1. Algebra
Number
Data
Shape

2. Algebra Home Brackets Two Brackets Solving Equations
Collecting like terms
Simplifying
2 sided equations
Simultaneous equations
Solving simultaneous equations graphically
Factorising
Curved Graphs
Sequences
The Nth term
Quadratic Sequences
Substituting
Formulae
Quadratic Equation
Factorising Quadratics
Algebraic Fractions
Trial and Improvement
Inequalities
Laws of Indices
Parallel and Perpendicular lines
Finding the Gradient
Writing Expressions
y=m x + c
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3. Shape Home Area of Circles Area of triangles
Circumference
Area of triangles
Circle theory Double angle
Circle theory triangles
Circle theory angles connected by a chord
Circle theory cyclic quads
Circle theory tangents
Perimeter
Sin and Cos
Sin, cos and tan
Sin, cos and tan 2
Sine rule
Angles in a triangle
Cosine rule
Sine and cosine rules
Trig- missing angles
Angles on a straight line and around a point
Angles on parallel lines
Angles in Polygons
Interior and Exterior angles
Polygons- finding sides
Construction
Worded Pythagoras
ago
Reflection 1
Reflection 2
Translation
Rotation
3D Pythagoras
Pythagoras
Plans and Elevations
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4. Data Home Mean Mean, Mode, Median and Range Median and range
Mean from tables
Mean from group tables
Tree Diagrams
Sampling
Mutually Exclusive Events
Listing Outcomes
Histograms
Cumulative frequency
Reading Pie Charts
Reading Pie Charts 2
Drawing Pie Charts 1
Drawing Pie Charts 2
Scatter Graphs
Box and Whisker plots
Sample Space Diagrams
The Probability Scale
Probability as Fractions
Stem and Leaf Diagrams
Relative Frequency
Reading Bar Charts
Drawing Bar Charts
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5. Number Home Adding, subtracting decimals BIDMAS
Adding and subtracting fractions
Direct Proportion
Factors
Factor Trees
Directed Numbers
Directed Numbers 2
Equivalent Fractions
FDP
Finding %
Ratio
HCF and LCM
Indirect Proportion
Limits
Multiplying and dividing decimals
Multiplying and Dividing Fractions
Multiples
Ordering Decimals
Ordering Fractions
Percentage Increase
Reverse Percentage
Rounding dp
Rounding sig fig
Standard form
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6. Adding and Subtracting Decimals
ANSWERS
0.5
1.2
0.8
1.3
1.5
1.47
1.28
1.66
0.97
1.68
31.44
70.81
39.46
34.15
50.8
0.45
0.54
0.49
0.71
0.7
2.94
39.02
67.25
77.03
54.11
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7. Adding and Subtracting Fractions
7/8
8/12
7/9
7/10
2/3
11/12
8/15
16/12 or 1 ¼
11/24
1 7/12
1 5/56
29/30
29/52
1 1/10
5/8
5/12
1/3
2/5
1/2
7/20
8/21
23/36
9/22
71/126
Adding and Subtracting Fractions
Home

8. Adding and Subtracting Decimals
Answers
0.5
1.2
0.8
1.3
1.5
1.47
1.28
1.66
0.97
1.68
31.44
70.81
39.46
34.15
50.8
0.45
0.54
0.49
0.71
0.7
2.94
39.02
67.25
77.03
54.11
Adding and Subtracting Decimals
Home

