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Worksheets

Bridge course

Total questions: 110

Worksheet time: 1hrs 21mins

Name
Class
Date
1.

Can we write 0 in the form of p/q?

a)

Yes

b)

No

c)

Can't be explained

d)

None of the above

2.

What should be added to -5/4 to get -1?

a)

-1/4

b)

1/4

c)

1

d)

3/4

3.

The Numbers of factors of 60 is -

a)

10

b)

14

c)

15

d)

12

4.

When the sum of the measures of two angles is 90°, the angles are called

a)

Complementary angles

b)

Straight angle

c)

Right angle

d)

Acute angle

5.

The sum of the measures of the angles in a linear pair is

a)

90⁰

b)

180⁰

c)

360⁰

d)

270⁰

6.

Which of the following quadilaterals has two pairs of adjacent sides equal and diagonals intersecting at right angles?

a)

Kite

b)

Parallelogram

c)

Rectangle

d)

Trapezium

7.

A dice is thrown. Find the probability of getting an even number.

a)

1/3

b)

5/6

c)

1

d)

1/2

8.

 1+2+3+...............+201+2+3+...............+20  

a)

206

b)

210

c)

215

d)

200

9.

 Which function is not continuous?Which\ function\ is\ not\ continuous?  

a)

 x2x^2  

b)

 2x2^x  

c)

 x\lfloor x\rfloor  

d)

sin x

10.

 20+7050\frac{2^0+^{ }7^0}{5^0}  

a)

1

b)

2

c)

0

d)

none of these

11.

 (64125)23\left(\frac{64}{125}\right)^{-\frac{2}{3}}  

Simplify

a)

 2516\frac{25}{16}  

b)

 45\frac{4}{5}  

c)

 85\frac{8}{5}  

d)

none of these

12.

 Factorisation of  2x2  7x 15 isFactorisation\ of\ \ 2^{ }x^2\ -\ 7x\ -15\ is  

a)

 (x5)(2x 3)\left(x-5\right)\left(2x\ -3\right)  

b)

 (x3)(2x +5)\left(x-3\right)\left(2x\ +5\right)  

c)

 (x5)(2x + 3)\left(x-5\right)\left(2x\ +\ 3\right)  

d)

none of these

13.

 Expansion of (a3 b3) isExpansion\ of\ ^{ }\left(a^3\ -b^3\right)\ is  

a)

 (ab)(a2+ab +b2)\left(a-b\right)\left(a^{2^{ }}+ab\ +b^2\right)  

b)

 (a +b)(a2 ab +b2)\left(a\ +b\right)\left(a^2\ -ab\ +b^2\right)  

c)

 (ab)(a2  ab  b2)\left(a-b\right)\left(a^2\ -\ ab\ -\ b^2\right)  

d)

none of these

14.

Arvind and Vinod have some erasers. Arvind said to Vinod , if you will give me 10 erasers, I will have twice the earsers left with you. The linear equation in two variables representing this situation is

a)

x2y + 10=0x-2y\ +\ 10=0

b)

x3y+ 30=0x-3y+\ 30=0

c)

x 2y+30=0x-\ 2y+30=0

d)

none of these

15.

 Find the coordinate where the equation 2x + 3y = 6  intersects  x axisFind\ the\ co-ordinate\ where\ the\ equation\ 2x\ +\ 3y\ =\ 6\ \ inter\sec ts\ \ x\ axis  

a)

(3,0)

b)

(0,3)

c)

(-3,0)

d)

(0,-3)

16.

 Two opposite angles of a parallelogram are (2x+6)0 and (96x)0. Find the value of xTwo\ opposite\ angles\ of\ a\ paralle\log ram\ are\ \left(2x+6\right)^0\ and\ \left(96-x\right)^0.\ Find\ the\ value\ of\ x  

a)

 x=900x=90^0  

b)

 x = 300x\ =\ 30^0  

c)

 x= 450x=\ 45^0  

d)

none of these

17.

