The University Interscholastic League Number Sense Test HS Invitational A 2010 ì ì Final ______ ______ Contestant's Number ___________ ______ ______ 2nd ______ ______ 1st Read directions carefully DO NOT UNFOLD THIS SHEET Score Initials before beginning test UNTIL TOLD TO BEGIN Directions: Do not turn this page until the person conducting this test gives the signal to begin. This is a ten-minute test. There are 80 problems. Solve accurately and quickly as many as you can in the order in which they appear. ALL PROBLEMS ARE TO BE SOLVED MENTALLY. Make no calculations with paper and pencil. Write only the answer in the space provided at the end of each problem. Problems marked with a ( * ) require approximate integral answers; any answer to a starred problem that is within five percent of the exact answer will be scored correct; all other problems require exact answers. The person conducting this contest should explain these directions to the contestants. STOP -- WAIT FOR SIGNAL! (1) 210 21 2010 = _______________________ q (2) = ________________________________ 3 4 8 9 ‚ (3) $20.10 3 = $ __________________________ ƒ (4) 2.01 2 21 = ________________ (decimal) q 1 10 (5) .3 = ________________________________ 4 9 ƒ (6) 44 % __________________ (proper fraction) = (7) 9 6 3 6 9 = _______________________ ‚ ƒ q (8) 34 43 = ________________________________ ‚ (9) 63 15 82 15 = ______________________ ‚ q ‚ *(10) 753 936 842 = ________________________ q (11) 17 = ___________________________________ 2 (12) If 8 ounces of M&M's costs $1.10 then 1 1 2 pounds of M&M's will cost $_______________ (13) The GCD of 48 and 57 is ___________________ (14) (58 79 66) 4 has a remainder of _______ ƒ (15) 2 bushels is equivalent to ____________ pecks 1 2 (16) The median of 1, 5, 2, 3, 3, 2, 1, & 4 is ________ (17) The greatest prime number less than 99 is ____ (18) 11 = ___________________________________ 3 (19) MMX V = _____________ (Arabic Numeral) ƒ *(20) 1243 3421 = _________________________ È ‚ (21) 66% of 44 is 22% of ______________________ (22) Which of the following is both a composite number and an evil number, 4, 9, or 11? _____ (23) 235 14 = _______________________________ ‚ (24) 48 has _____________ positive integral divisors (25) 10 plus x is the same as tripling x. x = _______ (26) Let k = 7 5 . Truncate k to two decimal È È places. __________________________(decimal) (27) .333... .1666... .08333... = ______________ q (28) (26 24 22) 7 has a remainder of _______ ‚ q ƒ (29) 25836k is divisible by 6. Find k 0. _________ *(30) 30456 141 = ___________________________ ƒ (31) If set A has 6 elements, A B has 3, and A B has 9, then set B has ______________ elements. (32) 2 1 3 4 7 ... 47 = _____________
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The University Interscholastic LeagueNumber Sense Test HS Invitational A 2010ì ì
Final ______ ______
Contestant's Number ___________ ______ ______2nd
______ ______1stRead directions carefully DO NOT UNFOLD THIS SHEET Score Initialsbefore beginning test UNTIL TOLD TO BEGIN
Directions: Do not turn this page until the person conducting this test gives the signal to begin. This is a ten-minute test. There are80 problems. Solve accurately and quickly as many as you can in the order in which they appear. ALL PROBLEMS ARE TO BESOLVED MENTALLY. Make no calculations with paper and pencil. Write only the answer in the space provided at the end ofeach problem. Problems marked with a ( * ) require approximate integral answers; any answer to a starred problem that is withinfive percent of the exact answer will be scored correct; all other problems require exact answers.
The person conducting this contest should explain these di rections to the contestants.
STOP -- WAIT FOR SIGNAL!
