Foundations of Mathematics and Pre-Calculus 10

Measurement and Geometric Solids

100

This geometric solid is the result of 4 equilateral triangles being assembled in 3 dimensions.

What is a regular tetrahedron?

200

In the Imperial System, this length is 12 feet. But in the metric system, it is another value.

What is 3.6 meter?

300

The volume of this solid is given by  V=1/3pir^2h 

What is the volume of a right cone?

400

If a right pyramid has base measurements 4 cm by 4 cm and a slant height of 7 cm, then what is the lateral surface area?

 56  cm^2 

500

If the diameter of a sphere is 10 cm, then what is the exact surface area?

 100pi  cm^2 

Trigonometry

100

This trigonometric ratio is defined as the adjacent side-length divided by the hypotenuse.

What is the cosine ratio?

200

For a right triangle, if the measure of the side-length adjacent to theta is 12.3 cm, and the hypotenuse measures 16.1 cm, then what is the approximate value of  theta ?

theta~~40^@

300

A ramp makes an angle of 37 degrees with the ground. If the top of the ramp is 1.13 m above the ground, then what is the approximate length of the ramp rounded to two decimal places?

1.88 m

400

This trigonometric ratio can be greater than or equal to 1.

What is the tangent ratio?

500

A triangle has an angle of inclination of  theta . If the base is 3 units, the height is 4 units, and the hypotenuse is 5 units, then what is 

41/15

Factors and Products

100

This number can be expressed as a product of primes.

What is a composite number?

200

What is the least common multiple between 4, 8, and 23?

184

300

Factor:

 4x^2-25y^2 

(2x-5y)(2x+5y)

400

Factor:

 x^2-7x+12 

(x-4)(x-3)

500

Factor:

 2x^2-3x-9 

(2x+3)(x-3)

Roots and Powers

100

When written in rational exponential form,  sqrt(x^5)= 

x^(5/2)

200

This number cannot be expressed as a ratio of integers.

What is an irrational number?

300

Simplify:

 sqrt(192) 

8sqrt(3)

400

If some positive number 'n' is raised to a negative exponent, then the result is a number that is greater than 1. What are all possible values of n?

0<n<1

500

Simplify:

(4/25)^(3/2)

8/125

Relations and Functions

100

True or False:

All relations are functions, but not all functions are relations.

False.

All functions are relations, but not all relations are functions.

200

This test can be used to determine whether a relation is a function or not.

What is the Vertical Line Test?

300

Given the relation, determine whether or not it is a function, then state the range:

 {(alpha,beta),(gamma,delta),(gamma,pi)} 

No, it is not a function.

{beta,delta,pi}

400

A variable whose values are countable.

What is a discrete variable?

500

 f(x)=x^2+3x-2 then  f(-3)= 

f(-3)=-2