Algebra
Geometry
Probability
Numbers
Index Laws
100

Find the value of x:

(2x+x)/2=3

"What is, x is equal to 2"

100

Find:

The formula of Pythagorean theorem.

"What is (a^2)+(b^2)=(c^2)"

100

Another phrase for even chance.

"What is fifty fifty"

100

Round to 2 decimal places:

(Pi)

"What is 3.14"

100

Simplify:

 5^3

"What is 125"

300

Simplify the expression:

5x+2y+2x+3+2y+7

"What is 7x+4y+10"

300

A Pythagorean triad or a Pythagorean triple is "3, 4, 5" the next smallest different Pythagorean triple family is:

"What is 5, 12, 13"

300

If I flipped a coin and the first one landed on heads, find the chance that the second coin lands on heads too.

"What is 1/2"

300

Find:

 4!

"What is 24"

300

Find: 

5*5^3

"What is 5^4" or "What is 625"

500

Find the value of x:

(x-3)(x+5)=0

"What is x=3 or x=-5"

500

Provide the formula for a trapezium.

Answers may vary.

500

If I flip a coin 5 times in a row find the chance that they all land on heads.

"What is 1/32" or "What is 0.03125"

500

Find:

2 (tetrated) to 3

"What is 16"

500

Find:

5^0

"What is 1"

700

Simplify:

(x+3)(x-3)

"What is (x^2)-9"

700

If Circumference = (pi)*D, rearrange the formula making the diametre the subject.

"What is D=C/(Pi)"

700

In a lottery game, each lottery ticket has a 2% chance of winning. If a man buys 10 tickets find the probability that at least one of them wins. Round the answer to 1 decimal place in percentage form.

"What is 18.3%"

Working out:

=1–(1–0.02)^10

=1–(0.98)^10

=1-0.81707

≈0.1829

≈18.3%


700

Find how many seconds are in an hour.

"What is 3600 seconds"

700

Simplify:

(x^2*x^3)/(2x*x)

"What is (x^3)/2"

1000

Using algebra explain why 0.999... is equivalent to 1.

"What is:

x=0.99...

10x=9.99...

10x-x=9

9x=9

x=1"

1000

Use a method to prove Pythagoras' theorem, the proof must include 4 right angled triangles with side lengths "a" and "b", a square with side lengths of "a", a square with side lengths of "b", and a square with side lengths of "c".

Explain and draw your response on an available whiteboard.

Answers may vary.

1000

If X has 2 children and one child is a girl, find the probability that the other child is a boy.

"What is 2/3"

1000

Find the first perfect number.

"What is 6"

1000

Find and round to 1 decimal place:

(1/4)^2

"What is 0.1"

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