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Cheryl's Birthday Logic Puzzle

Cheryl's Birthday Logic Puzzle

Assessment

Interactive Video

Mathematics, Fun

6th - 10th Grade

Practice Problem

Hard

CCSS
8.EE.C.7B, 7.EE.B.4A, RI. 9-10.1

+4

Standards-aligned

Created by

Liam Anderson

FREE Resource

Standards-aligned

CCSS.8.EE.C.7B
,
CCSS.7.EE.B.4A
,
CCSS.RI. 9-10.1
CCSS.RI.6.1
,
CCSS.RI.8.1
,
CCSS.RL.6.2
,
CCSS.RL.9-10.2
,
The video tutorial presents a deductive reasoning problem involving Albert, Bernard, and Cheryl. Cheryl gives Albert the month and Bernard the day of her birthday, and they must deduce the exact date. Through logical reasoning, Albert and Bernard eliminate possibilities based on their knowledge and dialogue. The problem is solved by analyzing the information from both perspectives, leading to the conclusion that Cheryl's birthday is on July 16th.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What information does Cheryl provide to Albert and Bernard?

Both get the month.

Albert gets the month, Bernard gets the day.

Albert gets the day, Bernard gets the month.

Both get the day.

Tags

CCSS.8.EE.C.7B

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which months could Albert have been told if he knows Bernard does not know the birthday?

June or August

May or July

July or August

May or June

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If Bernard was told the 14th, which months could still be possible?

June and July

May and June

May and August

July and August

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why can Albert be sure that Bernard does not know the birthday?

Because Albert knows the month is May.

Because Bernard was told the 14th.

Because Albert knows the month is not May or June.

Because Bernard was told the 18th or 19th.

Tags

CCSS.7.EE.B.4A

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What conclusion does Bernard reach after Albert's statement?

He knows the birthday is in July or August.

He knows the birthday is in May.

He still doesn't know the birthday.

He knows the birthday is in June.

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the significance of Bernard knowing the birthday after Albert's deduction?

It means the day is not the 14th.

It means the day is the 18th.

It means the day is the 14th.

It means the day is the 19th.

Tags

CCSS.RI. 9-10.1

CCSS.RI.6.1

CCSS.RI.8.1

CCSS.RL.6.2

CCSS.RL.9-10.2

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What final deduction does Albert make to determine Cheryl's birthday?

The month is July.

The month is June.

The month is May.

The month is August.

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