Let your child practice some subtraction skills, check this worksheets:
Reading and Writing- WS 2
Branches of Government
This worksheet, is based on cross-curriculum of Social science/history and English, students will read and learn about Branches of Government and then they have to answer the questions:
Reading and Writing- WS1
Anatomy of a Circle
This worksheets, is based on cross-curriculum of Math and English, students will read and learn about Circle and then they have to answer the questions:
Verbs- WS 2
In this worksheets, students will identify Action and Linking verbs, this will help them to enhance their knowledge about the verbs: (Answers are also provided at the end of the worksheet)
Verbs- WS 3
In this worksheet, students will identify the Action verbs, it will improve their understanding about the action verbs. (Answer keys are also provided at the end of the worksheet.)
Find Mean, Median, Mode & Range- WS3
A. Find the mean, median, mode and range of the following data sets:
1. 13, 18, 13, 14, 13, 16, 14, 21, 13
Mean: _____ Median: _____
Mode: _____ Range: _____
Find Mean, Median, Mode & Range- WS2
Name:_______________________________ Date:_____________________
1. Sara Lee earned scores of 98, 100, 65, 78, 98, 35, 100, 100, 45, and 50 on her reading tests. What is the mean of her test scores?
2. A family decides to hold two Christmas parties, one on Christmas Eve and one on Christmas Day. The youngest person to attend the Christmas Eve party is 15 and the oldest is 29. The youngest person to attend the Christmas Day party is 27 and the oldest is 42. Which party has a larger age range of visitors?
Find Mean, Median,Mode &Range- WS1
1. What do you understand by Mean, Median, Mode and Range of a data?
Statistics- Lesson 1
Mean: The average of numbers (data values) is called mean.
Rule to find the mean of a data set: Add all the numbers in a given data set and divide the sum with the number of data values in the set.
Example: Suppose we have to find the mean of the data set: 12, 22, 24, 27, and 35.
Step 1: add all numbers to find their sum:
Median: The middle value of a sorted data set is called the median of the set.
Rule to find the mean of a data set:
(1) If number of data values in a set is odd: suppose we need to find the median of data set 5, 7, 23, 21, 15, 30, 27
First, arrange all the values in ascending (smallest to greatest) order as,
5, 7, 15, 21, 23, 27, 30
Now, we have 7 data values (or simply we have 7 numbers in the set), find the middle number of the set, that will be the median of the set.
5, 7, 15, 21, 23, 27, 30
Here 21 is the middle number in the set, so the median of the set is 21
(2) If number of data values in a set is even: In this case, we will find the middle two terms and then the mean of middle two terms will be the median of the data set.
suppose we need to find the median of data set 5, 7, 23, 21, 15, 30, 17, 27
First, arrange all the values in ascending (smallest to greatest) order as,
Rule to find the mean of a data set: Add all the numbers in a given data set and divide the sum with the number of data values in the set.
Example: Suppose we have to find the mean of the data set: 12, 22, 24, 27, and 35.
Step 1: add all numbers to find their sum:
12 + 22 + 24 + 27 + 35 = 120
Step 2: Then we take this sum and divide it by the number of values in the set (which is 5):120 ÷ 5 = 24
The result 24, is the mean (average) of the data set.Median: The middle value of a sorted data set is called the median of the set.
Rule to find the mean of a data set:
(1) If number of data values in a set is odd: suppose we need to find the median of data set 5, 7, 23, 21, 15, 30, 27
First, arrange all the values in ascending (smallest to greatest) order as,
5, 7, 15, 21, 23, 27, 30
Now, we have 7 data values (or simply we have 7 numbers in the set), find the middle number of the set, that will be the median of the set.
5, 7, 15, 21, 23, 27, 30
Here 21 is the middle number in the set, so the median of the set is 21
(2) If number of data values in a set is even: In this case, we will find the middle two terms and then the mean of middle two terms will be the median of the data set.
suppose we need to find the median of data set 5, 7, 23, 21, 15, 30, 17, 27
First, arrange all the values in ascending (smallest to greatest) order as,
5, 7, 15, 17, 21, 23, 27, 30
Now, we have 8 data values (or simply we have 8 numbers in the set), find the middle two numbers of the set,
5, 7, 15, 17, 21, 23, 27, 30
Here, the middle two terms are 17 and 21,
now find the mean of 17 and 21
Here, the middle two terms are 17 and 21,
now find the mean of 17 and 21
\(\frac{17+21}{2}=\frac{38}{2}=19\)
So, 19 is the median of the given data set.
