# Number - Pi

**Question 1**

$\pi\approx3.141592654$

a) Find the date (in American style mm/dd) that represents $\pi$

a
$3.14$ ($14$th March)

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b) Find the date and hour (in American style mm/dd) that represents $\pi$

a
$14$th March at $1$am or $3$pm

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c) Find the date (in American style mm/dd), hour and minute that represents $\pi$

a
$14$th March at $1$am and $59$ minutes

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d) Find the date (in American style mm/dd), hour, minute and second that represents $\pi$

a
$14$th March at $1$am, $59$ minutes, $26$ or $27$ seconds (depending on your rounding)

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**Question 2**

Calculate the following

a) $\frac{22}{7}$

a
$3.142857142857\dots$

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b) $\frac{355}{113}$

a
$3.14159292\dots$

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c) $\frac{105248}{33489}$

a
$3.142763295\dots$

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d) $4\times\frac{26712}{34000}$

a
$3.142588235\dots$

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**Question 3**

Use your calculator to calculate to following. Round your answer to $2$ decimal places

a) $4(1-\frac13+\frac15)$

a
$3.47$

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b) $4(1-\frac13+\frac15-\frac17+\frac19)$

a
$3.34$

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c) $4(1-\frac13+\frac15-\frac17+\frac19-\frac{1}{11}+\frac{1}{13})$

a
$3.28$

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d) $4(1-\frac13+\frac15-\frac17+\frac19-\frac{1}{11}+\frac{1}{13}-\frac{1}{15}+\frac{1}{17})$

a
$3.25$

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**Question 4**

Answer the following

a) If you continued the pattern in the previous question what would the result get close to?

a
$\pi$

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**Question 5**

Use your calculator to calculate to following

a) $2^{5^{0.4}}-0.6-\left(\frac{0.3^9}{7}\right)^{0.8^{0.1}}$

a
$\pi$

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b) $\sqrt{\frac{40}{3}-\sqrt{12}}$

a
$3.141533339\dots$

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c) $\frac{19\sqrt7}{16}$

a
$3.141829682\dots$

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d) $\sqrt[3]{31}$

a
$3.141380652\dots$

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**Question 6**

Answer the following (internet research needed)

a) When is the first time zero appears in $\pi$?

a
In the $32$nd digit

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b) When is Albert Einstein's birthday?

a
$14$th March - $\pi$ day!

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c) Where did the symbol $\pi$ come from?

a
It is the Greek symbol for Perimeter!

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d) What is special about the sentence "May I have a large container of coffee?"

a
Count the letters, $3,1,4,1,5,9,2,6$ the first $8$ digits of $\pi$

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e) What is the most number of digits of $\pi$ memorised?

a
$70,000$ by Rajveer Meena on $21$st March $2015$. It took $10$ hours to do the recall

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**Question 7**

Answer the following

a) Why should you never talk to $\pi$?

a
Because they will go on forever

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b) Which animal celebrates $\pi$ day?

a
A Python

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c) What is Isaac Newton's favorite dessert?

a
Apple Pie

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**Question 8**

Find the circumference of the circle with the following diameter. Leave your answers in terms of $\pi$

a) $1$

a
$\pi$

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b) $2$

a
$2\pi$

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c) $5$

a
$5\pi$

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d) $\frac13$

a
$\frac13\pi$

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**Question 9**

Find the circumference of the circle with the following radius. Leave your answers in terms of $\pi$

a) $1$

a
$2\pi$

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b) $6$

a
$12\pi$

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c) $\frac12$

a
$\pi$

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d) $0.7$

a
$1.4\pi$

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**Question 10**

Find the area of the circle with the following radius. Leave your answers in terms of $\pi$

a) $1$

a
$\pi$

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b) $4$

a
$16\pi$

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c) $10$

a
$100\pi$

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d) $\frac14$

a
$\frac{1}{16}\pi$

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**Question 11**

Find the area of the circle with the following circumference. Leave your answers in terms of $\pi$

a) $2$

a
$\pi$

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b) $10$

a
$25\pi$

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c) $1$

a
$\frac12\pi$

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d) $5$

a
$\frac{25}{4}\pi$

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**Question 1**

$\pi\approx3.141592654$

a) Find the date (in American style mm/dd) that represents $\pi$

b) Find the date and hour (in American style mm/dd) that represents $\pi$

c) Find the date (in American style mm/dd), hour and minute that represents $\pi$

d) Find the date (in American style mm/dd), hour, minute and second that represents $\pi$

