Name:
Answer the following questions in your book:
1.
Write down all the numbers from 20 to 40 and study them carefully.
a) How many numbers did you write down?
*The chance or probability that a type of number is chosen is the total of that type of
number divided by all the numbers available. For example, the chance of choosing 20
will be 1 twenty out of 20 choices or 1/20.
b) What is the chance of choosing an even number?
c) What is the chance of choosing an odd number?
d) What is the chance of choosing a multiple of 4?
e) What is the chance of choosing a multiple of 7?
f ) What is the chance of choosing a factor of 50?
g) What is the chance of choosing a factor of 120?
h) What is the chance of choosing a number less than 25?
i)
What is the chance of choosing a number less than 20?
j)
What is the chance of choosing a number greater than 43?
k) What is the chance of choosing a prime number?
2.
Write down all the factors of 560 and study them carefully before answering the following questions:
a) How many factors of 560 are there?
b) What is the chance of choosing an even number?
c) What is the chance of choosing an odd number?
d) What is the chance of choosing a multiple of 10?
e) What is the chance of choosing a multiple of 7?
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GRADE 7
Grade 7 Term 1: Data Handling - Probability and whole numbers
Whole numbers probability – Multiples and Factors
f ) What is the chance of choosing a factor of 500?
g) What is the chance of choosing a factor of 80?
h) What is the chance of choosing a number less than 25?
i)
What is the chance of choosing a number less than 10?
j)
What is the chance of choosing a number greater than 45?
k) What is the chance of choosing a prime number?
3.
Write down the first 12 multiples of 4 and study them carefully before answering the questions that follow.
a) What is the chance of choosing an even number?
b) What is the chance of choosing an odd number?
c) What is the chance of choosing a multiple of 10?
d) What is the chance of choosing a multiple of 8?
e) What is the chance of choosing a factor of 36?
f ) What is the chance of choosing a factor of 72?
g) What is the chance of choosing a number less than 25?
h) What is the chance of choosing a number less than 10?
i)
What is the chance of choosing a number greater than 40?
j)
What is the chance of choosing a prime number?
4.
Write down all the factors 952 and study them carefully before answering the questions that follow.
a) What is the chance of choosing an even number?
b) What is the chance of choosing an odd number?
c) What is the chance of choosing a multiple of 17?
d) What is the chance of choosing a multiple of 6?
e) What is the chance of choosing a factor of 136?
© e-classroom 2015 www.e-classroom.co.za
GRADE 7
Grade 7 Term 1: Data Handling - Probability and whole numbers
Whole numbers probability – Multiples and Factors
f ) What is the chance of choosing a factor of 56?
g) What is the chance of choosing a number less than 25?
h) What is the chance of choosing a number less than 70?
i)
What is the chance of choosing a number greater than 80?
j)
What is the chance of choosing a prime number?
5.
Write down the first 12 multiples of 15 and study them carefully before answering the questions that follow.
a) What is the chance of choosing an even number?
b) What is the chance of choosing an odd number?
c) What is the chance of choosing a multiple of 60?
d) What is the chance of choosing a multiple of 12?
e) What is the chance of choosing a factor of 45?
f ) What is the chance of choosing a factor of 100?
g) What is the chance of choosing a number less than 100?
h) What is the chance of choosing a number less than 200?
i)
What is the chance of choosing a number greater than 300?
j)
What is the chance of choosing a prime number?
© e-classroom 2015 www.e-classroom.co.za
GRADE 7
Grade 7 Term 1: Data Handling - Probability and whole numbers
Whole numbers probability – Multiples and Factors
GRADE 7
Answer the following questions in your book:
1.
Write down all the numbers from 20 to 40 and study them carefully.
202122232425262728293031323334
353637383940
a)
How many numbers did you write down? 21
*The chance or probability that a type of number is chosen is the total of that type of
number divided by all the numbers available. For example, the chance of choosing 20
will be 1 twenty out of 20 choices or 1/20.
b) What is the chance of choosing an even number?
11/21
c)
10/21
d) What is the chance of choosing a multiple of 4?
What is the chance of choosing an odd number?
Multiples of 4 from 20:
What is the chance of choosing a multiple of 7?
e)
20, 24, 28, 32, 36, 40 6/21
Multiples of 7 from 20:21, 28, 353/21
f )
What is the chance of choosing a factor of 50?
Factors of 50:
1, 2, 5, 10, 25, 501/21
g) What is the chance of choosing a factor of 120?
Factors of 120:1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
4/21
h) What is the chance of choosing a number less than 25?
5/21
i)
0/21 or 0
What is the chance of choosing a number less than 20?
Because there are no numbers less than 20 in the list
What is the chance of choosing a number greater than 43?
j)
Because there are no numbers greater than 43 in the list.
