MATHS REVISION YEAR 8

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  • Created by: ward_ella
  • Created on: 08-04-16 15:17
INSTRUCTIONS
1. You may use a calculator 2. You will need pen and paper 3. The questions are on everything covered in Year 8
1 of 109
WHAT IS 3,600,000 IN STANDARD FORM?
3.6×10(6)
2 of 109
WHAT IS 53 MILLION IN STANDARD FORM?
5.3×10(7)
3 of 109
WHAT IS 7.86×10(9) IN NUMBERS?
7,860,000,000
4 of 109
WHAT IS 0.0057 IN STANDARD FORM?
5.7×10(-3)
5 of 109
WHAT IS 0.00000081 IN STANDARD FORM?
8.1×10(-7)
6 of 109
WHAT IS 7.3×10(-5) IN NUMBERS?
0.000073
7 of 109
(VENN DIAGRAM)
USE THIS TO ANSWER QUESTIONS ON VENN DIAGRAMS
8 of 109
HOW MANY STUDENTS LIKE BIRDS?
n(BIRDS) = 15
9 of 109
HOW MANY STUDENTS DON'T LIKE DOGS?
n(DOGS|) = 21
10 of 109
HOW MANY STUDENTS LIKE CATS AND DOGS BUT DON'T LIKE BIRDS?
1 STUDENT
11 of 109
HOW MANY STUDENTS LIKE 2 ANIMALS?
18 STUDENTS
12 of 109
WHAT IS THE PROBABILITY THAT A STUDENT LIKES DOGS?
p(DOGS) = 19/40
13 of 109
p (ALL THREE ANIMALS) ?
1/20
14 of 109
WHAT DOES n MEAN?
AND
15 of 109
WHAT DOES u MEAN?
OR (ONE, THE OTHER OR BOTH)
16 of 109
WHAT DOES c MEAN?
SUBSET
17 of 109
WHAT DOES ∅ MEAN?
EMPTY SET
18 of 109
10MM IN CM?
1 CM
19 of 109
HOW MANY MM IN A METRE?
1,000MM
20 of 109
G IN A TONNE?
1,000,000G
21 of 109
1000ML IN L?
1L
22 of 109
1CM(3) IN ML?
1ML
23 of 109
100 ML IN CM(3)?
100 CM(3)
24 of 109
INCHES IN A FOOT?
12 INCHES
25 of 109
FEET IN A YARD?
3 FEET
26 of 109
YARDS IN A MILE?
1760 YARDS
27 of 109
OUNCES IN A POUND?
16 OUNCES
28 of 109
POUNDS IN A STONE?
14 POUNDS
29 of 109
POUNDS IN A TON?
2240 POUNDS
30 of 109
PINTS IN A GALLON?
8 PINTS
31 of 109
CM IN AN INCH?
≈2.5 CM
32 of 109
CM IN A FOOT?
≈30CM
33 of 109
INCHES IN A METRE?
≈39 INCHES
34 of 109
MILES IN 5 KM?
≈8 MILES
35 of 109
KM IN 8 MILES?
≈5 MILES
36 of 109
WHICH IS LONGER: 1 MILE OR 1 KM?
1 MILE
37 of 109
TO GO FROM MILES TO KM, WHAT DO YOU DO?
≈ ÷5×8
38 of 109
TO GO FROM KM TO MILES, WHAT DO YOU DO?
≈ ÷8×5
39 of 109
WHAT IS lbs?
POUNDS
40 of 109
HOW MANY POUNDS (lbs) IN A KG?
≈2.2 POUNDS (lbs)
41 of 109
HOW MANY PINTS IN A LITRE?
≈1 3/4 PINTS
42 of 109
HOW MANY LITRES IN A GALLON?
≈4.5 LITRES
43 of 109
WHAT IS AN AVERAGE?
ONE NUMBER THAT SUMMARISES A GROUP OF DATA?
44 of 109
HOW MANY TYPES OF AVERAGE ARE THERE AND WHAT ARE THEY?
3: MEAN, MODE AND MEDIAN
45 of 109
WHAT IS THE MEAN?
THE SUM OF ALL THE NUMBERS DIVIDED BY THE NUMBER OF NUMBERS
46 of 109
WHAT IS THE MEDIAN?
THE MIDDLE NUMBER
47 of 109
WHAT IS THE MODE?