(1) 210 21 2010 = _______________________ q
(2) = ________________________________3 48 9‚
(3) $20.10 3 = $ __________________________ƒ
(4) 2.01 2 21 = ________________ (decimal)q 110
(5) .3 = ________________________________49 ƒ
(6) 44 % __________________ (proper fraction) =
(7) 9 6 3 6 9 = _______________________‚ ƒ q
(8) 34 43 = ________________________________‚
(9) 63 15 82 15 = ______________________‚ q ‚
*(10) 753 936 842 = ________________________q
(11) 17 = ___________________________________2
(12) If 8 ounces of M&M's costs $1.10 then 112 pounds of M&M's will cost $_______________
(13) The GCD of 48 and 57 is ___________________
(14) (58 79 66) 4 has a remainder of _______ ƒ
(15) 2 bushels is equivalent to ____________ pecks12
(16) The median of 1, 5, 2, 3, 3, 2, 1, & 4 is ________
(17) The greatest prime number less than 99 is ____
(18) 11 = ___________________________________3
(19) MMX V = _____________ (Arabic Numeral)ƒ
*(20) 1243 3421 = _________________________È ‚
(21) 66% of 44 is 22% of ______________________
(22) Which of the following is both a composite number and an evil number, 4, 9, or 11? _____
(23) 235 14 = _______________________________‚
(24) 48 has _____________ positive integral divisors
(25) 10 plus x is the same as tripling x. x = _______
(26) Let k = 7 5 . Truncate k to two decimalÈ È places. __________________________(decimal)
(27) .333... .1666... .08333... = ______________q
(28) (26 24 22) 7 has a remainder of _______‚ q ƒ
(29) 25836k is divisible by 6. Find k 0. _________
*(30) 30456 141 = ___________________________ƒ
(31) If set A has 6 elements, A B has 3, and A B has 9, then set B has ______________ elements.
(32) 2 1 3 4 7 ... 47 = _____________
(33) 6 1 5 2 4 3 = _________¸ ¸ ¸ ¸ ¸ ¸q q q q q
(34) = _____________È È È125 20 x . Find x.
(35) The discriminant of 6x 7x 2 = 0 is _____ 2
(36) Picture A is 8" by 10" and B is 9" by 12". The ratio of A's perimeter to B's perimeter is _____
(37) Find k if 67 59 = 16k. k = ____________ 2 2q
(38) 5 5 20 4 = ________________________‚ x ‚ x
(39) 7 7 = ________________ (mixed number)4 59 9‚
*(40) 400 log 800 = _____________________________
(41) (13) (8)(21) = _________________________2 q
(42) 38 11 33 24 = ______________________‚ ‚
(43) If x y = 1 and xy = 2 then x y = _____ q 3 3
(44) The x-intercept of the line 3x 4y = 5 isq (h, k). Find h. ____________________________
(45) The product of the roots of x 2x 9x 8 = 0 is ____________ 4 3 2 q q 2x
(46) 7 2220 59 = __________________________q
(47) The arithmetic mean of 17, 22, and 25 is ______
University Interscholastic League - Number Sense Answer Key HS Invitation A 2010ì ì*number) x y means an integer between x and y inclusiveNOTE: If an answer is of the type like it cannot be written as a repeating decimal2
3
(1) 1779q
(2) 16
(3) $6.70
(4) 20.91
(5) , 140 1327 27
(6) 1125
(7) 21
(8) 1462
(9) 285q
*(10) 627 691q
(11) 289
(12) $3.30
(13) 3
(14) 3
(15) 10
(16) 2.5, 25 12 2,
(17) 97
(18) 1331
(19) 402
*(20) 114581 126642q
(21) 132
(22) 9
(23) 3290
(24) 10
(25) 5
(26) 4.88
(27) .25, 14
(28) 0
(29) 6
*(30) 206 226q
(31) 6
(32) 122
(33) 9
(34) 245
(35) 1
(36) 67
(37) 63
(38) 1080
(39) 562081
*(40) 1104 1219q
(41) 1
(42) 1210
(43) 5
(44) 15 23 3,
(45) 8
(46) q 271180
(47) 2164 13 3,
(48) 325
