WORKSHEET #1
ARITHMETIC MANIPULATION
Question 1
1
2
3
4
5
6
14
15
16
7
8
9
10
11
17
18
19
20
12
13
Using the numbers given above:
(a) List all the even numbers
(b) List all the prime numbers
(c) List all the factors of 12 and 18
(d) State the H.C.F between 12 and 18
(e) List all the Multiples of 3 and 6
(f) State the L.C.M of 3 and 6
(g) List all the odd numbers
(h) List all the composite numbers
Question 2
(a) Determine whether the following group of numbers are either Natural numbers, Whole
numbers, Rational or Irrational numbers:
1. 8,0,2,5 ………
2. 0.355353, √2, √5 ………………
2 1 1
3. 3 , 2 , 8 …………………….
: _______________________________
: _______________________________
: _______________________________
4. 7, 4, 1, 9 …………………
: _______________________________
(b) Determine whether the following statements are True (T) or False (F):
1.
2.
3.
4.
5.
Integers are both Natural and Whole Numbers.
Rational and Irrational numbers are both Real Numbers.
1 is a Whole Number.
All Whole Numbers are Natural Numbers except 0.
-1, -6, -3, -7 are examples of Natural Numbers.
- ______
- ______
- ______
- ______
- ______
(c) Write the symbol used to represent for classification of Numbers:
1.
2.
3.
4.
5.
6.
WHOLE NUMBERS
INTEGERS
COUNTING NUMBERS
REAL NUMBERS
RATIONAL NUMBERS
IRRATIONAL NUMBERS
:_______
:_______
:_______
:_______
:_______
:_______
Question 3
(a) (i) Give the EXACT value of:
9.71 + 31.6
0.75 × 5.414
(ii) Give the answer from part (i) correct to 3 significant figures.
(iii) Give the answer from part (i) correct to 2 Decimal places.
(b) (i) The thickness of one sheet of cardboard is given as 485 × 10−2 𝑚𝑚. A farmer uses 75
sheets of the cardboard, stacked together to insulate a wall.
Show that the Exact thickness is 363.75mm
(ii) Write the thickness of the insulation correct to:
(a) 2 significant figures
(b) In standard form
Question 4
165 × (0.38)2
Give your answer for the above problem:
(a) As an EXACT value
(b) Correct to 2 decimal places
(c) Correct to 3 significant figures
(d) To the nearest Whole number
Question 5
Find the Values of the following problems:
(a) (31 – 6 – 16) + 14 x 5 + 6
(b) (42 ÷ 6 + 9) × 5 − 2
(c) 7 + 12 x 6 – (19 – 4)
(d) ((19 − 11) × 6) ÷ 12 − 3
(e) (23 − 9 − 8) ÷ 3 × 3
Question 6
Simplify the following fractions (Giving your answer both as an improper fraction and mixed
fraction):
1
2
5
1
3
4
1. 2 −
2. 2 ×
3.
3
5
4
1
5
− +
2
1
4. 1 − 2
7
1
5
3
4
3
2
7
1
2
5. 2 + − 3
6. 2 ÷ 4
9
3 2
2
4
3
7. (1 ) ÷ 3
4
3
1
2
Question 7
Simplify the following expressions:
1. 38 ÷ 34
2. 26 × 24
3. 35 ÷ 34 × 37
4. (22 )4
5. 70 − 71
6. 100 − 0 + 23 − 12