# 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
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WHAT IS 3,600,000 IN STANDARD FORM?
3.6×10(6)
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WHAT IS 53 MILLION IN STANDARD FORM?
5.3×10(7)
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WHAT IS 7.86×10(9) IN NUMBERS?
7,860,000,000
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WHAT IS 0.0057 IN STANDARD FORM?
5.7×10(-3)
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WHAT IS 0.00000081 IN STANDARD FORM?
8.1×10(-7)
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WHAT IS 7.3×10(-5) IN NUMBERS?
0.000073
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(VENN DIAGRAM)
USE THIS TO ANSWER QUESTIONS ON VENN DIAGRAMS
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HOW MANY STUDENTS LIKE BIRDS?
n(BIRDS) = 15
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HOW MANY STUDENTS DON'T LIKE DOGS?
n(DOGS|) = 21
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HOW MANY STUDENTS LIKE CATS AND DOGS BUT DON'T LIKE BIRDS?
1 STUDENT
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HOW MANY STUDENTS LIKE 2 ANIMALS?
18 STUDENTS
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WHAT IS THE PROBABILITY THAT A STUDENT LIKES DOGS?
p(DOGS) = 19/40
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p (ALL THREE ANIMALS) ?
1/20
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WHAT DOES n MEAN?
AND
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WHAT DOES u MEAN?
OR (ONE, THE OTHER OR BOTH)
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WHAT DOES c MEAN?
SUBSET
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WHAT DOES ∅ MEAN?
EMPTY SET
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10MM IN CM?
1 CM
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HOW MANY MM IN A METRE?
1,000MM
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G IN A TONNE?
1,000,000G
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1000ML IN L?
1L
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1CM(3) IN ML?
1ML
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100 ML IN CM(3)?
100 CM(3)
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INCHES IN A FOOT?
12 INCHES
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FEET IN A YARD?
3 FEET
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YARDS IN A MILE?
1760 YARDS
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OUNCES IN A POUND?
16 OUNCES
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POUNDS IN A STONE?
14 POUNDS
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POUNDS IN A TON?
2240 POUNDS
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PINTS IN A GALLON?
8 PINTS
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CM IN AN INCH?
≈2.5 CM
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CM IN A FOOT?
≈30CM
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INCHES IN A METRE?
≈39 INCHES
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MILES IN 5 KM?
≈8 MILES
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KM IN 8 MILES?
≈5 MILES
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WHICH IS LONGER: 1 MILE OR 1 KM?
1 MILE
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TO GO FROM MILES TO KM, WHAT DO YOU DO?
≈ ÷5×8
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TO GO FROM KM TO MILES, WHAT DO YOU DO?
≈ ÷8×5
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WHAT IS lbs?
POUNDS
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HOW MANY POUNDS (lbs) IN A KG?
≈2.2 POUNDS (lbs)
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HOW MANY PINTS IN A LITRE?
≈1 3/4 PINTS
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HOW MANY LITRES IN A GALLON?
≈4.5 LITRES
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WHAT IS AN AVERAGE?
ONE NUMBER THAT SUMMARISES A GROUP OF DATA?
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HOW MANY TYPES OF AVERAGE ARE THERE AND WHAT ARE THEY?
3: MEAN, MODE AND MEDIAN
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WHAT IS THE MEAN?
THE SUM OF ALL THE NUMBERS DIVIDED BY THE NUMBER OF NUMBERS
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WHAT IS THE MEDIAN?
THE MIDDLE NUMBER
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WHAT IS THE MODE?
THE MOST COMMON/ POPULAR NUMBER
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CALCULATE THE MEAN, MEDIAN AND MODE FROM THE TABLE:
(pic of data)
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CALCULATE THE MEAN, MEDIAN AND MODE FROM THE STEM AND LEAF DIAGRAM:
(pic of data)
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WHAT IS A FACTOR?
THEY ARE NUMBERS THAT DIVIDE EXACTLY IN TO ONE AND OTHER
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WHAT ARE THE FACTORS OF 24?
1, 2, 3, 4, 6, 8, 12, 24
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WHAT IS A MULTIPLE?
THEY ARE NUMBERS THAT A CERTAIN VALUE DIVIDES EXACTLY INTO
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WHAT ARE THE FIRST 8 MULTIPLES OF 6?
6, 2, 18, 24, 30, 36, 42, 48
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WHAT IS A PRIME NUMBER?
IT S A NUMBER WITH EXACTLY 2 FACTORS
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WHY IS 1 NOT A PRIME NUMBER
