10. In the musical Rent, a song starts "Five hundred and twenty five thousand six hundred minutes". Which of the following is closest to this length of time?
a week
a month
a season (3 months)
a year
a decade
11. Which of the following is closest to the value 1?
1/1 +
1/1
2/2 +
2/2
3/3 +
3/3
4/4 +
4/4
5/5 +
5/5
12. In a group of 48 children, the ratio of boys to girls is 3 : 5. How many boys must join the group to make the ratio of boys to girls 5 : 3?
24
32
40
48
56
13. It has just turned 22:22 on a 24 hour clock. How many minutes until all 4 digits are the same again?
38
61
98
128
159
14. You are given a certain number. The difference between
1/3
of that number and
1/4
of the same number is 3. What is the number given?
24
36
48
60
72
15. What is the smallest prime number that is the sum of three different prime numbers?
Great quiz! I kinda took my time and before I knew it I had 1 minute for 4 questions! I think the last question is pretty easy and is probably that low because people might be running out of time. Maybe saving a longer question for the end would work best? Maybe the multiples question or kilometres question?
TBH I think part of the reason the answer rate for the last question is low is because a lot of people are getting tripped up on the fact that 15 isn't prime.
I know that was very nearly the case for me: I was so focused on whether they could be split into prime numbers I wasn't thinking about whether they were prime themselves. I only caught myself from selecting the wrong answer at the last second.
When the number is negative, what I do is mentally add a minus sign in front of all odd powers of x: in fact i sometimes even rewrite this "negative variant" on paper to go through it more easily.
An equation has to have an = sign in it, so for Q6 you should put "what are the solutions to the equation x^3 - 2x^2 - 5x + 6 = 0?". Or you could change it to "what are the roots of the polynomial x^3 - 2x^2 - 5x + 6?"
Isn't the answer 15? (3 + 5 + 7 = 15)
I know that was very nearly the case for me: I was so focused on whether they could be split into prime numbers I wasn't thinking about whether they were prime themselves. I only caught myself from selecting the wrong answer at the last second.
You need to write "=0".
Or, alternatively, call it a polynomial and ask for its roots.