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Worksheets

MMW - Chapter 2

Total questions: 86

Worksheet time: 4hrs 18mins

Name
Class
Date
1.

Identify the type of mathematical speech this symbol belongs to:

π

(a)  

2.

Identify the type of mathematical speech this symbol belongs to:

A'

(a)  

3.

Identify the type of mathematical speech this symbol belongs to:

| 7 | (absolute value)

(a)  

4.

Identify the type of mathematical speech this symbol belongs to:

3.2 x 10^6

(a)  

5.

Identify the type of mathematical speech this symbol belongs to:

3!

(a)  

6.

Identify the type of mathematical speech this symbol belongs to:



(a)  

7.

Identify the type of mathematical speech this symbol belongs to:

[ ]

(a)  

8.

Identify the type of mathematical speech this symbol belongs to:

'x' in 2x+4

(a)  

9.

Identify the type of mathematical speech this symbol belongs to:



(a)  

10.

Identify the type of mathematical speech this symbol belongs to:

⊥ (perpendicular to)

(a)  

11.

Identify the type of mathematical speech this symbol belongs to:

{ }

(a)  

12.

Identify the type of mathematical speech this symbol belongs to:

nCk (combination)

(a)  

13.

Identify the type of mathematical speech this symbol belongs to:

VIII

(a)  

14.

Identify the type of mathematical speech this symbol belongs to:

B'

(a)  

15.

Identify the type of mathematical speech this symbol belongs to:



(a)  

16.

Identify the type of mathematical speech this symbol belongs to:

<90 (angle)

(a)  

17.

Identify the type of mathematical speech this symbol belongs to:

Σ (sigma/summation notation)

(a)  

18.

Identify the type of mathematical speech this symbol belongs to:

⊄ not a proper subset

(a)  

19.

Identify the type of mathematical speech this symbol belongs to:

Δ (delta in sets)

(a)  

20.

Identify the type of mathematical speech this symbol belongs to: (input ONLY ONE)

--- horizontal as in a/b

(a)  

21.

Writing word phrases to mathematical questions:

Eleven greater than a number

(a)  

22.

Writing word phrases to mathematical questions:

Eleven is greater than a number

(a)  

23.

Writing word phrases to mathematical questions:

A number decreased by 7

(a)  

24.

Writing word phrases to mathematical questions:

7 less than a number

(a)  

25.

Writing word phrases to mathematical questions:

Half of 20

(a)  

26.

Writing word phrases to mathematical questions:

Two numbers with a sum of 10

(a)  

27.

Writing word phrases to mathematical questions:

The sum of three consecutive even integers

(a)  

28.

Writing word phrases to mathematical questions:

85% of selling price

(a)  

29.

Writing word phrases to mathematical questions:

The distance travelled in 3 hours at x mile per hour

(a)  

30.

Writing word phrases to mathematical questions:

The perimeter of the rectangle if the width is x feet and the length is 5 feet longer than the width

(a)  

31.

Writing word phrases to mathematical questions:

The volume of the cube is the product of its length, width, height

(a)  

32.

Writing word phrases to mathematical questions:

In an area of the rectangle, the Length of the Floor is 8 m longer than its width and there is 20 square meters.

(a)  

33.

The standard notation (letter) for: "A set of natural numbers"

(a)  

34.

The standard notation (letter) for: "A set of whole numbers"

(a)  

35.

The standard notation (letter) for: "A set of integers"

(a)  

36.

The standard notation (letter) for: "A set of real numbers"

(a)  

37.

The standard notation (letter) for: "A set of rational numbers"

(a)  

38.

The standard notation (letter) for: "A set of irrational/non-repeating numbers"

(a)  

39.

The standard notation (letter) for: "A set of complex numbers"

(a)  

40.

Methods for describing a set: listing elements, separated by commas within braces

(a)  

41.

Methods for describing a set: word form, write a rule which gives us all the elements of the set by that rule

(a)  

42.

Writing word phrases to mathematical questions:

The square of a number added to its reciprocal

(a)  

43.

Writing word phrases to mathematical questions:

Two more than five times a number is equal to two less than a number

(a)  

44.

Type of set: a set with finite/countable number of elements

(a)  

45.

Type of set: no. of elements in a given finite set, denoted by n(A)

(a)  

46.

Type of set: contains infinite or never-ending number of elements

(a)  

47.

Type of set: no element, denoted by { } or φ

(a)  

48.

Type of set: single element

(a)  

49.

Type of set: if every element of A is a member of B and vice versa, then A=B

(a)  

50.

Type of set: if two sets have the same number of elements, denoted as n(A)=n(B)

(a)  

51.

