Download 11-14 - Pop Maths

POP MATHS QUIZ
11 - 14
1.
Jane receives £1 a week pocket money. She spends 1/3 on computer games
and 2/3 on compact discs. If the price of computer games goes down 6% and
the price of compact discs goes up 12%, what % increase does she need in her
pocket money?
2.
What are the next 2 terms in the series:
6, 7, 13, 16, 21, 26, 30, 37, 40, 49, 51
3.
A combination lock uses the numbers 2153. Jason remembers the four
numbers, and remembers that the 5 is in the third position. How many possible
combinations are there?
4.
The letters in the sum:
THIS
IS
HERE
each represents a unique number between 1 and 9. Write down the number
represented by the word HERE.
5.
Think of a number under 10. Add 2. Square the new number. Subtract the
square of the original number. Subtract 4, then divide by the number you
first thought of. What is the number you get?
6.
A man walks due south for 1 mile. He then walks due East for 1 mile, and
finally due North 1 mile. If he finishes up where he started. Where is he?
(multiple answers)
7.
Assuming that Saturn, the earth and the sun are on a line, with the earth between
the other two... An astronomer on earth observes Saturn. The light has left the
sun, been reflected off Saturn and then hits the astronomer’s telescope. How
long has the light been travelling? (The distance from the sun to Saturn is 886
million miles. The distance from the Earth to the sun is 92 million miles and the
speed of light is 186,000 miles a second. (The effect of the motion of the sun,
Earth and Saturn should be ignored.)
8.
In diagram c how many rectangles are there?
9.
A builder can fill a hole with 135 cubic bricks of side 20 cm. How many cubic
bricks of side 30 cm are required to fill the hole?
10.
Little Emma is taken to the zoo. She is taken to the stork and antelope
enclosure. Unfortunately she cannot see clearly because of the fences. She
can however see clearly the number of legs. There are 34 legs. She is told
that the total number of animals is 12. How many storks are there?
PAUSE.........
PMQQUEST/PMQ1114.DOC
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11.
If you put one piece of paper on square 1 of a chess (or draughts) board, 2 on
top of each other on the second, 4 on the third and so on. How many times
larger would the pile be on the 64th square than the distance to the sun?
(The thickness of the paper is 0.0001 m and the distance from the sun is 150 million
kilometres).
12.
A three digit number is the sum of the cube of its digits, i.e., xyz = x3 + y3 + z3
Given that x is 1, what are y and z? All numbers are different.
13.
A crane is 40 metres tall with a horizontal arm of 30 metres. If the crane topples
over, what is the largest possible height of a point on the crane at the time the
end of the arm strikes the ground?
14.
If January 1st 1990 was counted as day one, what is today?
15.
A man can run at 5 metres a second. His bus averages 10 metres a second
when it is moving. It stops every three hundred metres and waits for one
minute. If he chases after the bus, does he catch it?
16.
Find a number under 50 such that if you add 2 and reverse the digits you get the
same number as multiplying the original number by 2.
17.
Find a number, y, under 10 and an x such that, y * 100 = 1 + x + x2 + x3.
18.
Choose any three digits. Each digit must be between 1 and 9 and not repeated.
Arrange in ascending and descending order. Subtract the smaller from the
larger. Repeat the process until you get repetition. What is the number?
19.
A man runs at 10 miles an hour, but cannot keep this up. After each 30 minutes
his speed drops by 1 mile an hour. How long does he take to do a marathon of
26 miles?
20.
This diagram represents a magic square:
31
27
30
24
18
14
17
11
33
29
32
26
25
21
24
18
Put a ring round any of the sixteen numbers. Put lines vertically and horizontally
through the ringed number. Choose any number that is not on the lines (leaving
a choice of 9). Again put a ring round the chosen number and draw horizontal
and vertical lines through the new number and so on. Add the four numbers that
you have ringed. What number do you get?
TIE BREAKER
PMQQUEST/PMQ1114.DOC
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Use the numbers 3, 7, 2, 11 and 20 and any maths symbol to get as near as possible to
174. First team to call out correct solution is the winner.
Q4.
THIS
 IS
HERE
Q7.
886 million
92 million
Saturn
Earth
Sun
Q8.
Q20.
31
27
18
14
33
29
25
21
PMQQUEST/PMQ1114.DOC
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