NUMBER SENSE
NUMBER SENSE Practice Packet S22
Written by Larry White, Contest Director
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IF YOU LIKE THIS PRODUCT, WE ALSO RECOMMEND
Mental Math Notes Number Sense Practice Packets from previous years
UIL NUMBER SENSE PRACTICE PACKET ? Spring 2022
PLE CONTENTS M Six Sets of Number Sense Tests (S22A-S22F)
Each Test Includes:
Ao 80 Questions - fill-in-the-blank So Solutions
For official UIL Constitution and Contest Rules for Number Sense, please review the Section 920 document at:
?2022 HEXCO ACADEMIC ? PO Box 199 ? Hunt, TX 78024 ? 830.367.3825 ? Do not scan, post to web, or share electronically.
Hexco 2021-22 Number Sense Test S22A
Contestant's Number ___________
Read directions carefully before beginning test
DO NOT UNFOLD THIS SHEET UNTIL TOLD TO BEGIN
Final ______ ______
2nd ______ ______
1st ______ ______
Score
Initials
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) 2122 2212 = _______________________________
(2)
3.8
q
2
1 2
= ___________________ (mixed number)
E (3) 1.8 0.09 = ________________________________
L (4)
3 8
,
5 9
=
____________________________________
(5)
3 16
=
______________________________ (decimal)
P (6) 212 = ______________________________________
(7) 1 , 3 6 10 q 15 = _______________________
M (8) 48 , 15 = ___________________________________
(9) 11 , 64 q 11 , 16 = _________________________
A *(10) 257 1219 3150 = _________________________
S (11)
44
4 9
%
of
180
is
______________________________
(17) 42 , 38 = _____________________________
(18) 2022 6 has a remainder of ___________________
(19)
Which is greater,
7 9
or 0.79?
__________________
*(20) 847 , 2022 = _______________________________
(21) 37 , 77 = __________________________________ (22) 322 172 = ________________________________ (23) ?7 q 2? 9 q ?11 q 20? = ____________________
(24) W ={w,r,e,n}, R = {r,o,b,i,n}, and F = {f,i,n,c,h}. How many unique elements are in W R F? ___
(25) 1234 = __________________________________ 10
(26)
Let
2 3
=
4 x
.
Find
x 5
.
___________________________
(27) ^ ?144 3 = ________________________________
(12) If 10 pens cost $4.90, then 8 pens will cost $ ______
(13) The LCM of 48 and 80 is _____________________
(28)
The additive inverse of
q
2 3
is _________________
(14) The arithmetic mean of 31, 36, and 44 is ________
(29)
If
8(x)
=
5
6 7
,
then
8(x
q
1)
= ____________________
(15)
8 11
1
3 8
=
___________________ (mixed number)
(16) The number of prime numbers greater than 20 and less than 40 is ___________________________
*(30) 212732 32 = ______________________________
(31) 28 , 88 = __________________________________
(32)
Let
14 33
= 0.ababab... . Find a b.
______________
?2021 HEXCO ACADEMIC ? PO Box 199 ? Hunt, TX 78024 ? 800-391-2891 ? Do not scan, post to web, or share electronically.
(34) An angle complementary to 62? measures _______? (35) Given: 1, 3, 6, 10, p, ..., 36, 45, r,... . p r = ______ (36) The product of the coefficients of (x 2y)3 is ____ (37) If y = 5 q 2x and x = 3y q 1, then y = __________
(59) Let L = {2,1,3,4,7,11,18,29}. The probability of drawing a composite number is ______________%
*(60) 83 , 42 32 = ______________________________
(61)
8,9x 8x
9,8x
=
_______________________________
(38) If (2x q 3)(3x q 2) = ax2 bx c, then a q b q c = ________________________________
(62) Find the sum of all positive integers x such that 19 q 4x 7. ________________________________
(39) The area of a rectangle with length 8 cm is 72 cm2. The perimeter of the rectangle is ____________ cm
*(40) ?182321 = _________________________________
(63) How many positive integers less than or equal to 34 are relatively prime to 34? ____________________
(64)
4 7
q
23 43
=
___________________________________
(41) 49 492 = _________________________________
(65) 5032 , 13 = ________________________________
(42) 83 , 87 = __________________________________ (43) The larger root of (3x 5)2 = 49 is ____________
E (44) 11313 13 has a remainder of _________________
(45) If 45 , 54 = 9k, then k = _____________________
L (46) 642 q 652 66 = ____________________________
P (47)
15
1 7
,
7
1 15
=
_________________ (mixed number)
(48) 9972 = _____________________________________
(49) 869 69 689 = __________________________ 9
M *(50) 4 , 12 , 20 , 28 = __________________________
(51) Given: 2, 2, 5, 10, 26, k, 170, ... . Find k. _________
A (52)
2 3
3 5
1
4 15
1
13 15
3
2 15
...
21
4 15
=
_______
S (53) Find the sum of the reciprocals of the first
(66)
If 222 ,
k 27
=
32
8 9
,
then
k = ___________________
(67) (458 , 728 618) 78 has a remainder of ______
(68)
sin2(
31
4
)
=
_________________________________
(69) The radius of the inscribed circle of a 7-24-25 right triangle is _____________________________ units
*(70) 65 miles per hour = _____________ feet per second
(71) y = log 5(3x 2). The domain of y is x ________
(72)
The first four digits of the decimal for
23 70
base 8 is
0.____________________________________ base 8
(73)
'2 q 1
(3x2 q 1) dx = __________________________
(74)
If
f(x)
=
2x 3 5
q 6, then f q 1(1) = _____________
(75)
If
f(x)
=
2x 3 5
q 6, then f[f q 1(1)] = ___________
twelve triangular numbers. ___________________
(76) Find the sum of the squares of the roots taken two
(54) (6 q 5i)(7 4i) = (a bi). a b = _____________
at a time of x3q 5x2 q 2x 24 = 0. ____________
(55) 202 , 123 = ________________________________
(77) 3459 = ____________________________________ 3
(56) The measure of the central angle of a regular octagon is ___________________________ degrees
(78) The graph of y = log3(x 3) has a vertical asymptote of x = ____________________________
(57) 9C6 = ______________________________________
(58) The coefficient of the x2y term when (2x 5y)3 is expanded is ________________________________
(79)
7 24
7 48
7 80
=
________________________
*(80) ?1234 , ?5678 , ?90 = ___________________
?2021 HEXCO ACADEMIC ? PO Box 199 ? Hunt, TX 78024 ? 800-391-2891 ? Do not scan, post to web, or share electronically.
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