Mathematics Olympiad Model Test Paper - 2 | Math Olympiad for Class 2 PDF Download
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: Select the odd one out, which does not match the other three option.(a) 321 – 123
(b) 456 – 654
(c) 789 – 987
(d) 678 – 867
View AnswerAns: (d)
Q2: Select the odd one out, which does not match the other three options.
(a) Pen
(b) Pencil
(c) Eraser
(d) Notebook
View AnswerAns: (d)
Pen, pencil, and eraser are used for writing or correcting, whereas a notebook is used for writing on. So, the notebook is the odd one out.
Q3: Identify the relationship of the given pair and find the missing figure.
Bird : Sky : : Fish : ?
(a) Water
(b) Tree
(c) Land
(d) Mountain
View AnswerAns: (a)
A bird lives or flies in the sky, and a fish lives in water. Hence, the correct answer is Water.
Q4: Identify the relationship of the given pair and find the missing figure.
(a) 
(b) 
(c) 
(d) 
View AnswerAns: (a)
Q5: What number comes next: 7, 9, 11, 13, 15, _______
(a) 21
(b) 16
(c) 17
(d) None of these
View AnswerAns: (c)
As 7 + 2 = 9,
9 + 2 = 11,
11 + 2 = 13,
13 + 2 = 15 and
15 + 2 = 17
Q6: Complete the analogy given
(a) 151418
(b) 161513
(c) 171312
(d) 141518
View AnswerAns: (d)
According to alphabetical order
H = 08, A = 01, T = 20
∴ N = 14, O = 15, R = 18.
Thus, to complete the analogy we will use 141518.
Q7: Arrange these activities in the correct sequence:
1. Eating
2. Waking up
3. Sleeping
(a) 2, 1, 3
(b) 3, 1, 2
(c) 1, 2, 3
(d) 2, 3, 1
View AnswerAns: (a)
Waking up → Eating → Sleeping
Q8: Complete the pattern:
⬛ ⬜ ⬛ ⬜ ⬛ __
(a) ⬛
(b) ⬜
(c) ⬤
(d) ◼
View AnswerAns: (b)
The pattern alternates between a black square (⬛) and a white square (⬜). The next figure is a white square (⬜).
Q9: Fill in the missing figure:
⬤ ◯ ⬤ ◯ ⬤ __
(a) ⬤
(b) ◯
(c) ▲
(d) ◻
View AnswerAns: (b)
The pattern alternates between a filled circle (⬤) and an empty circle (◯). The next figure is an empty circle (◯).
Q10: Which shape completes the pattern?
⬤ ▲ ⬤ ▲ ⬤ __
(a) ⬤
(b) ▲
(c) ◯
(d) ⬛
View AnswerAns: (b)
The pattern alternates between ⬤ (circle) and ▲ (triangle). The next shape in the sequence is ▲ (triangle).
Mathematical Reasoning
Q11: Which one of the following numbers will replace the question mark (?) in the number series given below?
(a) 36
(b) 60
(c) 62
(d) 64
View AnswerAns: (d)
Multiply each number by 2 to get the next number.
Q12: Replace the question mark with a number from the options given below.
1000, 1111, ?, 1333
(a) 2222
(b) 1234
(c) 1222
(d) None of these
View AnswerAns: (c)
1000, 1111, 1222, 1333
Q13: Which one of the following letters will replace the question mark(?) in the letter series given below?
(a) 
(b) 
(c) 
(d)
View AnswerAns: (a)
Q14: Which rule describes the pattern shown?
(a) + 6
(b) + 8
(c) + 10
(d) + 5
View AnswerAns: (c)
2 + 10 = 12
12 + 10 = 22
22 + 10 = 32
32 + 10 = 42.
Q15: Complete the pattern: 
(a) 950, 750
(b) 850, 950
(c) 750, 950
(d)750, 850
View AnswerAns: (c)
Q16: The picture graph show some cartoons that children like to watch.
Which cartoon does 50 children like to watch?
