S: MATHS JOURNEY to the STARS of LYPS
FC: MATHS JOURNEY to the STARS of LYPS
1: Our project LYPS constellation Dachshund
2: Read the data from the table | Problem 1.
3: and then arrange the project stars in ascending order (from the smallest to the largest) according to their: | a) distance b) luminocity c) mass
4: The project stars in ascending order | Arcturus | Deneb | Sirius | Bellatrix | 4.36 | 8.6 | 243 | 37 | Solution:
5: according to their distance (light year). | Polaris | Lesath | Electra | Rigel | 431 | 580 | 600 | 780
6: The project stars in ascending order | according to their luminocity. | Arcturus | Sirius | Electra | Polaris | 2500 | 25.4 | 170 | 1225
7: Bellatrix | Lesath | Rigel | Deneb | 6400 | 12300 | 117490 | 196000
8: The project stars in ascending order | according to their mass (solar mass). | Polaris | Sirius | Arcturus | Electra | 1.10 | 2.02 | 4.5 | 5
9: Bellatrix | Lesath | Rigel | Deneb | 8.4 | 11.4 | 18 | 19
10: Problem 2. | The table contains the approximate figures concerning stars of the LYPS project.
11: Read the data from the table and then: a) give the temperature of each star in degrees Celsius b) give the mass of each star in kilogrammes c) give the distance of the stars in kilometres. | Use these units of measurement (the approximate values): Kelvin to Celsius: C = K - 273.15 Solar mass: M = 2 x 10^30 kg 1 ly (light year) = 9,5 x 10^12 km
12: ARCTURUS | a) Temperature: 4290 K = 4016.85 C b) Mass: 1 Mo = 2 x 10^30 kg c) Distance: 37 ly = 351.5 x 10^12 km | Solutions:
14: BELLATRIX | a) Temperature: 22000 K = 21726.85 C b) Mass: 8 Mo = 16 x 10^30 kg c) Distance: 243 ly = 2308.5 x 10^12 km
16: DENEB | a) Temperature: 8525 K = 8251.85 C b) Mass: 1 9 Mo = 38 x 10^30 kg c) Distance: 4 ly = 38 x 10^12 km
18: ELECTRA | a) Temperature: 13484 K = 13310.85 C b) Mass: 5 Mo = 10 x 10^30 kg = 10^31 km c) Distance: 600 ly = 5700 x 10^12 km
20: LESATH | a) Temperature: 22831 K = 22557.85 C b) Mass: 11 Mo = 22 x 10^30 kg c) Distance: 580 ly = 55100 x 10^12 km
22: POLARIS | a) Temperature: 6015K = 5741.85 C b) Mass: 5 Mo = 10 x 10^30 kg = 10^31 kg c) Distance: 431 ly = 4094.5 x 10^12 km
24: RIGEL | a) Temperature: 12130 K = 11856.85 C b) Mass: 1 8 Mo = 36 x 10^30 kg c) Distance: 780 ly = 7410 x 10^12 km
26: SIRIUS | a) Temperature: 9940 K = 9666.85 C b) Mass: 2 Mo = 4 x 10^30 kg c) Distance: 9 ly = 85.5 x 10^12 km
28: Every symbol appearing in the diagram has its numerical value. The numbers outside this diagram are the sums of all symbols' values in a row/column. | Problem 3.
29: a) What is the value of each symbol? | B = 22 L = 20 P = 70 R = 8 | Solution:
30: b) What is the missing number? | R + P + R + L = 8 + 70 + 8 + 20 ? = 106 | Solution:
31: c) The age of stars is usually given in millions or billions of years. B, L, P and R are the first letters of Bellatrix, Lesath, Polaris and Rigel. Find the age of each planet if: the age of Bellatrix = B x 1000000 the age of Lesath = L x 1000000 the age of Polaris = P x 1000000 the age of Rigel = R x 1000000
32: The age of Bellatrix = B x 10^6 = 22 x 10^ 6 The age of Lesath = L x 10^6 = 20 x 10^6 The age of Polaris = P x 10^6 = 70 x 10^6 The age of Rigel = R x 10^6 = 8 x 10^6 | Solution:
33: The age of other LYPS stars: The age of Arcturus = 5 x 10^ 12 The age of Electra = 1.15 x 10^8 The age of Sirius = 3 x 10^8 The age of Deneb = unknown
34: Problem 4. | The alien Bis-ger-li-hat, living on the planet Ataga, has to get a fox, a chicken, and a sack of corn across a river. He has a rowboat, and it can only carry him and one other thing. If the fox and the chicken are left together, the fox will eat the chicken. If the chicken and the corn are left together, the chicken will eat the corn. How should the alien do it?
35: Solution: The alien and the chicken cross the river, (the fox and corn are safe together), he leaves the chicken on the other side and goes back across. | Then the alien takes the fox across the river, and since he can't leave the fox and chicken together, he brings the chicken back. Again, since the chicken and corn can't be left together, he leaves the chicken and he takes the corn across and leaves it with the fox. Then he returns to pick up the chicken and heads across the river one last time.
36: The numbers on the outside of each star and the letters inside, are written in accordance with certain rules. What letter should be inside the last star? | Problem 5.
37: Solution: The missing letter is "G". "G" like GREAT fun with eTwinning, Maths and LYPS.