Pascal's Triangle

Pascal's Triangle

11th Grade

28 Qs

quiz-placeholder

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Pascal's Triangle

Pascal's Triangle

Assessment

Quiz

Mathematics

11th Grade

Medium

CCSS
HSA.APR.C.5, HSA.APR.A.1, HSA.SSE.B.3

+2

Standards-aligned

Used 6+ times

FREE Resource

28 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the value of 15 choose 5 ?

1,365

3,303

4,368

6,006

5,235

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

Tags

CCSS.HSA.APR.C.5

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

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

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is row 17, term 5 in Pascal's triangle?

2,380

4,368

6,188

12,376

5,284

Tags

CCSS.HSA.APR.C.5

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

Tags

CCSS.HSA.APR.C.5

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

Tags

CCSS.HSA.APR.C.5

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