Test: Patterns in Mathematics - 1 - Class 6 MCQ

Mathematics is described as the study of patterns that we see all around us, whether in nature, daily activities, or even in the movements of celestial bodies. This study helps us understand how and why these patterns exist.

A regular polygon is a shape where all sides and angles are equal.

Among the options:

• A rectangle has opposite sides equal, but not all sides and angles are the same.
• A square has all sides equal and all angles equal, making it a regular polygon.
• A circle is not a polygon at all, as it has no sides.
• An ellipse is not a polygon, as it has curved sides.

So, the correct answer is B: Square.

A hexagon is a shape that has 6 sides. You can think of it like a honeycomb, which is made of small hexagonal shapes. If you count the sides of a hexagon, you will see there are six of them.

So, the answer is 6 sides.

64 can be writen as 8 × 8. Thus, it can be shown by dots as:

The pattern alternates between a blue circle () and a yellow diamond (). After the last shape (), the next shape will be a yellow diamond ().

So, the correct answer is A: .

The given sequence is: 1, 3, 6, __, 15, __.

This sequence follows the pattern of triangular numbers, where each term is the sum of consecutive integers:

• 1 = 1
• 1 + 2 = 3
• 3 + 3 = 6
• 6 + 4 = 10
• 10 + 5 = 15

So, the missing term in the sequence is 10.

The correct answer is (c) 10.

• A triangular number is a number that can form an equilateral triangle. The sequence of triangular numbers is: 1, 3, 6, 10, 15, 21, 28, 36, 45, ...

• A square number is a number that is the square of an integer. The sequence of square numbers is: 1, 4, 9, 16, 25, 36, 49, 64, ...

The number 36 appears in both sequences:

• It is the 8th triangular number: 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 = 36.

• It is also the 6th square number: 6 * 6 = 36.

Thus, 36 is both a triangular number and a square number.