Type of set: if every element of A is an element of B, then A is a ______ of B, and B is a ________ of A

(answer,answer)

(a)  

52.

What does this symbol denote? : ⊃

(a)  

53.

What does this symbol denote? :

(a)  

54.

What does this symbol denote? : ⊂

(a)  

55.

Type of set: if A is a subset of B and A ≠ B

denoted as A ⊂ B

(a)  

56.

Type of set: consists of ALL possible elements which occur under consideration

(a)  

57.

Type of set: two sets are (a)   if they are subsets of the other set, A ⊆ B or B ⊆ A

58.

Type of set: if neither A ⊆ B or B ⊆ A

(a)  

59.

Type of set: set formed by all subsets of a given set A, denoted by P(A)

(a)  

60.

Type of set: sets with no common element, A ∩ B ≠ O

(a)  

61.

If X= { a, b, c, d } and Y = { f, b, d, g}, find X U Y.

(a)  

62.

If X= { a, b, c, d } and Y = { f, b, d, g}, find X ∩ Y.

(a)  

63.

Given:

U= {x:x is the first 15 natural numbers}

A= {1,2,3,4,5,11,13,14}

B= {2,4,6,8,10,12,14}

C= {1,3,5,7,9,11,12,13}

D= {11,12,14}

Find: (A ∩ B) U D

(a)  

64.

Given:

U= {x:x is the first 15 natural numbers}

A= {1,2,3,4,5,11,13,14}

B= {2,4,6,8,10,12,14}

C= {1,3,5,7,9,11,12,13}

D= {11,12,14}

Find: (C ∩ D) A

(a)  

65.

Given:

U= {x:x is the first 15 natural numbers}

A= {1,2,3,4,5,11,13,14}

B= {2,4,6,8,10,12,14}

C= {1,3,5,7,9,11,12,13}

D= {11,12,14}

Find: (B ∩ D)' ∩ (A ∩ C)'

(a)  

66.

Given:

U= {x:x is the first 15 natural numbers}

A= {1,2,3,4,5,11,13,14}

B= {2,4,6,8,10,12,14}

C= {1,3,5,7,9,11,12,13}

D= {11,12,14}

Find: B - D

(a)  

67.

Given:

U= {x:x is the first 15 natural numbers}

A= {1,2,3,4,5,11,13,14}

B= {2,4,6,8,10,12,14}

C= {1,3,5,7,9,11,12,13}

D= {11,12,14}

Find: A Δ C

(a)  

68.

Operations on sets: what do you call a set of all elements in either both in A or B?

(a)  

69.

Operations on sets: what do you call a set of all common elements in both A and B?

(a)  

70.

Operations on sets: A is a set with U as a universal set; A is not included

(a)  

71.

Operations on sets: what do you call a set of all those elements of A which do not belong to B, and is denoted by A - B?

(a)  

72.

Operations on sets: what do you call union minus intersection, and is denoted by

A Δ B?

(a)  

73.

Name the shaded region.

(a)  

74.

Name the shaded region.

(a)  

75.

Suppose that in a town, 800 people are selected by random types of sampling methods.

280 go to work by car only,

220 go to work by bicycle only and

140 use both ways – sometimes go with a car and sometimes with a bicycle.

Question: How many people go to work by car only?

(a)  

76.

Name the shaded region.

(a)  

77.

Name the shaded region.

(a)  

78.

Suppose that in a town, 800 people are selected by random types of sampling methods.

280 go to work by car only,

220 go to work by bicycle only and

140 use both ways – sometimes go with a car and sometimes with a bicycle.

Question: How many people go by neither car nor bicycle?

(a)  

79.

Suppose that in a town, 800 people are selected by random types of sampling methods.

280 go to work by car only,

220 go to work by bicycle only and

140 use both ways – sometimes go with a car and sometimes with a bicycle.

Question: How many people use only one of car or bicycle?

(a)  

80.

150 college freshmen were interviewed. 85 were registered for a Math class, 70 were registered for an English class, 50 were registered for both Math and English.

How many signed up only for a Math Class?

(a)  

81.

150 college freshmen were interviewed. 85 were registered for a Math class, 70 were registered for an English class, 50 were registered for both Math and English.

How many signed up neither for Math nor English?

(a)  

82.

In a group of students:

65 play foot ball,

45 play hockey,

42 play cricket,

20 play foot ball and hockey,

25 play foot ball and cricket,

15 play hockey and cricket and 8 play all the three games.

Find the total number of students in the group (Assume that each student in the group plays at least one game.)

(a)  

83.

What does this quantifier mean: Ǝ

(a)  

84.

What does this quantifier mean:

(a)  

85.

A collection of well-defined objects distinct from each other

(a)  

86.

What does this quantifier mean:

(a)