Mathematically (im)possible? Mystery Cache
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Mathematically (im)possible?
A cache by [DELETED_USER]
Hidden
:
10/22/2012
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Difficulty:
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Terrain:
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Size: 
(small)
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School days were the best days of your life weren't they? And surely maths class was the best of all??
Solve a few "simple" maths questions that the kids find easy these days, and the cache will be yours.
These are all GCSE/Standard Grade level questions, so if you have a 16 year old student in the house this should be "easy" :-)
Cache can be found at N55 AB.CDE W004 FG.HIJ
A= K/M
B=Z/2
C=U+W
D=Y-T
E=L+X
F=P+Q
G=Y-(T+Q)
H=R/S
I=V-(N-S)
J=K+S
You can check your answers for this puzzle on GeoChecker.com.
Question 1
Triangle ABC is isosceles. AB = AC = 12cm . Angle ABC is 55 degrees.
Calculate the area of the triangle correct to 3 significant figures.
Answer = KL.7 cm²
Question 2
Steven and Sarah divide £94.50 in the ratio 11 : 4.
How much does Sarah receive?
Answer = £MN.P0
Question 3
The temperature from a factory oven varies inversely as the square of the distance from the oven.
The temperature 2 metres from the oven is 50 degrees Celsius.
Calculate the temperature 3.5 metres from the oven. Give your answer to 2 decimal places.
Answer = QR.ST degrees Celsius
Question 4
A company makes cassette tapes.
The total cost, P pounds, of making n cassette tapes is given by the formula P = a + bn , where a and b are constants.
The cost of making 1000 cassette tapes is £58,000.
The cost of making 2000 cassette tapes is £64,000.
Calculate the values of a and b.
Answer = U=first digit of a, V=b
Question 5
The distance between two points on a map is 5 cm correct to the nearest centimetre.
(a) Write down the (i) least upper bound of the measurement (ii) greatest lower bound of the measurement.
(b) The scale of the map is 1 to 20 000. Work out the actual distance in real life (in kilometres) between the upper and lower bounds. (you need the answers from a to work out b)
Answer = W.X km
Question 6
AB : AC = 1 : 3
(a) Work out the length of CD.
(b) Work out the length of BC.
Answer = Y=a, Z=b
Additional Hints
(Decrypt)
va gur zvqqyr bs sbhe