Writing Patterns in Geometry

Q.

Ten examples of perfect participle

Q.

A stack of 1000 sheets of paper is 11.8 cm high. What is the thickness of each sheet ?

Q. If the perimeter of a regular hexagon is $x$ metres, then the length of each of its sides is _____ metres.

1. $x+6$
2. $x÷6$
3. $x-6$
4. $6÷x$

Q.

Question 85 (i)

A triangle is made up of 2 red sticks and 1 blue stick.

The length of a red stick is given by r and that of a blue stick is given by b. Using this information, write an expression for the total length of sticks in the pattern given below

Q.

Question 72

Each symbol given below represents an algebraic expression.

The symbols are then represented in the expression

Find the expression which is represented by the above symbols.

Q.

Question 85 (ii)

In the given figure, the length of a green side is given by g and that of the red side is given by p.

Write an expression for the following pattern. Also, write an expression if 100 such shapes are joined together.

Q. What is the number of matchsticks needed to make $n$ numbers of $T$ patterns?

1. $16n$
2. $12n$
3. $14n$
4. $13n$

Q. In the pattern

if we consider a single figure, each row in that figure has ___ number of squares.

1. odd
2. even
3. prime
4. None of the above

Q. Simplify
3x_5_x+9

Q. One fourth of a number 'x' is 3 more than 7 can be represented explain?
(a)m/4 + 7 =3
(b)m/4 +3 =7
​​​(c)m/4 - 7 = 3
(d)m/4 - 3 = 7

Q.

Cadets are marching in a parade. There are 5 cadets in a row. What is the rule which gives the number of cadets, given the number of rows? (Use n for the number of rows.)

Q. How many maximum diagonals can be drawn from a vertex in a 12-sided polygon?

1. 5
2. 7
3. 9
4. 11

Q. The number of diagonals that can be drawn from one vertex in a 9-sided polygon is ____.

1. 6
2. 8
3. 7
4. 5

Q. In the pattern

if we consider a single figure, each row in that figure has ___ number of squares.

1. odd
2. even
3. prime
4. composite

Q. The number of diagonals that can be drawn from one vertex in a 9-sided polygon is ____.

1. 5
2. 6
3. 7
4. 8

Q. The number of diagonals that can be drawn from one vertex in a 9-sided polygon is ____.

1. 6
2. 7
3. 8
4. 5

Q.

Solve the following:

From a sugarcane of length 8m, two pieces measuring 2.5m and 3.75m are cut off. Find the length of the remaining piece of sugarcane.

Q. If the sum of $13mn$, $-7nm$, $4m$ and $7mn$ is $x$, then find the value of x.$\left[2Marks\right]$

Q.

Solve by separating variable

1)6(y+4)=-12

Q.

Observe the pattern given below,

The term at $n^{th}$ position will be given by expression:

1. n(n+1)/2

2. n(n-1)/2

3. n(n-1)

4. n²

Q.

Each symbol given below represents an algebraic expression.

The symbols are then represented in the expression

Find the expression which is represented by the above symbols.

1. $10x^2+8y^2+x$
2. $10x^2-8y^2+x$
3. $10x^2-3y-8y^2+x$
4. $10x^2+8y^2+3y+x$

Q.

A boy took a few matchsticks and started making triangles with it. Three matchsticks were required for making a single triangle and six for making two and so on. He finished the entire match box in making triangles.Which of the following gives the number of matchsticks if the number of triangles formed is n?

1. 1n

2. 2n

3. 3n

4. 4n

Q. The number of diagonals that can be drawn from one vertex in a 9-sided polygon is ____.

1. 8
2. 5
3. 6
4. 7

Q.

Find the value of the expression when $x=2$.

$\frac{25}{3}\times 6x$

Q. Evaluate the following:

1. $1.5$
2. $2$
3. $2.5$
4. $3$

Q. Find:
$\frac{5}{63}-\left(\frac{-6}{21}\right)$

Q. Find the sum. $\frac{1}{3}+\frac{3}{4}+\frac{5}{6}$

Q. By using dot $(\cdot )$ pattern, which of the following numbers can be arranged in two ways namely a triangle and a rectangle ?

1. $11$
2. $10$
3. $12$
4. $9$

Q.

the perimeter of a rectangle is 24m and the area is 27 m sq. find its length and bredth. how to do this question?