Maths Olympiad Previous Year Paper - 3 | Math Olympiad for Class 5 PDF Download

Ans: (b)

• The color of grass is typically green.
• In the code, Green is referred to as Yellow.
• Thus, the color of grass, which is originally green, is now called Yellow in this code.
• Therefore, the correct answer is Yellow.

Ans: (b)

• The numbers 256, 144, and 196 are all perfect squares: 256 is 16², 144 is 12², and 196 is 14².
• However, 81 is also a perfect square (9²), but it is the only number that is not a multiple of 4.
• Thus, 81 stands out as the odd one because it does not fit the pattern of being a perfect square of an even number.
• In summary, the correct answer is (b) 81, as it is the only number that does not align with the others in terms of being a perfect square of an even integer.

Ans: (d)

• To form a meaningful word from the letters W O R F E L, we need to rearrange them.
• The correct arrangement is 4, 6, 2, 1, 5, 3, which gives us the word "FLOWER".
• This option correctly uses the letters to create a valid English word.
• Other options do not form any meaningful word with the given letters.

Ans: (a)

• Ashima's timeline indicates she joins after the 24th and before the 29th of April, which gives us the possible dates of 25th, 26th, 27th, or 28th.
• Her sister's memory states she joins after the 26th, narrowing it down to 27th or 28th.
• Her father's recollection states she joins before the 28th, which means the only date that fits all these conditions is 27th April.
• Thus, the correct date for Ashima's Yoga class is 27th April.

Ans: (b)

• To determine the correct order, we need to look at the first letters of each word: S in Special, S in Speed, S in Spare, and S in Select.
• Since all words start with S, we check the second letters: p in Special, p in Speed, p in Spare, and e in Select.
• Select comes first because it has an e, followed by Spare, Speed, and finally Special.
• Thus, the correct order is Select (4), Spare (3), Special (1), and Speed (2), which corresponds to option (b).

Ans: (d)
Previous Friday falls on 7 days before 24th April, i.e., 17th April.

Ans: (c)
The number of doctors who are neither artists nor players is 17.

Ans: (c)

Ans: (b)

Ans: The direction diagram of Nimita is as shown below:
So, she is South-East from her home.

Ans: (b)
The numbers in pattern 4 = 30, 33, 36, 39, 42 And, the sum of the numbers in pattern 4 = 30 + 33 + 36 + 39 + 42 = 180.

Ans: (c)
The relationship is x : (2 x – 5) 8 : ( 2 × 8 - 5) = 11 
Similarly, 15 : (2 × 15 – 5) = 25

Ans: (b)
She is facing Temple if she turns 225° clockwise.

Ans: (d)
The pattern is as follows: 
Working from top to bottom, double each number and subtract 1, then 2, then 3 etc. 
3 + 3 = 6 – 1 = 5
5 + 5 = 10 – 2 = 8 and so on.

Ans: (b)
Number of students behind Mehar in rank = (30 – 5) = 25.
So, Mehar is 26th from the bottom.
Number of students behind Manvi in rank = (30 – 6) = 24.
So, Manvi is 25th from the bottom.

Ans: (d)

• The common multiples of numbers are the multiples that are shared by those numbers.
• The least common multiple (LCM) of 6, 8, and 12 is 24, which is the smallest number that can be divided by all three without a remainder.
• The first three common multiples are found by multiplying the LCM by 1, 2, and 3, resulting in 24, 48, and 72.
• Thus, the first three common multiples of 6, 8, and 12 are 24, 48, and 72.

Ans: (c)

• The place value of a digit depends on its position in the number. In 920873, the digit 2 is in the thousands place, which means its value is 2000.
• The digit 7 is in the tens place, giving it a value of 70.
• To find the difference, subtract the value of 7 from the value of 2: 2000 - 70 = 1930.
• However, since we are looking for the difference in terms of their absolute values, we take 2000 - 70 = 19930.

Ans: (c)

• First, calculate the weight of ball P: 9.4 × 4 = 37.6 kg.
• Next, find the weight of ball Q by adding the extra weight: 37.6 kg + 6.2 kg = 43.8 kg.
• Thus, the weight of ball Q is 43.8 kg.

Ans: (b)

• First, convert the mixed numbers into improper fractions: 3 1/4 = 13/4 and 1 1/6 = 7/6.
• Now, multiply these fractions: (13/4) x (7/6) = 91/24.
• Next, convert 3 1/8 into an improper fraction: 3 1/8 = 25/8.
• To add 91/24 and 25/8, find a common denominator, which is 24. Convert 25/8 to 75/24.
• Now, add: 91/24 + 75/24 = 166/24, which simplifies to 6 11/12.

Ans: (a)

• The year has a total of 12 months.
• Out of these, 4 months have 30 days: April, June, September, and November.
• To find the fraction, we divide the number of months with 30 days (4) by the total number of months (12): 4/12.
• This simplifies to 1/3, which is the correct answer.

