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
Q

3.8 Coefficient

A

A number used to multiply a variable (4xmeans4timesx, so4is a coefficient)

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26
Q

3.9 Term

A

One part of an algebraic expression which may be a constant, a variable or a product of both

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27
Q

4 Expression

A

A mathematical statement containing a minimum of two terms and at least oneoperation (addition, subtraction, multiplication, and division)

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28
Q

4.1 Identity

A

A relationship that is true for ALL values

29
Q

4.2 Equation

A

A mathematical statement containing an equals sign, to show that two expressions are equal

30
Q

4.3 Formulae

A

A rule or fact written with mathematical symbols. It usually has two or more variables and an equals sign

31
Q

4.4 Simplify

A

To simplify an expression: to remove brackets, collect like terms and leave an expression in its simplest form

32
Q

4.5 Expand

A

To multiply each term in the bracket by the term or expression outside the bracket e.g. 2(3x-5)=6x-10

33
Q

4.6 Substitution

A

The replacement of numbers for letters

34
Q

4.7 Solve

A

Means find the value of the unknown variable

35
Q

4.8 Perimeter

A

The distance around the outside of a 2D shape.

36
Q

4.9 Area

A

The space occupied by a flat 2D shape, measured in unit squares..

37
Q

5 Area of a rectangle

A

Area = w×h

38
Q

5.1 Area of a triangle

A

Area=(b×h)/2 Where b is the base and h is the perpendicular height

39
Q

5.2 Area of a parallelogram

A

Area=b×h Where b is the base and h is the perpendicular height

40
Q

5.3 Area of a trapezium

A

Area=((a+b))/2×h Where a and b are the parallel sides and h is the perpendicular height

41
Q

5.4 Rounding

A

To express to a required degree of accuracy

42
Q

5.5 Estimation

A

Round each number in your calculation to one significant figure and calculate

43
Q

5.6 Decimal Place

A

A specific number of digits to the right of the decimal place

44
Q

5.7 First Significant Figure

A

The digit in the highest place value that is not zero e.g. in 234.9 the first significant figure is 2.

45
Q

5.8 Upper Bound

A

Numbers less than this value would round down to the estimated value

46
Q

5.9 Lower Bound

A

Smallest value that would round up to the estimated value

47
Q

6 Numerator

A

The top number of a fraction

48
Q

6.1 Denominator

A

The bottom number of a fraction

49
Q

6.2 Mixed Number

A

A whole number and a proper fraction expressed together e.g. 2 3/4

50
Q

6.3 Improper Fraction

A

A fraction where the numerator is greater than the denominator e.g. 7/3

51
Q

6.4 Equivalent Fractions

A

Have the same value, even though they may look different e.g. 1/2=

52
Q

6.5 Common Denominator

A

The denominator of two or more fractions being the same

53
Q

6.6 Reciprocal

A

The reciprocal of a number is: 1 divided by the number e.g. the reciprocal of 3/4 is 4/3

54
Q

6.7 Adding or subtracting Fractions

A

Use equivalent fractions to have common denominators. Add or subtract the numerators

55
Q

6.9 Multiplying Fractions

A

Multiply the numerators, then multiply the denominators.

56
Q

7 Dividing Fractions

A

Multiply by the reciprocal

57
Q

7.1 0.1

A

= 0.1 = 1/10

58
Q

7.2 0.25

A

= 0.25 = 1 / 4

59
Q

7.3 0.5

A

= 0.5 = 1 / 2

60
Q

7.4 0.75

A

= 0.75 = 3 / 4

61
Q

7.5 1

A

1

62
Q

7.6 0.125

A

= 0.125 = 1 / 8

63
Q

7.7 Integer

A

A whole numberwith no fractional part (no decimals)

64
Q

7.8 Inequality

A

Compares two values, showing if one is less than, greater than, or simply not equal to another value

65
Q

7.9 x < 10 or 10 > x

A

x is less than 10

66
Q

8 x> 10 or 10< x

A

x is greater than 10

67
Q

8.1 x≤ 10 or 10 ≥ x

A

x is less than or equal to 10

68
Q

8.2 x≤ 10 or 10 ≥ x

A

x is greater than or equal to 10

69
Q

8.3 Representing inequalities on a number line

A

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 ≤