Mode: The data which appears most often in a data set means the value which occurs most number of times in a set, is called the mode of the set.
Example: suppose we have data set 2,7,6,1,11,15,14,2,6,6,7
Arrange the data in ascending order, (this will make question easy), as:
1, 2, 2, 6, 6, 6, 7, 7, 11, 14, 15
In this set the number 6 occurs most number of times (three times) so, the mode of the data set is 6.
Note 1: There may be no mode if no value appears more than any other.
Example: Find the mode of 5, 11, 10, 13, 14, 2, 12, 3
In the above data each values occurs same number of times, so the data has no mode.
Note 2: There may also be two modes (bi-modal), three modes (tri-modal), or four modes or more modes (multimodal).
Example 1: Find the mode of 5, 11, 10, 5, 13, 14, 2, 2, 12, 3
Arrange the data in ascending order as, 2, 2, 3, 5, 5, 10, 11, 12, 13, 14
In the above data set the values 2 and 5 occur more than other values means both 2 and 5 occur 2-times in the data set, therefore this data has two modes 2 and 5.
Example 2: Find the mode of 5, 11, 10, 5, 13, 14, 2, 2, 12, 3, 13
Arrange the data in ascending order as, 2, 2, 3, 5, 5, 10, 11, 12, 13, 13, 14
In the above data set the values 2, 5 and 13 occur more than other values means 2, 5 and 13 occur 2-times in the data set, therefore this data has three modes 2, 5 and 13.
So, a data set can have multi modes.
Range: The ranges of the data set is the difference between the highest and lowest values in the set. To find lowest and highest values, arrange the data in ascending order.
Example: Find the Range of 11, 15, 7, 3, 4, 16, 12, 13
First arrange the data in ascending order as: 3, 4, 7, 11, 12, 13, 15, 16
Highest value = 16 and lowest value = 3
Range =16-3=3
Q: Find mean median, mode and range of 13, 18, 13, 14, 13, 16, 14, 21, 13
Ans: first arrange the data in ascending order as, 13, 13, 13, 13, 14, 14, 16, 18, 21
\({Mean}=\frac{13+13+13+13+14+14+16+18+21}{9}=\frac{263}{9}=15\)
\({Median}=middle\ number\ of\ the\ data=14\)
\({Mode}=the\ value\ which\ occurs\ most\ number\ of\ times\ in\ set=13 \)
\({Range}=highest\ value-Lowest\ value=21-13=8\)
Factorization: Prime Factorization
Before factorization, we need to know that what the factor is...?
Example: The number 2 divides the number 4, therefore 2 is a factor of 4.
The number 3, divides the number 12, therefore 3 is a factor of 12.
Factorization means when we write a number as a product of smaller numbers or the method to breaking down a number into smaller numbers.
Example: The number 20 can be written as the product of smaller numbers as,
\(20=4\times5\),
\(20=2\times10\)
\(20=2\times2\times5\)
So, the numbers 2,4,5 and 10 are the factors of 20.
Prime factorization: This is a method to find which prime numbers multiply together to make the original number.
Example: Suppose we need to find prime factors of 20. 
Start dividing 20 with the smallest prime number which is 2,
we will get \(\frac{20}{2}=10\),
so 20 can be written as \(2\times10\)
But 10 is not a prime number,
Now divide 10 with the smallest prime number, we will get \(\frac{10}{2}=5\),
so 10 can be written as \(2\times5\).
Now 5 is a prime number means we can not divide it further, so by combining these we can say that:
20 can be written as the product of prime numbers 2,2 and 5, these are the prime factors of 20 as:
\(\mathbf{20}=\mathbf{2}\times\mathbf{2}\times\mathbf{5}\)
Another method to find Prime Factors is Factor Tree
Factor tree: This method includes to find any factors of given number and then find factors of those factors till we didn’t get all the prime numbers.
Example: Suppose we need to find prime factors of 108 by using factor tree method.
