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11 maths august month test

Total questions: 50

Worksheet time: 2hrs 6mins

Name
Class
Date
1.

The number of relations on a set containing 3 elements is.......

a)

9

b)

81

c)

512

d)

1024

2.

If A= {(x,y) : y=sin x, x∈R }and B={(x,y) : y=cos x, x∈R } then A∩B Contains

a)

no element

b)

infinitely many elements

c)

only one element

d)

cannot be determined

3.

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}

4.

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}

5.

The Universal Set = { -4, -3, -2, -1, 0, 1, 2, 3 ,4} and A = {0}.

What is the complement of A?

a)

{-4, -3, -2, -1, 0, 1, 2, 3}

b)

{-3, -2, -1, 1, 2, 3}

c)

{-4, -3, -2, -1, 1, 2, 3, 4}

d)

{-4, -3, -2, -1, 1, 2, 3}

6.

If

P = {0, 1, 2, 3, 4}, Q = {4, 5, 6, 7}

R = {3, 6, 9}, and S = {6, 12, 18}

Then what is (P ∪ Q) ∩ (S ∪ R)?

a)

{6}

b)

{3, 6}

c)

{4, 6}

d)

{1, 2, 3, 4, 5, 6, 7, 9, 12, 18}

7.

If

P = {0, 1, 2, 3, 4}, Q = {4, 5, 6, 7}

R = {3, 6, 9}, and S = {6, 12, 18}

Then what is (P -Q)

a)

{6}

b)

{0,1,2,3}

c)

{4, 6}

d)

{1, 2, 3, 4, 5, 6, 7, 9, 12, 18}

8.

If

P = {0, 1, 2, 3, 4}, Q = {4, 5, 6, 7}

R = {3, 6, 9}, and S = {6, 12, 18}

Then what is (P ∆ S)=

a)

{6}

b)

{3, 6}

c)

{4, 6}

d)

{0,1,2,3,4,6,12,18}

9.

Which of the following represents the shaded region?

a)

A union B

b)

A intersect B

c)

A ⊂ B

d)

B ⊂ A

10.
Given that
R = { factors of  36 }. 
n(R) = 
a)
6
b)
9
c)
12
d)
15
11.
Given  S = { m, 4, 7, 9 }  and 
T = { 4, 9, 3, n }. 
If set  S  and set  T  are equal sets,
the   value of  m + n =
a)
14
b)
12
c)
10
d)
8
12.
Given that
set  V = { m, n, o, p },
find the number of subsets  V.
a)
16
b)
12
c)
10
d)
8
13.
Find n(A) when
A = {14, 16, 18, 20, 22,
24}
a)
6
b)
12
c)
4
d)
8
14.

Sin[3π/2 - θ]=

a)

cosθ

b)

sinθ

c)

-cosθ

d)

-sinθ

15.
If every element in set A is also in set B, then...
a)
A is a subset of B
b)
B is a subset of A
c)
A = B
d)
A and B are disjoint
16.

Determine if these two sets are equal or equivalent.

A = {2, 6, 10, 14}

B = {6, 2, 14, 16}

a)

Equal

b)

Equivalent

17.

List the elements of A Ո B

a)

{5,9}

b)

{2,3,7,6,8}

c)

{2,3,5,9,7,6,8}

d)

{1,4}

18.

List the elements of (A U B)'

a)

{1,4}

b)

{2,3,5,6,7,8,9}

c)

{2,3,6,7,8}

d)

{5,9}

19.

Determine if these two sets are equal or equivalent.

A = {2, 6, 10, 14}

B = {6, 2, 14, 16}

a)

Equal

b)

Equivalent

20.

Solve y = mx + b for x

a)

x = (y-b)/m

b)

x = y/m - b

21.
Solve 3(x + 2) = 18
a)
x  = 3
b)
x = 6
c)
x = 5
d)
x = 4
22.
Solve
10x - 2 = 7x + 10
a)
x = 2
b)
x = 3
c)
x = 4
d)
x = 5
23.

