Brainscape Maths Flashcards

1
Q

What is the formula for calculating the gradient of a line?

A

Difference in Y divided by Difference in X

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2
Q

What is the formula for the area of a circle?

A

π x (r squared)

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3
Q

What is the quadratic equation?

A

x = -b+ or - Square root of (b squared -4ac)

Then divided by 2a

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4
Q

What is the formula for the area of a trapezium?

A

A = a + b, divided by 2, then multiplied by h

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5
Q

What is 7.6 x 10 to the power of 7 in a normal number?

A

76000000

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6
Q

What is 7.6 x 10 to the power of -6 in a normal number?

A

0.0000076

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7
Q

What is 1260000000 in standard form?

A

1.26 x 10 to the power of 9

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8
Q

What is 0.0000000126 in standard form?

A

1.26 x 10 to the power of -8

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9
Q

When a positive number is multiplied by a positive number, is the answer positive or negative?

A

Positive

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10
Q

When a negative number is multiplied by a negative number, is the answer positive or negative?

A

Positive

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11
Q

When a positive number is multiplied by a negative number, is the answer positive or negative?

A

Negative

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12
Q

what is the reciprocal of 5?

A

1 over 5 (one fifth as a fraction)

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13
Q

What is 6 to the power of a third?

A

1 over 216

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14
Q

What is nth term of this sequence?

0, 7, 14, 21, 28

A

7n - 7

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15
Q

What is the nth term of this sequence?

-3, -1, 1, 3, 5

A

2n - 5

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16
Q

What is the nth term of this sequence?

1, 10, 25, 46, 73

A

3n squared - 2

17
Q

Solve the simultaneous equation:
3x - 5y = 10
4x + 5y = 25

A
x = 5
y = 1
18
Q

Factorise (x squared) , +9x + 18

A

(x + 3) (x + 6)

19
Q

a = 2 b= 5

What is 5 (a cubed) + (6 cubed +b cubed)

A

381

20
Q

What is 16454 to the power of 0?

A

1

21
Q

What is the formula for the volume of a sphere?

A

V = 4\3 (π x (r cubed))

22
Q

What is the formula for the area of any triangle?

A

1\2abSinC

23
Q

What is the sine rule?

A

a\sinA = b/sinB = c\sinC

24
Q

What is the cosine rule?

A

a squared = (b squared) + (c squared) - 2bcCosA

25
Q

What is the formula for the volume of a cone?

A

V = 1\3 π ( r squared) h