Question

Q1

10

100

1,000

10,000


Q3

6,500,000

3,276,000

3,407,040

6,760,000


Q4

14"

18"

37"

50"

Answer 1

Explanation:

Q1 Box vol = l·w·h

=7x7x6.5=318.5 in³

M&M ~7/8in diameter ~1/2in thick

M&M vol = π·(d/2)²·t

=3.14x(7/8/2)²x(1/2) =0.3in³

no. of M&M = 318.5/0.3 = 1062

~1000

Q2 box vol=l·w·h

=11x6x3=198

198/90=2.2in³ per cookie

Q3

total possible number=10P4·26P2

=5040·650

=3276000

Q4 is diagonal of 32x18 triangle

it is >32 n <32+18=50

only ans is 37"

Answer 2

Explanation:

Q1, Reasonable lower limit for the number of M&M's can be done by using the rectangular prism volume formula = l*w*h

From the photo, there are about 8 M&Ms along its length, l and also 8 M&Ms along its width, w. Along height, h, there are about 14 stacking over each other.

So the number can be estimated as 8 * 8 * 14 = 896 ~1000

The answer is 1000.

Q2 Chocolate chip cookies:

First container is 11 * 6 * 3 = 198 cubic inches with 90 cookies

That gives an average of 198 / 90 = 2.2 cubic inches per cookie

Second container is 6 * 6 * 2 = 72 cubic inches with 33 cookies.

Again that gives an average of 72 / 33 = 2.2 cubic inches per cookie

The answer is 2.2.

Q3 Student numbers:

The first 4 characters are single digit number that cannot be repeated

So possible combinations are = 10 * 9 * 8 * 7

The last 2 characters are letters that cannot be repeated

So possible combinations are = 26 * 25

Total number of unique student numbers = 10 * 9 * 8 * 7 * 26 * 25

= 3,276,000

Q4 TV size goes by its diagonal

So it is sqrt(32^2 + 18^2)

= 37"