Mod 1 - Mathematics Flashcards

(43 cards)

1
Q

What gender is the value when you multiply or divide two positive numbers, two negative numbers or a positive and a negative number?

A

Two Positive = Positive
Two Negative = Positive
Positive and Negative = Negative

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2
Q

What gender is the value when you have a double sign of ++, –, +-?

A

++ = +
– = +
-+ = -

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3
Q

What should you remember when solving a string of numbers joined by different signs?

A

BODMAS

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4
Q

What does BODMAS stand for?

A

Brackets
Orders
Division
Multiplication
Addition
Subtraction

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5
Q

How you you convert a fraction into a decimal?

A

Push the fraction over to the right so that the numerator is inside the bus stop ready to be divided by the numerator.

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6
Q

What does LCM mean?

A

Lowest Common Multiple

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7
Q

What does HCF mean?

A

Highest Common Factor

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8
Q

What is a Prime Number?

A

A number whose only 2 factors are one and itself

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9
Q

What is Prime Factor Decomposition?

A

Where you take a number and simplify it down until you are left with only prime numbers. You then group those prime numbers and write them as a multiplication. E.g. 2 x 3 x 5

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10
Q

What is an Improper Fraction?

A

An improper fraction is ‘top heavy’. E.g. 5/3

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11
Q

What is a Mixed Number fraction?

A

A Mixed Number fraction is an improper fraction simplified down to a whole number and the remaining fraction. E.g. 5/3 becomes 1 2/3.

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12
Q

What do you need to remember when adding or subtracting fractions?

A

When adding or subtracting fractions always remember to find the LCM of the denominator.

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13
Q

What do you need to remember when dividing fractions?

A

When dividing fractions, remember KCF. Keep, Change, Flip.

Keep the first fraction
Change the divide symbol to a times
Flip the final fraction

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14
Q

How do you multiply fractions?

A

To multiply fractions, simply times the two numerators together, the two denominators together and then simplify.

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15
Q

What is an Inch in cm?

A

An Inch is 2.54cm

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16
Q

What is a Foot in Inch and cm?

A

A foot is 12 inches or 30.48cm

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17
Q

What is 3 feet in meters?

A

3 feet is 1 meter

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18
Q

What is an inch squared in cm?

A

An inch squared is 6.45cm^2

19
Q

What is a US Gal in meters?

A

A US Gal is 3.78 litres

20
Q

What is a Kilogram in pounds (lbs)?

A

A kilogram is 2.2046 lbs

21
Q

What is Direct Proportion?

A

Direct Proportion is where the two values increase or decrease together.

22
Q

What is Inverse Proportion?

A

Inverse Proportion is where the two values increase or decrease opposite to each other.

23
Q

What is the Mean and how do you find it?

A

The mean is the average.

Mean = Sum of Values / Number of Values

24
Q

What is the mode and how to find it?

A

The mode is the most frequent occurring value.

To find it simply see which value repeats itself the most.

25
What is the median?
The middle number of the values given to you when listed in an order.
26
What's the equation for the area of a trapezium?
(a+b)/2 x h
27
What is the equation for the area of a circle?
Pi x r^2
28
What the equation of the area for a triangle?
(b x h)/2
29
What's the equation for the arc length of a circle?
L = θ/360 x 2Pi r
30
What's the equation for the circumference of a circle?
2 x Pi x r
31
What's the equation for the volume of a Cylinder?
Pi x r^2 x L
32
What's the equation for the total surface area of a Cylinder?
2 x Pi x r (r + h)
33
What's the equation for the volume of a Cube/ Cuboid?
L x W x H
34
What's the equation for the total surface area of a Cube/ Cuboid?
2 x (LW + LH + WH)
35
What does something to the power of a half mean?
The square root of that something
36
What does something to the power of a third mean?
The cubed root of that something
37
What is the addition law of Indices?
When multiplying things of the same base, add the powers.
38
What is the division law of indices?
When dividing things of the same base, subtract the powers.
39
What is the value of x to the power of 1?
x is the value of x^1 as anything to the power of 1 is itself.
40
What is the value of x to the power of 0?
1 is the value of x as anything to the power of 0 is itself.
41
What do you do if you have x to the power of 2 inside brackets and the brackets to the power of 3? (x^2)^3?
When you have powers multiplied by powers, simply times the power together. x becomes x^6
42
What should you do when dividing algebraic expressions?
Rewrite as a fraction and cancel down until you can't no more. Leave answer as a fraction.
43
1 lbs in kg
0.454kg