mathslice mathslice


NATS Math Challenge
(Grades 6 to 8)
 
Directions:
Please read each question and select the best answer. After answering the questions, select the submit button at the bottom of the page. The time limit is 30 minutes for this test.
You don't have to answer all the questions as you are competing with your own grade students and wrong answers carry -4 points.



1.  Julie has 18 cards. Ray gives her x cards. Julie now has less than 30 cards. Which expression best describes Julie's cards? Mark your answer.
 A  x - 18 > 30  B  x + 18 > 30
 C  x + 18 < 30  D  x - 18 < 30

2.  Greg took five tests. Each test is worth 100 points. Greg received the following scores in five tests.

85, 87, 87, 89, 97

What is Greg’s mean (average) score for these five tests? Mark your answer.
 A  86  B  87
 C  88  D  89

3.  There are 50 beans in a bag. Twenty percent (20%) are red. How many are red? Mark your answer.
 A  10  B  15
 C  20  D  25

4.  There are 18 girls in a class. The ratio of girls to boys in the class is 3 to 2. How many boys are in the class? Mark your answer.

 A  8  B  10
 C  12  D  27

5.  What values of x make the inequality true in the following expression?

   3x - 4 > 38

.
 A  x < 11  B  x > 11
 C  x < 14  D  x > 14

6.  What is the surface area of the prism? Mark your answer.
 A  60 square cm.  B  132 square cm.
 C  92 square cm.  D  112 square cm.

7.  The original price of a new bicycle is $138.00. If the bicycle is marked down 15%, what is the new price? Mark your answer.

 A  $153.00  B  $129.70
 C  $123.00  D  $117.30

8.  Stuart is buying a pair of jeans that regularly cost $40. They are on sale for 20% off. If the tax rate is 8%, what is the sale price of the jeans including tax? Mark your answer.
 A  $44.34  B  $24.56
 C  $42.16  D  $34.56

9.      (ab)-5(ab)3 =
 A  (2ab)-15  B  (ab)-15
 C  (2ab)-2  D  (ab)-2

10.  The distance a spring stretches varies directly with the force applied to it. If a 7 pound weight stretches a spring a distance of 24.5 inches, how far will the spring stretch if a 12 pound weight is applied? Mark your answer.

 A  19.5 inches  B  42 inches
 C  45.8 inches  D  94.2 inches

11.  Mr. Callaway needs to purchase enough grass seed to cover a 3000-square-foot lawn and a 4200-square-foot lawn. If 40 ounces of grass seed will seed a 2400-square-foot lawn, how many ounces does he need to seed both lawns? Mark your answer.

 A  20 ounces  B  60 ounces
 C  80 ounces  D  120 ounces

12.  In the figure below, D is the midpoint of AC, and BD is perpendicular to AC.

What is the length of BD? Mark your answer.
 A  24 centimeters  B  20 centimeters
 C  16 centimeters  D  14 centimeters

13.  What is the value of x? Mark your answer.


 A  24  B  59
 C  54  D  49

14.  A point P(8, -5) is rotated by an angle 90° about the origin. What are the coordinates of the rotated point P1? Mark your answer.
 A  (-5, -8)  B  (-5, 8)
 C  (5, -8)  D  (5, 8)

15.  Which of the following is the equation of a line that passes through the point (9, 9) and is parallel to the line y = 6x - 3? Mark your answer.
 A  y = 6x + 27  B  y = 6x - 27
 C  y = 6x + 45  D  y = 6x - 45

16.  The sum of three consecutive numbers is 42. What is the largest of these 3 numbers? Mark your answer.
 A  13  B  14
 C  15  D  16

17.  The measure of the compliment angle is 24 more than twice the original angle. What is the measure of the compliment angle? Mark your answer

 A  64  B  28
 C  68  D  48

18.  Which ordered pair is the solution to the system of equations below?

    6x + 2y = -26
    2x - 5y = -37

 A  (-6, 5)  B  (-6, -5)
 C  (6, -5)  D  (6, 5)

19.  Which of the following sets of numbers could represent the lengths of the sides of a right triangle? Mark your answer.
 A  8, 13, 15  B  8, 15, 17
 C  5, 12, 15  D  7, 23, 25

20.  What are the possible values of x in
    |12 -4x| = 2?
 A  x = 2.5 or x = 3.5  B  x = -2.5 or x = -3.5
 C  -3.5 < x < -2.5  D  3.5 > x > 2.5

21.  Which product of factors is equivalent to (x+1)2 - y2 ?
 A  (x + 1 + y)2  B  (x + 1 - y)2
 C  (x - 1 + y)(x - 1 - y)  D  (x + 1 + y)(x + 1 - y)

22.  If logab = 3, Which of the following is true?
 A  b = 3a  B  a = 3b
 C  a = b3  D  b = a3

23.  A train is made up of a locomotive, 5 different cars, and a caboose. If the locomotive must be first, and the caboose must be last, how many different ways can the train be ordered? Mark your answer.
 A  960  B  480
 C  240  D  120

24.  On a certain day the chance of rain is 80% in San Francisco and 30% in Sydney. Assume that the chance of rain in the two cities is independent. What is the probability that it will not rain in either city? Mark your answer.
 A  50%  B  24%
 C  14%  D  7%

25.  For a wedding, Shereda bought several dozen roses and several dozen carnations. The roses cost $15 per dozen, and the carnations cost $8 per dozen. Shereda bought a total of 17 dozen flowers and paid a total of $192. How many roses did she buy? Mark your answer.
 A  9 dozen  B  8 dozen
 C  7 dozen  D  6 dozen

Click Submit button to finish the test: