Test: Algebra - Class 6 MCQ

• To create a "T" shape, you need to visualize it as two parts: the top horizontal line and the vertical line.
• For each pattern size, the matchsticks increase in a specific sequence.
• 1st pattern: 2 matchsticks (one vertical and one horizontal).
• 2nd pattern: 3 matchsticks (adding one vertical stick).
• Each subsequent pattern adds 2 matchsticks to the previous total.
• The final total for the 4th pattern is 7 matchsticks.

• The letter "U" can be represented using straight matchsticks.
• To form the shape of a "U", you typically need:
• 2 vertical matchsticks for the sides.
• 1 horizontal matchstick for the bottom.
• Thus, 3 matchsticks are sufficient to create a basic "U" pattern.
• Therefore, the correct answer is 3 matchsticks.

Number of matchsticks required to make one = 5
∴ Number of matchsticks required to make a pattern of letter E as  = 5n

Perimeter of the square = 4 x side = 4n

The relationship between a radius and a diameter is expressed by the formula, diameter = 2 × radius.

We will be using the formula for the perimeter of the equilateral triangle

The side of an equilateral triangle is given as l units.

So, perimeter of the equilateral triangle = 3 × side-length

= 3 × l units

= 3l units

Therefore, 3l units is the perimeter of the equilateral triangle.

25+r or r+25 are same thing as addition is commutative

An expression with numbers only is one that does not contain any variables (like xxx, yyy, or zzz). It consists entirely of numbers and operations.

Let's analyze the options:

1. (7 × 20) – (5 × 10) – 45: This expression contains only numbers and arithmetic operations (multiplication and subtraction). It does not have any variables.

2. 3x: This expression contains a variable xxx, so it is not an expression with numbers only.

3. (7 × 20) – 8z: This expression contains a variable zzz, so it is not an expression with numbers only.

4. 5 – 5n: This expression contains a variable nnn, so it is not an expression with numbers only.

Correct Answer:

1. (7 × 20) – (5 × 10) – 45