Logic: Challenge A Review

Problems 1

100

The number of different ways 4 of 10 objects can be arranged in a row

What is 24?

200

Distribute:

m^3b(m^3+b^2+cm)

What is

bm^5+b^3m^2+bcm^3?

300

(-1/4)/(2/7)=x/(1/3)

What is

x=-7/24?

400

The volume in cubic meters of the right pyramid drawn

What is 48 m³?

500

Eleven and one-fourth percent of this number is 562.5

What is 5000?

600

The number of ratio problems if the ratio of ratio to non-ratio is 1 to 29 and there are 3930 problems in all

What is 131?

Problems 2

100

The value of z in the triangle drawn

What is 54^o?

200

The probability that a fair coin, tossed 7 times, will be tails every time

What is

1/128?

300

pi

belongs to these number sets

What are reals and irrationals?

400

The surface area in square meters of the right pyramid drawn

What is 96 m²?

500

The new number of reminiscences if the previous number was 840 and they increased 110%

What is 1764 reminiscences?

600

The amount Donnie paid for a 360-in³ motor if it was marked down 25% from the original price of $1500

What is $1125?

Problems 3

100

(-3)^-2

What is

1/9?

200

-a^-2+b^-3

if a = 3 and b = -5

What is

-136/1125?

300

2/9

belongs to these number sets

What are reals and rationals?

400

The value of y in the triangle drawn

What is

sqrt(88)?

500

5x-4+2x-1=3x+6+2x+1

What is

x=6?

600

A given number if the product of 21 and the number, decreased by 102, results in the product of 11 and the number increased by 8

What is 11?

Problems 4

100

Add like terms:

2abab-4ba^2b+7ab^2a+3a^2b

What is

5a^2b^2+3a^2b?

200

The value of m, given the proportional triangles drawn

What is

18/7?

300

11,000,000 km³ converted to cm³

What is 11,000,000,000,000,000,000,000 or 1.1 x 10²² cm³?

400

10 belongs to these number sets

What are reals, rationals, integers, wholes, and naturals?

500

The average number of assignments per week Steve was given if he was given 14 the first week, 17 the second, and 23 the third

What is 18 assignments?

600

The sketch of the line

y=3x-2

What is...? (show work)

Problems 5

100

5!

What is 120?

200

1000 mL converted to m³

What is 1000 m³?

300

The area of the trapezoid drawn

What is 63 in²?

400

148.5 is this percent of 90

What is 165?

500

The time it took the caravan to travel a total distance of 270 miles if it covered the first 90 miles in 15 hours and doubled its rate for the next 180 miles

What is 30 hours?

600

The number of different ways 10 objects can be arranged in a row

What is 3,682,800?