**Question 2**

Calculate the following

a) $\frac{22}{7}$

b) $\frac{355}{113}$

c) $\frac{105248}{33489}$

d) $4\times\frac{26712}{34000}$

**Question 3**

Use your calculator to calculate to following. Round your answer to $2$ decimal places

a) $4(1-\frac13+\frac15)$

b) $4(1-\frac13+\frac15-\frac17+\frac19)$

c) $4(1-\frac13+\frac15-\frac17+\frac19-\frac{1}{11}+\frac{1}{13})$

d) $4(1-\frac13+\frac15-\frac17+\frac19-\frac{1}{11}+\frac{1}{13}-\frac{1}{15}+\frac{1}{17})$

**Question 4**

Answer the following

a) If you continued the pattern in the previous question what would the result get close to?

**Question 5**

Use your calculator to calculate to following

a) $2^{5^{0.4}}-0.6-\left(\frac{0.3^9}{7}\right)^{0.8^{0.1}}$

b) $\sqrt{\frac{40}{3}-\sqrt{12}}$

c) $\frac{19\sqrt7}{16}$

d) $\sqrt[3]{31}$

**Question 6**

Answer the following (internet research needed)

a) When is the first time zero appears in $\pi$?

b) When is Albert Einstein's birthday?

c) Where did the symbol $\pi$ come from?

d) What is special about the sentence "May I have a large container of coffee?"

e) What is the most number of digits of $\pi$ memorised?

**Question 7**

Answer the following

a) Why should you never talk to $\pi$?

b) Which animal celebrates $\pi$ day?

c) What is Isaac Newton's favorite dessert?

**Question 8**

Find the circumference of the circle with the following diameter. Leave your answers in terms of $\pi$

a) $1$

b) $2$

c) $5$

d) $\frac13$

**Question 9**

Find the circumference of the circle with the following radius. Leave your answers in terms of $\pi$

a) $1$

b) $6$

c) $\frac12$

d) $0.7$

**Question 10**

Find the area of the circle with the following radius. Leave your answers in terms of $\pi$

a) $1$

b) $4$

c) $10$

d) $\frac14$

**Question 11**

Find the area of the circle with the following circumference. Leave your answers in terms of $\pi$

a) $2$

b) $10$

c) $1$

d) $5$

__Answers__

**Question 1**

a) $3.14$ ($14$th March)

b) $14$th March at $1$am or $3$pm

c) $14$th March at $1$am and $59$ minutes

d) $14$th March at $1$am, $59$ minutes, $26$ or $27$ seconds (depending on your rounding)

**Question 2**

a) $3.142857142857\dots$

b) $3.14159292\dots$

c) $3.142763295\dots$

d) $3.142588235\dots$

**Question 3**

a) $3.47$

b) $3.34$

c) $3.28$

d) $3.25$

**Question 4**

a) $\pi$

**Question 5**

a) $\pi$

b) $3.141533339\dots$

c) $3.141829682\dots$

d) $3.141380652\dots$

**Question 6**

a) In the $32$nd digit

b) $14$th March - $\pi$ day!

c) It is the Greek symbol for Perimeter!

d) Count the letters, $3,1,4,1,5,9,2,6$ the first $8$ digits of $\pi$

e) $70,000$ by Rajveer Meena on $21$st March $2015$. It took $10$ hours to do the recall

**Question 7**

a) Because they will go on forever

b) A Python

c) Apple Pie

**Question 8**

a) $\pi$

b) $2\pi$

c) $5\pi$

d) $\frac13\pi$

**Question 9**

a) $2\pi$

b) $12\pi$

c) $\pi$

d) $1.4\pi$

**Question 10**

a) $\pi$

b) $16\pi$

c) $100\pi$

d) $\frac{1}{16}\pi$

**Question 11**

a) $\pi$

b) $25\pi$

c) $\frac12\pi$

d) $\frac{25}{4}\pi$

**Question 1**

$\pi\approx3.141592654$

a) Find the date (in American style mm/dd) that represents $\pi$

b) Find the date and hour (in American style mm/dd) that represents $\pi$

c) Find the date (in American style mm/dd), hour and minute that represents $\pi$

d) Find the date (in American style mm/dd), hour, minute and second that represents $\pi$