Take factors of \(108\ =\mathbf{9}\times\mathbf{12}\) and write under 108 
Now find the factors of factors 9 and 12 (which we got in step 1), as:
\(9=\mathbf{3}\times\mathbf{3}\\) and
12=\mathbf{4}\times\mathbf{3}\),
write factors under the numbers 9 and 12.
now 3 is a prime number but not 4, so find factors of 4, as:
4=2\times2
Now we got all the prime factors of 108 as:
\(\mathbf{2}\times\mathbf{2}\times\mathbf{3}\times\mathbf{3}\times\mathbf{3}\)
So, \(\ \mathbf{108}=\mathbf{2}\times\mathbf{2}\times\mathbf{3}\times\mathbf{3}\times\mathbf{3}\)
Multiplication Lesson-1
Multiplication is one of the four operations of Mathematics. It is a process to find the total sum when a number is added multiple times, so we can say that multiplication is a ‘repeated addition’. The result of multiplication operation is called ‘product’. The two numbers being multiplied are called ‘Multiplicand’ and ‘Multiplier’ and collectively they are called ‘Factors’.
Multiplication: two digits' number with one-digit number
Practice your multiplication skills by solving this worksheet:
Divisibility Rules
Divisibility rules, help the students to find if a number is divisible by another number without doing lengthy calculations.
Meaning of ‘Divisible by’: ‘Divisible by’ means when we divide a number with another number, the result is a whole number, means division is a complete division (remainder is zero).
Rules:
Note: Zero (0) is divisible by any number except by itself means 0 can be divided by any number but \(0 ÷ 0\) is meaningless.
Divisibility by 1: Every integer is divisible by 1.
Note: This rule can be repeated when needed, look at the following example:
Consider a number 89988
sum of digits of \(89988=8+9+9+8+8=42\)
now,reapeat the rule for number 42
sum of digits of \(42=4+2=6\)
and,6 is divisible by 3 so,89988 is also divisible by 3.
Divisibility by 4: A number is divisible by 4 if the number formed by its last two digits is divisible by 4 means number formed by its last two digits is a multiple of 4.
Example: Suppose we need to check if the number 172 is divisible by 4 or not
Now, the number formed by last two digits of 172 is 72
divide 72 with 4
example: The number 72 is a divisible by 4 as \(72÷4=18\)
So the number 172 is divisible by 4
Some more examples for the divisibility by 4:
Divisibility by 5: any integer ending with 0 or 5 means any integer which has las digit 0 or 5, is divisible by 5.
Example: Suppose we need to check if the number 90 is divisible by 5 or not
The last digit in 90 is 0, so 90 is divisible by 5.
More examples for the divisibility by 5:
Divisibility by 6: Any integer which is divisible by both 2 and 3.
Example: Suppose we need to check if the number 162 is divisible by 6 or not
Check divisibility by 2: As the last digit of number 162 is 2, so 162 divisible by 2 (by the divisibility rule of 2).
Check divisibility by 3: sum of digits of 162=1+6+2=9, now 9 is divisible by 3, so 162 is also divisible by 3 (by the divisibility rule of 3).
Now we can see that the number 162 is divisible by both 2 and 3, so it’s also divisible by 6.
Another example:Suppose we need to check if the number 274 is divisible by 6 or not
Check divisibility by 2: As the last digit of number 274 is 4, so 274 divisible by 2 (by the divisibility rule of 2).
Check divisibility by 3: sum of digits of 274\(=2+7+4=13\), now 13 is not divisible by 3 (by the divisibility rule of 3), so 274 is not divisible by 3.
Now we can see that the number 274 is divisible by 2 but not by 3, so it’s not divisible by 6.
Another example: Suppose we need to check if the number 165 is divisible by 6 or not
Check divisibility by 2: As the last digit of number 165 is 5, so 165 is not divisible by 2 (by the divisibility rule of 2).
Check divisibility by 3: sum of digits of 165=\(1+6+5=12\), now 12 is divisible by 3 (by the divisibility rule of 3) so, 165 is also divisible by 3
Now we can see that the number 165 is not divisible by 2 but it’s divisible by 3, so it’s not divisible by 6.
Divisibility by 7: To check if a number is divisible by 7, double the last digit and subtract from the number formed by rest of the digits, if the result is a multiple of/divisible by 7 then the number is also divisible by 7.
