Free Printable Quarter 1

1.

1, 3, 5, 7, 9, ..., 45 is a finite set

a)

Yes

b)

No

c)

Maybe

2.

Which of the following is NOT an arithmetic sequence?

a)

2, 5, 8, 11, 14, ...

b)

3, 6, 9, 15, 18, 21, ...

c)

12, 10, 9, 7, 5, 4, ...

d)

10, 20, 30, 40, 50, ...

3.

12, (a) , 20

4.

"To get the next term in a Geometric Sequence, you need to multiply the previous term to the common _________. "

a)

Ratio

b)

Difference

c)

Sum

d)

Sequence

5.

Which of the following is a Geometric Sequence?

a)

2, 4, 6, 8, 10, ...

b)

9, 3, 1, 0, -3, ...

c)

1, 3, 9, 27, ...

d)

None of these

6.

"A Quadratic Function, is a function of equation in the (a) degree"

7.

"The sum all numbers in an arithmetic sequence, is called arithmetic series"

a)

True

b)

False

c)

Sometimes True, Sometimes False

8.

Which of the following is next to 12 , 15 ,18 ...?

a)

A.19

b)

B. 20

c)

C. 21

d)

D. 22

9.

Describe the pattern in the sequence. Find the next three terms.

13, 15, 17, 19,...

a)

Add 2; 23, 25, 27

b)

Multiply by 2; 38, 76, 152

c)

Add -2; 17, 15, 13

d)

Add 2; 21, 23, 25

10.

How many of these sequences have a common difference of -4?

-19, -15, -11, -7, -3,...

19, 15, 11, 7, 3...

3, 7, 11, 15, 19...

-3, 7, -11, 15, -19,...

a)

0

b)

1

c)

2

d)

3

11.

In the sequence 1, 4, 7, 10, 13, what number is in the 4th term

a)

4

b)

7

c)

10

d)

13

12.

Given the sequence 2, 9, ___, 23, 30,... what is the 3rd term?

a)

10

b)

12

c)

14

d)

16

13.

in the sequence 700, 70, 7, 0.7, 0.07, what is the next term?

a)

0.70

b)

0.007

c)

0.070

d)

0.707

14.

In the sequence 49, 44, 39, 34, 29, __, what are the next term after 29?

a)

54 and 59

b)

24 and 19

c)

14 and 9

d)

-24 and -19

15.

Which of the following is the next term in the sequence O, T, T, F, F,.... ?

a)

T

b)

F

c)

S

d)

O

16.

What is the 8th term in the sequence 3, 7, 11,...?

a)

23

b)

27

c)

31

d)

35

17.

What is the next term in the sequence -15, -11, -7,...?

a)

-2

b)

-3

c)

-4

d)

-5

18.

What are the next 2 terms:
12.7, 19.2, 25.7, 32.2...

a)

38.7 and 45.2

b)

38.4 and 44.6

c)

37.7 and 42.2

19.

What is the 10th term of this Triangular Sequence: 1, 3, 6, 10, 15,...

a)

55

b)

45

c)

66

d)

78

20.

What is the 20th term of the Sequence: 1, 4, 9, 16,...

a)

200

b)

400

c)

40

d)

450

21.

. What is the next term in the sequence A , E , I , M …?

a)

A. P

b)

B. Q

c)

C. U

d)

D. V

22.

In the sequence of letters A, A, C, D, E, G, G … What is the 13^th letter?

a)

A. M

b)

B. S

c)

C. V

d)

D. L

23.

a)

Arithmetic

b)

Geometric

c)

Both

d)

Neither

24.

a)

Arithmetic

b)

Geometric

c)

Neither

d)

Both

25.

What kind of sequences is this?

35, 53, 70, 86

a)

Arithmetic

b)

Geometric

c)

Both

d)

Neither

26.

What kind of sequence is this?

-122, -102, -82, -62

a)

Arithmetic

b)

Geometric

c)

Both

d)

Neither

27.

At a birthday party, the first child receives 7 smiley stickers, the second child receives 35 smiley stickers, the third child receives 175 smiley stickers, and the fourth child receives 875 smiley stickers. What kind of sequence is this?

a)

Arithmetic

b)

Geometric

c)

Both

d)

Neither

28.

Which explicit formula represents the geometric sequence shown?

2, 12, 72, 432

a)

b)

c)

d)

29.

Which explicit formula represents the geometric sequence shown?

2, -10, 50, -250

a)

b)

c)

d)

30.

Which recursive formula represents the geometric sequence shown?

1, -2, 4, -8

a)

b)

c)

d)

31.

a)

Common difference, d= 3

b)

Common difference, d= 2

c)

Common ratio, r = 2

d)

Common ratio, r = 5

32.

a)

Common difference, d= 5

b)

Common difference, d= 2

c)

Common ratio, r = 2

d)

Common ratio, r = 5

33.

a)

b)

c)

d)

34.

a)

b)

c)

d)

35.

What is a sequence?

a)

list of numbers

b)

list of numbers in a specific order

c)

sum of all the terms

d)

specific order

36.

