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Math^5
100

What is the square root of 5 rounded to the nearest thousandth

2.236

100

What is the reciprocal of -3?

-1/3

100

If 3x + 8x + 4x = 6x + 63, then what is 5x + 23?

58

100

If the positive square root of x is between 3 and 11, then what inequality represents all possible values of x?

9 < x < 121.


100

This year, a salesman sells a total of $60,000 worth of steak knives by going door-to-door. This represents a 20% increase from the year before. What was the value of his sales last year?

$50,000

200

x/3 = (2x + 3)/7

x=9

200

Carol is three times older than Andrew. Brad is two years older than Andrew. In six years, the sum of Andrew’s and Brad’s ages will be the same as Carol’s age. How old is Carol?

24

200

A cab ride costs $3.25 for the first half-mile and $0.70 for each mile after the first half-mile. How far can someone travel for $12?


13

200

13 – 2(2x + 1) = 1

5/2

200

|x + 5| = 3

-8 and -2

300

100^2-15^3

6625

300

A rocket is projected vertically upwards.

Its equation of motion is given by h = 500t − 5t2, where h is the height above the ground in meters and t is the time in seconds.

After how many seconds does it reach a height of 10,880 meters?

After 32 seconds and again after 68 seconds from t=0.

300

If   3x − 5y = 21 and 9x2 + 10y = 6, what are two possible values of x?


300

What are the y coordinates of the points where the parabola y2 = -4x + 9 and the straight line
3x + 2y = -2 intersect?


300

If   x + y = 7 and x2 = 3(y − 1), what are two possible values of x?

x = -6 or 3

400



The above shows part of the graph of the function f(x) = x2 + 8x + 15.

Whats the vertex?

(-4,-1)

400

She needs twelve more shoes, but this approximate - they do not fit exactly:



12 more shoes

400

Use 1 cm^2 squared paper to draw a right triangle with one leg of length 7 cm and hypotenuse of length 25 cm.

Use a ruler to measure the length of the other leg.
What is the length of the other leg?

24 cm

400


The diagram shows a square-based pyramid with base lengths 6 in and height 8 in

What is the volume of the pyramid?

96 in^3

400


What is the size of the missing angle "B"?

38.2

500

PT is a tangent to a circle center O and angle TOP = 71°


What is the size of angle OPT?

19 degrees

500


What is the fifth interior angle of the pentagon?

114

500

A pentagonal pyramid has the following properties:

Base Area = 90.8 in.2
Perimeter = 36.3 in.
Height = 12 in.
Side Length =13 in.

All side faces are the same.
What is its total surface area?

326.75 in^2

500

The exterior angles of a nonagon are z°, 2z°, 3z°, 4z°, 5z°, 6z°, 7z°, 8z° and 9z°
What is the value of z?

8

500

What is the sum of the exterior angles of a square?

360