NUMBER SENSE

NUMBER SENSE Practice Packet S22

Written by Larry White, Contest Director

We are a small company that listens! If you have any questions or if there is an area that you would like fully explored, let us hear from you. We hope you enjoy this product and stay in contact with us throughout your academic journey. ~ President Hexco Inc., Linda Tarrant

E HEXCO ACADEMIC



L P.O. Box 199 ? Hunt, Texas 78024

Phone: 830.367.3825 ? Fax: 830.367.3824 Email: hexco@

P Copyright ? 2022 by Hexco Academic. All rights reserved. Reproduction or translation of any part of this work beyond that M permitted by Section 107 or 108 of the 1976 United States Copyright Act without the permission of the copyright owner is

unlawful. The purchaser of this product is responsible for adhering to this law which prohibits the sharing or reselling of copyrighted material with anyone. This precludes sharing with coaches or students from other schools via mail, fax, email, or

A simply "passing along." Hexco materials may not be posted online. Exception/permission for photocopies granted by Hexco

Academic is only applicable for Practice Packets which may be copied expressly for the purchaser's group or classroom at the

S same physical location.

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.

 ................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download