- #1
leena19
- 186
- 0
Basic math problems(not homework & not urgent,but would like help anyway)
Let me start by saying,I don't do math for my A/Ls(instead I chose bio :yuck:)and I haven't done any math for a very long loooong time,but I've always loved math.
I have some time off,so I got this set of miscellaneous questions I enjoyed solving and was hoping you-all could help me out with some of the problems I've been having.
Here's just a few
Q1) The 5 tyres of a car (four road tyres and a spare) were each used equally on a car that had traveled 20,000km.The number of kilometers of use of each tyre was
(a)4000 (b) 5000 (c) 16000 (d) 20000 (e)100000
It's definitely not (a),(b),(d) or (e),which leaves me with only one choice, (c),but I'm not very convinced if this is how we find the answer,
(20,000*4)/5 = 16000 ?The following questions I have no idea how to do.I'm not expecting a complete solution,but any hints on how i could solve them would be much appreciated
Q2) The largest area of a right triangle having positive integer side lengths and a circle of radius 2 inscribed is
(a)24 (b)30 (c) 54 (d) 60 (e)48
drew a triangle and the circle & tried everything i could think of to solve it,still no luck .Q3) 3 distinct corners of a cube of volume 1m3 are P,Q and R.What could be the area of the triangle PQR in square metres ?
I think the answer is 1/2 ,but it doesn't feel correct?Q4) If a sequence of numbers a1,a2,a3,...is given by an+1 = 1/(1-an ) for n>1 and a1 = 1/4 ,then the value of a2005 is ...?
(a)1/4 (b) 4/3 (c) -3 (d) -1/2 (e) 2/3
I have no idea how to do this ?Q5) Which is the smallest number in
[tex]\sqrt[3]{7}[/tex] - [tex]\sqrt[3]{6}[/tex] , [tex]\sqrt[3]{8}[/tex] - [tex]\sqrt[3]{7}[/tex] , [tex]\sqrt[3]{9}[/tex] - [tex]\sqrt[3]{8}[/tex] , [tex]\sqrt[3]{10}[/tex] - [tex]\sqrt[3]{9}[/tex] , [tex]\sqrt[3]{11}[/tex] - [tex]\sqrt[3]{10}[/tex] ?
Is there a way of doing this without actually having to use a calculator to find each value?
Let me start by saying,I don't do math for my A/Ls(instead I chose bio :yuck:)and I haven't done any math for a very long loooong time,but I've always loved math.
I have some time off,so I got this set of miscellaneous questions I enjoyed solving and was hoping you-all could help me out with some of the problems I've been having.
Here's just a few
Q1) The 5 tyres of a car (four road tyres and a spare) were each used equally on a car that had traveled 20,000km.The number of kilometers of use of each tyre was
(a)4000 (b) 5000 (c) 16000 (d) 20000 (e)100000
It's definitely not (a),(b),(d) or (e),which leaves me with only one choice, (c),but I'm not very convinced if this is how we find the answer,
(20,000*4)/5 = 16000 ?The following questions I have no idea how to do.I'm not expecting a complete solution,but any hints on how i could solve them would be much appreciated
Q2) The largest area of a right triangle having positive integer side lengths and a circle of radius 2 inscribed is
(a)24 (b)30 (c) 54 (d) 60 (e)48
drew a triangle and the circle & tried everything i could think of to solve it,still no luck .Q3) 3 distinct corners of a cube of volume 1m3 are P,Q and R.What could be the area of the triangle PQR in square metres ?
I think the answer is 1/2 ,but it doesn't feel correct?Q4) If a sequence of numbers a1,a2,a3,...is given by an+1 = 1/(1-an ) for n>1 and a1 = 1/4 ,then the value of a2005 is ...?
(a)1/4 (b) 4/3 (c) -3 (d) -1/2 (e) 2/3
I have no idea how to do this ?Q5) Which is the smallest number in
[tex]\sqrt[3]{7}[/tex] - [tex]\sqrt[3]{6}[/tex] , [tex]\sqrt[3]{8}[/tex] - [tex]\sqrt[3]{7}[/tex] , [tex]\sqrt[3]{9}[/tex] - [tex]\sqrt[3]{8}[/tex] , [tex]\sqrt[3]{10}[/tex] - [tex]\sqrt[3]{9}[/tex] , [tex]\sqrt[3]{11}[/tex] - [tex]\sqrt[3]{10}[/tex] ?
Is there a way of doing this without actually having to use a calculator to find each value?
Last edited: