Its the start of the New Year! This is where we'll keep with the math problems in 2023. If you want to access the problems from 2022, you can press the button below.
You're getting ready for New Years! You invite 6 friends over and you want to make 3 cookies per every person, including yourself. The recipe calls for 2 cups of flour for 9 cookies. How many cups of flour do you need?
To find the amount of cookies you will need to make, you should multiply the amount of people by the number of cookies you need to make.
(5 friends + 1 yourself) * 3 cookies per person = 18 cookies
Since the recipe accounts for 9 cookies, you would need 2 batches of cookies. This means you need 2 batches * 2 cups of flour per batch = 4 cups of flour.
If a hockey team scores 13% of the time, on average, how many times would they score if they had 307 shots on goal in a season (round to the nearest goal)?
If a team scores 13% of the time, they would score 13/100 shots taken. From here we can set up a proportion:
13/100 = x/307
100x = (13)(307)
x = 3991/100 = 39.91
Since we round to the nearest goal, the answer is 40 goals.
A basketball team averages 14 points per player during a game. There are 6 players on the team who have scored. A player scores a quarter of the points during a game. How many points did they score?
If there are 14 points per player during a game, and there are 6 players who have scored, then there were 84 points scored by that team. Since the player scored a quarter of the points, that means they scored 84/4 points, or, 21 points.
A figure skater does a jump. They are in the air for .63 seconds and complete 4.5 revolutions. About how many rpm is the figure skater spinning? (ignore air resistance and friction)
To find the amount of time it takes to complete one rotation, you would divide the revolutions by the amount of air time:
4.5 revolutions / .63 seconds = 7.143 rev/sec
To convert this to revolutions per minute, one would have to multiply this number by 60.
7.143 rev/sec * 60 sec/min = 428.571 rpm
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