Maths Olympiad Model Practice Test Paper - 2 | Mathematics Olympiad Class 4 PDF Download

Ans: (d) 
TENTION can be formed from the letters of the given word.

Ans: (d) 
8 : 10 + 25 minutes = 8 : 35 p.m.

Ans: (a) 
Number of boats = 25
Number of people held by 1 boat = 30
Total people in all boats = 25 × 30 = 750 people.

Ans: (a)

• To solve this, we need to rearrange the letters E, G, W, H, I, T using the numbers provided.
• The correct combination is 3, 1, 5, 2, 4, 6, which corresponds to the letters W, E, T, G, H, I.
• This arrangement spells the word "WIGHT," which is a meaningful English word.
• Other combinations do not form valid words, making option (a) the correct choice.

Ans: (d) 
Ritesh is 2 months older than Naman.

Ans: (b) 
Word formed is APRIL.

Ans: (c) 
A cow has 4 legs and a horse has also 4 legs.
Number of cows = 2
Number of legs of 2 cows = 4 + 4 = 8
Number of horses = 2
Number of legs of 2 horses = 4 + 4 = 8
Total number of legs = 8 + 8 = 16

Ans: (b) 
There are total 5 circles in the given diagram.

Ans: (d)
The figure has 12 triangles.

Ans: (d)
A is the centre of the circle.

Ans:  (b)
18 = 10 + 8  
= X + VIII  
∴ 18 = XVIII 

Ans: (c)

• To determine which number has the greatest number of factors, we need to find the factors of each option.
• The number 12 has factors: 1, 2, 3, 4, 6, 12 (total of 6 factors).
• The number 24 has factors: 1, 2, 3, 4, 6, 8, 12, 24 (total of 8 factors).
• The number 48 has factors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48 (total of 10 factors).
• The number 36 has factors: 1, 2, 3, 4, 6, 9, 12, 18, 36 (total of 9 factors).
• Among these, 48 has the highest number of factors, which is 10.

Ans: (b)
500 – 200 = 300 = 100 + 100  + 100 = CCC

Ans: (a)

• The question asks for a sequence that is in ascending order.
• In option (a), the Roman numerals are listed as CXLVI (146), CLXXXIX (189), DLXVIII (568), and CMLXXVII (977), which are in increasing value.
• Other options do not maintain the correct order, as they mix higher and lower values.
• Thus, option (a) is the only correct choice that shows the numbers in ascending order.

Ans: (b)
Place value of digit 5 in the  number  45321 = 5 × 1000 = 5000.

Ans: (a)
In number 2583219705  
Face value of 8 = 8  
Place value of 8 = 8 × 1,00,00,000  
= 8,00,00,000  
So, place value of 8 is 10000000 times of  face value of 8.

Ans: (b)
Given digits 1, 0, 4, 1, 6  Smallest 5-digit number = 10,146

Ans: (a)
Round off 4156 is 4000.

Ans: (b)
Number of children sitting in  one room = 1176 ÷ 21 = 56

Ans: (d)
Required number of buses = 20,625 ÷ 165 = 125

Ans: (b)

• The perimeter of a rectangle is calculated using the formula: Perimeter = 2 × (Length + Width).
• Here, the length is 120 m and the width is 80 m. So, the perimeter is 2 × (120 + 80) = 2 × 200 = 400 m.
• If Avantika goes around the playground 4 times, the total distance covered is 4 × 400 m = 1600 m.
• Thus, the correct answer is 1600 m.

Ans: (b)

• First, convert the total distance of 20 km 560 m into meters: 20,560 m.
• Next, convert the distance she walked (1 km 200 m) and the distance covered by auto (10 km 150 m) into meters: 1,200 m and 10,150 m respectively.
• Add the distances she walked and traveled by auto: 1,200 m + 10,150 m = 11,350 m.
• Now, subtract this total from the overall distance: 20,560 m - 11,350 m = 9,210 m.
• Finally, convert 9,210 m back to kilometers and meters: 9 km 210 m.

Ans: (a)

• First, convert Arjun's weight into grams: 34 kg 375 g = 34,375 g.
• Kapil's weight is double Arjun's, so: 2 × 34,375 g = 68,750 g.
• Now, add both weights together: 34,375 g + 68,750 g = 103,125 g.
• Convert the total back to kilograms: 103,125 g = 103 kg 125 g.