Solve

(((256)⁻¹/²)⁻¹/⁴)³

a)

8

b)

1/8

c)

-1/8

d)

-8

24.

cos3A=

a)

4cosA-3cos³A

b)

4cos³A-3cosA

c)

4COS³A+3cosA

d)

3SinA- 4sin³A

25.

square root of 7-4√3

a)

2-√3

b)

2+√3

c)

-2+√3

d)

-2-√3

26.
Solve     -5t + 9 = 24
a)
-3
b)
3
c)
12
27.
S = 3F - 24  Solve for F
a)
F = (S + 24)/3
b)
F = S/3 + 24
c)
F = 3S + 24
d)
F = 3(S + 24)
28.
Solve:
2x + 1 = 2x - 1
a)
No Solution
b)
x = 0
c)
Infinitely Many Solutions
29.

If the functions f:(-3,3)→S defined by f(x)= x² is on to then S is

a)

[-9,9]

b)

R

c)

[-3,3]

d)

[0,9]

30.

How many solutions does this equation have? 3x²-6x+2=0

a)

One Solution

b)

No Solution

c)

two solutions

31.
How many solutions does this equation have?  3x -20 = 3x + 2
a)
One Solution
b)
No Solution
c)
Infinite Solutions
32.

sinx > 1/2

a)

x>π/3

b)

x>π/6

c)

x>π/2

d)

x>π

33.

The number of solutions of x²+ |x-1 |=1 is

a)

1

b)

0

c)

2

d)

3

34.

If 3 is the logarthim of 343 then the base is....

a)

5

b)

7

c)

6

d)

9

35.

One of roots of the equation x²-6x-8=0

a)

x = 3

b)

x = -2

c)

x = 5

d)

x = 4

36.

The number of real roots of (x+3)⁴+(x+5)⁴=16 is

a)

4

b)

2

c)

3

d)

0

37.

If a and b are the roots of the equation x²-kx+16=0 satisfy a²+b²=32 then the value of k is

a)

10

b)

-8

c)

k=±8

d)

6

38.

The value of ˡᵒᵍ √2 ⁵¹² is

a)

16

b)

18

c)

9

d)

12

39.

If f(θ)= |sinθ |+ |cosθ |, θ∈R then f(θ) is in the interval

a)

|0,2 |

b)

|1,√2 |

c)

|1,2 |

d)

|0,1 |

40.

If sinα+cosα=b then sin2α is equal to

a)

b²-1 if b≤√2

b)

b²-1 if b>√2

c)

b²-1 if b≥1

d)

b²-1 if b≥√2

41.

The maximum value of 4sin²x+3cos²x+sinx/2+cosx/2 is

a)

4+√2

b)

3+√2

c)

9

d)

4

42.

1/cos80º -√3 /sin80º=

a)

√2

b)

√3

c)

2

d)

4

43.

cos1º+cos2º+cos3º+.......+cos179º=

a)

0

b)

1

c)

-1

d)

89

44.

which of the following is not true?

a)

sinθ=-3/4

b)

cosθ=-1

c)

tanθ=25

d)

secθ=1/4

45.

sin(1440º)=

a)

0

b)

1

c)

-1

d)

1√2

46.

What does If π<2θ<3π/2 then √2+√2+2cos4θ) equals to

a)

-2cosθ

b)

-2sinθ

c)

2cosθ

d)

2sinθ

47.

X= {1,2,3,4} and R={(1,1),(1,2),(1,3),(2,2),(3,3),(2,1)(3,1),(1,4),(4,1)} then R is

a)

reflexive

b)

symmetric

c)

transitive

d)

eqivalance relation

48.

The range of the function 1/1-2sinx

a)

(-∞,-1)∪(1/3, ∞)

b)

(-1,1/3)

c)

[-1,1/3]

d)

(-∞,-1)∪(1/3,∞)

49.

The number of relations on a set containing 3 elements

a)

9

b)

81

c)

512

d)

1024

50.

The function f:[0,2π]⇒[-1,1] defined by f(x)=sinx is

a)

one to one

b)

on to

c)

bijection

d)

cannot be defined