Free Printable RIKKI MATHS 05-50-23

1.

Find the median of these numbers:
2, 3, 4, 5, 5, 7

a)

4

b)

5

c)

4.5

d)

6

2.

What is the range?

a)

average

b)

biggest-smallest

c)

the middle #

d)

# happening the most

3.

What is the mode?

a)

# happening the most

b)

the average

c)

biggest - smallest

d)

the middle #

4.

Find the range.
5, 15, 10, 20, 15, 10, 15

a)

5

b)

10

c)

15

d)

13

5.

Calculate the MODE for the data set: 6, 7, 12, 8, 7, 4, 8, 8, 7

a)

7

b)

7.44

c)

8

d)

7 and 8

6.

Find the mean:
9, 9, 3, 2, 8, 7, 4

a)

49

b)

6

c)

9

d)

7

7.

Which interval shows the greatest number of pets?

a)

15-19

b)

0-4

c)

5-9

d)

10-14

8.

Mean of 6,8,4,12,x is 7 then value of x

a)

4

b)

5

c)

6

d)

7

9.

Lower limit of class 40-45 is

a)

50

b)

60

c)

40

d)

None

10.

What is the co-ordinate of the brown dot?

a)

(11, 1)

b)

11,1

c)

1,11

d)

(1,11)

11.

The co-ordinate (-3, 4) lies in ______ quadrant

a)

I

b)

II

c)

III

d)

IV

12.

Intersecting point of x-axis and y axis is

a)

(0,0)

b)

origin

c)

Both a and b

d)

None

13.

X co-ordinate is also called as (a)

14.

In which quadrant does the point (0,0) lies ______

a)

I

b)

II

c)

III

d)

IV

e)

None

15.

The co-ordinate (-6.0) lies in _______

a)

x-axis

b)

y axis

16.

The measure of the angle between the coordinate axes is

a)

0°

b)

90°

c)

180°

d)

360°

17.

A point whose abscissa and ordinate and 2and -5 respectively,lies in

a)

1 quadrant

b)

2 quadrant

c)

3 quadrant

d)

4 quadrant

18.

The ordinate of any point on axis is

a)

0

b)

1

c)

-1

d)

Any number

19.

11. The perpendicular distance of the point (4,3) from x axis is

a)

4

b)

3

c)

5

d)

None of them

20.

10. Two points having same abscissa but different ordinate lie on

a)

X axis

b)

Y axis

c)

A line parallel to y axis

d)

A line parallel to x axis

21.

The distance of the point (4,3) from origin is

a)

4

b)

3

c)

5

d)

7

22.

The distance between the points A(0 ,6) and B(0 , -2) is _____

a)

6

b)

4

c)

8

d)

16

23.

What is the mirror image of (3 , 9) on x-axis?

a)

(3 , -9)

b)

(9 , 3)

c)

(-9 , -3)

d)

(-3 , -9)

24.

The figure obtained by plotting the points (2 ,3), (-2, 3), (-2, -3) and (2, -3) is _________

a)

Trapezium

b)

Rectangle

c)

Square

d)

Rhombus

25.

$\left(a^2+2ab\ +b^2\right)$ is the expansion of

a)

$\left(a+b\right)^2$

b)

$\left(a-b\right)^2$

c)

$\left(a+b\right)^3$

d)

none of these

26.

(p - q)²

a)

p² + 2pq + q²

b)

p² + 2pq - q²

c)

p² - 2pq - q²

d)

p² - 2pq + q²

27.

The square of x² - 2y²is ______

a)

x⁴ - 4x²y²+ 4y⁴

b)

x⁴ + 4x²y²+ 4y⁴

c)

x⁴ - 4x²y²- 4y⁴

d)

None of the above

28.

Subtract: -6x²y from -10x²y

a)

4x²y

b)

-4x²y

c)

16x²y

d)

-16x²y

29.

