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2Individual Competition Part 2
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326. A has coordinates (4,4) and B is obtained by
rotating A about the origin O through an angle of
135º anti-clockwise. Calculate the area of
triangle AOB. A) ?2 B) 2?2
C) 4?2 D) 8?2 E) 16?2
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427. At Kaynem Daly High School, the Maths Club
has 15 members and the Science Club has 12. If a
total of 13 students belong to only one of the
two clubs, how many belong to both clubs? A) 2
B) 6 C) 7 D) 12 E) 14
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528. Find the black area, given that all curves
are semi-circles, the smallest having diameter 1
unit A) 9? - 4 B) ? C) 3? - 1 D) 2?
E) 9? /4
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629. If Joe drives to work at 40km/h, he is one
minute late, and if he drives at 45 km/h, he is
one minute early. How far does he drive to
work? A) 72km B) 18km C) 48km D)
12km E) 24km
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730. The line y 2x - 1 is reflected in the
line y x. What is the equation of the image
line? A) 2y - x 2 B) 2y 2x 1 C)
3x - 2y -1 D) x - 2y -1 E) 3x - 2y -2
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831. Which is smallest? A) 2001 B) 2001 C)
200 - 1 D) 200 1 E) 200-1
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932. Find angle A A) 45º B) 35º C) 40º D)
50º E) 55º
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1033. In blackjack, you receive 2 cards at the
start. The object is to get as close to 21 as
possible without going over. Your 2 cards are
7? and 9?. Find the probability that if you
take one more card from the deck, you will have
more than 21. A) 13/15 B) 14/25
C) 3/5 D) 1/2 E) 1/3
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1134. Which of the following is the best estimate
for A) 0.45 B) 0.5 C)
0.55 D) 0.6 E) 0.65
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1235. a 1 b 0.5 c 1.1
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0.6 0.6
1.2 A) a lt b and b lt c B) a gt b and c gt
a C) b lt a and c gt b D) b gt a and c gt a
E) c lt b lt a
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1336. Two men running towards each other at 6m/s
and 9m/s are 1km apart. How long before they
meet? A) 40 seconds B) 400 seconds C)
sec.s D) sec.s E)
sec.s
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1437. Two dice are thrown. The probability that
the sum will be prime is A) 5/12
B) 7/18 C) 2/9 D) 5/36 E)
19/36
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1538. The area of the triangle formed by the
lines y -2, y 4x 6 and x y
6 is equal to A) 80 B)
40 C) 48 D) 64 E) 32
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1639. Every person at a meeting shook hands with
every other person, making a total of 210
handshakes. How many people at the meeting? A)
14 B) 15 C) 17
D) 20 E) 21
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1740. If the circle radius is 2 units, find the
total length of all the curves in the pattern.
A) 10? B) 20? C) 40?/3 D)
64?/3 E) 76?/3
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1841. When it has been evaluated, how many digits
are then in the product
(218)(512) A) 14 B) 12
C) 10 D) 13 E) 30
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1942. Solve
A) x gt 1 B) x lt 1 C) x lt 0 or x
gt 1 D) x lt -1 or x gt 1 E) x gt -1
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2043. When evaluated, what is the units digit of
72001 A) 7
B) 1 C) 3 D) 9 E)
8
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2144. A line is divided in the ratio 23. The
larger section is then divided in the ratio 34,
and the smaller of these two segments is
126cm. How long is the line? A) 490cm B)
520cm C) 480cm D) 350cm E) 630cm
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2245. 1st 2nd 3rd
How many dots in the
2001th pattern? A) 7999 B) 8001
C) 8003 D) 8005 E) 8007
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2346. Starting with a certain number, Ada divided
by 2 and then multiplied by 3. She got 1/8. Her
answer was incorrect because she should have
multiplied when she divided, and vice versa. What
should her answer have been? A) 12 B) 1/18 C)
1/12 D) 18 E) 6
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2447. An ant wants to get from P to Q (which is
directly below P), circling the cylinder just
once. The circumference is 8cm, the height 6cm.
What is the shortest distance (in cm)?
A) 8 B) 9 C) 10 D) 10.5 E) ?110
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2548. 108 eeks equals 1 oodle, and there are 97
oodles to the kg. Which is most likely to weigh a
million eeks? A) a bacterium B) a mouse C) a
man D) a planet E) a mature elephant
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2649. How many spots on 12 dice? A) 198 B)
210 C) 240 D) 252 E) 264
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2750. Find the product of (50 - 100)(50 - 99)(50 -
98) . .
...(50 - 2)(50 - 1)(50 -
0) A) -10100 B) - 5050 C) 0
D) 5050 E) 10100
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28That's all folks!