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.