Mishmash
Logs/Exp
Random - maths
Random - World Cup
Brain Teasers
Brain Teaser II
100
Logarithm product rule
Log_a(MN)
The logarithm of a product:
loga(MN)=logaM + logaN
100
How can we rewrite this statement as a logarithmic equation?
be = n
logb n = e
100
Solve for z:
z^4=16
Only half the points if only two answers are given
+- 2, +2i, -2io
100
One of these countries has never won the FIFA Women's World cup?
England
Germany
Norway
Japan
England
100
It gets wet the more it dries
A towel
100
I have one eye, but cannot see
Needle
200
Factorize fully
x^5-16x
x(x+2)(x-2)(x^2+4)
200
How can we rewrite this statement as an exponential equation?
loga c = b
ab = c
200
Evaluate each expression.
(a) log6 6
(b) log4 1/64
(a) 1
(b) -3
for 100 each
200
Which country has been to the most World cup finals(men's) without ever winning it?
Netherlands
200
Evereyone has it, and No one can lose it!
A shadow
200
A plane crashes on the Cambodian-Laos border and every single person died. Later a man is seen on tv claiming to have survived. How?
He is married
300
How many real roots?
x^3+2x^2+4x=0
one
300
Solve for x in the equation.
logx81 = 2
x = 9
300
Given that logax = p and logay = q
Find, in terms of p and q, logy
logysqrtx
p/(2q)
300
Name three countries/teams (men's) that have been champions before, but did not make it to the last 8 in Qatar 2022.
Germany
Italy
Uruguay
Spain
300
I am where yesterday follows today, and tomorrow is in the middle!
A dictionary
300
Mom and Dad have four daughters and every daughter has a brother. How many people in the family?
7
400
Solve for x.
logx100 = 2
x=10
400
Solve the equation:
2^(2x)-3(2^x)-4=0
x = 2
400
Solve for x in
log(x^2 -1)=1+log(12)
x = 11
400
Name a past world cup Champion(men's) who did not qualify for Qatar 2022
Italy
400
issue. issue. issue. issue. issue.
issue. issue. issue. issue. issue.
Tennis shoes
(Ten-issues)
400
He/she who makes it has no need of it. He/she who buys it, has no use for it. He/she who uses it can neither see nor feel it.
What is it?
A coffin
500
Write the expression as a single logarithm.
1/4logcx + 5logcz - logcy
logc (x1/4 z5 / y)
500
Solve the equation to find x, leaving your answer(s) as an exact value(s).
2e^(2x)-7e^x+6=0
x = ln(2), ln(3/2)
500
Find the inverse of f(x), clearly stating its domain.
f(x) = 2e^x+5
f^-1(x)= ln((x-5)/2)
D: x>5
500
Which country is the most successful in the FIFA Women's world cup?
United States
500
Your mother's brother's only brother-in-law
Your father!
500
If you have it you do not share it. If you share it, you lose it.
A secret
600
Name everybody in this picture!
Mr. Mo, Dina K(G10), Amy U(G12), Selin C (left), Kudzai N (left)
Jayco (left), Rio E(left), Lisa E(left), Kelly N(G12), Tania M(G11)
600
First, you throw away the outside and cook the inside. Then you eat the outside and throw away the inside. What did you eat?
corn on the cob
600
What can be seen once in a minute, twice in a moment or two, but never the whole of this year?
The letter M