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

a)

21, 26, 31, 36, ...

b)

5, 8, 10, 13

c)

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

d)

5, 14, 23, 32

37.

Find the next two terms of the sequence 8, 2, - 4, . . .

a)

-8, -12

b)

10, 16

c)

-10, -16

d)

-6, -8

38.

What is the first four terms of the sequence a_n=3/(n+2)

a)

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

b)

2, 3, 4, 5

c)

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

d)

6, 3, 1, 0

39.

Write a formula for the following sequence:

1, 4, 7, 10, 13...

a)

a_n = 3n - 2

b)

a_n = 8 - 5n

c)

a_n = 5 + 3n

d)

a_n = 5(3)^n-1

40.

What is the 50th term in the sequence a_n = 4n-12?

a)

186

b)

-186

c)

188

d)

-188

41.

Find the 20^thof 2, 6, 10, ...

a)

78

b)

68

c)

58

d)

48

42.

Here are the first five terms in a number sequence.

7, 10 ,13 ,16 ,19,.........

The 10th term in this number sequence is...........

(a)

43.

Here are the first five terms in a number sequence.

17, 20, 23 ,26 ,29,......

Write an expression, in terms of n, for the nth term of this number sequence.

a)

4n + 13

b)

3n - 14

c)

3n + 14

d)

4n -13

44.

A number sequence has nth term 5n + 2

Write down the first four terms of this sequence.

(a)

45.

It is a sequence wherein the terms are generated by adding a constant number called common difference.

a)

Arithmetic Sequence

b)

Fibonacci Sequence

c)

Geometric Sequence

d)

Harmonic Sequence

46.

Which of the the following are examples of arithmetic sequence?

a)

$\frac{1}{4},\frac{1}{2},\frac{3}{4},1$

b)

$6,11,16,21,...$

c)

$100,95,90,85,80,75$

d)

$100,50,25,\ ...$

47.

Find the 34th term of the sequence

-37,-34,-31,...

(a)

48.

What is the common difference of the arithmetic sequence 18,24,30,36, ...?

(a)

49.

If the third term of an arithmetic sequence is 13 and the 9th term is 37, what is the common difference?

(a)

50.

If the third term of an arithmetic sequence is 13 and the 9th term is 37, what is the first term?

(a)

51.

If the third term of an arithmetic sequence is 13 and the 9th term is 37, what is the 53rd term?

(a)

52.

It is the number to be added to generate the next term in an arithmetic sequence.

a)

common difference

b)

first term

c)

last term

d)

number of terms

53.

The first three terms and the last term of a finite arithmetic sequence are - 92, - 88, - 84, ...,12.Find the number of terms in the sequence.

a)

20

b)

25

c)

27

d)

30

54.

How many terms are there in the sequence 1, 4, 7, 10, ..., 682?

a)

228

b)

268

c)

248

d)

238

55.

Which of the following is a correct description of an arithmetic sequence?

a)

A term is obtained by multiplying a constant number from the preceding term.

b)

A term is obtained by squaring the preceding term. c. A term is

c)

A term is obtained by adding a constant number to the preceding term.

d)

A term is obtained by extracting the square root of the preceding term.

56.

Which of the following is the common difference of the arithmetic sequence 4, 7, 10, 13, …?

a)

0

b)

1

c)

2

d)

3

57.

What is the common difference in the sequence: -4, 3, 10, 17,, …?

a)

1

b)

-7

c)

7

d)

-1

58.

What is the common difference in the sequence: -4, 3, 10, 17,, …?

a)

1

b)

-7

c)

7

d)

-1

59.

Which term of the arithmetic sequence 4,1,-2,-5......is -29?

a)

9th term

b)

10th term

c)

11th term

d)

12th term

60.

The first term of an arithmetic sequence is 2 while the 18th term is 87. Find the common difference of the sequence.

a)

7

b)

6

c)

5

d)

3

61.

What is the common ratio of this sequence ? 5, 25, 125, ...

a)

4

b)

2

c)

5

d)

6

62.

What is the 5th term of the sequence 7, 14, 28, ...?

a)

72

b)

48

c)

56

d)

112

63.

Which of the following is a geometric sequence?

a)

2, 4, 5, . . .

b)

2, 6, 18, . . .

c)

2, 4, 6, . . .

d)

10, 20, 200, . . .

64.

What is the common ratio of the geometric sequence -1, 6, -36, 216, ...?

a)

-6

b)

6

c)

12

d)

-4

65.

Solving for the nth term of geometric sequence, given thata₁ = 1 and r= 2, what is the value of the 4th term?

a)

2

b)

8

c)

4

d)

16

66.

Solving for the nth term of geometric sequence, given thata₁ = 4 and r= 6, what is the value of the 4th term?

a)

144

b)

864

c)

124

d)

764

67.

What is the common ratio of the geometric sequence -2, -8, -32, -128, ...?

a)

-4

b)

4

c)

-2

d)

2

68.

What is the 5th term of the geometric sequence -2, -8, -32, -128, ...?

a)

-2048

b)

-512

c)

-256

d)

-384

69.

