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Door Numbers

Door Numbers

Cubic Number - 64, 

Prime Number - 83, 89

Lychrel Number - 196

Fibonacci Number - 89

Palindromic Number - 121

6. Irrational Number - pi

Spirals

Spirals

 Watch the DrZonga Live at 5 video for solutions and methods.  If you don't want to know the how, but only the what, then the answers as follows:

The length is 56,54867cm      

DR Zonga's Garden

DR Zonga's Garden

 No Dr Zonga video this week.

Answer: 121.5 square metres

What Happened When

What happened when

 Watch the DrZonga Live at 5 video for solutions and methods.  If you don't want to know the how, but only the what, then the answers as follows:

Question 1:
1)Fall of Roman Empire, 2) Battle of Hastings 3) Angkor Wat Temples, 4) Genghis Khan, 5) Da Vinci, 6) Robinson Crusoe, 7) Boston Tea Party, 8) World population at 1 Billion

Question 2:

Robinson Crusoe 1st edition: 1719 and Boston Tea Party: 1773

Displate

Displate

 Watch the DrZonga Live at 5 video for solutions and methods.  If you don't want to know the how, but only the what, then the answers as follows:
Question 1: Offer 2: €84.88


Question 2: Offer 1 and 2: €56.32

Weeknd

Answer

Sorry, no Live@5 video this week. 


Question 1: 6am, 23rd April


Question 2: Between 9am, 22nd April - 9am 23rd April

Champions League

Answer

Watch the DrZonga Live at 5 video for solutions and methods.  If you don't want to know the how, but only the what, then the answers as follows:


Question 1: 4845 different combinations of teams could qualify.

letter puzzles

Answer

Watch the DrZonga Live at 5 video for solutions and methods.  If you don't want to know the how, but only the what, then the answers as follows:


Question 1: E (for Eight)


Question 2: Multiple answers.  XYA, WYZ, YZ1, YZ, YZAA, XVR, to name but some

Up The Creek

Answer

Watch the DrZonga Live at 5 video for solutions and methods.  If you don't want to know the how, but only the what, then the answers as follows:


Question 1: Greenland

SOCKS

SOCKS Answer

Watch the DrZonga Live at 5 video for solutions and methods.  If you don't want to know the how, but only the what, then the answers as follows:


Question 1: 8 socks


Question 2: 0.23 (2.d.p.)

Running

RUNNING Answer

Watch the DrZonga Live at 5 video for solutions and methods.  If you don't want to know the how, but only the what, then the answers as follows:


Question 1: 8814 m


Question 2: 613 metres

Playing Cards

Cards Answer

Watch the DrZonga Live at 5 video for solutions and methods.  If you don't want to know the how, but only the what, then the answers as follows:


Question 1: 244


Question 2: 24/51 Or 28/51 (due to question ambiguity)

Instagram

Instagram Answer

Please watch my answer video by clicking here (it was my first Instagram Live attempt...).  If you don't want to know the how, but only the what, then the answers as follows:


Question 1: Dr Zonga = 148, Oskar = 240


Question 2: 30 weeks

Corona

Corona Answer

Please watch my answer video by clicking here.  If you don't want to know the how, but only the what, then the answers as follows:


Question 1: 26 days

Dropped Dr Zonga

Answer

While this sounds quite challenging, the way to tackle it is to go letter-by-letter. Start by asking what it is the probability of the first letter you pick-up being a D.  There are 7 letters in total, so you have a 1 in 7 chance of picking up the letter you want. Thus, the probability of choosing D = 1/7


Then, do the same for the second letter, R. Now there are only six letters left on the floor, so the probability of you picking up the R = 1/6.  To recap, the probability of picking up the D and then the R is 1/7 x 1/6 = 1/42.


Continue to do this for each letter and you end up with

1/7 x 1/6 x 1/5 x 1/4 x 1/3 x 1/2 x 1/1 = 1/5040


So, the probability of you picking all letters up in the correct order is 1 in 5040 or 1/5040.


Congratulations to Remek, Peter, Luca and Maya who answered this one correctly within the deadline.

Party Chairs

Party Chairs

Party Chairs

 Well done to anybody who gave these questions a go.  Answer 1: 69 seats Congratulation Titus, in Switzerland, for sending in the first correct answer
Answer 2: 132 metres.  Congratulation Julian, in Switzerland, for sending in the first correct answer
Watch Dean and Julian explain how it all works... 

Dartboards not whiteboards

Check out the answer video to see how to calculate the answers

Q1: 151 out

T20, T19, D17. or

T20, T17, D20

T17, Bull, Bull - Note: Just worked this one out.  It is not in the video :-)

Q2: Prime Numbers

2 x 3 x 5 x 7 x 11 x 13 x 17 x 19 = 9,699,690

Q3: Area of the dartboard

Total dartboard area: 1661.90 squared cm

Bullseye area: 1.77 squared cm

Area of dartboard excluding bullseye: 1660.13 squared cm

Moving again Answer

Which countries might they move to next?


Dr Zonga: Andorra, Belgium, Canada, Dominican Republic, ...?

For Dr Zonga, each country started with the next letter in the alphabet.  Thus, the next country Dr Zonga might move to would start with an E.  Correct answers we received included:

Ecuador (thanks Simon)

Egypt (nice work Julian)

Eritrea (good find Steve)

England (good old blighty - well done Isaiah and Allegra)


Dr Zonga's Friend: Argentina, Denmark, Iceland, Portugal, ...?

This one was slightly trickier to notice.  If we assign numbers to the first letter of each country, based upon its position in the alphabet, they go as follows:

A = 1

D = 4

I = 9

P = 16

These are the square numbers of 1,2,3,4. Thus the next number will be the square of 5. Which is 25. And the letter associated to this number? Y

Many people worked this out, and they all came back with the same country - Yemen. I guess not many countries start with the letter Y...


Well done if you worked out either or both of these. 

Capital Cities - Answer

Best Answer found so far!

Best 'Live Quiz' Answer 😊

Best Answer found so far!

Bratislava and Budapest (169km)


Congratulations Alex in Australia

Best 'Live Quiz' Answer 😊

Best Answer found so far!

Kigali and Kampala (377km)


Great job Allegra in the USA

Best 'Live Quiz' Answer 😊

Best 'Live Quiz' Answer 😊

Best 'Live Quiz' Answer 😊

Moscow to Minsk (676km)


Congratulations Jazmin in Switzerland

Furthest Answer found so far!

Best 'Live Quiz' Answer 😊

Bratislava to Bucharest (805km)


Excellent answer Mr Head!

Furthest Answer found so far!

Furthest Answer found so far!

 Budapest to Bern (885km)


Nice work Isaiah! 

Furthest Answer found so far!

Furthest Answer found so far!

Furthest Answer found so far!

 Seoul to Santiago de Chile (18377km)


Wowser!  Nice find Petra! 

Football Triangles Answer

Question 1

Goal Area (width x height): 

2.44m x 7.32m                            = 17.86 metres squared

Triangle Area (width x height / 2):

0.5m x 0.5m / 2                          = 0.125 metres squared

Two triangles = 0.125 + 0.125 = 0.25   metres squared


% of Goal covered by Triangles =  (Area of Triangles / Area of Goal) x 100

(0.25 / 17.86) x 100 = 1.4%


So only 1.4% of the goal is covered by the triangles.  Great job if you worked this out, or if you managed to get the ball in the triangles!


Question 2

 The Answer is...  £18.9 including his original  £1 sum

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