Mental Math
Individual Contest
College Bowl 1
College Bowl 2
College Bowl 3
100

What is the perimeter of a square with an area of twenty-five square centimeters?    

20

100

Evaluate:    324-169

155

100

How    many    positive    factors    does    two    thousand    twenty    have?    

12

100

How    many    ways    are    there    to    choose    three    students    from    a    group    of    seven    students?    

35

100

If    you    flip    a    coin    three    times,    what    is    the    probability    of    having    at    least    one    tail?    

7/8

200

What is the slope of the line connecting the point three comma five and the point one comma negative one?    

3

200

The    sum    of    three    consecutive    integers    is    2019.    What    is    the    smallest    of    the    three    integers?    

672

200

To    the    nearest    thousandth,    what    is    twenty-four    divided    by    twenty-one?    

1143

200

What    is    one    squared,    plus    two    cubed,    plus    three    to    the    fourth    power?    

90

200

What    is    the    sum    of    all    integers    from    forty-one    to    one    hundred    forty,    inclusive?    

9050

300

What is the square of fifty-five minus the square of forty-five?    

1000

300

Let    7=3x−y,    and    5x=2y+8.    What    is    x+y?    

17

300

A    book    costs    twenty    dollars.        Its    price    is    reduced    by    ten    percent,    and    then    increased    by    ten    percent    for    sales    tax.        What    is    the    final    price?    

$19.80

300

What    is    one    hundred    mod    twenty-five    

0

300

What    is    the    sum    of    all    integers    from    forty-one    to    one    hundred    forty,    inclusive?    

162

400

In how many ways could you rearrange the letters in the word  D-I-V-I-D-E?    

180

400

Evaluate:    432.    

1849

400

Not    counting    zero,    what    is    the    sum    of    the    first    four    even    numbers    in    the    Fibonacci    sequence?    

188    

400

If    the    day    before    yesterday    was    Saturday,    what    day    is    fifty-three    days    from    the    day    after    tomorrow?    

Sunday

400

Round    the    square    root    of    two    thousand    nineteen    to    the    nearest    whole    number.    

45

500

What is the minimum of the parabola y = x2 - 8x - 2 as a coordinate point?    

(4,-18)

500

A    bag    of    marbles    contains    4    red,    6    white    and    8    blue    marbles.    If    two    marbles    are    drawn    without    replacement,    what    is    the    probability    that    both    are    red?    

2/51

500

In    a    room    of    forty    people,    how    many    distinct    handshakes    can    be    made?    

780

500

What    is    the    positive    difference    between    the    degree    measure    of    interior    angles    of    a    regular    pentagon    and    a    regular    dodecagon?    

42

500

Round    the    square    root    of    two    thousand    nineteen    to    the    nearest    whole    number.    

9 zeros