Functions
Geometric
Algebra
Probability
Mixed
100

factor form of x2-10x+25

(x-5)2

100

A right triangle with side lengths of 14cm, find the area

98cm2

100

result of 4x2-3x when x is equal to 2

10

100

 Using a six-sided die, Carlin has rolled a six on each of 4 successive tosses. What is the probability of Carlin rolling a six on the next toss?

1/6

100

How many solid 1*1*1 cubes are required to make a solid 2*2*2 cube?

8

200

if f(x)=3/2 x - 8, what is f(x) when x=-8

f(x)=-20

200

Find the perimeter of a square that has an area of 25

20

200

if a+b=15, a(x-3)+b(x-3)=60, find the value of x

7

200

There are 6 blue marbles, 3 red marbles, and 5 yellow marbles in a bag. What is the probability of selecting a blue or red marble on the first draw?

9/14

200

What is the reciprocal of ?

6/7

300

x-2y=5;

x+2y=11;

solve x

x=8

300

a triangle with 31cm2 is inside a square with side of 7cm. Find the area that is not under the triangle.

18cm2

300

√(2x+7-x)=2, find the value of x

-3

300

In a photograph, Aristotle, David, Flora, Munirah, and Pedro are seated in a random order in a row of  chairs. If David is seated in the middle of the row, what is the probability that Pedro is seated beside him?

1/2

300

If 2a = 3b, and 4a + b = 21, what is b

b=3

400

the fraction (x-2)/x2+4x-21 is not defined when x=

x=-7 or 3

400

the area of a rectangle is 32∏, a semi circle has the same area, find the radius

4

400

if 2r=64 and 5s=25, find r+s

8

400

Three fair coins are tossed at the same time. What is the probability that all three coins will come up heads OR all will come up tails?

1/4. 1/8 (all heads) + 1/8 (all tails) = 1/4.

400

If cos 60° = cos 45° cos θwith , solve θ

θ = 45°

500

f(x) = 4/3 x + c, if f(9)=15, find f(c)

f(c)=7

500

the height of a cone is 9 cm, and its radius is 2cm, find the volume of the cone

∏*22*9/3=12∏

500

solve 42x−3 = 161−x

5/4

500

Five students, all of different heights, are randomly arranged in a line. What is the probability that the tallest student will be first in line and the shortest student will be last in line?

1/20. 1x3x2x1x1=6, 6 ways in which students can be arranged under given conditions. Under no conditions, the ways are 5x4x3x2x1=120. 6/120=1/20.

500

A large water jug is 1/4 full of water. After 24 litres of water are added, the jug is 5/8 full. What is the volume of the jug, in litres?

64 L

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