Logic B S2 Week 6

Consecutive Integers/Fractions and Decimals

100

The total journey if Froto and Sam had traveled five-sixths of the way to Mordor and they had traveled 180 km

What is 216 km?

200

The original number of orcs if seven-eighths of them had been killed, and there 560 left

What is 4480 orcs?

300

The length of Aragorn's beard if Gimli's measured 30.24cm, and it was 7.2 times the length of Aragorn's

What is 4.2cm?

400

Three consecutive even integers such that the sum of the first and third equals the sum of the second and -14

What are -16, -14, -12?

500

Four consecutive odd integers such that the sum of the first and fourth is 25 greater than the opposite of the third

What are 5,7,9,11?

Rational Equations

100

y/6+1/2=y/4

What is

y=6?

200

z/4-1/3=z/2

What is

z=-4/3?

300

(2x)/7-(3x)/2=1/3

What is

x=-14/51?

400

(y+2)/3-5/2=(2y-4)/8

What is 16?

500

(x+1)/4-3/2=(2x-9)/10

What is

x=7?

Scientific Notation/Systems of Equations

100

[(0.07xx10^2)(800,000)]/[(10,000)(0.0000004)]

What is

1.4xx10^9?

200

[(0.04xx10^-9)(50xx10^16)]/[(0.000004)(50,000)]

What is

1xx10^8?

300

R_A if

R_AT_A+R_PT_P=460

R_P=50, T_P=4, T_A=2

What is

R_A=130?

400

T_R, T_T if

R_T T_T+200=R_RT_R

R_T=10, R_R=15, T_R=T_T+10

What is

T_R=20, T_T=10?

500

R_F, R_E if

R_FT_F=R_ET_E

T_F=16, T_E=12, R_E=R_F+10

What is

R_F=45, R_E=60?

Miscellany

100

9+9+9

What is 27?

200

9-:9+9-9xx9

What is

-71?

300

9xx9xx9

What is 729?

400

(99-9999+999-9)/9

What is

-990?

500

DOUBLE IT!

9^9

What is 387,420,489?