**Question 2**

Calculate the following

a) $\frac{22}{7}$

b) $\frac{355}{113}$

c) $\frac{105248}{33489}$

d) $4\times\frac{26712}{34000}$

**Question 3**

Use your calculator to calculate to following. Round your answer to $2$ decimal places

a) $4(1-\frac13+\frac15)$

b) $4(1-\frac13+\frac15-\frac17+\frac19)$

c) $4(1-\frac13+\frac15-\frac17+\frac19-\frac{1}{11}+\frac{1}{13})$

d) $4(1-\frac13+\frac15-\frac17+\frac19-\frac{1}{11}+\frac{1}{13}-\frac{1}{15}+\frac{1}{17})$

**Question 4**

Answer the following

a) If you continued the pattern in the previous question what would the result get close to?

**Question 5**

Use your calculator to calculate to following

a) $2^{5^{0.4}}-0.6-\left(\frac{0.3^9}{7}\right)^{0.8^{0.1}}$

b) $\sqrt{\frac{40}{3}-\sqrt{12}}$

c) $\frac{19\sqrt7}{16}$

d) $\sqrt[3]{31}$

**Question 6**

Answer the following (internet research needed)

a) When is the first time zero appears in $\pi$?

b) When is Albert Einstein's birthday?

c) Where did the symbol $\pi$ come from?

d) What is special about the sentence "May I have a large container of coffee?"

e) What is the most number of digits of $\pi$ memorised?

**Question 7**

Answer the following

a) Why should you never talk to $\pi$?

b) Which animal celebrates $\pi$ day?

c) What is Isaac Newton's favorite dessert?

**Question 8**

Find the circumference of the circle with the following diameter. Leave your answers in terms of $\pi$

a) $1$

b) $2$

c) $5$

d) $\frac13$

**Question 9**

Find the circumference of the circle with the following radius. Leave your answers in terms of $\pi$

a) $1$

b) $6$

c) $\frac12$

d) $0.7$

**Question 10**

Find the area of the circle with the following radius. Leave your answers in terms of $\pi$

a) $1$

b) $4$

c) $10$

d) $\frac14$

**Question 11**

Find the area of the circle with the following circumference. Leave your answers in terms of $\pi$

a) $2$

b) $10$

c) $1$

d) $5$

__Answers__

**Question 1**

a) $3.14$ ($14$th March)

b) $14$th March at $1$am or $3$pm

c) $14$th March at $1$am and $59$ minutes

d) $14$th March at $1$am, $59$ minutes, $26$ or $27$ seconds (depending on your rounding)

**Question 2**

a) $3.142857142857\dots$

b) $3.14159292\dots$

c) $3.142763295\dots$

d) $3.142588235\dots$

**Question 3**

a) $3.47$

b) $3.34$

c) $3.28$

d) $3.25$

**Question 4**

a) $\pi$

**Question 5**

a) $\pi$

b) $3.141533339\dots$

c) $3.141829682\dots$

d) $3.141380652\dots$

**Question 6**

a) In the $32$nd digit

b) $14$th March - $\pi$ day!

c) It is the Greek symbol for Perimeter!

d) Count the letters, $3,1,4,1,5,9,2,6$ the first $8$ digits of $\pi$

e) $70,000$ by Rajveer Meena on $21$st March $2015$. It took $10$ hours to do the recall

**Question 7**

a) Because they will go on forever

b) A Python

c) Apple Pie

**Question 8**

a) $\pi$

b) $2\pi$

c) $5\pi$

d) $\frac13\pi$

**Question 9**

a) $2\pi$

b) $12\pi$

c) $\pi$

d) $1.4\pi$

**Question 10**

a) $\pi$

b) $16\pi$

c) $100\pi$

d) $\frac{1}{16}\pi$

**Question 11**

a) $\pi$

b) $25\pi$

c) $\frac12\pi$

d) $\frac{25}{4}\pi$

__Solutions__

**Question 1**

a)

b)

c)

d)

**Question 2**

a)

b)

c)

d)

**Question 3**

a)

b)

c)

d)

**Question 4**

a)

**Question 5**

a)

b)

c)

d)

**Question 6**

a)

b)

c)

d)

e)

**Question 7**

a)

b)

c)

**Question 8**

a)

b)

c)

d)

**Question 9**

a)

b)

c)

d)

**Question 10**

a)

b)

c)

d)

**Question 11**

a)

b)

c)

d)