CT1 Topics
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Double Point Questions
IT COULD BE ANYTHING!!!
100
Which of the following is an irrational number?
\sqrt{12}=2\sqrt{3}
100
Solve the following equation:
\frac{1}{5}+\frac{1}{6}=\frac{2x}{3}
x=\frac{11}{20}
100
Simplify fully.
\frac{(2x)^2+8xy}{4xy}
\frac{(2x)^2+8xy}{4xy}=\frac{x+2y}{y}
100
Round each value to 1 s.f. then give an approximate answer.
\frac{2\pi+21}{14.5+2.9005}
\frac{6+20}{10+3}=\frac{26}{13}=2
100
What is the name of the ninja-in-training from Konoha who dreams of becoming the Hokage?
Naruto Uzumaki
200
Which of the following is incorrect?
a) \frac{3^5\times3^3}{3^7}=3
b) \sqrt{64x^10}=8x^6
c) 4^{-3}=\frac{1}{64}
b)
\sqrt{64x^10}\ne 8x^6
200
Solve the following inequality:
-3x-4\geq11
x\leq-5
200
Rearrange and make b the subject.
a=\frac{b^2}{4}-10
b=\pm\sqrt{4a+40}
200
Solve to find the intersection point.
3x-y=12
2x+y=13
x=5
y=3
(x,y)\rightarrow(15,3)
200
What is the term used for a score of one under par on a hole in golf?
Birdie
300
If x=3\times10^5 and y=6\times10^{-3} corrected to 1 s.f., find the least possible value of \frac{x}{y}
\frac{x}{y}=\frac{2.5\times10^5}{6.5\times10^{-3}}=38500000\text{ (3 s.f.) }
300
Write 2x^2-8x+4 equation in the form a(x+b)^2+c and state what a, b and c equal.
2x^2-8x+4=2(x-4)^2-28
a=2,b=-4, c=-28
300
Simplify fully the following fraction.
\frac{x^2+2x+1}{x^2-1}
\frac{x^2+2x+1}{x^2-1}=x+1
300
Shade the diagram for the following statements.
a)
A\capB'
b)
A'\cupB'
a)
b)
300
What TV show features Hawkins High School?
Stranger Things
400
Draw a Venn Diagram to describe the following information about a group of employees.
All employees in a company of 35 work in at least one of three departments.
- Ten employees work in Marketing only.
- Five work in Sales only.
- Three work in HR only.
- Two employees work in all three departments.
- Equal numbers work in two departments.
Bonus 500 Points solve for the unknown!
Bonus (down below):
x = 5
400
Solve the equation by using the quadratic formula. State your answers in EXACT form (no rounding, keep all surds).
3x^2-10x+4=0
x=\frac{5\pm\sqrt{13}}{3}
400
V varies inversely as M. If V = 6 and M = 2, calculate the value of V when M = 6.
V = 2
400
Expand and simplify.
(\sqrt{2}+\sqrt{3})^2
(\sqrt{2}+\sqrt{3})^2=5+2\sqrt{6}
400
What is the name of the longest-running TV show in history?
The Simpsons
500
If it takes 6 men 4 days to dig a hole 3 metres deep, how long will it take 10 men to dig a hole 7 metres deep?
5.6 Days
500
Solve the following equation.
4x^3=x
x=0,\frac{1}{2},-\frac{1}{2}
500
If f(x)=2x+10
Find
\text{a) } f(3)
\text{b) } x\text{ when } f(x)=-2
f(3)=16
f(x)=-2,x=-6
500
100 Students were interviewed, 28 took PE, 31 took Biology and 42 took English. 9 took PE and Biology, 10 took PE and English, 6 took Biology and English. 20 took none of these subjects. Draw a Venn Diagrams and create algebraic expressions within.
500
What is the stage name of the rapper born as Nayvadius Wilburn?
Future.