Find the sum of the first four terms of the geometric sequence that begins with 1 with a common ratio of 3.

a)

25

b)

37

c)

40

d)

80

70.

Evaluate the sum of the geometric sequence 1 + 2 + 4 + 8..., n = 6

a)

63

b)

60

c)

46

d)

56

71.

What value of x makes 2x + 1 equal to 0?

a)

-2

b)

-1/2

c)

1/2

d)

2

72.

Which polynomial equation has -2, 3, and 7 as zeroes?

a)

(x+2)(x+3)(x+7)=0

b)

(x-2)(x-3)(x-7)=0

c)

(x+2)(x-3)(x-7)=0

d)

(x-2)(x+3)(x+7)=0

73.

Which of the following is NOT a root of the equation x³ - 7x² - x + 7 = 0?

a)

1

b)

-1

c)

7

d)

-7

74.

What is the degree of the equation with roots 2, 2, -4, 5, 7, -8?

a)

1

b)

5

c)

6

d)

8

75.

How many real roots does polynomial equation have if the degree is 7?

a)

7 or less

b)

exactly 7

c)

7 or more

d)

less than 7

76.

If 1 is a root of the polynomial equation x³ - 5x2 -13x - 7 = 0, which of the following is TRUE?

a)

1 is a factor of the polynomial

b)

x - 1 is a factor of the polynomial

c)

x + 1 is a factor of the polynomial

d)

If -1 is substituted in x the result is 0

77.

Which of the following has a root of -1?

a)

x³⁰ - 1 = 0

b)

x⁶⁰ + 1 = 0

c)

x⁶⁵ - 1 = 0

d)

x² - 3x +1 = 0

78.

What are the real roots of x³ - 4x² + x + 6 = 0?

a)

-1, 2, 6

b)

2, 3, 6

c)

4, 2, 1

d)

3, -1, 2

79.

Which of the following is NOT a polynomial equation?

a)

x + 5 = 0

b)

x² + 6x + 9 = 0

c)

x³ - 5x² - 13x - 7 = 0

d)

none of the above

80.

Which of the following is a polynomial?

a)

$4x^5-3x^4+2x^3-x^2+\ x\ +\ 2x^{\frac{1}{2}}+\ 6$

b)

$6x^3+2x^2+\ 5\ +\ 3x^{-2}$

c)

$\frac{2}{3}x^5-x^{2\ }+\ 2\sqrt{2}$

d)

$5x^7+3x^6-4\sqrt{x}-\ 7$

81.

If the side of a square is (3x + 4y - z) cm, what is its area?

a)

$\left(9x^{2\ }+\ 16y^2+\ z^2\right)cm^2$

b)

$\left(9x^2+\ 16y^2+\ z^{2\ }+6x\ +\ 8y\ -\ 2z\right)\ cm^2$

c)

$\left(9x^2+\ 16y^2-z^2+24xy\ -\ 8yz\ -\ 6xz\right)cm^2$

d)

$\left(9x^2+16y^2+z^2+\ 24xy\ -\ 8yz-6xz\right)cm^2$

82.

If the sum of (3x⁵ - 6x² + 8x + 5) and (3x⁴ + 7x³ - 7x² - 9x + 12) is subtracted from (3x⁵ + 8x⁴ - 8x + 15), the difference is...

a)

$5x^4+7x^{3\ }-\ 13x^{2\ }-\ 9x\ +\ 32$

b)

$5x^4+\ 7x^{3\ }-\ 13x^{2\ }-\ 7x\ -\ 2$

c)

$5x^4-7x^3+13x^2-7x\ -\ 2$

d)

$5x^4-\ 7x^{3\ }+\ 13x^{2\ }-\ 9x\ +\ 32$

83.

What expression must be subtracted from 3x⁴ - 2x³ + 6x² + 8x - 5 to get x⁴ + 6x³ - x² + 16x - 12?

a)

$2x^{4\ }-\ 6x^{3\ }+\ 10x^{2\ }+\ 8x\ -\ 7$

b)

$2x^{4\ }-\ 8x^{3\ }+\ 7x^{2\ }-\ 8x\ +\ 7$

c)

$2x^{4\ }+\ 6x^{3\ }+\ 13x^{2\ }+\ 16x\ -\ 12$

d)

$2x^{4\ }+\ 6x^{3\ }-\ x^{2\ }+\ 16x\ -\ 12$

84.

Solve for x: $x^3+6x^2-13x\ -\ 42=0$

a)

$-7,\ 3,\ 2$

b)

$7,-3,\ 2$

c)

$7,\ 3,\ -2$

d)

$-\ 7,\ \ 3,\ -2$

85.

Determine the degree of the polynomial x⁵ - 2x⁴ - 7x³ + 6.

a)

$3$

b)

$4$

c)

$5$

d)

$6$

86.

Which of the following is a factor of x⁴ - 29x² + 100?

a)

$x+10$

b)

$x-4$

c)

$x+4$

d)

$x-5$

Quarter 1

Total questions: 86

Worksheet time: 2hrs 38mins

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