Arithemtic
Calculate this student's academic average to the nearest whole number percentage:
English 30-1: 100%
Social 30-1: 37%
Math 30-1: –58%
Math 31: 102%
Biology 30: 99%
Chemistry 30: 96%
Physics 30: 83%
77%
2x + 14 - x = 3(4 + x) + 2 - 3x
x = 0
Mr. Ng donated a basketball to the grad garage sale. Since the ball was so worn down, it is a near perfect sphere. What formula should Mr. Ng use to calculate its surface area?
A = 4πr2
First team to get an error on their calculator (barring syntax errors) and stand up will receive 100 points.
Yay
What is the name of a polygon that does not have any reflex angles?
Convex polygon
Evaluate the following expression:
174 - 237 + 5√(174 + 237) + e23 + 2∞ - 417 + 723
Infinity
Any expression + ∞ = ∞
If the sum of two numbers is 150, and one number is 100 greater than the other, then what is the value of the larger number divided by the smaller one?
5
Some caecilian species are cannibalistic, where offspring feed off their mother's skin for nutrients.
Assuming that a 20-cm long mother caecilian is perfectly cylindrical with a radius of 0.5-cm, how much skin does it have for its offspring to devour?
20π cm2
The following expression was given to three students to simplify:
24 ÷ 3(2 + 2)
Annie thinks the answer is 2.
Clarabelle thinks the answer is 32.
Which student(s), if any, gives a correct answer? Explain.
Clarabelle is correct.
Division is non-commutative. Since there are no brackets surrounding 3(2 + 2), the only factor affected by the division sign is 3.
Explain the relationship between the plus-minus (±) and minus-plus (∓) operations in an expression.
i.e. When in the same expression, if plus-minus is plus, then minus-plus is minus, and vice versa.
1/2 ÷ 1/2 ÷ 1/2 ÷ 1/2 ÷ 1/2 ÷ 1/2 ÷ 1/2
32
Find the equation of line in general form with a slope of -4 passes through the point (3, 2).
4x + y - 14 = 0
Caecilians are 45-cm long on average. The average height of a Sicilian is 172-cm. To the nearest whole percentage, what percent of a Sicilian's height is a caecilian's length?
26%
The number of teeth on a ostrich, after t days of growth since birth, is modelled by the multiplicative series:
t .
Pt = Π (2nt – n)
n=0 .
How many teeth does a 2-week old ostrich have?
P14 = 0
Also, birds don't have teeth.
The following properties describe what kind of shape?
1. It has a closed outline and a finite area.
2. It has an infinitely long perimeter.
3. It's outline is comprised of smaller, self-repeating sections.
Fractal
A set of 5 numbers have a median of 5 and a range of 10. What is the highest possible average?
9
What is the domain of the following?
(6x ± 4x - 20)-(1/2)
{x |x > 10, x ∈ R}
Caecilians are consumed by a tribe in Western India. On average, each caecilian contains 75 calories.
The tribe consists of 54 members, each of whom requiring 3000 calories per day to survive. If the tribe manages to hunt (39 – n) caecilians on the nth day, how many tribe members are alive on day 30?
0
On the 29th day (n = 29), the tribe manages to hunt 10 caecilians, since (39 – 29) = 10
10 caecilians × (75 calories/caecilian) = 750 calories
750 calories is less than the 3000 calories needed for one member to survive, which means the entire tribe dies before day 30. Honestly, sounds like a skill issue.
The probability of selecting a blue marble in a bag of marbles is k/3.
If the probability of selecting a red marble is k/2, and there are only red and blue marbles in the bag, what is the value of k?
k/3 + k/2 = 1
2k + 3k = 6
5k = 6
k = 6/5
Which symbol was used to denote zero in Roman Numerals?
No specific symbol
(Accept N as well)
Simplify (25%)^(25%)÷(25%)
(1/4)^(1/4)÷(1/4)
4√(1/4)÷(1/4)
√√(1/4)×4
(1/√2)×4
2√2
A square with a side length of 2x+3 increases by a factor of n. As a result, its area increases by a factor of 4x-1. What is n in terms of x? Factor your answer fully.
(2x+3)n(2x+3)n=(2x+3)(2x+3)(4x-1)
(2x+3)2n2=(2x+3)2(4x-1)
n2=4x-1
n=(2√x+1)(2√x-1)
Today is Wednesday. What day of the week will it be after 20000 days?
Thursday
20000 ÷ 7 = 2857 R1
(Add 1 day)
A triangle has one fixed side of length 2km and two variable sides a and b. If one of these two variable sides must be double the length of the other, then what is the longest possible length one of the sides could be, to the nearest whole number?
4km
A triangle cannot have any side that is longer than the other two sides combined.
a < 2 + b, a = 2b
a < 2 + a/2
a/2 < 2
a < 4
Give the first 4 digits of the golden ratio.
1.618