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Trigonometry

100

What is the reciprocal of sin(x)?

cosecant(x)/cosec(x)

200

If cos(x)=0.8, find sin²(x)

0.36

300

What is the period of y=cos(x/2)?
In πRadians

4π

400

What is the value of 2cos²(45^∘) −1 ?

0

500

A triangular park has sides 3, 4, and 5. What is the cosine of the largest angle?

0

Quadratics

100

Solve x²=3x

x=0,3

200

Write x²−4x+1 in the form (x−a)²+b

(x−2)²−3

300

Find the value of k that makes x²+6x+k a perfect square  

k=9

400

Find the equation of a parabola with vertex (1,4) and passing through the origin

y=−x²+2x

500

Find the minimum value of the expression 2x²−4x+5

3

Statistics

100

What type of data is 'favorite color'?

Qualitative (or Categorical)

200

A factory produces light bulbs. The mean lifetime of the bulbs is 500 hours with a standard deviation of 20 hours. A bulb's lifetime of 540 hours is how many standard deviations from the mean?

2

300

What's the relationship between variance and standard deviation?

Standard deviation is the square root of the variance

400

The mean of 5 numbers is 12. If a new number, 18, is added, what is the new mean?

13

500

The heights of students in a class are 1.5m, 1.6m, 1.7m, and 1.8m. A student is randomly selected. What is the probability that the student's height is greater than the mean height of the class?

0.5

Integration

100

∫5x⁴ .dx

x⁵ + Constant

200

 ∫ sec²(x) .dx 

tan(x)+ Constant 

300

∫e^5x  .dx

(1/5)e^5x+ C

400

∫(1/2x+3) .dx

1/2[ln(2x+3)]+ Constant 

500

A particle's velocity is given by v(t)=2t. Find the displacement from t=0 to t=4

16

Mathematics Symbols

100

≈

Approximately

200

∫ 

Integral

300

∣x∣

Modulus / Absolute value of xFor all

400

!

Factorial

500

∂

Partial derivative