(49) 77
*(50) 4749 5247q
(51) 112
(52) , 7120 117 17
(53) 20
(54) 34
(55) 21q
(56) 4
(57) 10
(58) 37
(59) 28
*(60) 122 134q
(61) 0
(62) 40
(63) 25
(64) 60
(65) 4q
(66) 2
(67) 112
(68) .5, q q 12
(69) 318
*(70) 127 139q
(71) 23
(72) 5039
(73) .75, 34
(74) 23
(75) 1
(76) 110
(77) 56
(78) 3
(79) 4
*(80) 4318 4772q
10A-1 = 2.50
= 2.50x100 10A-2 = -0.0222
= -2.22x10-2 10A-3 = -36900
= -3.69x104 10A-4 = -4.40
= -4.40x100 10A-5 = 0.0212
= 2.12x10-2 10A-6 = 7.27
= 7.27x100
10A-7 = 9.08
= 9.08x100
10A-8 = 51.1
= 5.11x101
10A-9 = 2.86
= 2.86x100
10A-10 = 159
= 1.59x102
10A-11 = -746
= -7.46x102 10A-12 = 669000
= 6.69x105 10A-13 = -0.386
= -3.86x10-1 10A-14 = -0.498
= -4.98x10-1
10A-15 = -8.97x10-5 10A-16 = 0.420
= 4.20x10-1
10A-17 = $20.12
10A-18 = 350 integer
10A-19 = 0.968
= 9.68x10-1
10A-20 = 5230
= 5.23x103
10A-21 = 0.00411
= 4.11x10-3 10A-22 = 0.119
= 1.19x10-1 10A-23 = 5.25
= 5.25x100 10A-24 = -0.275
= -2.75x10-1
10A-25 = 4.32x108 10A-26 = 8030
= 8.03x103
10A-27 = 72.2
= 7.22x101
10A-28 = 1000 (2SD)
= 1.0x103
10A-29 = 0.176
= 1.76x10-1
10A-30 = 82.1
= 8.21x101
10A-31 = 2460
= 2.46x103 10A-32 = 0.487
= 4.87x10-1 10A-33 = 284
= 2.84x102 10A-34 = 2.15
= 2.15x100 10A-35 = 9.42
= 9.42x100 10A-36 = 18,200,000
= 1.82x107
10A-37 = -3.79
= -3.79x100
10A-38 = -0.222
= -2.22x10-1
10A-39 = 5.47
= 5.47x100
10A-40 = 0.583
= 5.83x10-1
10A-41 = -126000
= -1.26x105
10A-42 = -7.29x106 10A-43 = -0.189
= -1.89x10-1 10A-44 = 16.8
= 1.68x101 10A-45 = -6.96
= -6.96x100 10A-46 = 8.13
= 8.13x100
10A-47 = 629
= 6.29x102
10A-48 = 7.30
= 7.30x100
10A-49 = 6.21
= 6.21x100
10A-50 = 2.81
= 2.81x100
10A-51 = 7.75
= 7.75x100 10A-52 = 2480
= 2.48x103 10A-53 = -15100
= -1.51x104 10A-54 = 0.00400
= 4.00x10-3
10A-55 = 3.86x10-5 10A-56 = -0.922
= -9.22x10-1
10A-57 = 18.5
= 1.85x101
10A-58 = 27.6
= 2.76x101
10A-59 = 18.9
= 1.89x101
10A-60 = 57.5
= 5.75x101
10A-61 = 8.97
= 8.97x100 10A-62 = 0.159
= 1.59x10-1 10A-63 = 0.00236
= 2.36x10-3 10A-64 = 1.56
= 1.56x100 10A-65 = 129
= 1.29x102 10A-66 = 2.07
= 2.07x100
10A-67 = 25.4
= 2.54x101
10A-68 = 324
= 3.24x102
10A-69 = 0.950
= 9.50x10-1
10A-70 = 0.507
= 5.07x10-1
UNIVERSITY INTERSCHOLASTIC LEAGUE
do not turn this page until
you are instructed to do so!
MathematicsInvitational A • 2010
WRITE ALL ANSWERS WITH
CAPITAL LETTERS
1. Evaluate: 30 24 18 12 6q ƒ ‚
(A) 6 (B) 10 (C) 20 (D) (E) 350 35.888...
2. Reid Moore went to the Ye Olde Book store to buy 3 copies of the same book for gifts. The regular price of the book is $19.95. Because he is buying 3 copies he gets 25% off of the regular price of the second copy and 40% off the regular price of the third copy. What would the total cost of the 3 books be before taxes? (to the nearest cent)
3. Using the partial ruler shown below, find the distance from A to B.
(A) 1 (B) 1 (C) 1 (D) 1 (E) 11 1 3 7 1
8 4 8 16 2 " " " " "
4. Which of the following is not a solution to 8x ?¸ ¸q q 6 4 2
(A) 2 (B) (C) D) 1 (E) 2q q 1 2 3 45 5 5 5 (
5. The function f(x) = x x 12 crosses the x-axis at two points. Find the distance between the 2 q q two points.
(A) 8 (B) 7 (C) 6 (D) (E) 14
6. A male zebra fish has 8 stripes. A female zebra fish has 7 stripes. What is the ratio of male fish to female fish, if the total number of stripes on all of the zebra fish in an aquarium totals 87?
