Writing Number Patterns and Rules Related to Them

Q.

If GO = 32, SHE = 49, Then SOME Will Be: (A) 52.(B) 56.(C) 62.(D) 66.

1. 52

2. 56

3. 62

4. 66

Q.

Team $A$ consists of $7$ boys and $n$ girls and Team $B$ has $4$ boys and $6$ girls. If a total of $52$ single matches can be arranged between these two teams when a boy plays against a boy and a girl plays against a girl, then $n$ is equal to

1. $5$

2. $6$

3. $2$

4. $4$

Q.

The digits of a two digit number differ by 2. If the digits are interchanged and resulting number is added to the original number we get 88.

What is the original number?

1. 24

2. 42

3. 57

4. 53

Q.

Find a natural number whose square diminished by $84$ is equal to thrice of $8$ more than the given number.

Q.

In a class of $60$ students, if $25$ students play cricket, $20$ students play tennis and $10$ students play both the games, then the number of students who play neither is

1. $45$

2. $0$

3. $25$

4. $35$

Q.

Question 8

Leela is Radha’s younger sister. Leela is 4 years younger than Radha. Can you write Leela’s age in terms of Radha’s age? Take Radha’s age to be x years.

Q.

Question 3

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. Find the nth term of the series 2, 5, 8, 11, ...

Q.

Question 30.

'8 more than three times the number x' can be written as ___ .

Q.

The teacher distributes $5$ pencil per student. Can you tell how many students are needed, given the number of students

Q.

Question 3(b)

Given Sara’s present age today is y years. Think of her age in the future or in the past. What will the following expression indicate?

$y+7,y-3,y+4\frac{1}{2},y-2\frac{1}{2}$

Q.

Find the square root of $196$

Q.

The ratio of boys to girls in a class is $3:4$ . There are $20$ girls in the class . How many are boys?

Q.

A teacher takes $3$ children from her class to the zoo at a time as often as she can, but she does not take the same three children to the zoo more than once. She finds that she goes to the zoo $84$ times more than a particular child goes to the zoo. The number of children in her class is equal to?

Q.

The difference of any two consecutive whole numbers is $2$.

1. True
2. False

Q.

Which least number should be added to 1000 so that the sum is exactly divisible by 45?

Q.

Question: 3

Which of the following represent 6 $\times$ $x$ ?

(a) 6$x$

(b) $\frac{x}{6}$

(c) 6 + $x$

(d) 6 -$x$

Q.

Seven different teachers are to deliver lectures in seven periods of a class on a particular day. $A$, $B$ and $C$ are three of the teachers. The no.of ways in which a routine for the day can be made such that $A$ delivers his lecture before $B$ and $B$ before $C$ is?

1. $420$

2. $120$

3. $210$

4. None of these

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.

Question 83

Convert the given statement into ordinary language:-

Khader's monthly salary was ₹ p in the year 2005. His salary in 2006 was ₹ (p + 1000).

Q.

A hero is fighting with a dragon.

At first, the dragon has three heads but each time the hero chops off a head the dragon grows three in its place.

How many heads does the dragon have after seven chops?

After $n$ chops?

Q.

Question 9

Mother has made laddus. She gives some laddus to guests and family members; still 5 laddus remain. If the number of laddus mother gave away is $l$, how many laddus did she make?

Q.

Question 2(e)

Change the following statement using expressions into statement in ordinary language.(For example, given Salim scores r run in a cricket match, Nalin scores (r + 15) runs. In ordinary language – Nalin scores 15 runs more than Salim.)

In an arrangement of dots there are r rows. Each row contains 5 dots.

Q.

Express the odd number $31$ as the sum of three odd numbers.

Q.

A bird flies 1 kilometre in one minute. Can you express the distance covered by the bird in terms of its flying time in minutes? (Use t for flying time in minutes)

Q.

Multiple of $5$. Give the expression

Q. Write the algebraic expression to represent the pattern formed by all odd numbers.

Q.

Ravis father is $25$ year more than twice of Ravis age. Write fathers age in terms of Ravis age. (Take Ravis age as $m$ year​)

Q. Rina wanted to make the number “$262226$” using matchsticks. How many matchsticks are required to make the given number?

1. $21$
2. $26$
3. $32$
4. $36$

Q.

Meena, Beena, and Reena are climbing the steps to the hilltop. Meena is at step $\mathrm{s}$, Beena is $8$ steps ahead, and Reena is $7$ steps behind. Where are Beena and Reena? The total number of steps to the hilltop is $10$ less than $4$ times what Meena has reached. Express the total number of steps using $\mathrm{s}$.