Astronomical units, light-years and parallax
Grade 9 Science Worksheet - Challenge Me

Circle the best answer.
Four plan cards, labeled A to D. Which plan would measure a nearby star's parallax, by Esme's reading?
- Photograph it from two nearby towns on one clear, moonless night
- Measure how bright it looks
- Photograph it against far stars, then again six months later
- Photograph it twice in one night
“Parallax diagram:” Why can parallax not be used for very distant stars, by Jun's reading?
- Far stars shift the most, so their images blur
- Their light is too old to use
- Their shift is too tiny to measure
- Earth's orbit is too wide
Distance (parsecs) = 1 ÷ parallax (arcseconds); smallest parallax 0.001; 1 parsec ≈ 3.26 light-years. A space telescope can measure parallaxes as small as 0.001 arcseconds. About how far away can it reach, by Kira's math?
- About 1 parsec
- About 0.001 parsecs
- About 1,000 light-years
- About 1,000 parsecs, about 3,260 light-years
Luz's friend says a light-year is how long a star lives. Which response is best?
Ruler labeled 1 light-year = about 9.46 trillion km. Ruler labeled 1 light-year = about 9.46 trillion km. 1 light-year = about 9.46 trillion km - Agree: it is one year in space
- Disagree: it is a distance, about 9.46 trillion km
- Disagree: it is a speed
- Agree: it is a star's life span
Milo's cousin says the farthest stars show the biggest parallax. Which response is best?
Parallax diagram: a near star and a far star against a distant background. Parallax diagram: a near star and a far star against a distant background. Parallax diagram near star far star distant background - Disagree: each star shows the same parallax shift against the background
- Agree: a big parallax means a big distance
- Agree: farther things move more
- Disagree: nearer stars shift more, since distance = 1 ÷ parallax
The IAU fixed 1 AU at exactly 149,597,870,700 m. Why fix it exactly, by Noah's reading?
Ruler labeled 1 AU = 149,597,870,700 m (IAU). Ruler labeled 1 AU = 149,597,870,700 m (IAU). 1 AU = 149,597,870,700 m (IAU) - Because it equals a light-year
- So every scientist uses the same fixed value
- Because Earth's orbit is a perfect circle around the Sun
- Because it measures one year
Distance (parsecs) = 1 ÷ parallax; 1 parsec ≈ 3.26 light-years. X: parallax 0.25; Y: 8 light-years. Star X has a parallax of 0.25 arcseconds. Star Y is 8 light-years away. Which is nearer, by Pia's math?
- They are the same distance
- X, at 4 light-years
- Y, at 8 light-years; X is about 13
- X, since 0.25 is a small number
Distance (parsecs) = 1 ÷ parallax; 1 parsec ≈ 3.26 light-years; parallax 0.38. A bright star's parallax is 0.38 arcseconds. About how many light-years away is it, by Zee's math?
- About 1.2 light-years
- About 8.6 light-years
- About 0.12 light-years
- About 2.6 light-years
1 parsec ≈ 3.26 light-years; distance 10 parsecs. A star is 10 parsecs away. About how long does its light take to reach Ari?
- About 3.1 years
- No time; it arrives at once
- About 10 years
- About 33 years
About how many AU make 1 parsec, and why, by Bo's reading?
Parallax triangle: 1 AU baseline, 1 arcsecond angle, distance 1 parsec. Parallax triangle: 1 AU baseline, 1 arcsecond angle, distance 1 parsec. Parallax triangle 1 AU distance 1 parsec 1 arcsecond Not to scale. - 1 AU, by definition
- About 206,265 AU, where 1 AU spans 1 arcsecond
- About 63,241 AU
- About 3.26 AU