9. Direct Proportion Answers Home A=2B V=4M T=5S Y=17X H=12M N=2P C=1.5B
z=11y
y=7
z=1.1
N=3L
L=1.2
N=1.5
If A is directly proportional to B, write an equation in the form A=kB linking the two variables if when A= 8 B= 4.
All of the variables below are directly proportional, write an equation linking them:
V= 12 when M =4
T= 5 when S=1
Y= 34 when x=2
H=48 when M=4
P= 5 when N=10
B is directly proportional to C, when B is 18 C is 27.
Write an equation linking B and C
Find B when C= 66
Find C when B = 30
Z is directly proportional to Y, when Z =55, Y=5
Write an equation linking Z and Y
Find Y when Z = 77
Find Z when Y=0.1
N is directly proportional to L, when N=1.8 L =0.6
Write an equation linking N and L
Find L when N= 3.2
Find N when L=0.5
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10. Bidmas Home C) (3 x 3 – 4 ) x (2 + 2) 2 x (13 – 4) – (23 ÷ 23)24 3 2 20 10 1 26 22 19 9 5 25 17
Bidmas A)
(3 + 3 ) x 4
4 x 2 – 5
(5 + 7) ÷ 6
5 x 3 + 5
(9 – 4 ) + 5
1 + 1 – 1
2 x (15 – 2)
(5 x 4 ) + 2
(8 + 2 ) ÷ 10
(21 x 1 ) – 2 B)
(1 + 14) – (5 x 3 )
( ) ÷ (4 x 2)
(1 + 2 ) x (6 – 3)
(2 x 6 ) – (14 ÷ 2)
(7 x 2) ÷ ( 20 – 6)
(3 x 10) – (2 x 2)
(9 x 5) – ( 2 x 10) C)
(3 x 3 – 4 ) x (2 + 2)
2 x (13 – 4) – (23 ÷ 23)
3 x (1 + 4) – (5 x 2)
4 x (3 + 2) – ( 24 – 5)
7 x ( 4 ÷ 2 ) ÷ ( 3 x 5 -1 )
((9 + 7 x 3 ) ÷ 10) – 1
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11. Factors and HCF Home ANSWERS
1,2,4,5,10,20
1,2,3,4,6,8,12,24
1,3,9,27
1,2,4,8,16,32
1,2,4,5,8,10,20,40
1,2,5,10,25,50
1,2,4,6,7,8,14,28,56
1,2,3,4,5,6,10,12,20,24,30,40,60,120
1,2,4,5,10,20,40,50,100,200
2,3,5,7,11,13,17,19,23,29 (10 of them) 18 5 6 27 15 90 96 39
Find all the factors of the following numbers: 20 24 27 32 40 50 56
120
200
2 only has 2 factors (1 and 2), how many numbers can you find between 1 and 30 which have exactly 2 factors? (these are called prime numbers)
Find the highest common factors of the following pairs of numbers:
18 and 54
25 and 45
12 and 18
27 and 108
30 and 75
Find the HCF of these pairs of numbers:
90 and 450
96 and 480
39 and 195
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12. Factor Trees Home Answers 22x5 3 x 23 3 x 24 2 x 32 x 5 34 2 x 52
Draw factor trees for the following numbers: 20 24 48 90 81 50 75
120
200
1800
2. Using your factor trees from question 1, write the numbers as products of their prime factors .
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13. Directed Numbers Home ANSWERS -13 12 -5 10 14 -1 -11 7 -7 -17 -24 -23-9 -8 8
-12
-14
1) 17
2) -5
3) 1
4) 8
5) -10
6) 23
7) 26
8) 36
9) 17
10) 16
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14. Directed Numbers 2 285 23 -28 66 Home
I am £250 into my overdraft () but then I get paid £535, how much will I have in my bank account?
The temperature at the North Pole is -17°C; luckily the temperature in my living room is 40°C warmer than that, what is the temperature in my living room?
I have £32 and each month for 4 months I have to pay £15 to my mobile phone, if I don’t put any money into my account, how far will I be into my overdraft?
I jump out of a plane 125m above the ocean, I travelled 191m before I stop, how far am I from the surface of the water?
I am playing air hockey with my friend, because I am amazing I agree start on -9 points, we play first to 14, how many points do I need to score?
285 23
-28 66
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15. Equivalent Fractions 2. Home 4 15 12 20 60 8 26 32 120 64 154 125 400
615
9720
Equivalent Fractions
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16. Ratio
ANSWERS
2:3
7:8
2:5
4:5
3:5
7:12
5:8:16
3:7:12
2 and 8
6 and 24
9 and 36
8 and 12
12 and 18
22 and 33
9 and 21
18 and 42
27 and 63
10 and 20 and 30
12 and 24 and 36
50 and 100 and 150
There are 10 girls and 15 boys in a class, what is the ratio of girls to boys in its simplest form?
There are 14 cats and 16 dogs in an animal shelter, what is the ratio of cats to dogs in its simplest form?
There 22 caramels and 55 fudges in a bag of sweets, what is the ratio of caramels to fudges in its simplest form?
Simplify these ratio to their simplest forms:
48:60
45:75
63:108
25:40:80
24:56:96
120:180:600
320:400:440
Archie and Charlie share their Thomas the tank engine toys in the ratio 1:4, how many do they each get if they have:
10 toys b.30 toys c.45 toys
Tom and Jerry share sweets in the ratio 2:3, how many do they each get if they share:
20 sweets b.30 sweets c.55 sweets
Sue and Linda share some money in the ratio 3:7, how many do they each get if they share:
£30 b.£60 c.£90
Mike, Dave and Henry share some little bits of blue tack in the ratio 1:2:3, how many do they each get if they share:
60 pieces b.72 pieces c.300 pieces
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17. Finding Percentages Home ANSWERS
divide by 10
divide by 2
divide by 4
half the answer
double
multiply by 9 or subtract 10% from original quantity
half 50% 75
200 33 63
154
292.5
35.2
78.72
601.6
41.6
59.4
50.88
Some percentages I can find easily by doing a single sum, what single sums can I do to find:
10% b. 50% c.25%
If I know 10% how can I find:
5% b. 1% c. 20 % d. 90%
If I know 50% how can I find:
5% b. 25%
Find:
30% of 250 b. 40% of c. 15% of d. 75% of 84
35% of 440 b. 65% of c. 16% of d. 82% of 96
94% of 640 b. 8% of c. 27% of d. 53% of 96
Compare you methods for the questions above with a partner, where they the same ?
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18. Equivalent Fractions Home Answers 2. 4 15 12 20 60 8 26 32 120 64 154
125
400
615
9720
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19. HCF and LCM Home Find the Highest Common Factor of these numbers:
Find the Lowest Common Multiple of these numbers
6 and 7
4 and 6
5 and 8
10 and 4
16 and 5
14 and 21
2.2 and 5
0.4 and 7 6 5 8 12 10 14 13 19 42 12 40 20 80 55 14
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20. Indirect Proportion Home
k=30
A x B=30
A=20
A=2
B=30
B=-10
k=84
A x B=84
A=21
A=14
B=8.4
B=42
k=-40
A x B=-40
A=5
A=-4
B=40
B=80
k=12
A x B=12
B=-6
B=0.12
If A is indirectly proportional to B and when A= 5 B= 6 :
Find k
Write an equation linking A and B
Find A when:
B=3
B=15
Find B when:
A=1
A=-3
If A is indirectly proportional to B and when A= 7 B= 12 :
B=4
B=6
A=10
A=2
If A is indirectly proportional to B and when A= B= 10 :
B=-8
B=10
A=-1
A=-0.5
4. If A is indirectly proportional to B and when A= B= :
Find k
Write an equation linking A and B
Find A when:
B=6
B= -3
Find B when:
A= -2
A= 100
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21. Fractions, Decimals and Percentages
75%
10%
20%
35%
42%
0.7
0.25
0.3
0.15
0.05
60%
70% 8%
27%
80%
33/100
51/100
4/5
1/5
0.4
0.9
0.74
0.03
7/10
3/5
11/50
7/20
21/50
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22. Limits
These numbers have been rounded to the nearest 10, write down the largest and smallest values they could be: 50 80
110
These numbers have been rounded to the nearest whole number, write down the upper and lower limits: 3 17 23
100 -3
These lengths have been rounded to the nearest 10th of a cm, write the upper and lower limits:
12.5cm
21.7cm
35.8cm
52.1cm
80.4cm
4) A field is 100m wide and 120m long, both lengths have been rounded to the nearest metre.
a) Find the perimeter and area of the field if these measurements are accurate
b) Find the largest and smallest possible perimeter
c) Find the largest and smallest possible area.
5) A rectangle has it’s area rounded to the nearest whole number, it becomes 40cm2. One side of the rectangle is exactly 10cm; find the maximum and minimum lengths the other length could have.
6) Two lengths of wood are stuck together and their combined length is rounded to the nearest mm and it is 14.9cm, one length is rounded to the nearest mm and is 7.1cm. Find the minimum and maximum length of the other length.
Answers
45 and
75 and
105 and
2.5 and
16.5 and
22.5 and
99.5 and
and -2.5
12.45 and 12.55
21.65 and 21.75
35.75 and 38.5
52.05 and 52.15
80.35 and 80.45
p=44om and area= 12000m2
largest= 442m smallest=438m
largest= m2 smallest= m2
smallest- 3.95cm largest- 4.05cm
6. largest- 7.9cm smallest- 7.7cm
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23. Multiples Home C. List 3 numbers which are in: 3 and 4 times tables
A. List the first 5 multiples of: 5 7 12 14 19
B. What is the:
9th multiple of 8
7th multiple of 6
12th multiple of 12
11th multiple of 10
13th multiple of 5
5th multiple of 13
5,10,15,20,25
12,24, 36, 48, 60
14,28,42,56,70
19,38,57,76,95 72 42
144
110 65
12,24,36
15,30,45
20,40,60
18,36,54
60,120,180 30 56 8 18 60 80
210
D. What is the lowest common multiple of:
5 and 6
7 and 8
4 and 8
9 and 6
10 and 6
E. What is the lowest common multiple of:
13 and 5
15 and 12
16 and 10
14 and 21
21 and 70
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24. Multiplying and dividing fractions
Answers
3/32
5/48
1/9
4/25
7/16
65/18 11 8 1
1/2
4/24 or 1/6
20/12 or 5/3
24/42 or 4/7
39/30 or 13/10
22/18 or 11/9
32/36 or 8/9
63/28
50/16 or 25/8
Home