THE MOST COMMON/ POPULAR NUMBER
48 of 109
CALCULATE THE MEAN, MEDIAN AND MODE FROM THE TABLE:
(pic of data)
49 of 109
CALCULATE THE MEAN, MEDIAN AND MODE FROM THE STEM AND LEAF DIAGRAM:
(pic of data)
50 of 109
WHAT IS A FACTOR?
THEY ARE NUMBERS THAT DIVIDE EXACTLY IN TO ONE AND OTHER
51 of 109
WHAT ARE THE FACTORS OF 24?
1, 2, 3, 4, 6, 8, 12, 24
52 of 109
WHAT IS A MULTIPLE?
THEY ARE NUMBERS THAT A CERTAIN VALUE DIVIDES EXACTLY INTO
53 of 109
WHAT ARE THE FIRST 8 MULTIPLES OF 6?
6, 2, 18, 24, 30, 36, 42, 48
54 of 109
WHAT IS A PRIME NUMBER?
IT S A NUMBER WITH EXACTLY 2 FACTORS
55 of 109
WHY IS 1 NOT A PRIME NUMBER
BECAUSE IT ONLY HAS 1 FACTOR
56 of 109
HOW DO YOU TEST IF A NUMBER IS PRIME?
YOU TEST ALL OF THE NUMBERS UP TO IT'S SQUARE ROOT
57 of 109
CREATE A FACTOR TREE OF THESE NUMBERS:
45 | 42 | 60 | 58 | 108 | 54
58 of 109
FIND THE HCF AND LCM OF THESE PAIRS OF NUMBERS:
(54+48) (60+75) (108+180)
59 of 109
USE THE 2 WAY TABLE TO ANSWER THE FOLLOWING QUESTIONS:
(pic of table)
60 of 109
FIND THE PERCENTAGE OF PEOPLE WHO ARE FRENCH GIRLS
24%
61 of 109
FIND THE PERCENTAGE OF GIRLS WHO ARE GERMAN
10%
62 of 109
FIND THE PERCENTAGE OF SPANISH PEOPLE WHO ARE BOYS
40%
63 of 109
HOW MANY TYPES OF TRANSFORMATIONS ARE THERE AND WHAT ARE THEY?
4: REFLECTION, ROTATION, ENLARGEMENT AND TRANSLATION
64 of 109
WHAT DO YOU NEED TO REMEMBER FOR REFLECTION?
A MIRROR LINE IS NEEDED
65 of 109
WHAT DO YOU NEED TO REMEMBER FOR ROTATION?
AN ANGLE IS DEGREES, THE CO-ORDIATES OF THE CENTRE OF ROTATION AND THE DIRECTION (CLOCKWISE OR ANTI-CLOCKWISE) IS NEEDED
66 of 109
WHAT DO YOU NEED TO REMEMBER FOR ENLARGEMENT?
A SCALE FACTOR AND A CENTRE OF ENLARGEMENT IS NEEDED
67 of 109
WHAT DO YOU NEED TO REMEMBER FOR TRANSLATION?
A COLUMN VECTOR IS NEEDED
68 of 109
SOLVE: 3x + 8 = 29
x = 7
69 of 109
SOLVE: 7x - 1 = 9
x = 5 2/7
70 of 109
SOLVE: 2(x - 3) = 15
x = 15
71 of 109
SOLVE: 3( x + 4 ) = 7( x - 6 )
x = 13.5
72 of 109
SOLVE: 11 - 7x = 15-9x
x = 2
73 of 109
SOLVE: (x+2)/4 = (x-1)/5
x = 14
74 of 109
SOLVE: x/7 = (5-x)/4
x = 3 2/11
75 of 109
SOLVE: 6/x-4=15
x = 6/19
76 of 109
SOLVE: 10 - 7x = 3
x = 1
77 of 109
12 - 1/3x = 10
x = 6
78 of 109
WHAT ARE Z ANGLES CALLED?
ALTERNATE ANGLES
79 of 109
WHAT ARE F ANGLES CALLED?
CORRESPONDING ANGLES
80 of 109
WHAT ARE C ANGLES CALLED?
SUPPLEMENTARY ANGLES
81 of 109
WHAT ARE THE 3 KEY POINTS TO REMEMBER WHEN USING BEARINGS?
1. START AT NORTH 2. MEASURE CLOCKWISE 3. GIVE THE ANGLES AS A 3 DIGIT NUMBER
82 of 109