What will be the area of a rectangle if its length is 4a²b and breadth 3ab?

a)

12a²b

b)

12a³b

c)

7a³b

d)

12a³b²

30.

The degree of a constant polynomial is

a)

1

b)

2

c)

3

d)

0

31.

The degree of the polynomial: 4x²y + x² - 2y² is ______

a)

2

b)

3

c)

4

d)

-2

32.

$factorise\ \ \ \ \ \ x^2+8x+16$

a)

$\left(x+2\right)^2$

b)

$\left(x+3\right)^3$

c)

$\left(x+4\right)^3$

d)

$\left(x+4\right)^2$

33.

Factorize and choose the correct answer
a2 + bc + ab + ac

a)

(a+c) (b+c)

b)

a (a+b+c)

c)

(a+b) (b+c)

d)

(a+b) (a+c)

34.

Factorise 3r + r²

a)

r (3 + r)

b)

3r (1 + r)

c)

3 (1 + r)

d)

3r (r + 3)

35.

Factorise 3r³ + 9r

a)

r² (3 + r)

b)

3r (3 + r)

c)

3r (r² + 3)

d)

3 (r² + 3)

36.

If a+b=7, ab = 10, find a² + b²

a)

28

b)

29

c)

30

d)

27

37.

$If\ x^2\ +\ \frac{1}{x^2}\ =\ 18,\ find\ x\ -\ \frac{1}{x}$

a)

4

b)

-4

c)

$+-4$

d)

16

38.

$\left(\frac{2m}{3}\ +\ \frac{3n}{2}\right)^2$ is

a)

$\frac{4m}{2}+2mn\ +\ \frac{9n}{4}$

b)

$\frac{4m^2}{2}\ +\ 2mn\ +\ \frac{9n^2}{4}$

c)

$\frac{4m^2}{9}+\ 2mn\ +\ \frac{9n^2}{4}$

d)

$\frac{4m^2}{9}-\ 2mn\ \ +\ \frac{9n^2}{4}$

39.

$If\ x\ -\ \frac{1}{x}=\ 3,\ evaluate,\ x^2\ +\ \frac{1}{x^2}$

a)

121

b)

11

c)

22

d)

212

40.

$x^2+\frac{1}{x^{2\ }}=102,\ then\ x-\frac{1}{x}=?$

a)

8

b)

10

c)

12

d)

13

41.

If a + b = 5 and ab = 6, find a² + b².

a)

13

b)

12

c)

10

d)

11

42.

factorise $m^4-256$

a)

$\left(m^2+16\right)\left(m^2-16\right)$

b)

$\left(m+4\right)\left(m-4\right)$

c)

$\left(m^2+4\right)\left(m^2-4\right)$

d)

$\left(m-4\right)\left(m+4\right)\left(m^2+16\right)$

43.

the\ factors\ of\ 49p^2-36

are

a)

$\left((7p+6\right)^2$

b)

$\left(7p-6\right)^2$

c)

(7p – 6 ) ( 7p + 6)

d)

None of the above

44.

$\left(a-b\right)^2$ =

a)

$a^2+b^2+2ab$

b)

$a^2+b^2-2ab$

c)

$a^2-b^2$

d)

$a-b^2$

45.

Add (a - b - c) ; (b - a - c) and (c - a - b)

a)

(a - b - c)

b)

(- a - b - c)

c)

(a + b - c)

d)

(-a - b + c)

46.

A rectangle has a length say 'l' and breadth say 'b'. The length is increased and breadth is decreased by 4 units. The perimeter does not changes and so does the area of rectangle.
Which among below is a relation between length and breadth ?

a)

b - l = 4

b)

l - b = 4

c)

- l - b = 4

d)

l + b = 4

47.

P = {a, e, i, o, u}

Q = {a, b, c, d, e, f}

Which kind of sets do P and Q represent?

a)

a. Equal sets

b)

b. Equivalent set

c)

c. Overlapping sets

d)

d. Disjoint sets

48.

Which of the following sets is not a singleton set?

a)

a. A = {∅}

b)

b. B = {x : x ∈ W, x < 1}, Where W = Set of whole numbers

c)

C = {Vowels present in the word ‘HYMN’}

d)

D = { x : x ∈ N, x is an even prime number}, Where N = Set of natural numbers

49.

Which of the following sets represent a finite set?

a)

X = {10, 20, 30, 40, 50 ...}

b)

Y = {The number of seconds in a decade}

c)

c. Z = {x : 4 < x < 7, x ∈ R}, Where R = Set of real number

d)

d. W = {x : x is the multiple of 3}

50.

Which of the following Venn diagram represents (A ∩ B′)′?

a)

b)

c)

51.

Find n(A) when
A = {14, 16, 18, 20, 22, 24}

a)

6

b)

12

c)

4

d)

8

52.

How many subsets will this set have? A= {a, b, c} ?

a)

8

b)

6

c)

3

d)

0

53.

If A={6,8,10,12} then 5 ∈ A

a)

True

b)

False

54.

A set having no elements is called

a)

Null Set

b)

Void Set

c)

Empty set

d)

Infinite set

55.

Set of factors of 12 is

a)

{ 1,2,3,4,5}

b)

{2,3,4}

c)

{1,2,3,4,12}

d)

{1,3,5,7}

56.

The group of intelligent students in a class is

a)

A finite set

b)

A null set

c)

A singleton set

d)

Not a well defined collection

57.

If A ={5, 6, 7} and B={7, 8, 9}then A U B is equal to:

a)

{5, 6, 7}

b)

{5, 6, 7, 8, 9}

c)

{7, 8, 9}

d)

{7}

58.

A= {x: x $\ne$ x }represents.

a)

{0}

b)

{1}

c)

{ }

d)

{x}

59.

"The set of honest people" is a _____set.

a)

well-defined

b)

not well-defined

60.

What shape is this?

a)

Pyramid

b)

Cylinder

c)

Circle

d)

Cube

61.

What is the name of this 3D shape?

a)

cone

b)

cylinder

c)

circle

d)

sphere

62.

What shape is this?

a)

Cone

b)

Sphere

c)

Cube

d)

Pyramid

63.

Area of Trapezium =____

a)

1/2 x (a+b) x h

b)

1/2 x (l+b) x a

c)

1/2 x (l+b) x h

d)

none of these

64.

Area of Rhombus=______

a)

1/2 x D1 x D2

b)

Base x Height

c)

Both (a) and (b)

d)

none of these

65.

Area of circle=_____

a)

3.14 x r x r

b)

22/7 x r x r

c)

both a and b

d)

none of these

66.

Circumference of circle =____

a)

22/7 x r x r

b)

2 x 22/7 x r

c)

2(l+b)

d)

none of these

67.

T.S.A of cube =?

a)

4 x l x l x l

b)

6 x l x l

c)

4 x l x l

d)

none of these

68.

T.S.A of cuboid =?

a)

2(lb+bh+hl)

b)

lb +bh +hl

69.

If a cuboid has length = 5 cm, breadth= 4 cm and height = 3 cm, then its base area is equal to?

a)

12 sq cm

b)

15 sq cm

c)

20 sq cm

d)

60 sq cm

70.

a)

80 cm²

b)

160 cm²

c)

80 cm

d)

160 cm

71.

a)

75 cm²

b)

35 cm²

c)

105 cm²

d)

Data not sufficient

72.

The perimeter of a regular pentagon is 100 cm. The length of each of its sides is _____________

a)

20 cm

b)

10 cm

c)

25 cm

d)

15 cm

73.

Find the midpoint of the line segment with the given endpoints (3,9) and (5,9)

a)

(-1,0)

b)

(4,9)

c)

(6,7)

d)

(7,9)

74.

Find the distance between each pair of points. Round your answer to the nearest tenth, if necessary.

a)

A

b)

B

c)

C

d)

D

75.

In the expression $5y+r+6+7$ , how many terms are there?

a)

1

b)

2

c)

3

d)

4

76.

Which expression represents "the difference of a number y and 6" ?

a)

$y-6$

b)

$\frac{y}{6}$

c)

$6+y$

d)

$6-y$

77.

What is the value of the expression $xy-y^3$ when $x=6$ and $y=2$ ?

a)

4

b)

15

c)

54

d)

1000

78.

Evaluate $2a^2+3b-4a$ when $a=6$ and $b=4$

a)

12

b)

20

c)

48

d)

60

79.

What is the value of 100⁰?

a)

1

b)

0

c)

100

80.

What is the exponent form for
6?

a)

6⁰

b)

6¹

c)

6×1

d)

0

81.

Which is greater, 2654⁰ or 5⁰?

a)

2654⁰

b)

5⁰

c)

They are the same

d)

Zero is greater

82.

(-5)³

a)

-15

b)

125

c)

-125

d)

-625

83.

a)

x^1/2

b)

x³

c)

x²

d)

x^-2

84.

(2⁸)²

a)

2¹⁶

b)

2¹⁰

c)

2⁶

d)

2⁴

85.

^simplify 5x³2x²

a)

10x⁵

b)

3x

c)

10x⁶

d)

7x⁵

86.

Simplify.

a)

y⁵

b)

y¹⁵

c)

1/y²

d)

1/y⁵

87.

(2x³y)⁶

a)

2x¹⁸y⁶

b)

64x¹⁸y⁶

c)

64x³y⁶

d)

2x³y⁶

88.

Simplify (-7y²)(5y⁴)

a)

-35y⁶

b)

-2y⁶

c)

-35y⁸

d)

-2y⁸

89.

(ab⁸c)(a^-17c¹⁰)

a)

a¹⁷b⁸c¹¹

b)

a¹⁶b⁸c¹¹

c)

(b⁸c¹¹)/(a¹⁶)

d)

a^-17b⁸c¹⁰

90.

Simplify:

a)

x¹²/y²²

b)

x⁸y¹⁴

c)

x¹²y²²

d)

y²²/x¹²

91.

Simplify:

a)

g¹⁵h²⁴/f⁹

b)

f⁹/g¹⁵h²⁴

c)

1/f⁹g¹⁵h²⁴

92.

A triangle can be constructed with sides 7.7cm,6.8 cm and 12 cm using -------------------- criterion.

(a)

93.

3. How many square meters are enclosed in the track?

(a)

94.

Find the value of x.

a)

15

b)

30

c)

45

d)

60

95.

a)

15

b)

16

c)

18

d)

19

96.

Find the measure of angle b

a)

75 degrees

b)

20 degrees

c)

30 degrees

d)

55 degrees

97.

a)

2x-6=7x+4

b)

2x-6+7x+4=90

c)

2x-6+7x+4=180

d)

2x-6+7x+4=360

98.

Give another name for plane Q.

a)

Plane FEGI

b)

Plane FEG

c)

Plane m

d)

Plane FGI

99.

A__________ is a fixed position in space and has no dimensions or size.

a)

Point

b)

Line

c)

Plane

d)

Cube

100.

A ________ has infinite points; one dimension and extends in opposite directions forever.

a)

Point

b)

Line

c)

Line segment

d)

Plane

101.

Points that lie on the same line are _________.

a)

coplanar

b)

collinear

c)

parallel

d)

perpendicular

102.

If AB = 2x+3, BC = 3x-5, and AC = 38, what is the value of x ?

a)

11

b)

12

c)

8

103.

What does the word BISECT mean?

a)

To cut something into more than five pieces.

b)

It is a plane with two sets of wings.

c)

A shape that has three sides.

d)

To cut something into two congruent pieces or in half.

