Logic (21 Aug)

Multiplication/Divisionof Signed Numbers

100

(4)(-3)

What is -12?

200

(-14)/-7

What is 2?

300

[(6)(-8)]/[(-3)(4)]

What is 4?

400

(-2)(-3)(-1)(4)(2)

What is -48?

500

(3)(2)(-1)(-2)(-2)(-3)

What is 72?

Evaluation withSigned Numbers

100

ab-a

if a = -2 and b = 3

What is -4?

200

x-xy

if x = -3 and y = -2

What is -9?

300

tv + vt

if t = -4 and v = 3

What is -24?

400

qrq-r

if r = 2 and q = -5

What is 48?

500

xy-x/y

if x = -4 and y = 2

What is -6?

Rate Problems

100

If Pippin could cap 60 bottles in 7 hours, the amount of time it would take him to cap 420 bottles

What is 49 hours?

200

If 14 dwarves (including 1 hobbit :) could escape in barrels in 3 minutes, how long it would have taken 84 dwarves

What is 18 minutes?

300

If Gandalf set off 23 rockets in 8 minutes, the number he could have set off in 24 minutes

What is 69 rockets?

400

If Minas Tirith received 102 arrows in 3 minutes, the number of minutes it would take to receive 612 arrows

What is 18 minutes?

500

If Frodo and Sam covered 25 km in 7 hours, the amount of time it would take them to cover 275 km

What is 77 hours?

Equations

100

-3x=-12

What is 4?

200

-3x+4=10

What is -2?

300

2x + 1/2=3/4

What is

1/8?

400

-3x+1/2=3/8

What is

1/24?

500

7 1/2m+2 1/3=9 5/6

What is 1? :)

Miscellany

100

0.3 as a fraction and percent

What is

3/10,30%?

200

210% of 90

What is 189?

300

root(3)(64/729)

What is

4/9?

400

9-root(3)(125)+3*2^4-(4+1-5)-:5

What is 52?

500

The volume of a right solid with base shown and height of 9 mm

What is 612 mm³?