ON A SCALE OF 1:400,000,000, WHAT IS 3CM IN REAL LIFE?
3×400,000,000 = 1,200,000,000
83 of 109
WHAT IS THE FORMULA FOR THE TOTAL OF THE INTERIOR ANGLES?
180(n-2)
84 of 109
WHAT IS THE TOTAL OF THE EXTERIOR ANGLES FOR ANY POLYGONS?
360 DEGREES
85 of 109
THE EXTERIOR ANGLE OF A REGULAR POLYGON IS 40 DEGREES. HOW MANY SIDES DOES IT HAVE?
9 SIDES
86 of 109
WHAT IS THE SIZE OF EACH EXTERIOR ANGLE OF A REGULAR DECAGON?
36 DEGREES
87 of 109
IS THE y AXIS HORIZNTAL OR VERTICAL?
VERTICAL
88 of 109
IS THE x AXIS HORIZONTAL OR VERICAL?
HORIZONTAL
89 of 109
WHICH DIRECTION DOES A y=-x LINE GO IN?
NEGATIVE DIAGONALLY
90 of 109
WHICH DIRECTION DOES A y= LINE GO IN?
HORIZONTALLY
91 of 109
WHICH DIRECTION DOES A x= LINE GO IN?
VERTICALLY
92 of 109
WHICH DIRECTION DOES A y=x LINE GO IN?
POSITIVE DIAGONALLY
93 of 109
WHICH DIRECTION DOES A y=mx+c LINE GO IN?
DIAGONALLY
94 of 109
WHICH DIRECTION DOES A y=x(2) LINE GO IN?
PARABOLA
95 of 109
WHICH DIRECTION DOES A y=x(3) LINE GO IN?
S - SHAPED CURVE
96 of 109
IN y=mx+c WHAT DOES THE M REPRESENT?
THE GRADIENT OF THE LINE
97 of 109
IN y=mx+c WHAT DOES THE C REPRESENT?
THE Y-AXIS INTERCEPT
98 of 109
WHAT IS THE FORMULA FOR THE GRADIENT OF THE LINE (x,y) (x2,y2) ?
(pic of equation)
99 of 109
FIND THE GRADIENT OF THE LINES JOINING THESE POINTS: (1,7) (3,9)
1
100 of 109
FIND THE GRADIENT OF THE LINES JOINING THESE POINTS: (0,7) (8,31)
3
101 of 109
A TRAIN TRAVELS FOR 20 MILES IN 1.5 HOURS. WHAT IS IT'S SPEED?
80MPH
102 of 109
WHAT IS THE EQUATION TO CALCULATE CIRCUMFERENCE?
c= πd
103 of 109
WHEN ANSWERING A QUESTION OF CIRCLES, WHET SHOULD YOU INCLUDE?
1. DIAGRAM 2. FORMULA 3. WORKING OUT 4. ANSWER 5. UNITS
104 of 109
FIND THE CIRCUMFERENCE OF A CIRCLE WITH DIAMETER OF 9CM
28.3CM (3SF)
105 of 109
FIND THE CIRCUMFERENCE OF A CIRCLE WITH RADIUS OF 3.57CM
22.4CM (3SF)
106 of 109
WHAT IS THE EQUATION TO CALCULATE THE AREA OF A CIRCLE?
πr(2)
107 of 109
FIND THE AREA OF A CIRCLE WITH RADIUS OF 3.57CM
40.0CM (3SF)
108 of 109
FIND THE CIRCUMFERENCE OF A CIRCLE WITH DIAMETER OF 9CM
63.6CM (3SF)
109 of 109

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Card 2

Front

WHAT IS 3,600,000 IN STANDARD FORM?

Back

3.6×10(6)

Card 3

Front

WHAT IS 53 MILLION IN STANDARD FORM?

Back

Preview of the front of card 3

Card 4

Front

WHAT IS 7.86×10(9) IN NUMBERS?

Back

Preview of the front of card 4

Card 5

Front

WHAT IS 0.0057 IN STANDARD FORM?

Back

Preview of the front of card 5
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