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Untitled Quiz

Total questions: 83

Worksheet time: 1hrs 21mins

Name
Class
Date
1.

The Cartesian plane was named after the French mathematician ____________________.

a)

Rene Descartes

b)

Luis Cartesan

c)

Henre Poincare

d)

Blaise Pascal

2.

What do you call to the answer of addition?

(a)  

3.

The answer of subtraction is called (a)   .

4.

The absolute value of a certain number refers to the __________.

a)

Distance of that number from zero

b)

The number itself

c)

The reciprocal of that number

d)

The fraction form of that number

5.

All counting numbers are also whole numbers.

a)

TRUE

b)

FALSE

6.

All whole numbers are integers, but not all integers are whole numbers.

a)

TRUE

b)

FALSE

7.

It is also called as "rise over run".

a)

Slope

b)

Distance

c)

Displacement

d)

Intercept

8.

The product of a positive integer and a negative integer is always _________

a)

negative

b)

positive

c)

same with the larger one

d)

same with the smaller one

9.

What do you call the  mn\frac{m}{n}  of a number  nm\frac{n}{m}  ?

a)

Reciprocal

b)

Opposite

c)

Radical

d)

Product

10.

What do you call the type of fraction that has larger denominator than the numerator?

(a)  

11.

Perimeter of a rectangle

a)

2l+b

b)

l+2b

c)

2(l+b)

d)

2lb

12.

Find the area of a rhombus having each side equal to 13cm and one of whose diagonal is 24cm

a)

240

b)

120

c)

130

d)

156

13.

area of a rhombus

a)

(1/2)x product of diagonals

b)

product of diagonals

c)

sum of diagonals x height

d)

none of the above

14.

Find   dydx\frac{\text{d}y}{\text{d}x}  if y=  x2x^2  

a)

x2x^2  

b)

2x

c)

x

d)

2x22x^2  

15.
Find the second derivative of
f(x) = x2 + ex  - cosx
a)
f"(x) = 2 + ex + cosx
b)
f"(x) = 2x + ex + cosx
c)
f"(x) = 2x + xex - cosx
d)
f"(x) = 2x + ex + sinx
16.
Find the second derivative of
f(x) = x2 + ex  - cosx
a)
f"(x) = 2 + ex + cosx
b)
f"(x) = 2x + ex + cosx
c)
f"(x) = 2x + xex - cosx
d)
f"(x) = 2x + ex + sinx
17.
Find the derivative
f(t) = (t2 + 2t)5
a)
f'(t) = 5(2t+2)4
b)
f'(t) = 5(t2 + 2t)4
c)
 f'(t) = 5(t2 + 2t)4(2t)
d)
f'(t) = 5(t2 + 2t)4(2t + 2)
18.
Find the derivative.
 f(z) = 1/(3z2) + 4z3
a)
f'(z) = 6z3 + 12z2
b)
f'(z) = 6z + 12x2
c)
f'(z) =  -2/(3z3) + 12z2
d)
f'(z) = -6/z2 + 12z2
19.
Set up the derivative of y=(3x4 - 7)*(5x2 + 1)
a)
(12x3)*(10x)
b)
(3x4 - 7)*(10x) + (12x3)*(5x2 + 1)
c)
(3x4 - 7)*(10x) - (12x3)*(5x2 + 1)
d)
(3x4 - 7)/(10x) + (12x3)/(5x2 + 1)
20.
a)
A
b)
B
c)
C
d)
D
21.
a)
A
b)
B
c)
C
d)
D
22.
Find the derivative of g(x)=(3x-2)/(x2+2)
a)
9x2+2
b)
3(x2+2)/(x2+2)2
c)
(-3x2+4x +6)/(x2+2)2
d)
(-3x2+10)/(x2+2)2
23.
What is f'(x) if f(x) = cos(5x4)?
a)
f'(x) = sin(20x3)
b)
f'(x) = 20x3 sin(5x4)
c)
f'(x) = -sin(20x3)
d)
f'(x) = -20x3 sin(5x4)
24.