(A) (B) (C) D) (E) 1 2 7 8 33 3 8 7 1 (
7. A box contains four rods whose lengths are 2", 3", 5", and 7". How many different triangles can be made using only three rods at a time.
(A) 0 (B) 1 (C) 2 (D) 3 (E) 4
8. A right cylinder water tank is 6 feet high and has an inside radius of 3 feet. The amount of water in the tank is 75% of its maximum capacity. How much water is in the tank? (nearest gallon)
(A) 1270 gal (B) 635 gal (C) 734 (D) 317 gal (E) 952 gal gal
9. The region bounded by two radii of a circle and their intercepted arc is called a:
(A) slice of pi (B) semicircle (C) secant (D) sector (E) segment
UIL Math A 2010 - page 1
10. Noah Sense has 28 coins consisting of pennies, nickels, and quarters. He has four times as many nickels as pennies and half as many quarters as nickels. How much money does he have?
11. One-centimeter cubes are glued together to form the object in the figure shown. The two-dimensional perspective of the top view of this figure has a perimeter of:
(A) 30 cm (B) 18 cm (C) 16 cm (D) 15 cm (E) 12 cm
12. If 8 = 16 , then 4 = ?(k 1) (3k) (k )q q1
(A) (B) (C) (D) 4 (E) 1256 21 164 3
È3
13. Babe, Dizzy, and Yogi are playing "toss and catch" with a baseball. The bearing from Babe to Dizzy is 254 °. The bearing from Yogi to Dizzy is 344 °. The bearing from Yogi to Babe is 32 °. The distance from Yogi to Dizzy is 20 feet. How far is it from Yogi to Babe? (nearest inch)
23. A box contains circular poker chips that are congruent in shape but not color. There are red ones, white ones, and blue ones. Drew Goode randomly draws out a chip. He gets 5 points if it is a blue one, The probability of1 point for a white one, and he loses 3 points for a red one. drawing out a red one is 25%, a blue one is 60%, and a white one is 15%. What is his mathematical expectation on any one draw?
(A) 5.0 (B) 3.9 (C) 3.0 (D) 2.4 (E) 2.1
UIL Math A 2010 - page 3
24. What are the odds that a factor of 2010 is a prime number?
(A) (B) (C) (D) (E) 1 1 1 22 3 4 5 1
25. 1 is: The number of integers that satisfy the inequality 4 n 115 5 30Ÿ Ÿ
(A) 3 (B) 4 (C) 5 (D) 6 (E) 7
26. Simplify: (n 1) (n 1)(n 2)
x q q xq x
(A) (B) (C) (D) (E) n 1 n 2n 2n 1 n 2n 1 2 3 2 32(n 1)n 2 n(n 1)
2 q q q q
27. The formula is the base of the natural logarithm and is the/ B 3 B / 33B = cos sin , where imaginary unit, is named after:
(A) Rene Descartes (B) Claudius Ptolemy (C) Theano of Crotona
(D) Leonard Euler (E) Eratosthenes of Cyrene
28. The odd numbers from 1 to 17 are to be placed in this magic square in which the rows and columns have the same sum. Find the value of x.
x
1
135
(A) 3 (B) 7 (C) 9 (D) 11 (E) 15
29. P = {p,l,u,s}, Q = {m,i,n,u,s}, and R = {t,i,m,e,s}. How many elements are in (P Q) (P R)?
(A) 10 (B) 6 (C) 5 (D) 4 (E) 2
30. The number 12010 in base 3 is equivalent to the number wxyz in base 5, where w, x, y, and z are digits. Find w x y z.