25. Multiplying and dividing decimals
Answers
5.6
3.5
0.6
2.4
0.9
0.1
0.28
0.08
0.81
0.06
0.57
0.8
0.75
0.34
0.91
0.594
5.044
6.059
0.506
6.15 1.
0.4 2. 8 9 7 4 3. 11
200 21 6
1100
Multiplying
Dividing 1
3.2 ÷ 4
4.8 ÷ 8
7.2 ÷ 9
2.4 ÷ 6
1.8 ÷ 3 2
5.6 ÷ 0.7
6.3 ÷ 0.7
2.7 ÷ 0.3
4.9 ÷ 0.7
2.8 ÷ 0.7 3
1.65 ÷ 0.15
24 ÷ 0.12
27.3 ÷ 1.3
0.03 ÷ 0.005
0.99 ÷ 1 a)
0.8 x 7 = b)
0.5 c)
0.1 6 d)
0.6 4 e)
0.3 3 2
0.2
0.4
0.7
0.9
1.9
1.6
1.7
1.3
5.4
0.11
5.2
0.97
8.3
0.73
4.6
8.2
0.75
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26. Ordering Fractions Home ANSWERS 1/4 3/8 ½ and 4/8 3/4
1/3 5/12 1/1 4/6 3/4
1/4 1/2 2/3 5/6 7/8
1/4 2/5 1/2 6/10 3/4
1/3 4/9 1/2 2/3 5/6
2/6 1/4 5/12 2/3 7/9
2/7 2/4 5/8 11/14 3/2
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27. Ordering Decimals Home
<
>
For each pair of numbers say which is bigger by adding > or <.
Try these:
3. These are trickier:
4. Put these decimals in ascending order (smallest to biggest): a b c d e
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28. Percentage Increase/Decrease
ANSWERS
319.5
434.52
177.5
636.16
727.04
134.40
157.20
186
195
239.88
73.50
77.91
91.49
162
220.32 90
322.56
368.64
97.20
81.60
25.20
31.80
69.60
333.91
Explain how you would use a calculator to increase an amount by a given percent.
Increase the following amounts by 42%
£225
£306
£125
£448
£512
A TV costs £120, how much will it cost if its price is increased by:
12%
31%
55%
62.5%
99.9%
Simon puts £70 in a bank, each year the money in his bank increase by 5.5%, how much does he have in:
1 year
2 years
5 years?
5. Explain how you would use a calculator to decrease an amount by a given percent.
6. Decrease the following amounts by 28%
£225
£306
£125
£448
£512
7. A TV costs £120, how much will it cost if its price is decreased by:
19%
32%
79%
73.5%
42%
8. A car bought for £6, 500 depreciates in value by 12.5% each year, how much will it be worth after:
1 year
2 years
5 years?
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29. Rounding to Significant Figures
Main
When you are rounding to decimal places you start counting after the decimal point, but with significant figures you start counting at the first non zero number
4.7
0.058
0.19
540
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30. Rounding to Decimal Places
ANSWERS
18.43
26.37
2.30
219.15
3.67
Round the following numbers to a) 1 decimal place b) 2 decimals places c) 3 decimal places a) b) c) d) e) f) g) h) i) j)
Work out the following on a calculator and give the answer to 2 decimal places;
3.104 x 5.938
2.99 x 8.82
7.1537÷ 3.111
14.772
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31. Reverse Percentages Home
Answers
1.15
1.25
1.04
1.005
1.135 45 65 50 80
240
0.85
0.75
0.96
0.995
0.865
110 60 15
150
3450
What would you multiply an amount by to increase it by:
15%
25% 4%
0.5%
13.5%
Find the original prices of these prices that have been increased by the given percentage:
Cost= £49.5 after 10% increase
Cost= £74.75 after 15% increase
Cost= £61 after 22% increase
Cost= £104 after 30% increase
Cost= £120 after 50% increase
I have £252 in my bank account; this is due to me earning 5% interest on what I originally had put in. How much money did I have originally in my bank account?
4. What would you multiply an amount by to decrease it by:
15%
25% 4%
0.5%
13.5%
5. Find the original prices of these items that have been decreased by the given percentage:
Cost= £72 after 10% decrease
Cost= £93.5 after 15% decrease
Cost= £39 after 35% decrease
Cost= £4 9fter 40% decrease
Cost= £67.50 after 55% decrease
6. A Cars value has dropped by 11.5% it is now worth £ , what was it worth when it was new?
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32. Standard Form Home Answers a,e,f,g 474000000 190 8620000 64000 35000
6000
8.3 x 103
4.4 x 105
1.35 x 107
9.87 x 107
3.4 x 10-5
9.301 x 10-5
4.3 x 10-4
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33. Two Brackets Home Answers x2+12x+35 x2+10x + 21 x2 + 5x + 6

