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Number - Pi

  a - answer    s - solution    v - video

Question 1


$\pi\approx3.141592654$

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

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

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

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



Question 2


Calculate the following

a) $\frac{22}{7}$  a s v
b) $\frac{355}{113}$  a s v
c) $\frac{105248}{33489}$  a s v
d) $4\times\frac{26712}{34000}$  a s v


Question 3


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

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

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



Question 4


Answer the following

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



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 s v
b) $\sqrt{\frac{40}{3}-\sqrt{12}}$  a s v
c) $\frac{19\sqrt7}{16}$  a s v
d) $\sqrt[3]{31}$  a s v


Question 6


Answer the following (internet research needed)

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

b) When is Albert Einstein's birthday?  a s v

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

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

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



Question 7


Answer the following

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

b) Which animal celebrates $\pi$ day?  a s v

c) What is Isaac Newton's favorite dessert?  a s v



Question 8


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

a) $1$  a s v
b) $2$  a s v
c) $5$  a s v
d) $\frac13$  a s v


Question 9


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

a) $1$  a s v
b) $6$  a s v
c) $\frac12$  a s v
d) $0.7$  a s v


Question 10


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

a) $1$  a s v
b) $4$  a s v
c) $10$  a s v
d) $\frac14$  a s v


Question 11


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

a) $2$  a s v
b) $10$  a s v
c) $1$  a s v
d) $5$  a s v