HOTs for Maths Olympiad - 2 - Class 5 MCQ

(i) The sum of 372 and 648 is P:
We calculate:
372 + 648 = 1020
So, P = 1020.

(ii) The difference between 987 and 543 is Q:
We calculate:
987 - 543 = 444
So, Q = 444.

(iii) The product of 25 and 4 is R:
We calculate:
25 × 4 = 100
So, R = 100.

Thus, the correct answer is A: (P)-1020, (Q)-444, (R)-100.

(i) The greatest common divisor of 48 and 64 is P:

The divisors of 48 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48.

The divisors of 64 are: 1, 2, 4, 8, 16, 32, 64.

The common divisors of 48 and 64 are: 1, 2, 4, 8, and 16.

The greatest of these common divisors is 16.

So, P = 16.

(ii) The next prime number after 17 is Q:

The prime numbers after 17 are 19, 23, etc.

The next prime number after 17 is 19.

So, Q = 19.

(iii) The square of 12 is R:

The square of 12 is 12 × 12 = 144.

So, R = 144.

Thus, the correct answer is C: (P)-16, (Q)-19, (R)-144.

(i) The area of a rectangle with length 10 cm and width 5 cm is P cm²:

The area of a rectangle is calculated as:
Area = Length × Width
Area = 10 cm × 5 cm = 50 cm²
So, P = 50.

(ii) The perimeter of a square with side length 7 cm is Q cm:

The perimeter of a square is calculated as:
Perimeter = 4 × Side length
Perimeter = 4 × 7 cm = 28 cm
So, Q = 28.

(iii) The volume of a cube with side length 3 cm is R cm³:

The volume of a cube is calculated as:
Volume = Side³
Volume = 3 cm × 3 cm × 3 cm = 27 cm³
So, R = 27.

Thus, the correct answer is A: (P)-50, (Q)-28, (R)-27.

(i) The smallest 3-digit number divisible by 5 is P:

The smallest 3-digit number is 100.
Since 100 is divisible by 5 (100 ÷ 5 = 20), the smallest 3-digit number divisible by 5 is 100.
So, P = 100.

(ii) The number of days in a leap year is Q:

A leap year has 366 days (an extra day in February).
So, Q = 366.

(iii) The sum of the angles in a triangle is R degrees:

The sum of the angles in any triangle is always 180 degrees.
So, R = 180.

Thus, the correct answer is B: (P)-100, (Q)-366, (R)-180.

(i) The number of edges in a cube is P:

A cube has 12 edges.
So, P = 12.

(ii) The number of vertices in a cuboid is Q:

A cuboid has 8 vertices.
So, Q = 8.

(iii) The number of faces in a pyramid with a square base is R:

A pyramid with a square base has 1 square face (the base) and 4 triangular faces.
So, the total number of faces is 5.
So, R = 5.

Thus, the correct answer is A: (P)-12, (Q)-8, (R)-5.

(i) The next even number after 14 is P:

The next even number after 14 is 16.
So, P = 16.

(ii) The sum of 9 and 6 is Q:

The sum of 9 and 6 is:
9 + 6 = 15.
So, Q = 15.

(iii) The difference between 20 and 13 is R:

The difference between 20 and 13 is:
20 - 13 = 7.
So, R = 7.

Thus, the correct answer is B: (P)-16, (Q)-15, (R)-7.

(i) The result of 81 ÷ 9 is P:

81 ÷ 9 = 9
So, P = 9.

(ii) The result of 49 ÷ 7 is Q:

49 ÷ 7 = 7
So, Q = 7.

(iii) The result of 64 ÷ 8 is R:

64 ÷ 8 = 8
So, R = 8.

Thus, the correct answer is A: (P)-9, (Q)-7, (R)-8.

(i) The average of 8, 12, and 20 is P:

The average is calculated as:
Average = (Sum of all numbers) / (Number of numbers)
Average = (8 + 12 + 20) / 3 = 40 / 3 = 13
So, P = 13.

(ii) The median of 4, 15, and 9 is Q:

To find the median, we first arrange the numbers in ascending order:
4, 9, 15
The middle number is 9, so Q = 9.

(iii) The mode of 2, 3, 3, 4, 4, 4, 5 is R:

The mode is the number that appears most frequently. In this case, 4 appears three times, more than any other number.
So, R = 4.

Thus, the correct answer is D: (P)-13, (Q)-9, (R)-4.

(i) The next number in the sequence 3, 6, 9, 12, ... is P:

The sequence increases by 3 each time.
3 + 3 = 6, 6 + 3 = 9, 9 + 3 = 12, so the next number is 12 + 3 = 15.
So, P = 15.

(ii) The total number of minutes in 3 hours is Q:

1 hour = 60 minutes, so 3 hours = 3 × 60 = 180 minutes.
So, Q = 180.

(iii) The decimal form of 3/4 is R:

To convert 3/4 to a decimal, divide 3 by 4:
3 ÷ 4 = 0.75.
So, R = 0.75.

Thus, the correct answer is B: (P)-15, (Q)-180, (R)-0.75.

(i) The number of days in February in a non-leap year is P:

In a non-leap year, February has 28 days.
So, P = 28.

(ii) The total number of sides in a pentagon is Q:

A pentagon has 5 sides.
So, Q = 5.

(iii) The product of 7 and 9 is R:

The product of 7 and 9 is:
7 × 9 = 63.
So, R = 63.

Thus, the correct answer is D: (P)-28, (Q)-5, (R)-63.