Free Printable 1st Quarterly Examination in Mathematics 10

1.

Which kind of sequence has a common difference?

a)

Arithmetic

b)

Geometric

2.

What is the common difference in an arithmetic sequence?

a)

The number that you + or - by.

b)

The number you x or divide by.

c)

The first number.

d)

The last number.

3.

A set of real numbers that is formed according to a certain logical order?

a)

sequence

b)

series

c)

term

d)

pattern

4.

Is the sum of terms of a sequence?

a)

sequence

b)

series

c)

term

d)

pattern

5.

What is the next term?

0, 4, 8, 12, 16, ____?

a)

20

b)

22

c)

24

d)

21

6.

What is the next term in the geometric sequence 4, -12, 36?

a)

-42

b)

-54

c)

-80

d)

-108

7.

Find the n^th term of the following sequence...

5, 9, 13, 17...

a)

4n+1

b)

4n-1

c)

n+4

d)

n-4

8.

Generate the first 4 terms of the sequence with the following n^th term rule...

3n + 7

a)

10, 13, 16, 19...

b)

7, 10, 13, 16...

c)

10, 14, 18, 22...

d)

10, 17, 24, 31...

9.

Generate the first 4 terms of the sequence with the following n^th term rule...

5n - 2

a)

3, 8, 13, 18...

b)

3, 1, -1, -3...

c)

3, 5, 7, 9...

d)

3, 7, 11, 15...

10.

What is the 20th term in the sequence...

9n - 4

a)

176

b)

184

c)

108

d)

180

11.

Is the sequence arithmetic: 37, 31, 25, 19, ...

a)

Yes

b)

No

12.

Find the common difference: 29, 21, 13, 5, ...

a)

d = -10

b)

d = -9

c)

d = -8

d)

d = -7

13.

Find a₂₆ in the arithmetic sequence: -15, -35, -55, -75, ...

a)

-515

b)

-490

c)

-535

d)

460

14.

Find the 35th term in the arithmetic sequence: -10, -14, -18, -22, ...

a)

-216

b)

-148

c)

-146

d)

-150

15.

Find the 32nd term of this sequence.
9, 4, -1, -6, -11, ...

a)

81

b)

-34

c)

-146

d)

-225

16.

Determine the sum of the series written in Sigma Notation.

a)

5400

b)

2692

c)

2700

d)

2704

17.

Determine the sum of the series written in Sigma Notation.

a)

45

b)

49

c)

90

d)

47

18.

Determine the sum of the series written in Sigma Notation.

a)

-1

b)

244

c)

270

d)

255

19.

$\sum_{k=1}^6\left(3-k\right)$ = ...

a)

1 + 0 + -1 + -2 + -3

b)

2 + 1 + 0 + -1 + -2

c)

3 + 2 + 1 + 0 + -1

d)

1 + 0 + -1 + -2 + -3 + -4

e)

2 + 1 + 0 + -1 + -2 + -3

20.

Determine the sum of the series written in Sigma Notation.

a)

45

b)

47

c)

48

d)

49

e)

90

21.

What does r represent?

a)

Radical

b)

Common difference

c)

Common ratio

22.

Find the common ratio for the geometric sequence.

a)

10

b)

1/2

c)

2

d)

4

23.

What are the next 3 terms in the following geometric sequence:

512, 256, 128, ___, ___, ___, ...

a)

1024, 2048, 4096

b)

32, 8, 2

c)

64, 32, 16

d)

92, 66, 38

24.

Is the sequence 2, 4, 12, 48,... geometric?

a)

yes

b)

no

25.

Find the common ratio: 64, -16, 4, -1, ...

a)

r = -8

b)

r = -1/4

c)

r = -4

d)

r = 4

26.

Find the common ratio: 4, -16, 64, -256, ...

a)

r = -4

b)

r = 2

c)

r = -2

d)

r = 4

27.

Find the common ratio for the geometric sequence.

a)

1

b)

-1

c)

7

d)

-7

28.

The next term of the geometric sequence

4, 16, 64, ...

is

a)

256

b)

132

c)

120

d)

150

29.

What is the common ratio for the following sequence:

3, 15, 75, 375, ...

a)

12

b)

1/5

c)

5

d)

3

30.

Find the next three terms of the following geometric sequence:

4, 12, 36, 108, ...

a)

324, 972, 2916

b)

972, 2916, 8748

c)

405, 1215, 3645

d)

324, 648, 1296

31.

Insert one geometric mean between -4 and -100.

a)

-15

b)

-25

c)

-20

d)

-50

32.

Insert three geometric means between 3 and 243.

a)

9,27,81

b)

81,27,9

c)

81,27,3

d)

9,18,27

33.

The n^th term of a geometric sequence is given by ...

a)

b)

c)

d)

34.

The sum of an infinite Geometric series is given by:

a)

b)

c)

d)

35.

$-3x^3$

a)

Polynomial

b)

Not a Polynomial

36.

$5x^0$

a)

Polynomial

b)

Not a Polynomial

37.

$2\sqrt{3x}+x^2-1$

a)

Polynomial

b)

Not a Polynomial

38.

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

a)

Polynomial

b)

Not a Polynomial

39.

$6x^{-4}+x^{-2\ }-x$

a)

Polynomial

b)

Not a Polynomial

40.

$2^{\frac{1}{2}}+3x^{\frac{1}{2}}$

a)

Polynomial

b)

Not a Polynomial

1st Quarterly Examination in Mathematics 10

Total questions: 40

Worksheet time: 2hrs 17mins

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