Download 2009 Pizitz Mathematics Test

2009 Pizitz Mathematics Test
Seventh Grade Test
1. Evaluate 10012 – 9992.
A. 6000
B. 4000
C. 900
D. 400
E. NOTA
D. 40,320
E. NOTA
D. 12.5 u2
E. NOTA
2. Find the number of distinct arrangements of the letters in ROLLTIDE.
A. 1680
B. 6720
C. 20,160
3. Find the area of a triangle with vertices (0,0), (5,5), and (0,5).
A. 25 u2
B. 6.25 u2
C. 15 u2
4. Allen is buying gifts for his family. He bought his sister UGG boots for $149.95, his mom $20 earrings and
his dad a book for $15.95. If there is a 9% tax rate, calculate his change if he pays with eleven $20 bills.
A. $16.73
B. $17.26
C. $17.37
D. $18.00
E. NOTA
5. Amy the chicken is tied to one corner of a rectangular barn with a twelve-foot rope. If the width of the barn
is 8 feet and the length is 2 yards, find the area outside the barn in which Amy can travel. Leave pi in the
answer.
A. 121π ft2
B. 117 ft2
C. 144π ft2
D. 108π ft2
E. NOTA
6. From the same starting point, Yash runs north at a speed of 8 mph, and Gene runs east at a speed of 6 mph.
How far apart will they be in 2 hours?
A. 10 mi.
7. Find x + y if:
A. 5
B. 20 mi.
C. 5 mi.
D. 28 mi.
E. NOTA
C. 10
D. 3
E. NOTA
2x – y = 10 and 3x + 3y = 15.
B. 0
8. Connie’s test scores in math are 93, 98, 95, 97 and 100. What does she have to make on the next test to get
exactly a 97% average in math?
A. 96
B. 97
C. 98
D. 99
E. NOTA
C. 133
D. 59
E. NOTA
9. Write 0.295 as a simplified fraction.
A. 49
150
B. 11
100
450
150
10. Find the slope of the line perpendicular to the line that goes through (-4,2) and (2,6).
A.
3
2
B.
3
2
C.
2
3
D.
2
3
E. NOTA
11. Simplify y(y3 – 8) – y2(6 – y) + 3y(2y + 6) – 6y.
A. y4 – y3 – 14y + 6
C. y4 + y3 + 14y – 6
B. y4 + y3 + 4y
D. y4 – y3 + 4y
E. NOTA
12. Find the 201st term of the arithmetic sequence: 7, 11, 15, 19, 23 . . .
A. 799
B. 803
C. 811
D. 807
E. NOTA
13. Set A has 15 elements, Set B has 12 elements, and A  B has 7 elements. How many elements does
A  B have?
A. 34
B. 30
C. 21
D. 18
E. NOTA
14. Given the figure,
if a = 12 and x = 9, find b.
b
A. 36
B. 24
C. 18
D. 15
E. NOTA
x
15. If a biker can travel 24.5 miles in 1.75 hours, how many miles can he go in one hour?
A. 18
1
4
B. 13
1
16. Find the value of 3 
1
3
34
13
B.
C. 17
E. NOTA
.
5
14
C.
14
5
17. In how many distinct ways can the blanks be filled so that
the resulting four-digit number is a multiple of 11?
A. 7
D. 14
1
3 1
3
A.
5
7
B. 8
D.
13
34
E. NOTA
7 ___ 5 ___
C. 9
D. 10
E. NOTA
1
4
E. NOTA
D. 48
E. NOTA
18. What is the sum of the reciprocals of the integral factors of 20?
A. 2
1
20
19. Simplify completely:
A. 64
B. 2
1
10
C. 2
1
5
D. 2
890 ÷ 4132.
B. 32
C. 128
a
20. Given the angle measures, solve for x, and find x2 – 5x.
A. 500
B. 750
C. 870
D. 1400
(3x)°
E. NOTA
x°
20°
21. Find the positive difference in the surface area of a rectangular prism with length 6 cm, width 4 cm, and
height 3 cm, and a cube with side length 5 cm.
A. 28
B. 36
C. 64
D. 78
E. NOTA
D. 21
E. NOTA
D. 16
E. NOTA
22. Find ab + bc + ca if:
a = the GCF of 108 and 135
b = the solution of 5(x – 4) + 12 = 4x + 3(x – 4)
c = the sum of the first four primes, less 16.
A. 732
B. 84
C. 733
23. Find the number of positive integral divisors of 820.
A. 6
B. 10
C. 12
24. What is the probability of randomly drawing two queens from a standard deck of cards without
replacement?
A.
1
169
B.
1
221
C.
2
169
D.
2
221
E. NOTA
25. How many 2-digit numbers are divisible by 4 or 5?
A. 32
B. 45
C. 42
D. 36
E. NOTA
Tiebreakers Write each tiebreaker answer in the top margin on the back of the scantron.
TB1) If the surface area of a cube is 10,584 m2, how long is the edge of the cube?
TB2) What is the 240th digit to the right of the decimal point in the decimal representation of 8 ?
37
TB3) When simplified as a common fraction, what holiday date is this?
 14 x 2 4


2

 5 
 7 
 c
7




2
 57

 c





 
 4
2
 8 x



1
4