(a) Tom and Jerry
(b) Doraemon
(c) Shinchan
(d) Chhota Bheem
View AnswerAns: (d)
Number of children who like to watch Chhota Bheem = 10 × 5 = 50
Q17: The given pictograph shows how many toys are owned by children of a locality. 
In this pictograph, 
represents 5 toys. Now answer the following question.
How many toys are owned by the five friends shown in the pictograph?
(a) 15
(b) 60
(c) 75
(d) 90
View AnswerAns: (c)
Total toys = 15 + 10 + 25 + 20 + 5 = 75
Q18: Read the following data carefully and choose the best option.
Which class has the minimum number of students?
(a) Class 1
(b) Class 2
(c) Class 3
(d) Class 4
View AnswerAns: (c)
Class 3
Q19: A jug holds 2 liters of water, and a cup holds 200 ml of water. How many cups of water are needed to fill the jug?
(a) 10 cups
(b) 5 cups
(c) 8 cups
(d) 15 cups
View AnswerAns: (a)
2 liters = 2000 ml, and 2000 ÷ 200 = 10 cups.
Q20: Fill in the blanks and select the CORRECT option.
(p) If today is Monday, then tomorrow is _______.
(q) If yesterday was Thursday, then today is _______.
(a) (p) Tuesday; (q) Friday
(b) (p) Wednesday; (q) Saturday
(c) (p) Tuesday; (q) Monday
(d) (p) Thursday; (q) Saturday
View AnswerAns: (a)
If today is Monday, then tomorrow must be Tuesday.
If yesterday was Thursday, then today must be Friday.
So, the correct answer is Tuesday for the first blank and Friday for the second.
Q21: The table below shows the cost of different number of ball pens.
What is the cost of one ball pen?
(a) ₹ 9
(b) ₹ 6
(c) ₹ 1
(d) ₹ 3
View AnswerAns: (d)
Cost of 4 ball pens = 12
Cost of 1 ball pen = 12/4= ₹ 3
Q22: Which of the following options shows the number less than 654?
(a) 7 hundreds 5 tens 6 ones
(b) 6 hundreds 7 tens 8 ones
(c) 5 hundreds 9 tens 9 ones
(d) Smallest 3-digit number
View AnswerAns: (c)
The number to compare is 654. Now, let’s check each option:
Option (a): 756
Option (b): 678
Option (c): 599
Option (d): 100 (smallest 3-digit number)
The highest number that is less than 654 is 599, which corresponds to Option (c).
Q23: Match the following:
(a) A-(ii), B-(iv), C-(i), D-(iii)
(b) A-(i), B-(iii), C-(ii), D-(iv)
(c) A-(ii), B-(iii), C-(i), D-(iv)
(d) A-(iv), B-(ii), C-(iii), D-(i)
View AnswerAns: (c)
(A) ₹ 3.50 + 25 paise = ₹ 3.75
(B) ₹ 45.25 + ₹ 2 = ₹ 47.25
(C) ₹ 1.50 + 40 paise = ₹ 1.90
(D) ₹ 3.40 + 20 paise = ₹ 3.60
Hence, A → (ii), B → (iii), C → (i), D → (iv)
Q24: Replace the question mark:
(a) 56
(b) 65
(c) 70
(d) 60
View AnswerAns: (d)
Q25: Which number is being described?
It is a 2-digit number.
The sum of its digits is 7.
It is less than 50 but more than 40.
(a) 34
(b) 43
(c) 52
(d) 25
View AnswerAns: (b)
34: 3 + 4 = 7 (But it's less than 40)
43: 4 + 3 = 7 (Yes, this works)
52: 5 + 2 = 7 (But it's more than 50)
25: 2 + 5 = 7 (But it's less than 40)
So, the correct number is 43.
Q26: In the addition and subtraction given below, the correct values of (A), (B) and (C) are:
(A) + (B) = 43 and 43 – 12 = (C)
(a)(A) = 3 tens, (B) = 13 ones and (C) = 3 tens + 1 ones.
