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Whole Numbers
1. Study the number line below and complete it by adding 10 each time. The first two numbers have
been filled in for you.
6 000 6 010
2. Fill in, on the number line below, the number which is halfway between 27 640 and 27 650.
27 640
3. Here is a chart showing the heights of some of the mountains in South Africa. Look at it and then
answer the questions below.
Mountain Height (m) Range Where found
Thabana Ntlenyana 3 482 m Drakensberg Lesotho
Table Mountain 1 084 m Cape Fold Mountain Range Western Cape
Thaba Putsoa 3 455 m Drakensberg Lesotho
Formosa Peak 1 675 m Tsitsikamma Eastern Cape
Makheka 3 463 m Drakensberg Lesotho
a) Write the heights of the mountains from the highest to the lowest.
.....................................................................................................................................................
b) The highest mountain in South Africa is shown on the chart. Which one is it?
..........................................
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c) What is the difference between the highest and lowest mountains shown on the chart?
d) What is the difference in height between Formosa Peak and Table Mountain?
e) What mountain is shown in the picture and in which city is it found?
............................................................................................................
4. Make the largest possible number possible number with the digits 4, 8, 0, 2, 3. .............................
5. What is the next number after 9 999? .......................
6. Complete this table by rounding off each number as needed.
Number Rounded to the nearest
5 10 100 1 000 10 000
32
1 327
23 502
18 679
568 135
7. Write out the first 10 multiples of 7.
.............................................................................................................................................................
8. Example: The factor pairs of 20 are 1 and 20, 2 and 10 and 5 and 4.
Find all the factors of 28 by writing them out as factor pairs. ............................................................
9. From this list: 2, 3, 4, 5, 6, 7, 8, 9, 10, pick out:
a) The even numbers ................
b) The square numbers ...................
c) The cube numbers ........................
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d) The odd numbers ..............................
e) The triangular numbers ..........................
10. Write down:
a) All the factors of 8 .................................
b) All the factors of 12 .............................
c) The highest common factor or HCF of 8 and 12 ..............................
d) The first 5 multiples of 6. .............................................
e) The first 5 multiples of 8. ..........................................................
f) The lowest common multiple of 6 and 8 is. ...........................
g) The prime factors of 12. .......................................
h) The first 10 prime numbers. ................................
i) i) 16 as a multiple of its prime factors. ..........................
ii) Now write the answer in exponential notation. ......................................
j) The only even prime number. ...........................................
11. Find the highest common factor of:
a) 45 and 60 ...........................
b) 16 and 22 ...........................
c) 25 and 45 ...........................
d) 28 and 42 ...........................
e) 27 and 36 ...........................
f) 36 and 96 ...........................
Example: Use a factor tree or division ladder to show 36 as a product of its prime numbers
and then write it in exponential form:
36 = 2 X 2 X 3 X 3 written in exponential form 36 = 2² X 3²
Whole Numbers
1. Study the number line below and complete it by adding 10 each time. The first two numbers have
been filled in for you.
6 000 6 010
2. Fill in, on the number line below, the number which is halfway between 27 640 and 27 650.
27 640
3. Here is a chart showing the heights of some of the mountains in South Africa. Look at it and then
answer the questions below.
Mountain Height (m) Range Where found
Thabana Ntlenyana 3 482 m Drakensberg Lesotho
Table Mountain 1 084 m Cape Fold Mountain Range Western Cape
Thaba Putsoa 3 455 m Drakensberg Lesotho
Formosa Peak 1 675 m Tsitsikamma Eastern Cape
Makheka 3 463 m Drakensberg Lesotho
a) Write the heights of the mountains from the highest to the lowest.
.....................................................................................................................................................
b) The highest mountain in South Africa is shown on the chart. Which one is it?
..........................................
, 2
c) What is the difference between the highest and lowest mountains shown on the chart?
d) What is the difference in height between Formosa Peak and Table Mountain?
e) What mountain is shown in the picture and in which city is it found?
............................................................................................................
4. Make the largest possible number possible number with the digits 4, 8, 0, 2, 3. .............................
5. What is the next number after 9 999? .......................
6. Complete this table by rounding off each number as needed.
Number Rounded to the nearest
5 10 100 1 000 10 000
32
1 327
23 502
18 679
568 135
7. Write out the first 10 multiples of 7.
.............................................................................................................................................................
8. Example: The factor pairs of 20 are 1 and 20, 2 and 10 and 5 and 4.
Find all the factors of 28 by writing them out as factor pairs. ............................................................
9. From this list: 2, 3, 4, 5, 6, 7, 8, 9, 10, pick out:
a) The even numbers ................
b) The square numbers ...................
c) The cube numbers ........................
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d) The odd numbers ..............................
e) The triangular numbers ..........................
10. Write down:
a) All the factors of 8 .................................
b) All the factors of 12 .............................
c) The highest common factor or HCF of 8 and 12 ..............................
d) The first 5 multiples of 6. .............................................
e) The first 5 multiples of 8. ..........................................................
f) The lowest common multiple of 6 and 8 is. ...........................
g) The prime factors of 12. .......................................
h) The first 10 prime numbers. ................................
i) i) 16 as a multiple of its prime factors. ..........................
ii) Now write the answer in exponential notation. ......................................
j) The only even prime number. ...........................................
11. Find the highest common factor of:
a) 45 and 60 ...........................
b) 16 and 22 ...........................
c) 25 and 45 ...........................
d) 28 and 42 ...........................
e) 27 and 36 ...........................
f) 36 and 96 ...........................
Example: Use a factor tree or division ladder to show 36 as a product of its prime numbers
and then write it in exponential form:
36 = 2 X 2 X 3 X 3 written in exponential form 36 = 2² X 3²