Example: Suppose we need to check if the number 91 is divisible by 7 or not
Now, last digit of 91 is 1, when we double it means multiply 1 by 2 and we will get 2
And, number formed by rest of the digits is 9
Subtract 2 from 9 and we will get 7 as \(9-2=7\), which is divisible by 7, so 91 is divisible by 7.
Another example: Suppose we need to check if the number 682 is divisible by 7 or not
Now, last digit of 682 is 2, when we double it means multiply 2 by 2 and we will get 4
And, number formed by rest of the digits is 68
Subtract 4 from 68 and we will get 64 as \(68-4=64\), which is not divisible by/not a multiple of 7, so 682 is not divisible by 7.
Note: This rule can be repeated when needed, look at following example:
Suppose we need to check if the number 1771 is divisible by 7 or not
Now, last digit of 1771 is 1, when we double it means multiply 1 by 2 and we will get 2
And, number formed by rest of the digits is 177
Subtract 2 from 177 and we will get 175 as \(177-2=175,\)
Repeat the rule for 175:
Now, last digit of 175 is 5, when we double it means multiply 5 by 2 and we will get 10
And, number formed by rest of the digits is 17
Subtract 10 from 17 and we will get 7 as \(17-10=7\), which is divisible by 7, so 1771 is divisible by 7.
Divisibility by 8: A number is divisible by 8 if the number formed by its last three digits is divisible by 8 means number formed by its last three digits is a multiple of 8.
Example: Suppose we need to check if the number 3120 is divisible by 8 or not
Now, the number formed by last three digits of 3120 is 120
now divide 120 with 8
the number 120 is divisible by 8 as \(120÷8=15\)
so the number 3120 is divisible by 8.
More examples for the divisibility by 8:
Divisibility by 9: A number is divisible by 9 if the sum of the digits of the number is a multiple of 9, means if the sum of digits is divisible by 9.
Example: Suppose we need to check if the number 3672 is divisible by 9 or not
The digits of 3672 are 3, 6, 7 and 2 sum of digits = \(3+6+7+2=18\)
18 is a multiple of 9 as \(18÷9=2\)
So, 3672 is divisible by 9
More examples for the divisibility by 9:
Note: This rule can be repeated when needed, look at the following example:
Consider a number 16299
sum of digits of 16299\(=1+6+2+9+9=27\)
reapeat the rule for number 27
sum of digits of \(27=2+7=9\)
and,9 is divisible by 9 so,16299 is also divisible by 9.
Divisibility by 10: any integer ending with 0, is divisible by 10.
Example: Suppose we need to check if the number 170 is divisible by 10 or not
Last digit of number 170 is 0, so 170 is divisible by 10
Divisibility by 11: To check if a number is divisible by 11, subtract the last digit from the number formed by rest of the digits, if the result is a multiple of/divisible by 11, then the number is also divisible by 11.
Example: Suppose we need to check if the number 297 is divisible by 11 or not
Last digit of 297 is 7
Number formed by rest of the digits = 29
Now, subtract 7 from 29 and the result will be 29-7=22, which is a multiple of 11 (22 is divisible by 11), so 297 is divisible by 11.
Note: This rule can be repeated when needed, look at the following example:
Suppose we need to check if the number 14652 is divisible by 11 or not
Last digit of 14652 is 2
Number formed by rest of the digits = 1465
Now, subtract 2 from 1465 and the result will be \(1465-2=1463\),
Now, repeat the rule for 1463:
Last digit of 1463 is 3
Number formed by rest of the digits = 146
Now, subtract 3 from 146 and the result will be \(146-3=143\),
Again, repeat the rule for 143:
Last digit of 143 is 3
Number formed by rest of the digits = 14
Now, subtract 3 from 14 and the result will be \(14-3=11\), which is a multiple of 11 (11 is divisible by 11), so 14652 is divisible by 11.
Another example: Suppose we need to check if the number 976 is divisible by 11 or not
Last digit of 976 is 6
Number formed by rest of the digits = 97
Now, subtract 6 from 97 and the result will be \(97-6=91\), which is not a multiple of 11 (91 is not divisible by 11) so, 976 is not divisible by 11.
Another Rule to Check Divisibility By 11:
If in any integer, the sum of the digits at even position = the sum of the digits at odd position, then the number is divisible by 11.
OR if, the difference of the sum of the digits at even position and the sum of the digits at odd position =11, then the number is divisible by 11.
