Logic (10 July)

Mixed Number Problems

100

2 1/2"of this number is"7 1/3

"What is" 44/15?

200

3 1/2 "of" 6 1/4 "is this number" 

"What is" 175/8?

300

"This fraction of" 4 3/8 "is" 1 2/5

"What is" 8/5?

400

5 5/8 "of this number is" 4 1/4

"What is" 34/45?

500

"This fraction of" 2 7/9 "is" 8 1/3

What is 3?

Distance Problems

100

How long it would take Helen to travel 600 km if she is traveling at 40 kmph

What is 15 hours?

200

Harry's speed if he is traveling 350 miles in 7 hours

What is 50 mph?

300

How far Harry could travel in 12 hours at that rate

What is 600 miles?

400

How long it would take Harry to travel 800 miles at that rate

What is 16 hours?

500

If a taxi has traveled 360 kilometers in 3 hours, it would cover this many miles in 10 hours

What is 1,200 km?

Proportions with Fractions

100

(1/2)/(1/8)=2/x

"What is" 1/2?

200

x/(3/4)=(1/3)/(2/5)

"What is" 5/8?

300

x/(2/3)=(1/5)/(1/6)

"What is" 4/5?

400

(3/2)/(1/5)=(1/4)/x

"What is" 1/30?

500

(2/3)/x=(5/8)/(1/5)

"What is"16/75?

Circles

100

The distance from the center of a circle to every point on it

What is the radius?

200

The value of

pi

What is 3.14?

Extra for more digits...

300

The diameter of a circle with radius 5 cm

What is 10 cm?

400

The circumference of a circle with radius 5 cm

What is 31.4 cm?

500

The area of a circle with radius 5 cm

What is 78.5 cm²?

Miscellany

100

The value of j^k if j = 9 and k = 2

What is 81?

200

30% of 16

What is 4.8?

300

8 1/3 - 7 5/8

What is

17/24?

400

45% as a fraction and a decimal

What is 9/20 and 0.45?

500

DAILY DOUBLE!

The surface area of a box that measures 20 mm x 16 mm x 12 mm