Index Laws
Expansion
Factorisation
Algebra and Inequalities
Science Trivia
100

What is the value of 23?

8

100

Expand 3(m+2)

3m + 6

100

Factorise 3m + 9

3(m + 3)

100

What is the value of m: m + 2 = 8

m = 6
100

What is the powerhouse of the cell?

Mitochondria

200

Simplify y2 x y3 

y5

200

Expand (m+4)(m-2)

m+ 2m - 8
200

Factorise m2 - 16

(m + 4)(m - 4)

200

What is the value of m: (m + 2)/3 = 4

m = 10

200

On Venus it rains diamonds: True or False

False

It can snow metals such as lead on Venus. On Jupiter it can rain diamonds due to the pressure of the methane rich atmosphere.

300

Simplify ((y5)2)/y2

y8

300

Expand 2(m2 + 3m + 1)

2m2 + 6m + 2

300

Factorise m2 - 20

(m + sqrt(20))(m - sqrt(20))

300

Solve the inequality: -3y + 4 < 10

y > -2

300

Which happened first? The pyramids of Egypt were built or the wooly mammoths die out.

The pyramids of Egypt were built before all Wooly mammoths died out. In Siberia small herds of Wooly mammoths roamed the frozen wastes.

400

Simplify (3a2b3)2 x 2b0

18a4b6

400

Expand (2m - 3)(m + 5)

2m2 + 7m -15

400

Factorise m2 + 5m + 6

(m + 2)(m + 3)

400

Solve for m: (4m - 4)2 = 16

m = 2

400

Which is more likely to dissolve in your stomach a piece of metal or a piece of corn?

A piece of metal would dissolve first in a human stomach compared to a corn kernel. This is because the stomach's acidic environment, with a pH of around 1 to 2, is strong enough to start breaking down certain metals, especially if they are small and reactive.

On the other hand, the tough outer layer of a corn kernel, made of cellulose, is resistant to stomach acid. Humans lack the enzyme cellulase needed to break down cellulose, so the outer layer of the corn kernel remains largely undigested as it passes through the digestive system.

500

Simplify (2m3/n2)2

4m6/n4

500

Expand 2(m + 2)2

2m2 + 8m + 8

500

Factorise 2m2 + 20m + 50

2(m + 5)2

500

Solve the inequality : 2(12 + m) > 4m

4 > m

500

Which of the following is a closer relative to the hippopotamus? Whales or manatees?

Whales are more closely related to hippos based on fossil records.

On the other hand manatees are more closely related to elephants than hippos.

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