Maths Flashcards

1
Q

If the discriminant is negative, what does that tell you about the roots of a quadratic?

A

There are no real roots.

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2
Q

If the discriminant is 0, what does that tell you about the roots of a quadratic?

A

There are two equal roots

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3
Q

If the discriminant is positive, what does that tell you about the roots of a quadratic?

A

There are two unequal real roots

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4
Q

How do you find the area of a triangle when you know two sides and the angle between them?

A

0.5 x a x b x sin C

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5
Q

What is the sine rule?

A

a/sin A = b/sin B = c/sin C

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6
Q

What is the normal cosine rule?

A

a^2 = b^2 + c^2 - 2bc cos A

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7
Q

What is the cosine rule for finding an angle?

A

Cos A = b^2 + c^2 - a^2
——————-
2bc

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8
Q

How do you prove two triangles are congruent?

A

SSS, AAS, SAS, RHS

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9
Q

How do you prove two triangles are similar?

A

All the angles match up, all three sides are proportional, any two sides are proportional with the same angle between them

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10
Q

What does mutually exclusive mean?

A

They can’t both happen at the same time.

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11
Q

How do you calculate the possibility of either of two mutually exclusive events happening?

A

Add their individual probabilities

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12
Q

What is the universal set? (E)

A

Everything in the rectangle around the venn diagram

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13
Q

What is the union of A and B (U)

A

Everything in the circles

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14
Q

What is the intersection of A and B? (N)

A

Everything that is in both A and B

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15
Q

What is the complement of A?(‘)

A

Everything in the rectangle that isn’t in A

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16
Q

What does a negative index law mean?

A

Reciprocal

17
Q

What does the denominator of a fractional index mean?

A

Which root of it you need to do

18
Q

What does the numerator of a fractional index mean?

A

The power

19
Q

How is LCM calculated?

A

List all prime factors that appear in either number and if a factor appears more than once in one of the numbers, list it that many times. Multiply these together to get the LCM.

20
Q

How is HCF calculated?

A

List all prime factors that appear in both numbers then multiply them together.