Example: Suppose we need to check if the number 1364 is divisible by 11 or not
Now, digits at Odd position are 4 and 3
sum of 4 and 3\(=4+3=7\)
Digits at Even position are 6 and 1
sum of 6 and 1\(=6+1=7\)
Sum of digits at Odd position = Sum of digits at Even position = 7
So, 1364 is divisible by 11.
Another example: Suppose we need to check if the number 1903 is divisible by 11 or not
Now, digits at Odd position are 3 and 9
sum of 3 and 9\(=3+9=12\)
Digits at Even position is 1 and 0
sum of 1 and 0\(=1+0=1\)
Difference of Sum of digits at Odd position and Sum of digits at Even position \(= 12-1=11\)
So, 1903 is divisible by 11.
Divisibility by 12: Any integer that is divisible by both 3 and 4 is also divisible by 12.
Example: Suppose we need to check if the number 660 is divisible by 12 or not
Check divisibility by 3: sum of digits of 660\(=6+6+0=12\), now 12 is divisible by 3 (because 12 is a multiple of 3 as \(12÷3=4)\) so, 660 is also divisible by 3.
Check divisibility by 4: number formed by last two digits of 660 is 60, now 60 is divisible by 4 (because 60 is a multiple of 4 as \(60÷4=15)\) so, 660 is also divisible by 4
Now we can see that the number 660 is divisible by both 3 and 4, so it’s also divisible by 12.
Another example: Suppose we need to check if the number 648 is divisible by 12 or not
Check divisibility by 3: sum of digits of \( 548=6+4+8=18\), now 18 is divisible by 3 (because 18 is a multiple of 3 as \(18÷3=6)\) so, 648 is also divisible by 3.
Check divisibility by 4: number formed by last two digits of 648 is 48, now 48 is divisible by 4 (because 48 is a multiple of 4 as \(48÷4=12)\) so, 648 is also divisible by 4
Now we can see that the number 648 is divisible by both 3 and 4, so it’s also divisible by 12.
Another example: Suppose we need to check if the number 224 is divisible by 12 or not
Check divisibility by 3: sum of digits of 224\(=2+2+4=8\), now 8 is not divisible by 3 (because 8 is not a multiple of 3) so, 224 is not divisible by 3.
Check divisibility by 4: number formed by last two digits of 224 is 24, now 24 is divisible by 4 (because 24 is a multiple of 4 as \(24÷4=6)\) so, 224 is also divisible by 4
Now we can see that the number 224 is not divisible by 3 but it is divisible by 4 only, so it is not divisible by 12.
Another example: Suppose we need to check if the number 549 is divisible by 12 or not
Check divisibility by 3: sum of digits of 549\(=5+4+9=18\), now 18 is divisible by 3 (because 18 is a multiple of 3 as \(18÷3=6)\) so, 549 is divisible by 3.
Check divisibility by 4: number formed by last two digits of 549 is 49, now 49 is not divisible by 4 (because 49 is not a multiple of 4) so, 548 is not divisible by 4
Now we can see that the number 548 is divisible by 3 but not divisible by 4, so it is not divisible by 12.
-- (Satinder Gill)
Divisibility by 2
: any integer whose last digit is even means any number ending with 0, 2, 4, 6, 8, is divisible by 2. Example: look at the number 198, last digit in this number is 8, therefore 198 is divisible by 2. Some more examples for the divisibility by 2:Divisibility by 3
: A number is divisible by 3 if the sum of the digits of the number is a multiple of 3, means if the sum of digits is divisible by 3. Example: Suppose we need to check if the number 72 is divisible by 3 or not The digits of 72 are 7 and 2 sum of digits = \(7+2=9\) 9 is a multiple of 3 as \(9÷3=3\) So, 72 is divisible by 3 Some more examples for the divisibility by 3:Angles and their types- Lesson
Angle: The space between two intersecting lines or surfaces at or close to the point where they meet.
Adverbs
An adverb is a word that modifies a verb, an adjective or another adverb, expressing manner, place, time or degree or certainty . Learn more at Adverbs and its kinds:
Adverbs of Time
Adverbs of time tell us when an action happened, they also tell about how often and for how long the action happened Click to learn more:
Adverbs of Degree
Adverbs of degree tell us about the intensity of something means the degree or extent to which something happens Click to learn more: