Free Printable Grade 9 Mathematics Holiday Assignment

1.

How many faces does a cuboid have?

a)

12

b)

10

c)

6

d)

8

2.

Which of these is a 3D shape?

a)

Square

b)

Rectangle

c)

Circle

d)

Cube

3.

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

4.

The given net when folded will give us which 3D Shape?

a)

cuboid

b)

cylinder

c)

cube

d)

sphere

5.

The given net when folded will result in which 3D shape

a)

Sphere

b)

Cube

c)

Cuboid

d)

Cylinder

6.

Area of circle is equal to

a)

πr²

b)

2πr

c)

πr³

d)

4πr

7.

Solve for c

a)

7

b)

9

c)

13

8.

Find the volume of a right circular cylinder if r = 7 cm and h = 14 cm.

a)

1112 cu cm

b)

512 cu cm

c)

1078 cu cm

d)

2156 cu cm

9.

Calculate the volume.

a)

90 cm³

b)

150 cm³

c)

180 cm³

10.

Find the volume of this shape

a)

1520.53

b)

276.46

c)

552.93

d)

6082.12

11.

Find the Surface Area

a)

556 cm²

b)

278 cm²

c)

680 cm²

d)

340 cm²

12.

Calculate the surface area of the given shape. Round to the nearest tenth.

a)

282.7 in²

b)

56.5 in²

c)

188.5 in²

d)

245.0 in²

13.

Solve the following equation,
x + 7 = 28

a)

x = 35

b)

x = 4

c)

x = 196

d)

x = 21

14.

Solve the following equation,
3x + 6 = 21

a)

x = 9

b)

x = 5

c)

x = 15

d)

x = 27

15.

5(2x - 7) = 80

a)

x = 11.5

b)

x = 115

c)

x = 12

d)

x = 16

16.

Solve:
-4x = 24

a)

20

b)

-20

c)

6

d)

-6

17.

Solve:
7x - 3x - 8 = 24

a)

8

b)

-8

c)

3.2

d)

4

18.

Solve:
7x + 19 = -2x + 55

a)

4

b)

14.8

c)

8.2

d)

-4

19.

Solve:
2(2x + 3) = -6(x + 9)

a)

1.2

b)

6

c)

-6

d)

7.5

20.

Solve for x.

a)

55

b)

60

c)

15

d)

35

21.

Solve for x:
2(3x + 4) + 2 = 4 + 3x

a)

2

b)

-2/3

c)

10

d)

-2

22.

8v - 4(v + 8) = 8

a)

2

b)

10

c)

4

d)

-4

23.

Solve the equation:
^x/₃+ 10 = 15

a)

75

b)

15

c)

25

d)

5

24.

a)

-49

b)

153/5

c)

49

d)

85

25.

Solve the following equation:

\frac{x+10}{2}=15

You only need to write the number.

(a)

26.

Solve for x:

a)

x = yb - v

b)

x = by - v

c)

x = by + v

27.

$3y\ =\ 2g\left(x+h\right)\ \ solve\ for\ x$

a)

$x\ =\ \frac{3y+h}{2g}$

b)

$x\ =\ \frac{3y-h}{2g}$

c)

$x\ =\ \frac{3y}{2g}+h$

d)

$x\ =\ \frac{3y}{2g}-h$

28.

a)

s = -Dn + C

b)

s = Dn - C

c)

s = Dn/C

29.

Solve the following equation for the indicated variable:

t=\frac{1}{4}v\ \ ,\ \ for\ v

a)

$v=4t$

b)

$v=t-4$

c)

$v=t+\frac{1}{4}$

d)

$v=\frac{t}{4}$

30.

Solve:

3x - y = 11

x + y = 5

a)

x = 4

y = 1

b)

x = 4

y = -1

c)

x = -4

y = 1

d)

x = -4

y = -1

31.

Solve:

2x + 3y = 5

x + 3y = 7

a)

x = -2

y = 3

b)

x = -2

y = -3

c)

x = 2

y = 3

d)

x = 2

y = -3

32.

Solve:

2x + 5y = 29

x + 5y = 22

a)

x = 7

y = 3

b)

x = -7

y = -3

c)

x = 7

y = -3

d)

x = -7

y = 3

33.

Solve:

3x - 4y = 26

2x - 4y = 20

a)

x = 6

y = -2

b)

x = -6

y = -2

c)

x = -6

y = 2

d)

x = 6

y = 2

34.

Solve:

2x + y = 16

4x - y = 2

a)

x = 3

y = 10

b)

x = -3

y = -10

c)

x = -3

y = 10

d)

x = 3

y = -10

35.

Solve:

4x - y = 17

7x - y = 32

a)

x = 5

y = 3

b)

x = -5

y = 3

c)

x = 5

y = -3

d)

x = -5

y = -3

36.

Solve:

3x + 2y = 15

7x + 2y = 19

a)

x = 1

y = 6

b)

x = -1

y = 6

c)

x = 1

y = -6

d)

x = -1

y = -6

37.

Solve for (x,y)

-2x + 6y = 16

-4x - 3y = 2

a)

(2,2)

b)

(-2, -2)

c)

(-2,2)

d)

(2,1)

38.

Are the triangles similar?

a)

Yes

b)

No

39.

Find side length X.

a)

16

b)

18

c)

2.4

d)

15

40.

Find side length X.

a)

22.5

b)

10

c)

9

d)

7.5

41.

Find x.

a)

54/7

b)

56/3

c)

11

d)

21/2

42.

What is the measure of x?

a)

12

b)

15

c)

6

d)

9

43.

What is the value of x?

a)

22

b)

26

c)

24

d)

23

44.

Find the value of x and y.

a)

x = 20 and y = 94

b)

x = 67 and y = 40

c)

x =117 and y = 63

45.

1) Given the two parallel lines cut by a transversal.

What is the vertical angle to angle 4?

a)

Angle 2

b)

Angle 6

c)

Angle 8

d)

Angle 7

46.

2) Given the following two parallel lines cut by a transversal.

Which pair of angles represents corresponding angles?

a)

$\angle1$ and $\angle6$

b)

$\angle6$ and $\angle5$

c)

$\angle7$ and $\angle8$

d)

$\angle4$ and $\angle8$

47.

Practice 2: What is the supplement of 74.3 degrees?

a)

$105.7\degree$

b)

$180\degree$

c)

$148.6\degree$

d)

$15.7\degree$

48.

Practice 3: check the two angle measurements you chose. Complementary angles should add up to...

(a)

49.

Solve for x.

a)

16

b)

11

c)

50

d)

6

50.

What is the SUM of the angle measures in a triangle (3 sides)?

a)

60°

b)

90°

c)

120°

d)

180°

51.

What is the sum of the interior angles for a 24-gon

a)

3960

b)

360

c)

15

d)

4280

52.

What is the SUM of the angle measures in a nonagon (9 sides)?

a)

1440°

b)

900°

c)

1080°

d)

1260°

53.

What is the name of a 12-sided polygon?

a)

Dodecahedron

b)

Polygon

c)

Decagon

d)

Dodecagon

54.

How do you find the sum of the exterior angles of a polygon?

a)

180(n-2)

b)

180

c)

(180(n-2))/n

d)

360

55.

Solve for x.

a)

80

b)

110

c)

17

d)

60

56.

Solve for x

a)

45

b)

12

c)

90

d)

2

57.

a)

A

b)

B

c)

C

d)

D

58.

a)

A

b)

B

c)

C

d)

D

59.

a)

A

b)

B

c)

C

d)

D

60.

a)

A

b)

B

c)

C

d)

D

61.

a)

A

b)

B

c)

C

d)

D

62.

a)

A

b)

B

c)

C

d)

D

63.

a)

A

b)

B

c)

C

d)

D

64.

a)

A

b)

B

c)

C

d)

D

65.

11 011₂=

a)

17₁₀

b)

27₁₀

c)

33₁₀

d)

37₁₀

66.

Given that x₅ = 35_10,then x =

a)

10

b)

12

c)

20

d)

120

67.

101₂+ 111₂=

a)

1000₂

b)

1001₂

c)

1011₂

d)

1100₂

68.

11 011₂=

a)

17₁₀

b)

27₁₀

c)

33₁₀

d)

37₁₀

69.

Given that x₅ = 35_10,then x =

a)

10

b)

12

c)

20

d)

120

70.

101₂+ 111₂=

a)

1000₂

b)

1001₂

c)

1011₂

d)

1100₂

71.

Which of the following is false?

a)

101₂+ 11₂ = 1000₂

b)

101₂- 11₂ = 10₂

c)

101 110₂ = 56₈

d)

234₈ = 1 011 100₂

72.

Given that 43₅< x₁₀< 34_8,which of the following is not a possible value of x?

a)

25

b)

26

c)

27

d)

28

73.

Given that 43₅< x₁₀< 34_8,which of the following is not a possible value of x?

a)

25

b)

26

c)

27

d)

28

74.

What is the value of digit 2, in base ten, in the number 4231₅?

a)

50

b)

100

c)

200

d)

250

75.

Given that X₁₀= 11₂+ 11₅+ 11_8, find the value of X.

a)

15

b)

16

c)

17

d)

18

76.

110 100₂ - 11 011₂=

a)

10 000₂

b)

10 001₂

c)

11 001₂

d)

11 011₂

77.

Given that 4x5³+ 2x5²+ 5y = 4230_5,find the value of y.

a)

0

b)

2

c)

3

d)

6

78.

What is the value of digit 2, in base ten, in the number 4231₅?

a)

50

b)

100

c)

200

d)

250

79.

Given that X₁₀= 11₂+ 11₅+ 11_8, find the value of X.

a)

15

b)

16

c)

17

d)

18

80.

Express 1011₁₀as a number in base five.

a)

1203₅

b)

3021₅

c)

13021₅

d)

12031₅

Grade 9 Mathematics Holiday Assignment

Total questions: 80

Worksheet time: 13hrs 20mins

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