Test: Algebra - Class 6 MCQ

• 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" 
• Therefore to create the pattern we need 3n match sticks
• the correct answer is 3n 

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

- If one basket contains x mangoes, the problem asks for the total number of mangoes in 5 such baskets.
- Each basket has the same number of mangoes, x 
- Therefore, for 5 baskets, you multiply the number of mangoes in one basket by 5.
- This gives the expression 5 times x , which simplifies to 5x 
- Thus, the total number of mangoes in 5 baskets is  5x
- Therefore, the correct answer is B: 5x 

Perimeter of the square = 4 x side = 4n

Topic in NCERT: Perimeter of a square

Line in NCERT: "The perimeter of a square = 4 times the length of a side of the square = 4 × l = 4l."

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

Topic in NCERT: Geometry

Line in NCERT: "The diameter of a circle is a line which joins two points on the circle and also passes through the centre of the circle."

• Smallest 3-digit number divisible by 6:
  Start from 100. The smallest number divisible by 6 is 102.

• Largest 3-digit number divisible by 6:
  Start from 999. The largest number divisible by 6 is 996.

• Find how many numbers are in this sequence:
  Use the formula for how many multiples exist between two numbers:

• Answer: option (c) 150

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.

Topic in NCERT: Geometry and Perimeter of Polygons

Line in NCERT: "The side of an equilateral triangle is shown by l. Express the perimeter of the equilateral triangle using l."

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

Topic in NCERT: Expressions with Variables

Line in NCERT: "25 added to r"

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 x, so it is not an expression with numbers only.

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

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

Correct Answer:

1. (7 × 20) – (5 × 10) – 45

- Shyam has  x pens.
- Ram has 15 more pens than Shyam.
- To find the number of pens Ram has, add 15 to the number of pens Shyam has. that is x + 15
- The correct answer is not given among the options provided. Therefore, the answer is A : x + 15