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Worksheets

Basic Math (M32102)

Total questions: 20

Worksheet time: 39mins

Name
Class
Date
1.

Find the value of:

a)

50

b)

53

c)

54

d)

58

2.

Which of the following represents the sum of the sequence

6, 12, 20, 30 ?

a)
b)
c)
d)
3.

Which choice represents 3 + 6 + 9 + 12 + ...

for 28 terms ?

a)
b)
c)
d)
4.

Which choice represents:

a)

3 - 6 + 12 - 24 + 48

b)

3 - 6 + 9 - 12 + 15

c)

-3 + 6 - 12 + 24 - 48

d)

-3 + 6 - 9 + 12 - 15

5.

Evaluate:

a)

15

b)

24

c)

39

d)

47

6.

What is the common difference in the arithmetic sequence: -4x, -x, 2x, 5x, 8x, ... ?

a)

-3x

b)

-3

c)

3x

d)

3

7.

Given the sequence: m, (m + n), (m + 2n), (m + 3n), ...

Which expression can be used to determine the common difference of this sequence?

a)

mm+n\frac{m}{m+n}

b)

m+2nm+n\frac{m+2n}{m+n}

c)

(m+2n)(m+n)\left(m+2n\right)-\left(m+n\right)

d)

m(m+n)m-\left(m+n\right)

8.

An arithmetic sequence has a first term of 8 and a sixth term of 38. What is the 50th term of this sequence?

a)

253

b)

258

c)

302

d)

308

9.

Which sequence has a common difference of 5?

a)

{k, 5k, 25k, 125k, ... }

b)

{k + 1, k + 6, k + 11, k + 16, ... }

c)

{0, 5k, 10k, 15k, ... }

d)

{k + 5, k + 25, k + 125, k + 625, ... }

10.

Which function defines the sequence

-6, -10, -14, -18, ..., where f (1) = -6 ?

a)

f (n) = n - 26

b)

f (n) = -n + 32

c)

f (n) = 4n - 2

d)

f (n) = -4n - 2

11.

Find a6 for an arithmetic sequence where

a1 = 3x + 1 and d = 2x + 6

a)

a6 = 15x + 37

b)

a6 = 9x + 19

c)

a6 = 11x + 25

d)

a6 = 13x + 31

12.

When asked to insert 3 arithmetic means between -3 and 17, what is the common difference?

a)

3

b)

4

c)

-4

d)

5

13.

A theater has 42 seats in the first row. Each row has 5 more seats than the row before it. Which expression represents the number of seats in the nth row?

a)

42 + (n + 5)

b)

42 + (n + 1)(5)

c)

42 + (5n)

d)

42 + (n - 1)(5)

14.

Find the sum of the first 20 terms of the arithmetic sequence: 4, 6, 8, 10, ...

a)

42

b)

84

c)

440

d)

460

15.

Find the sum of an arithmetic sequence whose last term is

a10 = -26 and whose common difference is d = -4.

a)

10

b)

16

c)

-54

d)

-80

16.

Evaluate this series using a formula:

a)

-27

b)

27

c)

-196

d)

196

17.

Find the sum of the positive integers from 4 to 44 inclusive.

a)

444

b)

984

c)

902

d)

1044

18.

A display of cans on a grocery shelf consists of 20 cans on the bottom, 18 cans in the next row, and so on in an arithmetic sequence, until the top row has only 4 cans. How many cans, in total, are in the display?

a)

47

b)

96

c)

108

d)

112

19.

The sum of the first three terms of an arithmetic sequence is 108, and the sum of the next three terms is 183. What is the value of the 11th term?

a)

102 23102\ \frac{2}{3}

b)

119 13119\ \frac{1}{3}

c)

111

d)

186

20.

Given: a1 = 3; an = an-1 - 4


Find the sum of the first 315 terms of this sequence.

a)

-945

b)

-1253

c)

-196875

d)

-393750