1,091.
Evaluate (20three)2−(11three)2 in base three
A.
101
B.
121
C.
202
D.
2020
Correct answer is C
(20three)2−(11three)2
= (203−113)(203+113)
= (23)(1013)
= 2023
1,092.
Which of the following correctly expresses 48 as a product of prime factors?
A.
3 x 4 x 4
B.
2 x 3 x 8
C.
2 x 2 x 2 x 3 x 4
D.
2 x 2 x 2 x 2 x 3
Correct answer is D
48 = 2 x 2 x 2 x 2 x 3
1,093.
A.
214%
B.
4%
C.
5%
D.
6%
Correct answer is B
I=PRT100
R=100IPT
R=100×602000×34
R=60001500
= 4%
1,094.
Solve the equation 3 + 5x - 2x2 = 0
A.
−12,−3
B.
2, 3
C.
-2, 3
D.
−12,3
Correct answer is D
3+5x−2x2=03+6x−x−2x2=03(1+2x)−x(1+2x)=0(3−x)(1+2x)=03−x=0or1+2x=0x=3x=−12x=3orx=−12
1,095.
Find the volume (in cm3) of the solid shown above
A.
100cm3
B.
150cm3
C.
175cm3
D.
250cm3
Correct answer is C
Total volume = (5 x 5) x 5 + (5 x 5) x 2
= 125 + 50
= 175 cm3
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