Subtest II: Mathematics (CSET)
Which of the following numbers are integers? 1/2, -2, 0, 4, 3.2
-2, 0, 4
Rational Numbers
-All values that can be expressed in the form a/b, where a and b are integers and b ≠ 0 -Or, when expressed in decimal form, the expression either terminates or has a repeating pattern Examples: 4 1/2 = 9/2; therefore, 4 1/2 is a rational number 0.3 is a terminating decimal; therefore, 0.3 is a rational number 0.134343434... is a repeating decimal; therefore, 0.134343434 is a rational number
First 4 positive Squared Numbers
1, 4, 9, 16
First 4 positive cubed numbers
1, 8, 27, 64
How many yards are in 1 mile?
1,760 yards
How many centimeters in 1 meter?
100 centimeters
How many ounces are in 1 pound?
16 ounces
How many pounds are in 1 ton?
2,000 pounds
How many inches are in a yard?
36 inches
How many feet are in 1 mile?
5,280 feet
Which of the following are rational numbers? 5.8, 6, 1/4, ℼ, √4, √7
5.8, 1/4, π, √7
What is the formula to find the volume is a square?
A = a^2
What is the formula to find the area of a rhombus?
A = ah
What is the formula to find the volume for a parallelogram?
A = bh
What is the formula to find the volume of a rectangle?
A = bh
What is the formula to find the area of a triangle?
A = bh/2
What is the formula to find the area of a trapezoid?
A = h(b [subscript] 1 + b [subscript] 2) / 2
What is the formula to find the area of a circle?
A = πr^2
Prime Number
A natural number greater than 1, and that only has 1 and itself as divisors (the first seven prime numbers are 2, 3, 5, 7, 11, 13, 17)
What is an angle bisector?
A ray from the vertex of an angle that divides the angle into two equal pieces
Identity Number
A value that, when added to another number or multiplied with another number, does not change the value of that number
Real Numbers
All rational and irrational numbers
Integers
All the whole numbers together with their opposites (-3,-2,-1, 0, 1, 2, 3)
Irrational Numbers
All values that exist but are not rational - Ex. Pi or √2
What is a right angle?
An angle that is 90 degrees
What is a straight angle?
An angle that is measured at 180 degrees
What is an acute angle?
Any angle that measures less than 90 degrees
What is an adjacent angle?
Any angles that share a common side and a common vertex
What is the formula to find the circumference of a circle?
C = πd or C = 2πr
How do you divide fractions?
Invert the second fraction and multiply
Whole Numbers
Natural Numbers together with 0
Natural Numbers
Numbers you would naturally count by (1, 2, 3, 4 ...), zero is not a natural number
What is the formula to find the perimeter of the parallelogram?
P = 2a + 2h or P = 2(a +b)
What is the formula to find the perimeter of a rectangle?
P = 2b + 2h or P = 2(b + h)
What is the formula to find the perimeter of a rhombus?
P = 4a
What is the formula to find the perimeter of a triangle?
P = a + b + c
What is the formula to find the perimeter of a trapezoid?
P = b [subscript] 1 + b [subscript] 2 + x + y
Identify whether all 4 quadrants in a graph are positive, negative, or positive and negative
Quadrant I: (+,+) Quadrant II: (-,+) Quadrant III: (-,-) Quadrant IV: (+,-)
What formula do you use to find the perimeter of a cylinder?
SA = (circumference of the base) + 2 (area of the base) or SA = 2πrh + 2πr^2 or SA = 2πr(h + r)
What formula do you use to find the perimeter of prisms in general?
SA = (perimeter of the base) + 2(area of the base)
What is the formula to find the perimeter for a rectangular prism?
SA = 2 (lw + lh + wh) or SA = (perimeter of the base)h + 2(area of the base)
What formula do you use to find the perimeter of a sphere?
SA = 4πr^2
What is the formula to find the surface area of a cube?
SA = 6a^2
What are adjacent angles?
Those angles sharing a common side and a common vertex
What is a supplementary angle?
Two angles whose sum is 180 degrees
What is a complementary angle?
Two angles whose sum is 90 degrees
What is a square root rule?
Two numbers multiplied under a radical sign equal the product of the two square roots
What formula do you use to find the volume of prisms in general?
V = (area of the base)h
What formula do you use to find the volume of a cylinder?
V = (area of the base)h or V = πr^2h
What formula do you use to find the volume of a sphere?
V = 4/3πr^3
What is the formula to find the volume of a cube?
V = a^3
What is the formula to find the volume of a rectangular prism?
V = lwh or V = (area of the base)h
What is the rule for adding or subtracting under a radical?
When adding or subtracting under a radical sign, the numbers must be combined under the radical before any computation of square roots may be done
When is the scientific notation number negative?
When converting a decimal into a scientific notation (Ex. 0.0032 >>> 3.2 x 10-³
When is the scientific notation number positive?
When converting from a whole number (Ex. 360,000 >>> 3.6 x 10⁵
What are vertical angles?
When two lines intersect they form two of opposite angles (congruent)
Transversal
When two parallel lines are cut by a third line
Associative Property for Addition
a + (b + c) = (a + b) + c
Communicative Property for Addition
a + b = b + a
Associative Property for Multiplication
a(bc) = (ab)c
Communicative Property for Multiplication
ab = ba
What is the percentage increase or decrease formula?
change/starting point x 100% = percentage change
What is the formula to find the perimeter?
p = 4a
What is the formula for slope?
slope = rise/run
How can all linear equations be written?
y=mx+b
