NEW
Font size
Worksheets1dnl MIF Pascal's triangle
Total questions: 17
Worksheet time: 16mins
What is the value of 15 choose 5 ?
1,365
3,303
4,368
6,006
5,235
What is the binomial expansion of (x + 1)8 ?
x8 + 1
x8 + 8x7 + 16x6 + 24x5 + 32x4 + 24x3 + 16x2 + 8x + 1
x8 + 7x7 + 21x6 + 35x5 + 35x4 + 21x3 + 7x2 + 1
x8 + 8x7 + 28x6 + 56x5 + 70x4 + 56x3 + 28x2 + 8x + 1
x8 + 8x7 + 28x6 + 70x4 + 56x3 + 28x2 + 8x + 1
If the top row of Pascal's Triangle is row 0, then what is the sum of the numbers in the eighth row?
255
256
257
260
264
The diagram shows how the numbers of the Fibonacci sequence can be obtained from the numbers in Pascal's Triangle.
Following the same pattern, which numbers of Pascal's triangle can be added together to give the next number of the Fibonacci sequence?
34 = 1 + 8 + 15 + 9 + 1
34 = 1 + 7 + 10 + 10 + 5 + 1
34 = 1 + 2 + 15 + 15 + 1
34 = 1 + 7 + 15 + 10 + 1
What is row 17, term 5 in Pascal's triangle?
2,380
4,368
6,188
12,376
5,284
What is the Binomial expansion of (x + 1)5 ?
x5 + 5x4 + 10x3 + 10x2 + 5x + 1
x5 + 5x4 + 15x3 + 15x2 + 5x + 1
x5 + 6x4 + 15x3 + 15x2 + 6x + 1
x5 + 1
What is the Binomial expansion of (a − b)7 ?
a7 − b7
a7 + 7a6b + 21a5b2 + 35a4b3 + 35a3b4 + 21a2b5 + 7ab6 + b7
a7 + 7a6b − 21a5b2 + 35a4b3 − 35a3b4 + 21a2b5 − 7ab6 + b7
a7 − 7a6b + 21a5b2 − 35a4b3 + 35a3b4 − 21a2b5 + 7ab6 − b7
The Pascal's Triangle is named after
Mary Pascal
Blain Pascal
Blaise Pascal
Joshua Pascal
Pascal Pascal
Which row of the Pascal's Triangle is the number 6 first found in?
3rd
4th
5th
6th
2nd
How many terms are the in the expansion of (1+b)5
5
6
25
50
3
How is the binomial expansion of (1+b)n different from (1-b)n ?
They have a different number of terms.
Their coefficients have alternate + and - signs.
They have different degrees.
There is no difference
After expanding (1+b)7, what will be the degree?
49
7
3.5
10
1
When the index is 3, how many terms will there be?
2
3
4
5
6
What number can always be found at the left side of the triangle?
0
1
2
3
4
Use the Pascal's Triangle to find the first two terms in the expansion (1+b)7
1 & 7b
1 & 7b²
3 & 4
1 & 2
1 & b7
Who first discovered Pascal's triangle?
Blaise Pascal
An unknown Chinese mathematician
An unknown European mathematician
We actually don't know who discovered this triangle.
Chu Shi-Chien
How many ways can you get to the 6 in the triangle below, starting with the '1' at the top?
Just one
At least six
At most five
No more than four
Exactly three