(A) 10 (B) 9 (C) 8 (D) 6 (E) 3
31. Simplify: a b a b 5 4 4 5 3 3ƒ ‚ ‚ ƒ ‚q q q a b
(A) a b (B) a b (C) a b (D) a b (E) a b q q q q 2 6 4 2 2 12 4 2 2 6
32. Simplify: 9 64 12 2x x x x x x 2 2
2q q q
ƒ
(A) (B) (C) (D) (E) 4 3 4 34 3 4( 3) 4x x x
x x x q
UIL Math A 2010 - page 4
33. The distance from Abilene to Dallas by way of I30 is 185 miles. Ima Slow is leaving Abilene on I30 at 9:00 a.m. driving toward Dallas at 55 mph. Ura Quick is leaving Dallas on I30 at 9:00 a.m. driving toward Abilene at 70 mph. What time will they meet? (nearest minute)
34. A and B are complementary angles. A and C are supplementary angles. Find m C ifn n n n n m A = 2x 5 and m B = x 2.n n q
(A) 121° (B) 149° (C) 135° (D) 123° (E) 147°
35. If are the first 3 terms of an arithmetic sequencea = 2 a = 4.5 and a = 7 , then a = ?1 2 3 9 , ,
(A) (B) 19.5 (C) (D) 22 (E) 24.517 21
36. The graph of 4x 9y 18y = 2 is a(n): 2 2 q 16x
(A) parabola (B) line (C) hyperbola (D) ellipse (E) circle
37. The eccentricity of the hyperbola 4x y = 4 is:2 2q
(A) (B) (C) (D) (E) È È5 15È È È17 3
2 2 25
38. If cos 0 and tan 0 which quadrant will terminate in?) ) )
(A) QI or QII (B) QI only (C) QII only (D) QIII only (E) QII or QIII
39. Let V = 15 and V = 9, where the direction angles of V and V are 20 ° and 80 °,¼ ¼ ¼ ¼1 2 1 2
respectively. Find V V . (nearest tenth)¼ ¼1 2
(A) 23.6 (B) 17.5 (C) 20.7 (D) 12.0 (E) 21.0
40. Find AD if AB = 90 cm. and AC = 50 cm. (nearest cm)
A
C
BD
(A) 67 cm (B) 19 cm (C) 28 cm (D) 60 cm (E) 45 cm
41. ' (q x sin x) dx = ________ C, where C is some arbitrary constant.
(A) cos x (B) x cos x sin x (C) sin x cos x (D) x cos x (E) x sin x cos x2 q q q q
UIL Math A 2010 - page 5
42. If f (x) = 6 and f ( ) = and f(1) = 2, then f( ) = _____. ww w q q q 1 8 2
(A)20 (B) 17 (C) 8 (D) (E) q q 7 14
43. Find the instantaneous rate of change of the reciprocal of a number with respect to the number when the number is 4.
(A) (B) (C) (D) (E) q q q 1 1 1 1 116 4 2 4 16
44. How many different letter arrangements can be made by rearranging the letters in the word 'LETTER'?
(A) 180 (B) 21 (C) 120 (D) 24 (E) 360
45. Willie Lawkit can't remember the combination to the padlock shown. He knows that the first number is greater than 30, the second number is a positive Fibonacci number, and the third number is a factor of 30. How many combinations can he try to open the lock?
(A) 25 (B) 378 (C) 576 (D) 72 (E) 480
46. The operation " " is defined by: a b = a b . What is the value of (0 1 (2 3) ?˜ ˜ ˜ ˜ ˜ b aq )
(A) (B) 0 (C) 1 (D) 2 (E) 4q 1
47. 3(x 4) = 5 and 3(4 x) = 5 is an example of the ___________ property.
48. Slim Sails rents kayaks and life vests for white water rafting. The kayak rental fee last year was $40 and the life vest rental fee last year was $12. This year, the kayak rental fee increased 15% and the life vest fee decreased 25%. What is the overall percent increase in rental fees for the kayak and vest from last year to this year? (nearest tenth)
(A) 10.0% (B) 9.1% (C) 8.3% (D) 6.5% (E) 5.8%
49. If (2 x) = 2(x 3) then (2x equals:q q q 3 3)
(A) 12 (B) 9 (C) 21 (D) (E) 1.8q q 3.4
50. The area of a right isosceles triangle is 12.5 cm . Its perimeter is: (nearest tenth). 2
(A) 18.7 cm (B) 11.4 cm (C) 21.2 cm (D) 11.7 cm (E) 17.1 cm
UIL Math A 2010 - page 6
51. Find the slope of a line perpendicular to the line drawn in the graph below.
(A) 2 (B) 1.5 (C) .5 (D) .5 (E) 2q q q __ __ __ __ 52. AB, AC, BD, and CD are chords of circle O and point E lies on circle O. Which of following is a true statement?