Ans: (b)

• To find the total capacity of 3 tanks, we first need to calculate the total volume of water in one tank, which is 49 5/6 litres.
• Next, we multiply this amount by 3: litres × 3 = litres.
• This means that 3 tanks can hold a total of litres of water.
• Thus, the correct answer is (b) litres.

Ans: (d)
Descending order means arranging numbers  from the greatest to the least. 
So, the descending order is 1635, 1536, 1520, 1356.

Ans: (c) 
Ten lakh three is written as 10,00,003.  One million five thousand is written as  1,005,000.  
One million is written as 1,000,000  
One crore is written as 1,00,00,000  
The smallest number is 1,000,000  i.e., 1 million.  

Ana: (a)
CXIV = 100 + 10 + 4 = 114

Ans: (b) 
Face value of 3 in the number 8453 = 3.  
Place value of 3 in the number 8453 = 3 × 1 = 3  
Difference between face value and place value of 3 in the number is = 3 – 3 = 0 

Ans: (a)

Ans: (a)

Ans: (c) 
1 is the identity element with respect to multiplication.  
As if a is any whole number, then  a × 1 = a = 1 × a 

Ans: (d) 
Any number multiplied by zero gets zero  as a result.

Ans: (c) 
By distributive property of multiplication  over addition  
So, 258 × 96 + 258 × 4 = 258 × (96 + 4) = 258 × 100 = 25800 

Ans: (c)
41 and 43 are consecutive odd numbers.

Ans: (b) 
The odd numbers between 20 and 50 are 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49

Ans: (c) 
3 is a not a factor of 8.

Ans: (a)

Ans: (b) 
Each angle of a rectangle is 90º 
Then sum of three angles of rectangle = 90º + 90º + 90º = 270º

Ans: (a)

• The height of Karan is CLX cm, while Sahil's height is CLII cm.
• In Roman numerals, CLX equals 160 and CLII equals 152.
• Since 160 cm (Karan) is greater than 152 cm (Sahil), Karan is taller.
• Thus, the correct answer is Karan.

Ans: (a)

• To find the sum of the lengths of the notebook and the book, we need to add their lengths together.
• The length of the notebook is 24.8 cm and the length of the book is 12.1 cm.
• When we add these two lengths: 24.8 cm + 12.1 cm = 36.9 cm.
• Thus, the total length is 36.9 cm, which corresponds to option (a).

Ans: (c)

• Heena started with XXXIV pencils, which is 34 in decimal.
• She used XXIX pencils, equivalent to 29 in decimal.
• To find the remaining pencils, subtract the used pencils from the total: 34 - 29 = 5.
• Thus, Heena has V pencils left, which is 5 in decimal.

Ans: (a)

• To find out how many days Mansi practices, we need to divide her total practice time by the time she practices each day.
• She practices 7 1/2 hours a week, which is the same as 7.5 hours.
• She practices 1 1/2 hours each day, which is 1.5 hours.
• Now, we calculate: 7.5 hours ÷ 1.5 hours/day = 5 days.
• Thus, Mansi practices for 5 days in a week.

Ans: (d)

• To find the number of non-defective computers, we need to subtract the defective ones from the total produced.
• The calculation is: 1,64,372 (total computers) - 12,736 (defective computers) = 1,51,636 (non-defective computers).
• This means that out of all the computers made, 1,51,636 are in good working condition.
• Thus, the correct answer is option (d).

Ans: (c)

• To find the perimeter of the rectangular park, use the formula: Perimeter = 2 × (Length + Breadth).
• Here, Length = 46 cm and Breadth = 38 cm. So, Perimeter = 2 × (46 + 38) = 2 × 84 = 168 cm.
• Vansh runs around the park 5 times, so the total distance covered is 5 × Perimeter = 5 × 168 cm = 840 cm.
• Thus, the total distance covered by Vansh is 840 cm.

Ans: (c)
0 is neither positive nor negative. 

Ans: (d)

Ans: (c)
(a) –38 + (–24) = –62, which is a negative integer.  
(b) –61 + 43 = –18, which is a negative integer.  
(c) –53 + 72 = 19, which is a positive integer.  
(d) –25 + 0 = –25, which is a negative integer.

Ans: (b) 
n(n + 1)(n + 2) = 1 · (1 + 1) · (1 + 2)  = 1 × 2 × 3 = 6

Ans: (d) 

Ans: (c) 
On the number line, –50 lies to the right of –60.

Ans: (c) 
Possible combinations of (A, B) such that  AB = 64 are  
(1, 64), (2, 32), (4, 16) and (8, 8) 
∴ A + B cannot be 35.

Ans: (a)
Deepest point in the sea = –11690 m  
Highest mountain top = +5845 m  
∴ Difference in the elevations  
= 5845 – (–11690)  
= 5845 + 11690 = 17535 m

Ans: (b) 
Only 2 km below sea-level represents  negative integer i.e., (–2)km