Mathematics Y08 2023/24 Flashcards

1
Q

1 Degree

A

Unit of angle measurement. Symbol is °

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2
Q

1.1 Acute

A

Refers to an angle less than 90°

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3
Q

1.2 Right Angle

A

An angle of 90°

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4
Q

1.3 Obtuse

A

An angle more than 90° but less than 180°

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5
Q

1.4 Straight Line

A

An angle of 180°

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6
Q

1.5 Reflex

A

An angle greater than 180° and less than 360°

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7
Q

1.6 Angles around a point

A

Add up to 360°

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8
Q

1.7 Vertically opposite

A

Angles opposite each other when two lines cross – they are equal in size.

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9
Q

1.8 Parallel Lines

A

Two straight lines that never meet and stay the same distance away from each other throughout their entire length

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10
Q

1.9 Alternate

A

A pair of angles on the inner side of each of the parallel line and the transversal, but on opposite sides of the transversal are equal

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11
Q

2 Corresponding

A

The angles in matching corners made when the transversal crosses the two parallel lines corresponding angles are equal size

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12
Q

2.1 Co-Interior

A

Angles that lie between the two parallel lines on the same side of the transversal. The two angles sum to 180°

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13
Q

2.2 Polygon

A

A 2D shape having more than three straight sides

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14
Q

2.3 Regular Polygon

A

A polygon with all equal side lengths and all equal size interior and exterior angles

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15
Q

2.8 Equilateral triangle

A

Has 3 sides

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16
Q

2.9 Square

A

Has 4 sides

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17
Q

3 Pentagon

A

Has 5 sides

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18
Q

3.1 Hexagon

A

Has 6 sides

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19
Q

3.2 Heptagon

A

Has 7 sides

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20
Q

3.3 Octagon

A

Has 8 sides

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21
Q

3.4 Nonagon

A

Has 9 sides

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22
Q

3.5 Decagon

A

Has 10 sides

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23
Q

3.6 Variable

A

Asymbol for a number we don’t know yet. It is usually a letter like x or y

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24
Q

3.7 Constant

A

A number on its own is called aconstant

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25
3.8 Coefficient
A number used to multiply a variable (4x means 4 times x, so 4 is a coefficient)
26
3.9 Term
One part of an algebraic expression which may be a constant, a variable or a product of both
27
4 Expression
A mathematical statement containing a minimum of two terms and at least one operation (addition, subtraction, multiplication, and division)
28
4.1 Identity
A relationship that is true for ALL values
29
4.2 Equation
A mathematical statement containing an equals sign, to show that two expressions are equal
30
4.3 Formulae
A rule or fact written with mathematical symbols. It usually has two or more variables and an equals sign
31
4.4 Simplify
To simplify an expression: to remove brackets, collect like terms and leave an expression in its simplest form
32
4.5 Expand
To multiply each term in the bracket by the term or expression outside the bracket e.g. 2(3x-5)=6x-10
33
4.6 Substitution
The replacement of numbers for letters
34
4.7 Solve
Means find the value of the unknown variable
35
4.8 Perimeter
The distance around the outside of a 2D shape.
36
4.9 Area
The space occupied by a flat 2D shape, measured in unit squares..
37
5 Area of a rectangle
Area = w×h
38
5.1 Area of a triangle
Area=(b×h)/2 Where b is the base and h is the perpendicular height
39
5.2 Area of a parallelogram
Area=b×h Where b is the base and h is the perpendicular height
40
5.3 Area of a trapezium
Area=((a+b))/2×h Where a and b are the parallel sides and h is the perpendicular height
41
5.4 Rounding
To express to a required degree of accuracy
42
5.5 Estimation
Round each number in your calculation to one significant figure and calculate
43
5.6 Decimal Place
A specific number of digits to the right of the decimal place
44
5.7 First Significant Figure
The digit in the highest place value that is not zero e.g. in 234.9 the first significant figure is 2.
45
5.8 Upper Bound
Numbers less than this value would round down to the estimated value
46
5.9 Lower Bound
Smallest value that would round up to the estimated value
47
6 Numerator
The top number of a fraction
48
6.1 Denominator
The bottom number of a fraction
49
6.2 Mixed Number
A whole number and a proper fraction expressed together e.g. 2 3/4
50
6.3 Improper Fraction
A fraction where the numerator is greater than the denominator e.g. 7/3
51
6.4 Equivalent Fractions
Have the same value, even though they may look different e.g. 1/2=
52
6.5 Common Denominator
The denominator of two or more fractions being the same
53
6.6 Reciprocal
The reciprocal of a number is: 1 divided by the number e.g. the reciprocal of 3/4 is 4/3
54
6.7 Adding or subtracting Fractions
Use equivalent fractions to have common denominators. Add or subtract the numerators
55
6.9 Multiplying Fractions
Multiply the numerators, then multiply the denominators.
56
7 Dividing Fractions
Multiply by the reciprocal
57
7.1 0.1
= 0.1 = 1/10
58
7.2 0.25
= 0.25 = 1 / 4
59
7.3 0.5
= 0.5 = 1 / 2
60
7.4 0.75
= 0.75 = 3 / 4
61
7.5 1
1
62
7.6 0.125
= 0.125 = 1 / 8
63
7.7 Integer
A whole number with no fractional part (no decimals)
64
7.8 Inequality
Compares two values, showing if one is less than, greater than, or simply not equal to another value
65
7.9 x < 10 or 10 > x
x is less than 10
66
8 x> 10 or 10< x
x is greater than 10
67
8.1 x≤ 10 or 10 ≥ x
x is less than or equal to 10
68
8.2 x≤ 10 or 10 ≥ x
x is greater than or equal to 10
69
8.3 Representing inequalities on a number line
A line to show the region of numbers that satisfy an inequality. Clear dots mean just < or >, shaded in dots mean the value can also be equal so ≥ or ≤