gcse facts angles
TRANSCRIPT
CUBE NUMBERS
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1, 8, 27, 64, 125, 216…
1x1x1 , 2x2x2, 3x3x3, 4x4x4, 5x5x5…13 23 33 43, , , , 53,…
PRIME NUMBERS
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2, 3, 5, 7, 11, 13, 17, 19..
Express as a product of primes
24 = 2 x 2 x 2 x 3
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FACTORS
The FACTORS of 24 are1, 2, 3, 4, 6, 8, 12 and 24
1×24 2×12 3×8 4×6
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SIGNIFICANT FIGURESThe first significant figure is the first non-zero figure.
25700 = 30000 (1 significant figure)
0.0225700 = 0.023 (2 significant figures)
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MULTIPLES
The MULTIPLES of 24 are24, 48, 72, 96, 120…
1×24 2×24 3×24 4×24 5×24
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VOLUME of a PRISMArea of cross section × length
length
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ORDER OF OPERATIONSBrackets Indices (powers) Division Multiplication Addition Subtraction
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STANDARD FORM
a × 10nwhere 1 ≤ A < 10 and n is a whole number
34500 = 3.45 × 104
0.00345 = 3.45 × 10-3
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INTERIOR ANGLESThe SUM of the interior angles of a polygon with n sides is
(n-2)×180⁰
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EXTERIOR ANGLESThe SUM of the exterior angles of any polygon
360⁰
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INDICES AND POWERSa × a × a × a = a4
a4 × a3 = a7
(a3)2 = a6
a7 ÷ a3 = a4
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STRAIGHT LINE GRAPHS
y = mx + cgradient y axis intercept
change in xchange in y
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FIBONACCI SEQUENCE
1, 1, 2, 3, 5, 8, 13, 21…
each term is found by adding together the two previous terms
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ARITHMETIC SEQUENCE 4, 7, 10, 13, 16…..( + 3)15, 11, 7, 3, -1 …..(-4)
The same number is added/subtracted to the previous term
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RECIPROCALThe reciprocal of a number is 1 divided by that number.
Reciprocal of 2 = 𝟏𝟏𝟐𝟐
Reciprocal of 0.2 = 𝟏𝟏 ÷ 𝟏𝟏𝟓𝟓
= 5 (0.2 = 𝟏𝟏𝟓𝟓)
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GEOMETRIC SEQUENCE 1, 2, 4, 8, 16…..( × 2)200, 100, 50, 25…..(÷2)
The previous term is multiplied or divided by the same number.
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LENGTH OF A LINE The length of the line joining (x1,y1) and (x2,y2) is
(x2 - x1)2 + (y2 - y1)2
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MID-POINTThe mid point of the line joining (x1,y1) and (x2,y2) is
( )x1+ x2 y1+ y2
2 2,
SCALENE TRIANGLE
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EQUILATERAL TRIANGLE
ISOSCELES TRIANGLE
SQUARE NUMBERS1, 4, 9, 16, 25, 36, 49, 64,81, 100, 121, 144, 169…
1x1 , 2x2, 3x3, 4x4, 5x5,……..12 , 22 , 32, 42, 52,………
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EXACT TRIG VALUES
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0⁰ 30⁰ 45⁰ 60⁰ 90⁰
sin 012
22
32
1
cos 1 32
22
12
0
tan 0 33
1 3
NEXT
ERROR INTERVALS
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h = 60 (rounded to the nearest 10)
55 ≤ h < 65
h = 0.3 (rounded to 1 decimal place)
0.25 ≤ h < 0.35