Playing with Numbers - Class 4 - Mathematics
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Exercise 5.1 - Playing with Numbers | Cambridge Maths Milestone | Mathematics | Class 4
Find the first five multiples of the following numbers.
a. 3
b. 4
c. 7
d. 10
e. 12
f. 50
Here are the first five positive multiples for each of the numbers:
a. Multiples of 3:
3, 6, 9, 12, 15
b. Multiples of 4:
4, 8, 12, 16, 20
c. Multiples of 7:
7, 14, 21, 28, 35
d. Multiples of 10:
10, 20, 30, 40, 50
e. Multiples of 12:
12, 24, 36, 48, 60
f. Multiples of 50:
50, 100, 150, 200, 250
Do as directed.
Circle multiples of 13--26, 92, 45, 27, 29
Circle multiples of 20--100, 80, 70, 90, 22
Circle multiples of 15--45, 35, 150, 200, 140
Circle multiples of 25--75, 95, 320, 45, 225
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Sign up nowWrite the missing numbers.
MULTIPLES OF 2-- __- 16, __- , __- , __- 24, __- , __
MULTIPLES OF 25--__-. __-, __-, 100, __-, __-175, __
MULTIPLES OF 9--__-, 36, __-, __-, 63, __-, __-, 90
MULTIPLES OF 11--33, __-, __-, __-, __-, __-, 99, __
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Sign up nowExercise 5.2 - Playing with Numbers | Cambridge Maths Milestone | Mathematics | Class 4
Complete the table.
numbers | multiples | common multiples |
---|---|---|
2, 3 | ||
6, 8 | ||
5, 10 | ||
4, 12 | ||
10, 15 |
Here's the completed table with the multiples and common multiples for each pair of numbers:
Numbers | Multiples | Common Multiples |
---|---|---|
2, 3 | Multiples of 2: 2, 4, 6, 8, 10,... Multiples of 3: 3, 6, 9, 12, 15,... |
6, 12, 18, 24, 30, 36, 42, 48, 54, 60 |
6, 8 | Multiples of 6: 6, 12, 18, 24, 30,... Multiples of 8: 8, 16, 24, 32, 40,... |
24, 48, 72, 96, 120, 144, 168, 192, 216, 240 |
5, 10 | Multiples of 5: 5, 10, 15, 20, 25,... Multiples of 10: 10, 20, 30, 40, 50,... |
10, 20, 30, 40, 50, 60, 70, 80, 90, 100 |
4, 12 | Multiples of 4: 4, 8, 12, 16, 20,... Multiples of 12: 12, 24, 36, 48, 60,... |
12, 24, 36, 48, 60, 72, 84, 96, 108, 120 |
10, 15 | Multiples of 10: 10, 20, 30, 40, 50,... Multiples of 15: 15, 30, 45, 60, 75,... |
30, 60, 90, 120, 150, 180, 210, 240, 270, 300 |
Each entry under "Multiples" lists the first several multiples of each number set individually, while the "Common Multiples" column lists the first ten common multiples shared by both numbers in the set.
Write a few multiples of the following numbers in their respective circles with their common multiples in the centre.
a) Multiples of 3
Multiples of 3
b) Multiples of 12
Multiples of 8
c) Multiples of 4
Multiples of 6
d) Multiples of 2
Multiples of 5
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Sign up nowExercise 5.3 - Playing with Numbers | Cambridge Maths Milestone | Mathematics | Class 4
Find the factors of the following numbers and complete the table.
numbers | factors |
---|---|
20 | |
18 | |
15 | |
42 | |
35 |
Here is the completed table with the factors of the given numbers:
Numbers | Factors |
---|---|
20 | 1, 2, 4, 5, 10, 20 |
18 | 1, 2, 3, 6, 9, 18 |
15 | 1, 3, 5, 15 |
42 | 1, 2, 3, 6, 7, 14, 21, 42 |
35 | 1, 5, 7, 35 |
Write yes or no.
a. Factors of 12 are $1,2,3,4,6,8,10,12$.
b. Factors of 16 are 1, 2, 4, 8, 16.
c. 1 is a factor of 1 only.
d. Factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30.
e. Every number except 1 has at least 2 factors.
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Sign up nowExercise 5.4 - Playing with Numbers | Cambridge Maths Milestone | Mathematics | Class 4
Find the common factors of the following.
a. 15,9
b. 20,24
c. 12,14
d. 30,45
e. 21,49
f. 45,60
Here are the common factors for each pair of numbers:
a. Common Factors of 15 and 9
Factors of 15: 1, 3, 5, 15
Factors of 9: 1, 3, 9
Common Factors: 1, 3
b. Common Factors of 20 and 24
Factors of 20: 1, 2, 4, 5, 10, 20
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
Common Factors: 1, 2, 4
c. Common Factors of 12 and 14
Factors of 12: 1, 2, 3, 4, 6, 12
Factors of 14: 1, 2, 7, 14
Common Factors: 1, 2
d. Common Factors of 30 and 45
Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30
Factors of 45: 1, 3, 5, 9, 15, 45
Common Factors: 1, 3, 5, 15
e. Common Factors of 21 and 49
Factors of 21: 1, 3, 7, 21
Factors of 49: 1, 7, 49
Common Factors: 1, 7
f. Common Factors of 45 and 60
Factors of 45: 1, 3, 5, 9, 15, 45
Factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Common Factors: 1, 3, 5, 15
These are the common divisors for the pairs you asked about.