104.

Which of the following words describes the point shown in the figure?

a)

A. Centerpoint

b)

B. Orthocenter

c)

C. Centroid

d)

D. Midpoint

105.

Which of the following words describes the point shown in the figure?

a)

Centerpoint

b)

B. Orthocenter

c)

C. Centroid

d)

D. Altitude-point

106.

The centroid is the point of intersection of the ________________ of a triangle.

a)

Medians

b)

Altitudes

c)

Angle Bisectors

107.

The point of concurrency for the angle bisectors in a triangle.

a)

Orthocenter

b)

Incenter

c)

Centroid

d)

Circumcenter

108.

Concurrent Lines

a)

In a triangle, a line, segment, or ray that passes through the midpoint of a side and is perpendicular to that side

b)

Three or more lines that intersect at a common point.

c)

The point of intersection of concurrent lines

d)

The point of concurrency of the perpendicular bisectors of a triangle.

e)

The point of concurrency of the angle bisectors of a triangle.

109.

Circumcenter

a)

In a triangle, a line, segment, or ray that passes through the midpoint of a side and is perpendicular to that side

b)

Three or more lines that intersect at a common point.

c)

The point of intersection of concurrent lines

d)

The point of concurrency of the perpendicular bisectors of a triangle.

e)

The point of concurrency of the angle bisectors of a triangle.

110.

Median

a)

In a triangle, a line segment with endpoints that area vertex of a triangle and the midpoint of the side opposite the vertex.

b)

The point of concurrency of the medians of a triangle.

c)

In a triangle, a segment from a vertex of the triangle to the line containing the opposite side and perpendicular to that side.

d)

The point of concurrency of the altitudes of a triangle.

111.

Centroid

a)

In a triangle, a line segment with endpoints that area vertex of a triangle and the midpoint of the side opposite the vertex.

b)

The point of concurrency of the medians of a triangle.

c)

In a triangle, a segment from a vertex of the triangle to the line containing the opposite side and perpendicular to that side.

d)

The point of concurrency of the altitudes of a triangle.

112.

Altitude

a)

In a triangle, a line segment with endpoints that area vertex of a triangle and the midpoint of the side opposite the vertex.

b)

The point of concurrency of the medians of a triangle.

c)

In a triangle, a segment from a vertex of the triangle to the line containing the opposite side and perpendicular to that side.

d)

The point of concurrency of the altitudes of a triangle.

113.

Orthocenter

a)

In a triangle, a line segment with endpoints that area vertex of a triangle and the midpoint of the side opposite the vertex.

b)

The point of concurrency of the medians of a triangle.

c)

In a triangle, a segment from a vertex of the triangle to the line containing the opposite side and perpendicular to that side.

d)

The point of concurrency of the altitudes of a triangle.

114.

Fill in the missing number

.... , 12 , 13 , 14

a)

10

b)

15

c)

12

d)

11

115.

The GCF of 24 and 116 is

a)

$3$

b)

$29$

c)

$8$

d)

4

116.

The first eight nonzero multiples of 6 are

a)

$6,\ 12,\ 18,\ 30,\ 36,\ 42,\ 48,\ 54\$

b)

$0,\ 6,\ 12,\ 18,\ 24,\ 30\ 36,\ 42\$

c)

$1,\ 6,\ 12,\ 18,\ 24,\ 30,\ 36,\ 42\$

d)

$6,\ 12,\ 18,\ 24,\ 30,36,\ 42,\ 48$

117.

-5 - (- 3)

a)

-8

b)

8

c)

-2

d)

15

118.

| –3 |

a)

3

b)

-3

c)

0.30

d)

30

119.

What is |9 - 10| ?

(a)

120.

Round 38.23 to the nearest whole number.

a)

40

b)

38

c)

38.00

d)

39

RIKKI MATHS 05-50-23

Total questions: 120

Worksheet time: 3hrs 46mins

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