six thousand nine hundred and five
(b) Two lakh seventy-six thousand and fifteen
(c) Twenty-seven lakh six thousand ninety-five
(d) Twenty-seven lakh six thousand nine hundred and five

View Answer

Ans: (b)

Understanding the number: The number 276015 can be broken down into its components: 2 lakh, 76 thousand, and 15.
Correct naming: The correct way to express this number in words is "Two lakh seventy-six thousand and fifteen."
Other options: The other options either miscount the thousands or the units, leading to incorrect representations.
Conclusion: Therefore, the correct answer is option (b), which accurately reflects the number of guests invited.

Q22: The place value of which digit is always equal to its own value?
(a) 5
(b) 1
(c) 4
(d) 0

View Answer

Ans: (d)
The place value of zero (0) is always 0.

Q23: A barrel contains 30 litres of milk. A milk dealer empties it equally into 6 cans. Each can will hold ______ of milk.
(a) 5 L
(b) 24 L
(c) 36 L
(d) 180 L

View Answer

Ans: (a)

The total volume of milk is 30 litres.
This milk is divided equally among 6 cans.
To find out how much milk each can holds, we divide 30 litres by 6.
So, 30 ÷ 6 = 5 litres per can.
Thus, each can will hold 5 litres of milk.

Q24: There are 350 individuals in a seminar hall. If 3/7 of them are males, how many females are present in the seminar hall?
(a) 150
(b) 300
(c) 200
(d) 280

View Answer

Ans: (c)

First, calculate the number of males: 3/7 of 350 equals 150 males.
Next, to find the number of females, subtract the number of males from the total: 350 - 150 equals 200 females.
Thus, the total number of females in the seminar hall is 200.

Q25: Puneet wanted to take the bus at 6:25 p.m. He arrived at the bus stop 40 minutes before 6:25 p.m. At what time did Puneet arrive at the bus stop?
(a) 5:35 p.m.
(b) 5:45 p.m.
(c) 4:45 p.m.
(d) 5:25 p.m.

View Answer

Ans: (b)

Puneet needed to catch the bus at 6:25 p.m..
He got to the bus stop 40 minutes earlier than that time.
To find out when he arrived, we subtract 40 minutes from 6:25 p.m..
Doing the math, 6:25 p.m. - 40 minutes = 5:45 p.m..

Q26: There are 480 notebooks in a bookstore. Out of which, 40 notebooks were sold on Monday and 80 notebooks were sold on Tuesday. What fraction of the total notebooks were sold on both the days?
(a) 2/5
(b) 1/4
(c) 3/4
(d) 3/5

View Answer

Ans: (b)

First, calculate the total notebooks sold: 40 (Monday) + 80 (Tuesday) = 120 notebooks.
Next, find the fraction of notebooks sold: 120 sold out of 480 total.
This fraction is 120/480, which simplifies to 1/4.
Thus, the fraction of the total notebooks sold on both days is 1/4.

Q27: Jyoti read 541 pages during her summer reading program. To achieve her target of 650 pages, how many additional pages does she need to read?
(a) 99
(b) 109
(c) 119
(d) 199

View Answer

Ans: (b)

To find out how many more pages Jyoti needs to read, we subtract the pages she has already read from her goal.
So, we calculate: 650 (goal) - 541 (read) = 109.
This means Jyoti needs to read 109 more pages to reach her goal.
Thus, the correct answer is option (b).

Q28: The positions of how many digits in the number 321465987 will remain same when the digits are arranged in ascending order?
(a) None
(b) One
(c) Two
(d) Three

View Answer

Ans: (d)
Maths Olympiad Previous Year Paper - 2 | Mathematics Olympiad Class 4 Required number of digits = 3

Q29: Which one of the following lies at the farthest distance from 0 (zero) on the number line?
(a) 5,694
(b) 49,894
(c) 98,446
(d) 56,942

View Answer

Ans: (c)
98,446 is the farthest from zero.

Q30: What is the equivalent Hindu-Arabic numeral for XV?
(a) 10
(b) 51
(c) 15
(d) 50

View Answer

Ans: (c)
X + V = 10 + 5 = 15

Achievers Section

Q31: Fill in the blanks and select the CORRECT option.
(i) The difference between the place value and the face value of digit 7 in 57254 is _____.
(ii) The number 20853 when rounded off to nearest hundreds gives ______.
(a) 7007, 20900
(b) 6993, 20900
(c) 6993, 21000
(d) 7017, 20800

View Answer

Ans: (b)

Place value of 7 in 57254 is 7000, while its face value is 7. The difference is 7000 - 7 = 6993.
When rounding 20853 to the nearest hundreds, we look at the tens digit (5). Since it is 5 or more, we round up, resulting in 20900.
Thus, the correct option is (b) 6993, 20900.

Q32: What is the Hindu Arabic numeral of MMMCCCXXXIII?
(a) 333
(b) 30303
(c) 3330
(d) 3333

View Answer

Ans: (d)
MMMCCCXXXIII = 1000 + 1000 + 1000 + 100 + 100 + 100 + 10 + 10 + 10 + 1 + 1 + 1 = 3333

Q33: The radius of a circle is half the length of the side of a square. The square’s perimeter is equal to the diameter of the circle multiplied by
(a) 6
(b) 10
(c) 8
(d) 12

View Answer

Ans: (b)
If a radius of a circle is half the length of a side of a square, a diameter is equal to the length of one side. The perimeter is 4 times the diameter.

Q34: When each of the following is divided by 8, only _____ has a remainder that is a prime number.
(a) 564
(b) 642
(c) 678
(d) 318

View Answer

Ans: (c)
The remainder upon division by 8 is shown next to each answer choice.
Of the remainders shown, only 2 is a prime. (1 is not prime)

Q35: My aunt can fold 16 paper cranes in 4 minutes. My uncle can fold 15 paper cranes in 5 minutes. How long would it take them to fold 42 cranes if they work together at those rates?
(a) 6 minutes
(b) 10 minutes
(c) 12 minutes
(d) 14 minutes

View Answer

Ans: (a)
My aunt can fold 4 paper cranes in 1 minute.
My uncle can fold 3 paper cranes in 1 minute.
Together they fold 7 paper cranes in 1 minute.
It takes them 42÷7=6 minutes to fold 42 paper cranes.

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FAQs on Maths Olympiad Previous Year Paper - 2 - Mathematics Olympiad Class 4

1. What is the format of the Maths Olympiad Previous Year Paper for Class 4?

Ans. The Maths Olympiad Previous Year Paper for Class 4 typically consists of multiple-choice questions, short answer questions, and problem-solving tasks. The questions are designed to test logical reasoning, mathematical reasoning, and everyday mathematics skills.

2. How can I prepare effectively for the Maths Olympiad for Class 4?

Ans. To prepare effectively for the Maths Olympiad, students should practice previous year papers, work on sample questions, and strengthen their understanding of fundamental concepts in mathematics. Regularly solving puzzles and engaging in logical reasoning exercises can also be beneficial.

3. What topics are usually covered in the Class 4 Maths Olympiad?

Ans. The Class 4 Maths Olympiad typically covers topics such as basic arithmetic, geometry, fractions, patterns, measurements, and logical reasoning. It may also include questions related to everyday mathematics that students encounter in real-life situations.

4. How is the scoring done in the Maths Olympiad for Class 4?

Ans. In the Maths Olympiad for Class 4, each correct answer usually carries a certain number of marks, while incorrect answers may lead to a penalty or no marks at all. The total score is calculated based on the number of correct answers submitted by the student.

5. Are there any specific strategies to tackle logical reasoning questions in the Maths Olympiad?

Ans. Yes, when tackling logical reasoning questions in the Maths Olympiad, students should read the questions carefully, look for patterns or clues, and eliminate clearly wrong answers. Practicing similar questions beforehand can also help improve speed and accuracy during the exam.

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