 The area of the trapezium is 39 cm2.The distance between its parallel sides is 6 cm .If one of the parallel sides is 5 cm , then  the other parallel side is  cmThe\ area\ of\ the\ trapezium\ is\ 39\ cm^{2^{ }}.The\ dis\tan ce\ between\ its\ parallel\ sides\ is\ 6\ cm\ .If\ one\ of\ the\ parallel\ sides\ is\ 5\ cm\ ,\ then\ \ the\ other\ parallel\ side\ is\ -\ cm  

a)

5cm

b)

4cm

c)

6 cm

d)

8 cm

18.

What is the relation between height, radius and slant height of a cone?

a)

l=h2+ r2l=\sqrt{h^2+\ r^2}

b)

l= h2 r2l=\ \sqrt{h^2\ -r^2}

c)

h= l2 + r2h=\ \sqrt{l^2\ +\ r^2}

d)

none of these

19.

The volume of two spheres are in the ratio 64:27.Find the ratio of their surface area

a)

43\frac{4}{3}

b)

163\frac{16}{3}

c)

169\frac{16}{9}

d)

none of these

20.

If X+a=0 then X=

a)

a

b)

-c

c)

-b

d)

-a

21.

If 2k+5=0,then k=

a)

5/2

b)

-5/2

c)

2/3

d)

-2/5

22.

A polynomial of degree 3 is called

a)

Degree

b)

Variable

c)

Constant

d)

Cubic polynomial

23.

Monomial contains

a)

2Variables

b)

1 Degree

c)

7 Variables

d)

1 Variable

24.

Degree of 7X+X^2-1 is

a)

2

b)

3

c)

1

d)

4

25.

Maximum number of terms in a cubic polynomial

a)

2

b)

3

c)

7

d)

4

26.

If X=1 and Y=1/2, then X-Y=

a)

-1

b)

7

c)

1/2

d)

-1/2

27.

ax+by+c=0 is called

a)

quadratic equation

b)

Linear equation

c)

Cubic equation

d)

Binomial equation

28.

The total surface area of a cube is 150sq.cm.Its volume is

a)

25cu.cm

b)

125cu.cm

c)

625cu.cm

d)

600cu.cm

29.

The base radius and height of a cylinder are 7cm and 14cm respectively.Its total surface area is

a)

462cu.cm

b)

462sq.cm

c)

924cu.cm

d)

924sq.cm

30.

The perimeter of the floor of a room is 30m and its height is 4m.Find the area of the four walls of the room

a)

120sq.m

b)

60sq.m

c)

240sq.m

d)

150sq.m

31.

Lateral surface area of cuboid

a)

2(l+b)

b)

2h(l+b)

c)

l×b

d)

l/b

32.

TSA of cube is 96cm^2, then p=....cm

a)

10

b)

19

c)

16

d)

12

33.

Lateral surface area of cube

a)

5a^2

b)

6a^2

c)

4a^2

d)

3a^2

34.

The length, breadth and height of a cuboid are 15cm,10cm and 8cm.Find it's volume

a)

300cu.cm

b)

600cu.cm

c)

400cu.cm

d)

1200cu.cm

35.

The perimeter of the floor of a room is 30m and its height is 4m.Find the area of the four walls of the room........m^2

a)

120

b)

60

c)

240

d)

150

36.

In which quadrilateral, the diagonals are to be perpendicular bisectors.

a)

Square

b)

Rhombus

c)

Rectangle

d)

Parallelogram

37.

In which quadrilateral, opposite sides are are equal but diagonals are not equal.

a)

Square

b)

Rhombus

c)

Rectangle

d)

Parallelogram

38.

In which quadrilateral, all sides are equal and diagonals are also equal.

a)

Square

b)

Rhombus

c)

Rectangle

d)

Parallelogram

39.

In which quadrilateral, opposite sides are equal and diagonals are also equal.

a)

Square

b)

Rhombus

c)

Rectangle

d)

Parallelogram

40.

If the number of times the observation occurred in the experiment or study, is called

a)

Frequency

b)

Range

c)

Data

d)

Limits

41.

The difference of the upper limit and lower limit of a class is called

a)

Frequency

b)

Range

c)

Length of the class

d)

Data

42.

The difference of maximum value and the minimum value of the data is called

a)

Frequency

b)

Range

c)

Length of the class

d)

Limits

43.

Which of the following are in continuous series of the class intervals

a)

10-20

20-29

b)

5-10

10-20

c)

5-10

10-15

d)

All of the above

44.

Which of the following is a solid object

a)

Sphere

b)

Circle

c)

Point

d)

Line

45.

Which of the following is not 2-D object?

a)

Cylinder

b)

Sphere

c)

Cone

d)

All of the above

46.

Area of the circle is

a)

lbh

b)

a^2

c)

πr^2

d)

2πr

47.

The number 235,006 can be written in words in the international system of numeration as

a)

Two hundred thirty five thousand six

b)

Two lakh thirty five thousand six

c)

Twenty three lakh thirty five thousand six

d)

Twenty three lakh thirty five thousand six

48.

The digit in the ten’s place of a two digit number is 3 more than digit in the unit’s place. Let the digit in the units place be b. Then the number is?

a)

11b+3011b+30

b)

10b+3010b+30

c)

11b+311b+3

d)

10b+310b+3

49.

Is-0.4 a rational number?

a)

No,because it cannot be written in the form of p/q

b)

Yes, because it can be written in the form of p/q

c)

Yes, because it is a negative number

d)

No, because it is a negative number

50.

If the multiplicative identity of rational number p/q " is x, what could be the value of x? 

a)

 qp\frac{q}{p}  

b)

 pq\frac{p}{q}  

c)

0

d)

1

51.

What is a sequence?

a)

Succession of numbers

b)

Succession of numbers in a specific order

c)

Sum of all the terms in a sequence

d)

Specific order

52.

Which of the following is NOT an example of a sequence?

a)

121, 126, 131, 136, ...

b)

95, 98, 100, 103

c)

1/2, 1, 3/2, 2, ...

d)

25, 34, 43, 52

53.

What kind of sequence is 5, 7, 9, 11, 13?

a)

arithmetic

b)

geometric

c)

harmonic

d)

fibonacci

54.

What is the first four terms of the sequence an=2/(n+2)

a)

2/3, 1/2, 2/5, 1/3

b)

2, 3, 4, 5

c)

1/2, 1/3, 1/4, 1/5

d)

6, 3, 1, 0

55.

What is the common difference of the sequence 7, 4, 1, -2, -5?

a)

7

b)

5

c)

3

d)

-3

56.

Find the sum of the arithmetic series: 5+8+11+14+17+20.

a)

37

b)

37.5

c)

75

d)

75.5

57.

The last term of an arithmetic sequence is -104, the common difference is -13, and the number of terms is 13. What is the first term?

a)

50

b)

51

c)

52

d)

53

58.

How is 100,000 as a power of 10?

a)

10^5.

b)

3.1416.

c)

Multiply the number by itself.

59.

What is a proportion?

a)

You invert the divisor and multiply the numerators together and the denominators together.

b)

Convert it to a decimal, move the decimal point two places to the right and add the percent sign.

c)

A Statement of equality between 2 or more ratios.

60.

What are two different ways that a ratio may be expressed?

a)

(1) As a fraction (2) By placing a colon between the 2 numbers.

b)

Convert it to a decimal, move the decimal point two places to the right and add the percent sign.

c)

Multiply the decimal by the desired denominator. The result becomes the numerator in the fraction.

61.

What is a common method of making computations involving very large or very small numbers more manageable?

a)

Multiply the decimal by the desired denominator. The result becomes the numerator in the fraction.

b)

Convert the numbers into scientific notation by using powers of 10.

62.
In the general equal y = mx + b, b is the y-intercept
a)
True
b)
False
63.
The slope of a horizontal line is 0
a)
True
b)
False
64.
The slope of a line is positive if you go up as you move from right to left
a)
True
b)
False
65.
It's dark. You have ten grey socks and ten blue socks you want to put into pairs. All socks are exactly the same except for their colour. How many socks would you need to take with you to ensure you had at least a pair?
a)
3
b)
16
c)
8
d)
7
66.
My grandson is about as many days as my daughter in weeks, and my grandson is as many months as I am in years. My grandson, my daughter and I together are 120 years. Can you tell my age in years?
a)
60
b)
72
c)
66
d)
81
67.

It is sequence in which each term after the first is obtained by multiplying the preceding term by a fixed number.

a)

Arithmetic

b)

Fibonacci

c)

Geometric

d)

A.Harmonic

68.

What is the ninth term in the Fibonacci sequence 1, 1,2,3,5,8,…?

a)

89

b)

55

c)

34

d)

21

69.

What will be the next term in the given numbers 1, 4, 9, 16,…?

a)

19

b)

21

c)

23

d)

25

70.

What is the remainder if ( x2 – 2x + 1) is divided by (x – 2)?

a)

0

b)

1

c)

2

d)

3

71.

1.Find a so that the numbers a, 2a+4, and 8a+4 form a geometric sequence.

a)

2

b)

3

c)

4

d)

5

72.

Find the value of k so that (x+4) is a factor of x4 + kx3- 4x2.

a)

1

b)

2

c)

3

d)

4

73.

The sale of avocado increases during the month of July. On the first day, five kilograms of avocado are sold by a fruit vendor. Then nine kilograms are sold on the second day, 13 kilograms on the third day, and so on. If the demands continues at this rate, how many kilograms of avocado will be sold in a week?

a)

90 kg

b)

114 kg

c)

119 kg

d)

123 kg

74.

It is an order of succession , an arrangement, following a rule or pattern for such arrangement.

a)

Sequence

b)

Terms

c)

Domain

d)

Range

75.

Find the next three terms of the sequence 4,7,10,13.

a)

16, 19, 22

b)

15, 18, 21

c)

14, 17, 20

d)

13, 16, 19

76.

What is the next terms of the sequence -15, -13, -11 ?

a)

-8, -6, -4

b)

-7, -5, -3

c)

-9, -7, -5

d)

-10, -7, -5

77.

It is a sequence, finite or infinite for which the quotient between any two consecutive terms is always the same

a)

Geometric sequence

b)

Arithmetic mean

c)

Arithmetic sequence

d)

Series

78.

It is a sequence with one end point on the center of the circle and the other end point is on the circle.

a)

Diameter

b)

Radius

c)

Circle

d)

Tangent

79.

It is a segment where both end point are on the circle.

a)

Diameter

b)

Circle

c)

Chord

d)

Tangent

80.

It is a chord that passes through the center of the circle.

a)

Secant

b)

Diameter

c)

Tangent

d)

Circle

81.

It is an angle whose vertex is the center of the circle.

a)

Central angle

b)

Arc

c)

Diameter

d)

Tangent

82.

What is the measurement of a semi-circle?

a)

360°

b)

90°

c)

150°

d)

180°

83.
What is the probability of spinning green?
a)
0
b)
1/4
c)
1/2
d)
3/4
84.
What is the probability of spinning red?
a)
0
b)
5/12
c)
1/2
d)
3/4
85.
The letters that form the word ALGEBRA are placed in a bowl. What is the probability of choosing a letter other than “A”? 
a)
2/7
b)
5/49
c)
5/7
d)
10/49
86.
Find the probability of drawing a 10 from a standard deck of 52 cards.
a)
1 out of 52
b)
13 out of 52
c)
26 out of 52
d)
4 out of 52
87.

A box contains 5 purple marbles, 3 green marbles and 2 orange marbles. Draws are made without replacement.P(both marbles are purple)

a)

2/9

b)

1/3

c)

1/2

d)

1/4

88.