34. Home Find x Answers 2x + 4 = 3x + 1 1. 10x + 8 = 4x + 38 a)x=3
Solve these equations
2(3x+4)= 2(4x-1)
2(3x-4)= 4(x + 3)
4(3x + 2) = 8(2x -1)
2(4x+2) = 4(3x-1)
4(3x+2)=10(x+4)
Solve these equations by multiplying out brackets and simplifying:
3(x +2) + 5(x-1)= 25
2(2x + 1) + 6(x + 3)= 70
4(3x + 3) – (x + 5)= 92
Answers 1.
a)x=3
b)x=5
c)x=7
d)x=8
e)x=0.5 2.
a)x=5
b)x=10
c)x=3
d)x=2
e)x=11 3.
c)x=9
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35. Algebraic Fractions Home Answers Answers 3. 1. a)x=12 a)x=7 b)x=5
c)x=11 4.
x=10
x=5
x=2
x=7
x=6
x=4
Answers 1.
a)x=7
b)x=42
c)x=2
d)x=12 2.
a)x=10
b)x=3
c)x=28
d)x=45 3.
a)x=5
b)x=11
c)x=4
d) x=9
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36. Brackets
ANSWERS
2X + 10
12X + 42
32X – 16
15X – 45
8 – 4X
24 – 32X
X2 + 3X
2X2 + 9X
4X2 – 7X
18X-10X2
3X3 + 5X
10X3 + 12X
15X4-35X
7X - 12
17X + 9
24X - 15
13X + 4
28-17X
Remove the brackets from these expression by multiplying them out:
2(x +5)
6(2x +7)
8(4x -2)
5(3x -9)
2(4 -2x)
8(3 – 4x)
x(x + 3)
x(2x +9)
x(4x -7)
2x(9 -5x)
Multiply out the brackets:
x(3x2 + 5)
2x(5x2 + 6)
5x(3x3 - 7)
Multiply out the brackets and simplify:
3(x + 4) + 4(x-6)
7(x + 7) + 5(2x-8)
3(4x + 1) + 2(6x-9)
5(5x - 4) - 4(3x-6)
2(13 -4x) - 9(x+ 6)
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37. Collecting like terms Answers Home Simplify 10a + 4a 2b + 7b
3a + a + 4a
11b – 4b
14b – 5b + 4b
3a – 6a + a
10a + 4b –a +5b
8a + 5a +5b – 3b
12b – 7a + 3b +a
2b – 8b –a + 9a
-13b + 4a -5b -4a
11a + 8b + 2c + 6a + 3b -2c
6b + 4b –a +6c + 5a – 4c
7c + 4b- 3b + a + 10c – 5a
10a + 4b + 7a + 10b – 17a – 14b
5b + 4c + 18c – 22a + z
Answers
14a 9b 8a 7b
13b
-2a
9a + 9b
13a + 2b
15b – 6a
8a – 6b
-18b
17a + 11b
4a + 10b + 2c
-4a + b + 17c
5b + 22c -22a + z
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38. Curved Graphs Home 9 5 5 9 17 -2,9 -1,5 0,5 1,9 2,17 13 6 1 -2 -3
-2,13
-1,6
0,1
1,-2
2,-3 -4 -8 -6 2 16
-2,-4
-1,-8
0,-6
1,2
2,16
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39. Factorising Home ANSWERS A) Factorise the following completely:
5B(3B+4)
7B(2B+7)
9B(B+8)
11B(3B-4)
2C(C2+4)
5C(C3+8)
3A(3B+2)
4B(4A-1)
6AB(5A+4)
5B2(2A-3)
4AB(3C+5)
14ABC(2A+1)
4(AB-2A+4B)
3(5A-6B-7AB)
3B(3B2+6C+10A)
AB(C-10+1)
A) Factorise the following completely:
10A + 15
24A + 36
16A - 64
15B2 + 20B
14B2 + 49B
9B2 + 72B
33B2 - 44B
2C3 + 8C
5C4 + 40C
10C3 + 8C
B) Factorise the following completely:
9AB + 6A
16AB – 4B
30A2B + 24AB
10AB2 – 15B2
12ABC + 20 AB
28A2BC + 14ABC
4AB – 8A + 16B
15A – 18B – 21AB
9B3 + 18BC + 30AB
ABC-10AB +AB
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40. Finding the gradient Answers Home 2 4 1 5 3 -8 -6 -1 -10 0.5 -0.5 0.75-1
-10
0.5
-0.5
0.75
0.25
0.1
1) Find the gradient between the points:
(3,5) and (4,7)
(5,9) and (7,17)
(4,6) and (5,7)
(1,4) and (4,19)
(0,11) and (4,23)
2) Find the gradient between these points:
(2,5) and (3,-3)
(2,8) and (3,2)
(4,8) and (8,4)
(8,15) and (6,33)
(7,12) and (4,42)
(4,8) and (3,14)
Find the gradient between these points:
(3,5) and (4,5.5)
(5,9) and (7,8)
(4,6) and (5,6.75)
(1,4) and (4,4.75
(0,11) and (4,11.4)
Home