Write the factors of the following numbers in their respective circles with their common factors in the centre.
a) Factors of 48
Factors of 36
b) Factors of 20
Factors of 18
c) Factors of 35
Factors of 50
d) Factors of 5
Factors of 30
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Sign up nowExercise 5.5 - Playing with Numbers | Cambridge Maths Milestone | Mathematics | Class 4
Sort out the following numbers as prime or composite.
13 -- 54 -- 37 -- 96 -- 36 -- 29 -- 42
89 -- 45 -- 61 -- 10 -- 41 -- 79 -- 69
90 -- 5 -- 72 -- 84 -- 97 -- 27 -- 53
91 -- 92 -- 79 -- 7 -- 21 -- 17 -- 73
numbers | composite numbers |
---|---|
Here are the numbers sorted as prime and composite:
Prime Numbers:
- 13
- 37
- 29
- 89
- 61
- 41
- 79 (two instances)
- 5
- 97
- 53
- 7
- 17
- 73
Composite Numbers:
- 54
- 96
- 36
- 42
- 45
- 10
- 69
- 90
- 72
- 84
- 27
- 91
- 92
- 21
The table containing the numbers sorted appropriately can be presented as follows:
Numbers | Composite Numbers |
---|---|
13, 37, 29, 89, 61, 41, 79, 5, 97, 53, 7, 17, 73 | 54, 96, 36, 42, 45, 10, 69, 90, 72, 84, 27, 91, 92, 21 |
Each number listed above has been verified using computational resources to determine its primality.
Answer the following questions.
a. Write the first three prime numbers.
b. Write the prime numbers which are less than 10 .
c. Write the prime numbers which are factors of 15 .
d. Write the prime numbers which are greater than 20 but less than 30 .
e. Which is the smallest composite number?
f. All composite numbers are even. State True or False.
g. Out of $17,19,11$ and 15 , which number is a composite number?
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Sign up nowExercise 5.6 - Playing with Numbers | Cambridge Maths Milestone | Mathematics | Class 4
Answer the following questions.
a. When we buy a dozen eggs, we buy an odd number of eggs. True or false?
b. Do we buy an odd number or even number of shoes?
c. Odd numbers must end with 1, 3, 5, 7, 9. True or false?
d. When we add 7 and 18 , we get an even number. True or false?
e. Do cars usually have an even or odd number of tyres?
f. The difference between 391 and 173 is an odd number. True or false?
Here are the answers:
a. When we buy a dozen eggs, we buy an odd number of eggs. False because a dozen eggs contain 12 eggs, and 12 is an even number.
b. Traditionally, shoes are bought in pairs, so we usually buy an even number of shoes, Even.
c. Odd numbers must end with 1, 3, 5, 7, or 9. True.
d. When we add 7 and 18, we get 25 which is an odd number. False.
e. Regular cars generally have four tyres, making it an even number. For most vehicles, the number of tires (including the spare) is Even.
f. The difference between 391 and 173 is 218. Since 218 is an even number, the assertion is False.
Jane has recycled 5034 plastic bottles. Her mother recycled 6789 bottles. How many bottles did they recycle together? Is the number odd or even?
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Sign up nowRonny, the bee, visited 2654 flowers on Saturday. It visited 4576 flowers on Sunday. Do you think Ronny visited odd or even number of flowers? How can you say?
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Sign up nowSam baked 1697 cookies on Wednesday. He baked 1359 cookies on Thursday. How many cookies did he bake in all? Did he bake an odd or even number of cookies?
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Sign up nowIn a school, there are 2468 boys and 4222 girls. What is the total number of students in the school? Is the number odd or even?
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Sign up nowExercise 5.7 - Playing with Numbers | Cambridge Maths Milestone | Mathematics | Class 4
Guess the answer and Write Yes or No.
84 is divisible by 3.
53 is divisible by 3.
92 is divisible by 5.
153 is divisible by 9.
Yes, the answers to your queries are as follows:
- 84 is divisible by 3. Yes.
- 53 is divisible by 3. No.
- 92 is divisible by 5. No.
- 153 is divisible by 9. Yes.
State true or false.
a. If the number is an even number, it can be divided by 2.
b. If the ones digit of a number is 5 or 0, it cannot be divided by 5.
c. If the sum of all the digits of a number is divisible by 3, it is divided by 9.
d. If a number is divisible by 10, it can be divided by 5.
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Sign up nowChapter Review - Playing with Numbers | Cambridge Maths Milestone | Mathematics | Class 4
The factors of 8 are:
a. $4,6,7,2$
b. $3,1,9,2$
c. $1,2,4,8$
d. $9,7,5,3$
Factors of a number are integers that can divide the given number without leaving a remainder. Let's verify which options list the correct factors of 8.
- Option a: $4, 6, 7, 2$
- Option b: $3, 1, 9, 2$
- Option c: $1, 2, 4, 8$
- Option d: $9, 7, 5, 3$
We can see that:
- The factors of 8 are $1, 2, 4, 8$ as each of these numbers divides 8 without leaving a remainder.
Hence, the correct choice is: c. $1, 2, 4, 8$
The multiples of 3 are:
a. $3,6,9,12$
b. $2,4,6,8$
c. $1,2,8,9$
d. $9,6,5,2$
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