BECAUSE IT ONLY HAS 1 FACTOR
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HOW DO YOU TEST IF A NUMBER IS PRIME?
YOU TEST ALL OF THE NUMBERS UP TO IT'S SQUARE ROOT
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CREATE A FACTOR TREE OF THESE NUMBERS:
45 | 42 | 60 | 58 | 108 | 54
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FIND THE HCF AND LCM OF THESE PAIRS OF NUMBERS:
(54+48) (60+75) (108+180)
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USE THE 2 WAY TABLE TO ANSWER THE FOLLOWING QUESTIONS:
(pic of table)
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FIND THE PERCENTAGE OF PEOPLE WHO ARE FRENCH GIRLS
24%
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FIND THE PERCENTAGE OF GIRLS WHO ARE GERMAN
10%
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FIND THE PERCENTAGE OF SPANISH PEOPLE WHO ARE BOYS
40%
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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
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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
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WHAT DO YOU NEED TO REMEMBER FOR ENLARGEMENT?
A SCALE FACTOR AND A CENTRE OF ENLARGEMENT IS NEEDED
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WHAT DO YOU NEED TO REMEMBER FOR TRANSLATION?
A COLUMN VECTOR IS NEEDED
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SOLVE: 3x + 8 = 29
x = 7
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SOLVE: 7x - 1 = 9
x = 5 2/7
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SOLVE: 2(x - 3) = 15
x = 15
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SOLVE: 3( x + 4 ) = 7( x - 6 )
x = 13.5
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SOLVE: 11 - 7x = 15-9x
x = 2
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SOLVE: (x+2)/4 = (x-1)/5
x = 14
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SOLVE: x/7 = (5-x)/4
x = 3 2/11
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SOLVE: 6/x-4=15
x = 6/19
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SOLVE: 10 - 7x = 3
x = 1
77 of 109
12 - 1/3x = 10
x = 6
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WHAT ARE Z ANGLES CALLED?
ALTERNATE ANGLES
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WHAT ARE F ANGLES CALLED?
CORRESPONDING ANGLES
80 of 109
WHAT ARE C ANGLES CALLED?
SUPPLEMENTARY ANGLES
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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
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ON A SCALE OF 1:400,000,000, WHAT IS 3CM IN REAL LIFE?
3×400,000,000 = 1,200,000,000
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WHAT IS THE FORMULA FOR THE TOTAL OF THE INTERIOR ANGLES?
180(n-2)
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WHAT IS THE TOTAL OF THE EXTERIOR ANGLES FOR ANY POLYGONS?
360 DEGREES
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THE EXTERIOR ANGLE OF A REGULAR POLYGON IS 40 DEGREES. HOW MANY SIDES DOES IT HAVE?
9 SIDES
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WHAT IS THE SIZE OF EACH EXTERIOR ANGLE OF A REGULAR DECAGON?
36 DEGREES
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IS THE y AXIS HORIZNTAL OR VERTICAL?
VERTICAL
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IS THE x AXIS HORIZONTAL OR VERICAL?
HORIZONTAL
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WHICH DIRECTION DOES A y=-x LINE GO IN?
NEGATIVE DIAGONALLY
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WHICH DIRECTION DOES A y= LINE GO IN?
HORIZONTALLY
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WHICH DIRECTION DOES A x= LINE GO IN?
VERTICALLY
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WHICH DIRECTION DOES A y=x LINE GO IN?
POSITIVE DIAGONALLY
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WHICH DIRECTION DOES A y=mx+c LINE GO IN?
DIAGONALLY
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WHICH DIRECTION DOES A y=x(2) LINE GO IN?
PARABOLA
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WHICH DIRECTION DOES A y=x(3) LINE GO IN?
S - SHAPED CURVE
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IN y=mx+c WHAT DOES THE M REPRESENT?
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IN y=mx+c WHAT DOES THE C REPRESENT?
THE Y-AXIS INTERCEPT
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WHAT IS THE FORMULA FOR THE GRADIENT OF THE LINE (x,y) (x2,y2) ?
(pic of equation)
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FIND THE GRADIENT OF THE LINES JOINING THESE POINTS: (1,7) (3,9)
1
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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
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FIND THE CIRCUMFERENCE OF A CIRCLE WITH DIAMETER OF 9CM
28.3CM (3SF)
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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)
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## Other cards in this set

### Card 2

#### Front

WHAT IS 3,600,000 IN STANDARD FORM?

3.6×10(6)

### Card 3

#### Front

WHAT IS 53 MILLION IN STANDARD FORM?

### Card 4

#### Front

WHAT IS 7.86×10(9) IN NUMBERS?

### Card 5

#### Front

WHAT IS 0.0057 IN STANDARD FORM?