Equations
Fraction Problems
Changing Rates
Semicircles
Miscellany
100

3x-2=7

What is x = 3?

100

The number of dwarves living in the Lonely Mountain if five-sixths of them, 45 dwarves, had unhappy faces

What is 54 dwarves?

100

If the Comrades runner covered the first 20 kilometers in 2 hours and the next 70 in 5 hours, how much his rate had increased

What is 4 kmph?

100

The perimeter of a semicircle with a diameter of 11 cm

What is 17.27 cm?

100

1.7 x 105 in standard notation

What is 170,000?

200

13x+6=32

What is x = 2?

200

If 8/9 of Bilbo's 117 stories told of adventure and danger, the number of such stories he told

What is 104 stories?

200

If Little Red Riding Hood walked the 8 miles to her grandmother's house in 4 hours and ran home at a rate 4mph faster, how long it took her to get back

What is

1 1/3 hour?

200

The area of a semicircle with radius of 4 ft

What is 25.12 ft2?

200

49% of 52

What is 25.48?

300

2/3x-1/6=1/2

What is x=1?

300

If when the fog lifted, 400 orcs were spied skulking and 2400 others were not spied, the fraction that was not spied

What is

7/8?

300

If Prince Charming traveled 60 leagues in 2 days and doubled his rate thereafter, the time it took him to go 300 leagues further

What is 5 days?

300

the perimeter of the figure on the board, in millimeters

What is 51.88 mm?

300

root(j)(k)

if j = 5 and k = 32

What is 2?

400

5x+6 13/14=12 2/7

What is

x=17/14?

400

The number of runners that finished Comrades if 3/5 of them finished and 25,000 began the marathon

What is 15,000 runners?

400

If Willie Wonka's chocolate machine could produce 500 bars in 2 hours and its rate then tripled, the number of bars that would be produced in 10 hours

What is 7500 bars?

400

The area of the same figure, again in millimeters

What is 164.25 mm2?

400

7/10+2/5(4/7+3/5)

What is

409/350?

500

1 1/4x-1/3=3/5

What is

x=16/75?

500

If 2 1/3 times as many hobbits as usual were at the Prancing Pony, 70 hobbits, the usual number there

What is 30 hobbits?

500
If the pickling lady could pickle 500 cucumbers in 2 hours and her rate slowed by half thereafter, the time it would take her to pickle the other 2000 cucumbers

What is 16 hours?

500

Find the perimeter of the figure on the board, in inches

What is 29.7 in?

500

12 - root(3)(125)+9*3^4-(4+8-3)-:3

What is 733?