Maths Olympiad Previous Year Paper - 3 | Mathematics Olympiad Class 4 PDF Download

Ans: (c)
Dictionary arrangement of words is as follows Epigene, Epilogue, Episode, Epitaxy, Epitome i.e., 3, 5, 2, 1, 4

Ans: (d)

• The word GEOMETRICAL contains the letters G, E, O, M, T, R, I, C, A, L.
• To form a word, all letters must be present in the original word.
• CLAIM, CREAM, and MAGIC can all be created using the letters from GEOMETRICAL.
• However, AMONG cannot be formed because it requires the letter N, which is not in GEOMETRICAL.

Ans: (b)

• Raj's competition is between 10th and 14th October.
• The possible dates are 11th, 12th, and 13th October.
• Since his mother states the date is an even number, the only option that fits is 12th October.
• Thus, the date of Raj's music competition is 12th October.

Ans: (c)

• Understanding the terms: In this scenario, we need to identify which item is classified as junk food based on the given names.
• Mapping the names: 'Mango' is now 'Pizza', 'Pizza' is now 'Cashew', and 'Cashew' is now 'Almond'.
• Identifying junk food: Among these, 'Cashew' (which is originally 'Pizza') is typically considered junk food.
• Conclusion: Therefore, the correct answer is (c) Cashew, as it represents the original 'Pizza', which is junk food.

Ans: (a)
4th Tuesday of September 20XX is on 22nd September. 
Just after 22nd September is 23rd September.

Ans: (b)
Arnav is facing towards, north i.e., Arnav is facing towards restaurant. After making 3/4 turn to his right and 1/2 turn in clockwise direction he will face towards mountains. Now, if he want to face towards bookstore he will have to make 5/8 turn clockwise.

Ans: (c)

There are 15 circles in the given figure.

Ans: (b)
Except Q all lines have line of symmetry.

Ans: (d)
Here, 14 × 5 × 3 = 210  10 × 4 × 8 = 320  So, 3 × 14 × 5 = 210

Ans: (a)
Since 110 × 5 = 550 Therefore, 45 × 12 = 540

Ans: (b)

• In the number 25468, the thousands place is 5 and the tens place is 6.
• When we interchange these digits, the new number becomes 26458.
• Comparing the two numbers, 25468 is indeed smaller than 26458.
• Thus, the original number is smaller than the new number after the interchange.

Ans: (c)
12th multiple of 12 = 12 × 12 = 144 

Ans: (c)
Since, 13 is a prime number.  
So, it has least number of factors.  
Factors of 13 are: 1 and 13 

Ans: (d)
Sixth multiple of 9 is 6 × 9  = 54

Ans: (b)
21 ÷ 7 = 3 (Remainder = 0)  
28 ÷ 7 = 4 (Remainder = 0)  
42 ÷ 7 = 6 (Remainder = 0)

Ans: (c)
Factors of 26 are  
1 × 26 
2 × 13  
Factors of 26 are 1, 2, 13, 26 greatest odd  factor is 13.  

Ans: (b)
1 is neither prime nor  composite number.

Ans: (d)
As, 1656 = 1000 + 500 + 100 + 50 + 5 + 1 = MDCLVI

Ans: (c)
CV = 100 + 5 = 105

Ans: (a)
15 + 14 = 29  
XV + XIV = XXIX  
So, 5 ‘X’ are needed.

Ans: (a)

• To find the total amount Niharika spent, we need to add the costs of all her purchases.
• She spent ₹6420 on clothes, ₹67940 on jewellery, and ₹2870 on footwear.
• Calculating the total: ₹6420 + ₹67940 + ₹2870 = ₹77230.
• Thus, the total amount she spent is ₹77230, which corresponds to option (a).

Ans: (b)

• To round off the number 92582 to the nearest hundred, we look at the tens digit, which is 8.
• Since 8 is 5 or more, we round up the hundreds digit from 5 to 6.
• This means 92582 rounds to 92600.
• Thus, the correct answer is 92600.

Ans: (d)

• First, calculate the total amount of juice in the jug: 8 packets × 250 mL = 2000 mL or 2 L.
• Next, subtract the amount consumed: 2000 mL - 800 mL = 1200 mL.
• Convert 1200 mL to liters: 1200 mL = 1 L 200 mL.
• Thus, the amount of juice left in the jug is 1 L 200 mL.

Ans: (d)

• The breadth of the field is given as 40 m.
• The length is three times the breadth, so it is 3 x 40 m = 120 m.
• The perimeter of a rectangle is calculated as 2 x (length + breadth), which equals 2 x (120 m + 40 m) = 320 m.
• Thus, the total amount of wire needed to fence the field is 320 m.

Ans: (a)

• The donations made by the company were ₹20875 in 2019, ₹45820 in 2020, and ₹46850 in 2021.
• To find out the year with the least amount, we compare the three figures.
• Clearly, ₹20875 in 2019 is less than both ₹45820 and ₹46850.
• Thus, the company donated the least amount in 2019.

Ans: (a)

• Start with Javed's initial number of comics: 21.
• Add the comics he received: 2 from his aunt, 12 for his birthday, and 3 he bought.
• Calculate the total: 21 + 2 + 12 + 3 = 38.
• Thus, Javed now has 38 comics.

Ans: (d)

• To find out how many more cars can be parked in theatre P compared to theatre Q, we need to subtract the number of cars in theatre Q from the number in theatre P.
• The calculation is: 79,407 - 58,868 = 20,539.
• This means theatre P can accommodate 20,539 more cars than theatre Q.
• Thus, the correct answer is option (d) 20,539.

Ans: (b)
Evaluating, 202–101+9 = 101+9 = 110

Ans: (a)
Place value of digit 6 in the  number  28,650 = 6 × 100= 600

Ans: (b)
Given digits 2, 8, 3, 7 Greatest 4-digit number = 8,732

Ans: (d)

• Understanding prime numbers: A prime number is defined as a number that has exactly two distinct factors: 1 and itself.
• Even prime: The number 2 is unique because it is the only even prime number; all other even numbers can be divided by 2, making them non-prime.
• Sum calculation: The 6th multiple of 8 is 48, and the 9th multiple of 7 is 63. Their sum is 48 + 63 = 111, which is correct.
• Difference of primes: The statement that the difference of two prime numbers is always even is incorrect. For example, if you take the prime numbers 2 and 3, their difference is 1, which is odd.

Ans: (c)
First five prime numbers are  2, 3, 5, 7 and 11 
Sum = 2 + 3 + 5 + 7 + 11 = 28 

Ans: (c)
Total number of people in 1  van = 7 children + 1 adult = 8 people  
So, total number of people in 2 vans  = 8 + 8 = 16  
Total number of people in 1 car  = 4 children + 1 adult  = 5 people  
So, total number of people in 4 cars  = 5 + 5 + 5 + 5 = 20  
Thus, total number of people on field trip  = 16 + 20 = 36 

Ans: (c)
Predecessor of 7 + 8  = (7 + 8) – 1  = 15 – 1 = 14  So, 21 – 7 = 14  

Ans: (a)
Mukti’s age now = 21 years  
Mukti’s father’s age now = 3 × 21 = 63 years  
Difference between her father’s age = 70 –  63 = 7  
So, Mukti’s age after 7 years = 21 + 7 = 28 years