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Pascal's Triangle and Binomial Theorem

Total questions: 14

Worksheet time: 14mins

Name
Class
Date
1.

Find the element in Pascal's Triangle. 12th row and 5 element.

a)

1

b)

495

c)

330

d)

792

2.

Find the 4th term in the expansion of (4x-3)5.

a)

5760

b)

-4320x2

c)

5760x3

d)

-4320

3.

Find the 14th term of (2x-y)18

a)

-274,176x5y13

b)

274,176x5y13

c)

64,064x5y14

d)

-64,064x5y14

4.

How many terms are the in the expansion of (a+b)5

a)

5

b)

6

c)

25

d)

50

e)

3

5.

Expand the binomial. (4x+3y)4

(a)  

6.

Expand (a4-4b)3

(a)  

7.
a)
A
b)
B
c)
C
d)
D
8.

Find the 2nd term in the expansion of 
(2b + 1)3

a)

12b2

b)

6b

c)

8b3

d)

4b2

9.
a)
A
b)
B
c)
C
d)
D
10.
a)
A
b)
B
c)
C
d)
D
11.

What is row 7 of Pascal's Triangle?

a)

1, 5, 10, 5, 1

b)

1, 5, 10, 10, 5, 1

c)

1, 7, 21, 35, 35, 21, 7, 1

d)

1, 7, 21, 35, 21, 7, 1

12.

What would be the 5th term of the expansion of (n+4)4?

a)

257

b)

256

c)

n4

d)

259

13.

What would be the 2nd term of the expansion of (y+4)4?

a)

253y

b)

16y3

c)

64y

d)

96y2

14.

What would be the 4th term of the expansion of (a+3)4?

a)

108a

b)

12a3

c)

81

d)

27a