A bag contains 30 lollies. There are 15 grape, 7 cherry, 3 lemon, 5 strawberry. What is the probability of drawing a lemon lollie?

a)

3

b)

1/10

c)

3/10

d)

30%

89.
P(not A) = 
*Remember to simplify.*
a)
6/8
b)
3/4
c)
2/8
d)
1/4
90.

A bag has 3 red marbles, 2 blue and 4 yellow. What is the theoretical probability of drawing a red marble?

a)

3/10

b)

3/9

c)

1/9

d)

1/3

91.
How do you write 0.02 as a percent?
a)
20%
b)
200%
c)
2%
d)
.02%
92.

 (x2+3x+2)+(7x+3)=?\left(x^2+3x+2\right)+\left(7x+3\right)=?  

a)

 x2+10x+5x^2+10x+5  

b)

 x2+4x+5x^2+4x+5  

c)

 7x2+3x+57x^2+3x+5  

d)

 7x2+10x+57x^2+10x+5  

93.

Simplify the given radical expression

 50\sqrt{50}  

a)

 252\sqrt{5}  

b)

 525\sqrt{2}  

c)

 50\sqrt{50}  

d)

 25225\sqrt{2}  

94.

Find

 23+73+105352\sqrt{3}+7\sqrt{3}+10\sqrt{5}-3\sqrt{5}  = ?

a)

 93+759\sqrt{3}+7\sqrt{5}  

b)

 93759\sqrt{3}-7\sqrt{5}  

c)

 99+7259\sqrt{9}+7\sqrt{25}  

d)

 997259\sqrt{9}-7\sqrt{25}  

95.

What is the product of

 222\sqrt{2}  and  434\sqrt{3}  ?

a)

 656\sqrt{5}  

b)

 666\sqrt{6}  

c)

 858\sqrt{5}  

d)

 868\sqrt{6}  

96.

Simplify

 (2x)2(x+1)=?\left(2x\right)^2\left(x+1\right)=?  

a)

 2x2+x2x^2+x  

b)

 2x3+x22x^3+x^2  

c)

 4x2+2x4x^2+2x  

d)

 4x3+4x24x^3+4x^2  

97.

10 < 3x + 19

a)

x < 3

b)

x < -3

c)

x > 3

d)

x > -3

98.

What inequality does the number line graph represent?

a)

x ≤ 4

b)

x < -4

c)

x ≥ -4

d)

x < 4

99.

Write an expression.

Anita needs at least a 90 grade (g) on her test to get an A in math class.

a)

g ≤ 90

b)

g < 90

c)

g ≥ 90

d)

g > 90

100.

Find the nth term of...

8,13,18,23...

a)

5n+3

b)

3n+5

c)

5n-2

d)

2n+5

101.

What are the first 5 terms of

3n - 2

a)

3, 6, 9, 12, 15

b)

5, 8, 11, 14, 17

c)

1, 4, 7, 10, 13

d)

0, 2, 4, 6, 8

102.

Find the value of y.

a)

135

b)

115

c)

125

d)

105

103.

4 times a number increased by 5 is the same as 3 times the difference of a number and 2. Which of the following equations would find the number?

a)

4n + 5 = 3n - 2

b)

4n + 5 = 3(n - 2)

c)

4n+5 = 3(n + 2)

d)

4n + 5 = 3 - 2n

104.

Solve 6(y+6)≥35

a)

y≥-1/6

b)

y=1/6

c)

y≤-1/6

105.

Solve for x and y. Given that 3x+2y=12 and 2x+2y=10 by elimination


a)

y=3 and x=2


b)

2y=10-2x

c)

x=2 and y=3

d)

3x=12-2y

106.

Solve -21>-2m+7


a)

m<14

b)

m>14

107.

Expressed in scientific notation

0.045 × 10-3 is

a)

4.5 × 10-1

b)

4.5 × 10-4

c)

4.5 × 10-5

d)

4.5 × 10-6

108.

The value of (5 + 2)3/52 - 22 in its simplest

form is

a)

8/21

b)

7/3

c)

7/2

d)

49/3

109.

Seven times the product of two numbers,

a and b, may be written as

a)

7ab

b)

7a + b

c)

7a + 7b

d)

49 ab

110.

A regular 6-sided die is to be rolled once. What is the probability that a number less than or equal to 4 is rolled?

a)

 12\frac{1}{2} 

b)

 56\frac{5}{6} 

c)

 14\frac{1}{4} 

d)

 23\frac{2}{3}