41. Formulae
Answers 50
144
6.5 5 3
D=V/M 4 6 18 13 88
P=Z2/R 2 27 10
A) Isaac Newton’s second law of motion states F=ma (force= mass x acceleration)
Find F if:
M=10 and a=5
M=12 and a=12
M=0.5 and a=11
Find a if:
F=100 and M=20
Find m if:
F=36 and a=12
B) Density equal volume divided by mass
Write a formula for density
Find D if
M=10 and v= 40
M=12 and v=72
M=5 and v=90
Find M if:
D=4 and v=52
Find v if:
D=8 and m=11
C) Electrical power (p) is equal to voltage (V) squared divided by resistance (r)
Write a formula for power
Find p if:
V= 4 and r=8
V=9 and r=3
Find r if:
P=16 and v=8
P=20 and r=5
Home

42. Inequalities Home ANSWERS x>6 x>9 x≥11 x≥2 x<12 x≤20 x<20

43. Laws of indices Home Simplify: 4. Simplify: A2 x A A0 A4 x A2 B0
ANSWERS A3 A6
A10
3A12
20A3 A9
A14
A16
3A6
3A2 1 A8
A12
4A18
27A12
1/A4
1/A6
1/A2
2/A4
9/A3
5/A3
6A6
4A16 4
1/A12
Simplify:
A2 x A
A4 x A2
A8 x A2
3A9 x A3
4A2 x 5A1
A10 ÷ A
A21 ÷ A7
A20 ÷ A4
9A12÷ 3A6
12A6 ÷ 4A4
(A2)4
(A3)3
(A2)6
(2A9)2
(3A4)3
4. Simplify: A0 B0
990
520
0.0610
5. Simplify:
A-4
A-6
A-2
2A-4
9A-3
6. Simplify fully:
25A4 ÷ 5A7
3A9 x 2A-3
(A2)6 x (2A2)2
(2A3)8 ÷ (2A4)6
(A2)-6
Home

44. Parallel and Perpendicular lines
ANSWERS
y=3x-7
y=5x-10
y=2x+16
y=131-9x
y=-3x-15
ANSWERS
y=-1/2x+9
y=-1/4x+17.75
y=2x-1
y=(2/3)x-2.67
Home

45. Find the Nth term of these sequences
Answers
3n2+2n +1
4n2+3n -4
n2 + 4n + 2
2n2 +5n + 1
4n2 -2n
6, 17, 34, 57, 86
3, 18, 41, 72, 111
7,14,23, 34, 47
8, 19, 34, 53, 76
2, 12, 30, 56, 90
Home

46. The quadratic equation
ANSWERS
a=6 b=1 c=-10
a=1 b=-4 c=-5
a=2 b=-10 c=7
a=0.5 b=8 c=2
x=0.6 and -2.6
x=1.2 and -1.4
x=2.8 and -1.8
x=4.2 and 0.8
x=-0.3 and -15.7
x=1.1 and -5.6
x=1.2 and -2
x=4.6 and -4.6
x=10.2 and -0.2
x=2 and -0.3
For each of these equations, what is a, b and c? (the first one has been done for you)
2x2+4x -3 =0 a=2 b=4 c=-3
6x2+x - 10=0
x2-4x -5=0
2x2-10x + 7=0
0.5x2+8x + 2=0
Use your answers from question one to find the possible values for x.
Rearrange these equations to the form ax2 + bx + c =0, then solve with the quadratic equation:
2x2+ 9x -2 =10
4x + 5x2 - 10=2
x2 + 5x -3=x
2x2-10x - 2= x2
3x x =8 + 7x
Home