(b)(A) = 4 tens, (B) = 3 ones and (C) = 4 tens + 2 ones.
(c)(A) = 3 tens, (B) = 3 ones and (C) = 3 tens + 4 ones.
(d)(A) = 4 tens, (B) = 13 ones and (C) = 4 tens + 4 ones.
View AnswerAns: (a)
(A) + (B) = 43
30 + 13 = 43
43 – 12 = (C) = 31
Now,
30 = 3 tens
13 = 13 ones
31 = 3 tens + 1 ones
Q27: Which combination of weights will keep them both sides balanced on Simple balance.
(a) 60 g and 6 g
(b) 6 kg and 600 g
(c) 500 g and half kg
(d) 3 kg and 400 g
View AnswerAns: (c)
1 kg = 1000 g
Half kg = 500 g
So, 500 g and Half kg are same.
Q28: Grandmother made a pizza for her 6 grandchildren. What is the fraction of pizza each grandchildren will get if it is shared equally among them?
(a) 1/2
(b) 1/6
(c) 1/4
(d) 1/5
View AnswerAns: (b)
Total pieces of pizza = 6
Each child will get = 1 piece
Fraction = 1/6
Q29: If 7 players in a cricket match score 34 runs each. How many total runs were scored?
(a) 230
(b) 234
(c) 238
(d) 236
View AnswerAns: (c)
Each player score runs = 34
No. of players = 7
Total number of score = 34 × 7 = 238
Q30: Read the following statements and mark them as True (T)/False (F).
A. Weight of packet of milk is measured in kg.
B. Capacity of bucket is measured in liters.
C. Weight of fruits is measured in kg.
(a) FTT
(b) TFF
(c) FTF
(d) FFT
View AnswerAns: (a)
Statement A → F
Statement B → T
Statement C → T
Achievers Section
Q31: Replace the question mark with correct number in the following figure.
(a) 11
(b) 12
(c) 16
(d) 15
View AnswerAns: (b)
1 + 3 + 4 = 8
1 + 2 + 3 = 6
3 + 4 + 5 = 12
Q32: There is a certain relationship between the figure I & III and II & IV. Identify the relationship and find the missing figure.
(a) 
(b) 
(c) 
(d) 
View AnswerAns: (b)
Q33: Which number is being described?
It is a 2-digit number.
The sum of its digits is 9.
It is less than 70 but more than 60.
(a) 63
(b) 81
(c) 54
(d) 72
View AnswerAns: (a)
63: 6 + 3 = 9 (Yes, this works)
81: 8 + 1 = 9 (But it's more than 70, so it doesn't fit the clue)
54: 5 + 4 = 9 (But it's less than 60)
72: 7 + 2 = 9 (But it's more than 70)
So, the correct number is 63.
Q34: What should be the next number of the pattern? Choose the correct option.
A.17, 15, 13, 11, _____
B. 26, 23, 20, 17, _____
C. 45, 40, 35, 30, _____
D. 90, 80, 70, 60, _____
(a) 9, 14, 25, 50
(b) 9, 12, 20, 45
(c) 10, 14, 50, 25
(d) 8, 14, 45, 20
View AnswerAns: (a)
17, 15, 13, 11, 9
26, 23, 20, 17, 14
45, 40, 35, 30, 25
90, 80, 70, 60, 50
Q35: Deepa with her parents and one 10 years old younger brother and 2 years old younger sister went to an amusement park. How much money whole family will spend on the tickets? The cost of the tickets based on the age is given below:
(a) ₹ 66
(b) ₹ 65
(c) ₹ 64
(d) ₹ 63
View AnswerAns: (b)
No. of adults = 3
Entrance fees for adults = 3 × ₹ 18 = ₹ 54
Entrance fees for 10 years old child = ₹ 11
Entrance fees for 2 years old child = ₹ 0
Total amount = ₹ 54 + ₹ 11 = ₹ 65
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