.

a)

(3x2-2)cos(x3-2x)

b)

-(3x2-2)cos(x3-2x)

c)

cos(2x2-2)

d)

sin(2x2-2)

25.
Sarah had a sheet of paper that was 3 inches long and 7 inches wide. What is the perimeter of the paper? 
a)
20 inches
b)
21 inches
c)
24 inches
d)
22 inches
26.

A rectangle has a perimeter of 16inches. One side measures 6 inches, what is the measurement of the unknown sides.

a)

4inches

b)

2inches

c)

1inch

d)

3inches

27.
What is the area?
a)
12 cm2
b)
14
c)
14 cm2
d)
24 cm2
28.
Penny's garden has a fountain in the middle that has a base of 5 in. and the height is 9 in. The garden around it has a base of 16 in. and the height is 5 in. What is the area of the garden? 
a)
80in
b)
35in2
c)
35cm2
d)
80in2
29.

What is An improper Fraction

a)

Numerator is smaller than denominator

b)

Has a whole number and a fraction

c)

A naughty fraction

d)

Denominator is smaller than the numerator

30.

What is a mixed number?

a)

A whole number and a fraction

b)

A fraction with a smaller Denominator

c)

A whole number and two fractions

d)

When two fractions are mixed

31.
Between which two whole numbers is the
√5?
a)
1 and 2
b)
2 and 3
c)
3 and 4
d)
4 and 5
32.
Between which two whole numbers is the square root of 277?
a)
15 and 16
b)
16 and 17
c)
18 and 19
d)
14 and 15
33.
The area of a square is 100 cm2.  What is the perimeter?
a)
25 cm
b)
10 cm
c)
40 cm
d)
50 cm
34.
The area of the square pool on your vacation was 260 ft2. Approximately how long was one side of the pool?
a)
17 ft
b)
18 ft
c)
16 ft
d)
15 ft
35.
The simple interest formula is I=Prt.  The P represents the principle.  The principle is ___________________.  
a)
the amount of money borrowed or deposited
b)
the percent interest for his year
c)
the amount taxed
d)
the amount the bank owes you for being a customer at their bank
36.
Jerry borrowed $4,000 for 5 years at 6% simple interest rate. How much interest is that?
a)
$800
b)
$1,000
c)
$1,200
d)
$1,500
37.
Your 3 year investment of $20,000 received 5.2% interest compounded annually.  What is your total return?
a)
$23,285.05
b)
$3,285.05
c)
$2,385
d)
$32,285
38.
You borrowed $1,690 for 5 1/2 years at an interest of 5.7% compounded annually.  How much extra did you pay by taking out the loan?
a)
$602.45
b)
$2,292.45
c)
$1,87.55
d)
$3,982.45
39.

I am between 50 and 60. I am a multiple of 7 and 8. Who am I?

a)

56

b)

58

c)

48

d)

49

40.

What is the other name of the perimeter of a Circle?

a)

diameter

b)

radius

c)

circumference

d)

area

41.

Who is known as ‘Human Computer’?

a)

Sir C.V. Raman

b)

Pythagorus

c)

Shakunthala Devi

d)

Archimedes

42.

Which is the only number that cannot be used as a divisor?

a)

1

b)

10

c)

100

d)

0

43.

What number should replace the question mark?

a)

17

b)

10

c)

12

d)

21

44.

How many lines appear below?

a)

9

b)

11

c)

13

d)

15

45.

What number should replace the question mark?

a)

2

b)

3

c)

4

d)

6

46.

What percentage of the figure is shaded?

a)

50%

b)

62.5%

c)

85%

d)

45.5%

47.

Which illustration doesn't belong with the others?

a)

triangle

b)

pentagon

c)

square

d)

octagon

48.

Which number finishes the sequence?

a)

128

b)

168

c)

148

d)

158

49.

