Mu Alpha Theta

Algebra

100

Given 3y - 8x = 15, what is the y-intercept of the graph?

y = 5

200

If you can run “600 yards” in 1 minute 40 seconds, how fast is this in miles per hour. (1760 yards/mile)

12.2 mph

300

A Number, n, is increased by 8 and the cube root is -0.5, what is the value of n?

-8.125

400

Tickets for a show costs $3 and $5. If 50 tickets are sold for $230, how many tickets were sold for $3?

10 $3 tickets are sold

500

There are some pigs and some chickens. They find that together there are 70 heads and 200 legs. How many pigs and chickens do they have?

30 pigs and 40 chickens

Geometry

100

Given a triangle, ABC, angle BAC is 44° what is the sum of angle ABC & ACB?

136°

200

What is the measure of all the interior angles of a Hexagon?

720°

300

Given a 30-60-90 triangle with hypotenuse of 6, what is the length of the shortest side?

3

400

What is the arc length of a circle with radius = 5 and angle = 53°? (Rounded to two decimals)

4.62 or 4.63

500

In the figure above, line AB and CD are parallel. What is x in terms of y and z?

y + z

Pre-Calculus

100

What is the value of sin(-5π/6)?

-1/2

200

What is the distance between the points (13, 4) & (5, 3)?

(65)^1/2 or 8.06

300

sin(θ/2) = ? (Trig Identities)

±( (1 - cos(θ)) / 2 )^1/2

400

What is the exact value of sin(π/2) * cos(π/3) in simplest form?

0.5

500

Mr. Henderson is throwing a party. 

On the first ring, 1 guest enters. 

On the second ring, 3 guests enter.

On the third ring, 5 guests enter.

How many guests are present after the 50th ring?

2500 guests

Calculus

100

What is the derivative of tan(x)?

sec²(x)

200

What is the limit of 13x² / 39x³ as x approaches infinity?

0

300

∫ x³ / (x⁴ + 3) dx = ?

1/4 * ln(x⁴ + 3) + C

400

What is the derivative of (5x + 1) / (3x - 4)?

-23 / (3x - 4)²

500

What is the value of the definite integral from 0 to 3 ∫ (5/x² + x^-5 - x^1/3) dx?

1.0852

Challenge

100

What is 35 divided by a half multiplied by 3, add 13 and minus 7?

216

200

The sum of 3 consecutive numbers is 99, what is the value of the largest consecutive number divided by 2?

17

300

What is the next number in this sequence: 41, 43, 47, 53, 59,…?

61

400

If x¹⁰ = 5 and x⁹ / y = 5555, what is the value of 1 / (xy)?

1111

500

x^x = 2²⁰⁴⁸, what is the value of x?

256