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Worksheets

Mathematics

Total questions: 20

Worksheet time: 46mins

Name
Class
Date
1.

What does this symbol ( ∪ ) represent in set theory?

a)

Union

b)

Intersection

c)

Disjointed

d)

Subset

2.

What is {2,4,6,8,10} in set builder notation?

a)

{x| x=2n-1, n<5, n ∈\in N}

b)

{x| x=2n, n>5, n ∈\in  N}

c)

{x| x=2n, n<5, n ∈\in N}

3.
What are the dimensions of this matrix?
a)
2 x 3
b)
3 x 2
c)
6 x 1
d)
1 x 6
4.

Write {x| x<13, x ∈\in N} in roster form.

4 lines
5.
a)

8

b)

-24

c)

24

d)

-22

6.

Which one is the same as fοg(x)

a)

g(f(x))

b)

f(g(x))

7.
Given f(x) = 3x + 10
and g(x) = x - 2
Find f(g(5))
a)

19

b)

23

c)

-10

d)

None of these.

8.
Given that f(x) = x2 + x and g(x) = 3x + 1, find the value of g(f(-2)).
a)

-14

b)

20

c)

6

d)

7

9.
Multiply
a)
20     15    -10
30     -5         0
b)
-20      15     -10
30     -5          0
c)
1        8       3
11     4        5
d)
20     -15     10
-30         5        0  
10.

Given:

f(x) = 2x

g(x) = x2 + 3

Find f(g(3))

a)

24

b)

72

c)

18

d)

3

11.
What is a Matrix?
a)

An equation of over 5 numbers or symbols 

b)

A set of numbers in rows and columns

c)

A method of finding the nth value of a series

d)

A complicated number system

12.

If f(x) = 9x + 21; find f(-2)

a)

-18

b)

-2

c)

3

d)

39

13.
Subtract
a)
-5
-8
3
10
b)
-9
8
3
2
c)
5
-8
3
10
d)
-5
8
3
2
14.

If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7}, what is A ∩ B?

a)

{3, 5, 7}

b)

{2, 3, 5, 7}

c)

{2, 3, 5, 7, 9}

d)

{1, 2, 3, 5, 7, 9}

15.
What must be true in order to ADD two matrices?
a)

They must be square.

b)

The dimensions must be equal.

c)

The determinant can't equal 0.

d)

The column of the 1st must equal the row of the 2nd.

16.
Add
a)

11    8 -4     2

b)

3     2 -6    -6

c)

-3    2 -4    -6

d)

10    8 -6    2

17.
What do w, x, y and z equal in this matrix subtraction?
a)

w = 13, x = 4, y = 7, z = 23

b)

w = 13, x = -4, y = 11, z = 23

c)

w = 13, x = 4, y = 11, z = 23

d)

w = 13, x = 4, y = 11, z = 17

18.

Evaluate the determinant. Type the answer in the space given. (Type the number ONLY.)

(a)  

19.

1. which of the following is correct

a)

determinants is a square matrix

b)

determinants is a number associated to a matrix

c)

determinants is a number associated to a square matrix

d)

none of these

20.

Evaluate the determinant. Type the answer in the space given. (Type the number ONLY.)

(a)