47. Factorising Quadratics
Factorise and solve:
X2 + 8X + 12= 0
X2 + 7X + 10= 0
X2 + 13X + 12= 0
X2 + 17X + 70=0
X2 + X – 20=0
X2 - 4X- 12=0
X2 - 12X + 20=0
Rearrange, factorise and solve
X2 + 21X + 32=12
X2 + 8X -5 = 15
X2 + 6X + 23 = 5 – 3X
Solve
3X2 + 21X + 51=15
2X =-6
4X2 -8X -4= x
ANSWERS
-6 and -2
-5 and -2
-12 and -1
-7 and -10
-5 and 4
6 and -2
10 and 2
-20 and -1
-10 and 2
-6 and -3
-4 and -3
-8 and -1
5 and -2
Home

48. Sequences Home Answers 18,21,24 27,32,37 32,36,40
68,79,90
40,38,36
add 3
add 5
add 4
add 11
take away 2
2.3,2.7,3.1 (add 0.4)
12.9,3.2,3.5 (add 0.3)
37.5,37,36.5 (take away 0.5)
2.9,2.3,1.7 (take away 0.6)
16.9,18,19.1 (add 1.1)
-20,-25,-30 (take away 5)
-17,-21,-24 (take away 4 )
0,4,8 (add 4)
-17.5,-15,-12.5 (add 2.5)
32,64,128 (double the last number)
21,28,36 (add on the next number 1 then 2 then )
31,43,57 (add on the next even number 2,4,8...
Copy down the following sequences and add the next three terms:
For each of the questions in question what is rule to find the next term in the sequence. (This is called the term to term rule)
Copy the following sequences, write the term to term rule and find the next 3 terms.
Home

49. The Nth term Home Answers 3n+1 5n-3 6n-2 11n+2 8n-7 4,7,10,13,16
6,10,14,18,22
10,15,20,25,30
9,15,21,27,33
7,17,27,37,47 32 88
704 30 94
798 47
135
1103 13 21
109
1) Find the nth term of the following sequences:
2) Take the following nth terms and find the first 5 terms
3n + 1
4n +2
5n + 5
4n – 1
6n + 3
10n -3
3) If the nth term is 7n + 4 what is
The 4th term b. The 12th term c. The 100th term
4) If the nth term is 8n - 2 what is
5) If the nth term is 11n + 3 what is
6) If the nth term is n + 9 what is
Home

50. Simplifying Expressions
Answers
20a4
18a7
63a8
20a2b4
18a2b7
63a2b8
8a2b2c5
60a2b2c14
36a8b8c
12a5b4c4 4a
3a4
7a2
6a3b3
9a4/b5
10a2
10ab2
ab6/10
ab2
119a3b8
Home

51. Simultaneous Equations
Find a and b for each pair of simultaneous equations:
5a + 2b= 14 6a + 2b= 16
7a + 3b= 27 6a + 3b= 24
10a - 2b= 30 3a - 2b= 2
9a - 6b= 42 6a - 6b= 18
4a + 7b= 27 4a - 7b= 13
3a + 2b= 35 2a - 2b= 10
11a - 8b= 4 a + 8b= 44
5a + 3b= 69 7a - 3b= 75
5a + 6b= 28 6a + 2b= 18
4a + 4b= 36 6a - 2b= 22
2a - 8b= 16 3a + 2b= 29
9a + 6b= a - 3b= 25.5
Answers
a=2 b=2
a=3 b=2
a=4 b=5
a=8 b=5
a=5 b=1
a=9 b=4
a=12 b=3
a=2 b=3
a=5 b=4
a=10 b=0.5
a=9 b=0.5
Home

52. Solving Equations Answers Home 8 6 3 10 7 12 5 16 27 4 Find x if:
How did you answer these questions?
X + 10 = 17
X + 15 = 27
X + 25 = 30
X- 9 = 15
X – 13 = 40
Find x if
3x + 6 =21
7x + 11 = 67
5x + 4 = 24
9x – 2 =25
11x – 14= 30
10x - 7= 53
12x + 11= 155
15x - 14= 61
13x + 25 = 90
Answers 8 6 3 10 7 12 5 16 27 4
Home

53. Graphical Simultaneous Equations
Solve these simultaneous equations graphically (draw x axis to 10 and y axis to 15):
y=2x + 4 and y=3x -1
y=5x - 3 and y=4x + 1
y=x + 7 and y=2x + 4
y=2x + 2 and y=6-3x
y=10 – 2x and y=12-3x
(5,14)
(2,7)
(3,10)
(1,3)
(2,6)
Home

54. Substituting Home If A is 5 what is: 5A 11A 6A – 10 9A + 15 100-5A
ANSWERS 2 55 20 60 75 30 15 84 27 13 1 50 42 48
252 8 -2 12
-33 9
-16
-18
-50 31
If A is 5 what is: 5A
11A
6A – 10
9A + 15
100-5A
If B is 7 what is
2(B+8)
3(B-5)
B(B+5)
9(10-B)
(3+B)X(B-5)
If A= 6 and B=7 what is:
A+B
B-A
6A+2B AB
A(B+1)
A2B
Home