What is an angle greater than 180 degrees but less than 360 degrees called?

a)

Right angle

b)

obtuse angle

c)

complete angle

d)

reflex angle

50.

How many seconds are there in one hour?

a)

1200 seconds

b)

3600 seconds

c)

1800 seconds

d)

4800 seconds

51.

What shape is a brick?

a)

cube

b)

cuboid

c)

sphere

d)

cone

52.

How many faces are there in a triangular pyramid?

a)

4

b)

5

c)

6

d)

8

53.

Which is the only even prime number?

a)

3

b)

8

c)

2

d)

7

54.

Which number is considered as Ramanujan Number?

a)

1829

b)

1729

c)

1929

d)

1629

55.

In which number system, there is no symbol for zero?

a)

Rational numbers

b)

Real numbers

c)

Roman numerals

d)

natural numbers

56.

What is the total number of dots on a dice?

a)

12

b)

16

c)

20

d)

21

57.

Who is known as the Prince of Indian Mathematics?

a)

Ramanujan

b)

Euclid

c)

Pythagorus

d)

Archimedes

58.

What number do you get when you multiply all of the numbers on a telephone number pad?

a)

362880

b)

0

c)

25631

d)

356288

59.

p → q p\ \rightarrow\ q\  is logically equivalent to

a)

∼q → p\sim q\ \rightarrow\ p  

b)

∼p → q\sim p\ \rightarrow\ q  

c)

∼ p ∧ q\sim\ p\ \wedge\ q  

d)

∼p ∨ q\sim p\ \vee\ q  

60.

In a finite state machine, m = (Q, Σ, δ, q0, F)\left(Q,\ \Sigma,\ \delta,\ q_{0,\ }F\right)  transition function δ\delta   is a function which maps

a)

Q → Σ xQQ\ \rightarrow\ \Sigma\ xQ  

b)

Qx Σ → QQx\ \Sigma\ \rightarrow\ Q  

c)

Q → FQ\ \rightarrow\ F  

d)

Qx q0 → ΣQx\ q_{0\ \rightarrow\ \Sigma}  

61.

Which of the following is not a well formed formula ?

a)

∀x [P(x) → f(X) ∧ x]\forall x\ \left[P\left(x\right)\ \rightarrow\ f\left(X\right)\ \wedge\ x\right]  

b)

∀x1 ∀x2 ∀x3 [(x1 = x2 ∧ x2 = x3) ⟹ x1 = x3]\forall x_{1\ }\forall x_{2\ }\forall x_{3\ }\left[\left(x_{1\ }=\ x_{2\ }\wedge\ x_2\ =\ x_3\right)\ \Longrightarrow\ x_1\ =\ x_3\right]  

c)

∼(p → q) → q\sim\left(p\ \rightarrow\ q\right)\ \rightarrow\ q  

d)

[T ∨ P(a,b)] → ∃zQ(z)\left[T\ \vee\ P\left(a,b\right)\right]\ \rightarrow\ \exists zQ\left(z\right)  

62.

The number of distinguishable permutations of the letters in the word BANANA are,

a)

60

b)

20

63.

Which of the following statement is the negation of the statement,

"2 is even and -3 is negative" ?

a)

2 is even and -3 is not negative

b)

2 is odd and -3 is not negative

c)

2 is even or -3 is not negative

d)

2 is odd or -3 is not negative

64.

if A x B = B x A, (where A and B are general matrices) then

a)

A =

b)

A = B'

c)

B = A

d)

A' = B

65.

A partial ordered relation is transitive, reflexive and

(a)  

66.

Let N = {1, 2, 3, ..... } be ordered by divisibility, which of the following subset is totally ordered,

a)

(2, 6, 24)

b)

(3, 5, 15)

c)

(2, 9, 16)

d)

(4, 15, 30)

67.