A
B
C
D
PE
w w w (A) ABD = (B) BPC = (C) ACD = 2m m m m m mn ‚ n ‚ n ‚1 1
2 2AED CB AED
(D) APD = ABP DCP (E) ABP BDCm m m m mn n n n n
53. A regular polygon has sides and diagonals. If the polygon had one more side, 1, it wouldS D S have 10 diagonals. The polygon is a:D
54. Let f(x) = 2 x and g(x) = 3x 5 If h(x) is the inverse function of , then h( 4) = ?q q 5 . f(x)g(x)
(A) (B) (C) (D) (E) q q 422 18 7 177 17 22 18
55. sin sec cos csc is equivalent to:) ) ) )
(A) (B) (C) 1 (D) E) sec 1csc tan seccot csc tan
2 2) ) )) ) ) tan
2 2) ) ( q
UIL Math A 2010 - page 7
56. Willie Ketchit drops a golfball from a height of 10 meters. Each time it hits the ground it rebounds to a height of 50% of the distance it fell. Find the total distance the golfball travels when it reaches the ground the third time. (nearest tenth)
(A) (B) 32.5 m (C) 30.0 m (D) 28.5 m (E) 25.0 m 35.0 m
57. The polynomial 2x x x 5 has at most ____ negative zeros. 4 2q 8
(A) 4 (B) 3 (C) 2 (D) 1 (E) 0
58. Coach Winters has 4 seniors, 5 juniors, 3 sophomores, and 4 freshmen on her math team. How many ways can she form practice groups of four members consisting of one member from each of the grade levels?
(A) 16 (B) 81 (C) 108 (D) 240 (E) 256
59. Romeo, Juliet, and three classmates are randomly assigned seats in a row of five chairs. What is the probability that Romeo and Juliet will be seated next to each other?
(A) 20% (B) 25% (C) 30% (D) 35% (E) 40%
60. Matt and Nick constructed two buildings using identical cubes. Matt's building weighs 200 g, and Nick's building weighs 600 g. How many of the cubes in Nick's building are hidden and cannot be seen in the figure?
Matt'sNick's
(A) 1 (B) 2 (C) 3 (D) 4 (E) 5
UIL Math A 2010 - page 8
University Interscholastic League MATHEMATICS CONTEST
HS Invitation A 2010ì ìAnswer Key
1. C 21. C 41. B 2. E 22. D 42. B
3. D 23. D 43. A
4. C 24. B 44. A
5. B 25. B 45. C
6. A 26. E 46. B
7. B 27. D 47. B
8. E 28. B 48. E
9. D 29. B 49. C
10. C 30. D 50. E
11. B 31. A 51. C
12. B 32. A 52. A
13. A 33. C 53. D
14. B 34. D 54. A
15. A 35. D 55. D
16. D 36. D 56. E
17. E 37. A 57. C
18. D 38. D 58. D
19. A 39. E 59. E
20. A 40. C 60. D
GENERAL DIRECTIONS:
• DO NOT OPEN EXAM UNTIL TOLD TO DO SO. • Ninety minutes should be ample time to complete this contest, but since it is not a race, contestants
may take up to two hours. If you are in the process of actually writing an answer when the signal to stop is given, you may inish writing that answer.
• Papers may not be turned in until 30 minutes have elapsed. If you inish the test in less than 30 minutes, remain at your seat and retain your paper until told to do otherwise. You may use this time to check your answers.
• All answers must be written on the answer sheet provided. Indicate your answers in the appropriate blanks provided on the answer sheet.
• You may place as many notations as you desire anywhere on the test paper except on the answer sheet, which is reserved for answers only.
• You may use additional scratch paper provided by the contest director. • All questions have ONE and only ONE correct (BEST) answer. There is a penalty for all incorrect
answers. • If a question is omitted, no points are given or subtracted. • On the back of this page is printed a copy of the periodic table of the elements. You may wish to
refer to this table in answering the questions, and if needed, you may use the atomic weights and atomic numbers from the table. Other scientiic relationships are listed also.
• Silent hand-held calculators that do not need external wall plugs may be used. Graphing calculators that do not have built-in or stored functionality that provides additional scientiic information are allowed. Small hand-held computers are not permitted. Calculators that accept memory cards or memory sticks are not permitted. Each contestant may bring one spare calculator. All memory must be cleared.
• Answers within 5% of the exact answer will be considered correct.
SCORING:
All questions will receive 6 points if answered correctly; no points will be given or subtracted if unanswered; 2 points will be deducted for an incorrect answer.