55. Trial and Improvement Home
Use trial and improvement to find the positive solution to these quadratic equations to 1 dp, you may like to use a table, the table for the first question has been drawn for you (all answers are between 1 and 5).
X2 + 3x -30=0
X2 + 2x -20=0
X2 + 4x -10=0
X2 -2x -5=0
Use trial and improvement to find the positive solution to these quadratic equations to 2dp (all answers are between 1 and 5)
3X2 - 5x -10=0
2X2 + 2x -25=0 x X2
+3x
-30
Big or small?
ANSWERS
x=4.2
x=3.6
x=1.7
x=3.4
x=2.84
x=3.07
Home

56. Writing Expressions Answers Home C + 3 C – 2 2C 2C+5 4C
2(2C+5) OR 4C + 10
S+5
S/2
S-4
S/4 + 1
24M
M/2 X 8 OR 4M
5M/4 3M
15M xy
6xy
2x + 2y or 2(x + y)
My age is C, write expressions for the ages of the members of my family if:
My brother is 3 years older than me
My sister is 2 years younger than me
My mum is double my age
My dad is 5 years older than my mum
My Gran is 4 times my age
My Grand Dad is twice my Dads age
If I have S sweets, write an expression for the number of sweets my friends have if I:
I give Tom all my sweets and he has 5 of his own
I give Alan half of my sweets
I eat four sweets then give Simon the rest
I give Lucy a quarter of my sweets, then an extra 1
My favourite song last M minutes, how long do I spend listening to music if:
I listen to the song once and hour all day (and including when I’m asleep)
I listen to half the song 8 times
I listen to the intro (a quarter of the song) 5 times
I listen to my song, then the next one which is exactly twice as long
I listen to my song, then the next one which is exactly twice as long, and do this 5 times throughout the day
If a rectangle has lengths x and y, write an expression for:
The area of the rectangle
The area covered by 6 rectangles
The perimeter of the rectangle
Home

57. y=mx +c Answers Home bottom / top top / bottom
gradient- 3 intersection- (0,4)
gradient- 2 intersection- (0,-5)
gradient- 6 intersection- (0,9)
gradient- 1 intersection- (0,-7)
gradient- 10 intersection- (0,0)
gradient- 8 intersection- (0,5)
gradient intersection- (0,7) 1 2 3 -5 -1
-11
-25
Copy and complete:
A line with a positive gradient will go from ________ left to ________right
A line with a negative gradient will go from ________ left to ________right
Look at the equations below, write down the gradient and the coordinates of the intercept of the line they represent.
Y=3x+4
Y= 2x-5
Y=6x+9
Y=x- 7
Y=10x
Y=5+8x
Y=7-11x
Draw an axis from -10 to 10, plot the following lines
Y = 2x + 3
Y = 3x – 2
Y = -2x + 5
Y = -3x + 9
Find the gradient of the line between these pairs of coordinates by dividing the change in y by the change in x.
(3,3) (5,5)
(5,5) (6,7)
(1,2) (3,8)
(10,9) (6,1)
(15,20) (10,5)
Using the gradient worked out in the last question and one of the coordinates, find the value of c for the line between the pairs of points in question 4.
Write out the equation of the line between the pairs of points in question 4 in the form y=mx+c
Home

58. Finding the Area of Circles
You can find the area of a circle by using the formula-
Area= π x Radius2
For Example-
Area= π x 72
= π x 49 =
= (to 1dp) cm2
7cm
ANSWERS 2a
12.6 b
78.5 c
15.2 d
380.1 e
314.2 f
153.9 g
100.5 h
28.3
Home

59. Area of Triangles Home Answers: 6m2 24m2 3m2 20m2 12m2 35m2
1. Find the area of the triangles on the left
2. Find the missing lengths of the triangles on the right
Answers:
10m
14m 6m 3m
20m
Home

60. Circumference Home Answers: 34.6cm 72.3 25.1cm 44.0cm 77.1cm 51.4cm8
5cm
30cm
20cm
3cm 9 10 11 12
6cm
5cm
9cm
4cm
14cm
8cm
30cm
6cm
12cm
18cm
Home

61. Double angle theorem Home 2 3 1 Answers 1) 50 2)120 3)180 4)50 5)67.5
25°
60°
90°
Answers
1) 50
2)120
3)180 x x x
4)50
5)67.5
6)80 5 6 4 x x x
160°
100°
135°
Home

62. Triangles inside circles2 3 1
72°
Answers
1) X=30
2)x=18
3)x=45 x x
60° x x
4)X=40 y=40
5)x=30 y= 120
6)x=22 y=136 x 3 1 2 x y x
22°
100° y y
30° x
Home

63. Angles connected by a chord2 3 1
25° y
10° x x
40° z x
100°
125° y
15° z
15°
Answers
1) x=25 y=15
2)x=125 y= 40 z=15
3)x=10 y=70 z=100 y
4)X=105 y=40 z=35
5)x=53 y= 30 z=72
6)x=85 y=80 z=17 5 4 z y x
80°
17°
95° 6 z y y
40° x x z
35°
25°
53°
Home
30°

64. Tangents to a circle Home 1 Answers: x=55 x=40 x=50 y=50 z=40 1
35 ° 1
140° x 2
120° x 4
40° x y z 3 z y
Home

65. Cyclic Quadrilaterals2 1 3 x y
95°
110°
54°
20° x y x
75° y
80°
Answers
1) x=70 y=85
2)x=126 y=105
3)x=100 y=160 4 5
25° a
15°
70° w
4)w=15 x=70 y=65 z= 25
5)a=60 b=36 4b y z
Home 2a x b