The minimized expression of ABC‾ + A ‾BC‾ + ABC‾  + ABC ‾isAB\overline{C}\ +\ \overline{A\ }B\overline{C}\ +\ A\overline{BC}\ \ +\ \overline{ABC\ }is  

a)

A +

b)

B‾C\overline{B}C  

c)

C ‾\overline{C\ }  

d)

C

68.

if f(x) = cos⁡ x and g (x) = x3 , then (f,g)(x) isf\left(x\right)\ =\ \cos\ x\ and\ g\ \left(x\right)\ =\ ^{x^3\ },\ then\ \left(f,g\right)\left(x\right)\ is  

a)

(cos⁡ x)3\left(\cos\ x\right)^3  

b)

cos 3 x

c)

x (cos⁡ x)3x\ ^{\left(\cos\ x\right)^3}  

d)

cos⁡ x3\cos\ x^3  

69.

What type of mathematical thinking involves the ability to image objects and pictures in the mind’s eye and to be able to mentally transform the positions and examine the properties of these objects/pictures?

a)

Spatial/Geometric Reasoning

b)

Logical/Scientific Reasoning

c)

Natural and Formal Mathematics

d)

Computational Reasoning

70.

This is part of the number system, including all the positive integers from 1 to infinity.

a)

Natural Numbers

b)

Integers

c)

Rational Numbers

d)

Irrational Numbers

71.

It is defined as a number with no decimal or fractional part, from the set of negative and positive numbers, including zero.

a)

Integers

b)

Real Numbers

c)

Fraction

d)

Rational Numbers

72.

What do you call the enumerated collection of objects in which repetitions are allowed and order matters. Like a set, it contains members (also called elements, or terms). The number of elements (possibly infinite) is called the length of the sequence.

a)

 Sequence

b)

Restriction

c)

Subsets

d)

Cardinality

73.

It is a set which contains all the elements or objects of other sets, including its own elements.

a)

Proper Sets

b)

Universal Sets

c)

Null Sets

d)

 Cardinality

74.

It refers to a number written in a certain order and used to show the position on a graph, where the "x" (horizontal) value is first, and the "y" (vertical) value is second.

a)

Ordered Pairs

b)

Composition of Function

c)

Elements

d)

Implication

75.

It is a steppingstone on the path to proving a theorem. A minor result whose sole purpose is to help in proving a theorem.

a)

Lemma

b)

Properties

c)

Subsets

d)

Corollary

76.

He is the Father of Logic.

a)

Aristotle

b)

Aryabhata

c)

Archimedes

d)

Andres Celsius

77.

It is a one-to-one correspondence (mapping) between two sets that preserves binary relationships between elements of the sets.

a)

Induction

b)

Isomorphism

c)

Peano Axioms

d)

Theorem

78.

It is defined as numbers that have real and imaginary numbers. This is also defined as real number whose imaginary part is 0.

a)

Complex Numbers

b)

Natural Numbers

c)

Number Systems

d)

Whole Numbers

79.

He is a mathematician who is most widely known for development of non-standard analysis, a mathematically rigorous system whereby infinitesimal and infinite numbers were reincorporated into modern mathematics.

a)

Abraham Harold Maslow 

b)

Abraham Wald

c)

Abraham De Moivre 

d)

Abraham Robinson

80.

These are a generalization of the natural numbers used to measure the cardinality of sets.

a)

Cardinal Numbers

b)

Infinitive

c)

Proper Subset

d)

Universal Set

81.

This word comes from a 17th-century Modern Latin coinage infinitesimus, which originally referred to the "infinity-th" item in a sequence.

a)

Infinity

b)

Infinitive

c)

Infinitesimal

d)

Infinite

82.

What do you call to a mathematical statement or property considered to be self-evidently true, but yet cannot be proven?

a)

Axioms

b)

Fractions

c)

Modulus

d)

Integers

83.

What is Godel's Theorem called?

a)

Ore's Theorem

b)

Optical Equivalence Theorem

c)

Incompleteness Theorem

d)

Ostrowski's Theorem