What is the chance of choosing a prime number?
k)
0/21 or 0
4/21
Prime numbers: 23, 29, 31, and 37
© e-classroom 2015 www.e-classroom.co.za
Grade 7 Term 1: Data Handling - Probability and whole numbers
Answer sheet
GRADE 7
2.
Write down all the factors of 560 and study them carefully before answering the following questions:
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
a)
b) What is the chance of choosing an even number?
16/20
c)
What is the chance of choosing an odd number?
4/20
d) What is the chance of choosing a multiple of 10?
8/20
Multiples of 10: 10, 20, 40, 70, 80, 140, 280, 560
What is the chance of choosing a multiple of 7?
e)
Multiples of 7:
What is the chance of choosing a factor of 500?
f )
20
How many factors of 560 are there?
6/20 10/20
7, 14, 28, 35, 56, 70, 112, 140, 280, 560
Factors of 500:
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
g) What is the chance of choosing a factor of 80?
10/20 Factors of 80:
1, 2, 4, 5, 8, 10, 16, 20, 40, 80
h) What is the chance of choosing a number less than 25?
10/20
i)
What is the chance of choosing a number less than 10?
6/20
j)
What is the chance of choosing a number greater than 45?
7/20
k)
What is the chance of choosing a prime number?
3/20
3.
Write down the first 12 multiples of 4 and study them carefully before answering the questions that follow.
4 8 12162024283236404448
a)
What is the chance of choosing an even number?
12/12 or 1
b) What is the chance of choosing an odd number?
0/12 or 0
Every number in the list is an even number.
There are no odd numbers in the list.
c) What is the chance of choosing a multiple of 10?
Multiples of 10 in the list: 20, 40
so 2/12
© e-classroom 2015 www.e-classroom.co.za
Grade 7 Term 1: Data Handling - Probability and whole numbers
Answer sheet
GRADE 7
d) What is the chance of choosing a multiple of 8?
8, 16, 24, 32, 40, 48
so 6/12
e) What is the chance of choosing a factor of 36?
Multiples of 8 in the list:
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
so 3/12
f ) What is the chance of choosing a factor of 72?
Factors of 72: 1,2,3,4, 6, 8, 9, 12, 18, 24, 36, 72
so 5/12
g) What is the chance of choosing a number less than 25?
6/12
h) What is the chance of choosing a number less than 10?
2/12
i)
What is the chance of choosing a number greater than 40?
2/12
j)
What is the chance of choosing a prime number?
0/12 or 0
There are no prime numbers as these are all multiples of 4 (which is also not a prime
number).
4.
Write down all the factors 952 and study them carefully before answering the questions that follow.
1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
a) What is the chance of choosing an even number?
12/16
b) What is the chance of choosing an odd number?
4/16
c) What is the chance of choosing a multiple of 17?
d) What is the chance of choosing a multiple of 6?
Multiples of 6 in the list: none 0/16
e) What is the chance of choosing a factor of 136?
Multiples of 17 in the list: 17, 34, 68, 119, 136, 238, 476, 952 so 8/16
Factors of 136:
1, 2, 4, 8, 17, 34, 68, 136
8/16
f ) What is the chance of choosing a factor of 56?
Factors of 56: 1, 2, 4, 7, 8, 14, 28, 56
8/16
g) What is the chance of choosing a number less than 25? 7/16
h) What is the chance of choosing a number less than 70? 11/16
© e-classroom 2015 www.e-classroom.co.za
Grade 7 Term 1: Data Handling - Probability and whole numbers
Answer sheet
GRADE 7
i)
What is the chance of choosing a number greater than 80?
5/16
j)
What is the chance of choosing a prime number?
3/16
5.
Write down the first 12 multiples of 15 and study them carefully before answering the questions that follow.
15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180
a) What is the chance of choosing an even number?
6/12
b) What is the chance of choosing an odd number?
6/12
c) What is the chance of choosing a multiple of 60?
3/12
d) What is the chance of choosing a multiple of 12?
3/12
e) What is the chance of choosing a factor of 45?
Factors of 45: 1, 3, 5, 9, 15, 45 2/12
f ) What is the chance of choosing a factor of 100?
Factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100 0/12 or 0
g) What is the chance of choosing a number less than 100? 6/12
h) What is the chance of choosing a number less than 200? 12/12 or 1
i)
What is the chance of choosing a number greater than 300? 0/12 or 0
j)
What is the chance of choosing a prime number?
All the numbers on the list of multiples of 15, and 15 is not a prime number either.
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www.e-classroom.co.za
Grade 7 Term 1: Data Handling - Probability and whole numbers
Answer sheet