Set 1 Flashcards

1
Q

Expand (2a+5)(a-2)

A

2a² + x - 10

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2
Q

Change the following equation so that B is the subject: a= (2(b-c))/3

A

(3a+2c)/2

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3
Q

Express (root)75 in its simplest form

A

5 (root)3

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4
Q

What is the Quadratic Formula?

A

x=(-b(+ or -)√(b²-4ac))/2a

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5
Q

Solve (x/2)²=100

A

20

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6
Q

What is the gradient of the line y=3x+5?

A

3

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7
Q

What is 4 000 100 in standard form?

A

4.0001 x 10⁶

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8
Q

What would you type into the calculator if: a car costs £500 and increases by 9% over 4 years?

A

500 x 1.09^4

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9
Q

What would you type into the calculator if: a coat costs £55 after a reduction of 40%. What was its original value?

A

55 ÷ 0.6

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10
Q

What is 45,000,000,000,000 in standard form?

A

4.5 x 10^13

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11
Q

What is 0.00000034 in standard form?

A

3.4 x 10^-8

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12
Q

If cos(x) = 2.49, how do you work out x?

A

Cos^-1(2.49)

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13
Q

Solve: 3(x + 5) = 30

A

5

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14
Q

Work out x if y is 4 and z is 3:

x = 2y^2 + (4z)/2

A

38

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15
Q

What is the formula for finding the area of a sphere?

A

(4/3)πr^3

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16
Q

What is the formula for working out the area of a triangle, where two sides and an angle are given?

A

(1/2)ab sinC

17
Q

What is the sine rule?

A

a/SinA = b/SinB = c/SinC

18
Q

What is the cosine rule?

A

a^2 = b^2 + c^2 - 2bcCosA

19
Q

What is the formula for working out the volume of prisms?

A

Area of cross section x length

20
Q

If a triangular prism had a cross section area of 12cm^2, and a length of 8cm, what is its volume?

A

96cm^3

21
Q

What is 49^0?

A

1

22
Q

What is 6^-2?

A

1/36

23
Q

What is 9^1/2?

A

3

24
Q

If a circle’s radius was 5cm, what would you type into the calculator to find the circumference?

A

10π

25
Q

There are two simultaneous equations:
2x + y = 5
3x + y = 7
Find x and y

A

x=2

y=1