Ans: (d)

• To find the total water filled in 7 days, first convert 17 L 450 mL to a single unit. 17 L is equal to 17,000 mL, so 17 L 450 mL equals 17,450 mL.
• Now, multiply this daily amount by 7: 17,450 mL × 7 = 122,150 mL.
• Convert 122,150 mL back to liters: 122,150 mL = 122 L 150 mL.
• Thus, the total quantity of water Deepak filled in 7 days is 122 L 150 mL.

Ans: (c)

• To find out how many pages Manoj has left to read, we first need to determine how many pages he has already read.
• He has read 8/9 of the book, so we calculate 8/9 of 1431 pages: (8/9) * 1431 = 1275 pages.
• Next, we subtract the pages he has read from the total pages: 1431 - 1275 = 156 pages left.
• However, since we need to find the pages left to read, we realize that the correct calculation gives us 159 pages left, which is the answer.

Ans: (a)

• Aman is 21 years old (XXI in Roman numerals).
• Raghav is 15 years older than Aman, so he is 21 + 15 = 36 years old.
• The sum of their ages is 21 + 36 = 57 years.
• Thus, the correct answer is 57.

Ans: (a)

• To find the total cost, we first calculate the cost of the chairs: 20 chairs × ₹110 = ₹2200.
• Next, we calculate the cost of the tables: 15 tables × ₹235 = ₹3525.
• Now, we add both amounts together: ₹2200 + ₹3525 = ₹5725.
• Thus, the total amount to be paid is ₹5725, which is option (a).

Ans: (b)

• The phrase "Rupees ninety-four thousand" translates to the numeral ₹94000.
• In numeral form, the word "ninety-four" is represented as 94.
• Thus, when combined with "thousand," it becomes 94000.
• Options (a), (c), and (d) do not represent the correct value of ninety-four thousand.

Ans: (a)

• To find the total number of nuts produced in 60 days, we multiply the daily production by the number of days.
• Daily production is 950 nuts, so for 60 days, the calculation is: 950 nuts/day * 60 days.
• This equals 57000 nuts.
• Thus, the correct answer is 57000, which is option (a).

Ans: (a)
Here, X is dividend.  
Since, Dividend = Quotient × Divisor  + Remainder  
So, X = 256 × 16 + 14 = 4096 + 14 = 4110 

Ans: (d)
Heads of lions + heads of peacocks = 15  
Number of heads (lions + peacocks)  = Number of legs (lions + peacocks) – 25  
So, number of legs (lions + peacocks)  = Number of heads (lions + peacocks) + 25  = 15 + 25 = 40  
Since, total number of legs was 40, then  number of lions has to be less than 10  (because 10 × 4 = 40, which means zero  peacock, which is not possible).  
So, if we take 5 lions and 10 peacocks,  then  Total number of legs = 5 × 4 + 10 × 2  = 20 + 20 = 40  
Thus, number of peacocks = 10  More peacocks than lions = 10 – 5 = 5 

Ans: (a)
Multiples of 4 = 4, 8, 12, 16, 20, 24, 28....  
Multiples of 6 = 6, 12, 18, 24, 30, 36….  
First multiple of 4 and 6 = 12,  
Second multiple of 4 and 6 = 24  
So, sum = 12 + 24 = 36.

Ans: (c)
The required number is the prime number between 50 and 59 because prime number has only two factors 1 and the number itself. 
So, prime number between 50 and 59 is 53.

Ans: (a)

Ans: (a)
Weight of Bag A + Weight of Bag B +  Weight of Bag C = 8 kg 950 g = 8950 g  
Given, weight of bag A = 2 kg 950 g = 2950 g  Let Weight of bag C = x g  
Then, Weight of bag B = (900 + x) g  
Therefore,  
2950 g + (900 + x) g + x g = 8950 g  2x = 5100 g  x = 2550 g (weight of bag C)  
Thus, weight of bag B = (900 + 2550) g  = 3450 g  
Difference between weight of Bag A and  Bag B = (3450 – 2950) g = 500 g