66. Construction
Home

67. Trigonometry- Sin and Cos
Answers:
d=hypotenuse
e=adjacent
f= opposite
h=hypotenuse
g=adjacent
i=opposite
j=hypotenuse
k=adjacent
l=opposite
m=hypotenuse
o=adjacent
n=opposite
p=hypotenuse
q=adjacent
r=opposite
Answers: 2.
6.1
3.5
e)7.1
f) 7.1
g)2.6
i)3.1
k) 2.1
l) 14.9
n) 11.3
o)3.8
p)12.6
r)18
Home

68. Trigonometry- finding angles
24cm
29cm
Answers:
41.4
76.2
49.3
51.4
70.6
53.1
32cm
Home

69. Cosine rule Home Answers: 32cm 3.5cm 45.4c˚ 139.5 ˚ 25.2 or 11.1cm

70. The Sine rule
Answers:
10cm
3.0cm
3.4 cm
25.7cm
50.2cm
26.7cm
Home

71. Trigonometry- Sin, Cos and Tan
Answers:
15.7
46.7
32.2
30.6
21.9
63.5
6.1
11.9
69.3
15.6
2.1
7.7
15.7cm
Home

72. Sine and Cosine Rule Home Answers: 1)25.6˚ 2)6.5cm 3)20.4cm
4)21.6 or 15.6 cm
5)9.73cm
6)40 ˚
7)34 ˚
8)5.3cm
9)14.3˚
10)42cm
11) 24.46cm
12)27.6 or 3.6 cm
10cm
14cm
8cm
22cm
19cm
15cm
Home

73. Sin, cos and tan 2 Home Home Answers: 3.1cm 6.1cm 5.1cm 17.1cm 4.5cm

74. Translation
Home

75. Reflection 2
Home

76. Reflection 1
Reflect these shapes in the mirror lines
Home

77. 3D Pythagoras
Find the length of the longest diagonal of these cuboids
Answers
11.2cm
12.0cm
12.2cm
9.4cm
13.4cm
15.2cm
Home

78. Rotation
Home

79. Find the Perimeter of these shapes
Answers
21cm
17cm
5cm
8cm
4cm
9cm
12cm
10cm
3cm
15cm
7cm
11cm
8cm
5cm
4cm
9cm
Answers
16cm
25cm
72cm
39cm
96cm
110cm
42cm
8cm
3cm
5cm
4cm
12cm
11cm
13cm
All of these shapes are regular
Answers
26cm
30cm
25cm
36cm
Home

80. Worded Pythagoras Home Answers 44.7m 74miles 27.7m 8m 10.7m 52.9m
A hunter fires an arrow to kill a bird, the bird falls 20m and the hunter has to walk 40m to pick it up, how far did the arrow travel to the bird?
A boat travels 45 miles east then 60 miles north, how far is it from where it started?
A swimming pool is 25m by 12m, if someone swam from one corner to the other, how far would they have swum?
A kite is flying on a string which is 10m, the kite is flying 6m of the ground, if the kite plummets straight down how far will the kite flyer have to walk to pick it up?
A totem pole is tied to the ground with ropes stuck in the ground with pegs, if the rope is 14m long and the pole is 9m long, how far will the pegs be from the base of the totem pole?
A lighthouse shines a light on a ship, the light beam is 80m long, the ship is 60m away from the base of the lighthouse, how tall is the lighthouse?
Answers
44.7m
74miles
27.7m 8m
10.7m
52.9m
Home

81. Home Answers a=27 (corresponding) b= 120 (alternate) c = 85 (interior)
27°
Find a, b and c giving reasons for each answer.
120° b
75°
45°
110 ° c
95 °
Answers
a=27 (corresponding)
b= 120 (alternate)
c = 85 (interior)
a= 105 (interior)
b=45 (alternate)
c= 110 (alternate) a b
110 °
Find a, b and c giving reasons for each answer. c
120 °
55 °
115 °
25 °
10°
Answers
70,70,110
60,60,60
55,125,55
115,65,65
155,25,25
170,170,10
Home

82. Home Answers 105 120 30 Answers 135 150 90 50 Answers 145 Answers 45
45 °
130 °
30 °
Find the values of x x
Answers
135
150 90 50
45 °
55°
25°
Find the values of x x
95°
15°
60°
35°
30°
120°
Find the values of x x
95°
35 °
110°
70 °
Answers
145
Answers 45 36 80 31
120°
25 ° 2x x
3x°
80 ° 4x 5x
Home

83. Angles in a triangle Home ANSWERS 50 65 60 ANSWERS 100 80 90 60 72 7193 85
ANSWERS 80
130 40 75
Home

84. Plans and Elevations
Draw the plan and the front and side elevations for these shapes
Home

85. Angles in Polygons 1 What is the sum of the angles in a: 3 sided shape
ANSWERS
180
540
1080
1440
3240
5040
260
149
151
219
x= 45
140
Angles in Polygons 1
2. Find the missing angles
83°
92°
100°
41°
95°
45°
40° x
285° x
53°
100°
113°
327°
157° x
100°
330°
15°
75°
110°
90°
30°
150°
88°
162°
99° x
32°
11° x
95° x
265°
93° x
84°
72° x
125°
342° 3x
96° x
172°
290°
154°
90°
88°
153°
153°
106°
Home

86. Interior and exterior angles
ANSWERS
I=140, E=40
I=144, E=36
I=150, E=30
I=156,E=24
I=165.6, E=14.4
Find the exterior and interior angles of a regular shape which has:
9 sides
10 sides
12 sides
15 sides
25 sides

87. Regular polygons – finding number of sides
ANSWERS 8 9 12 16 18
120
1. How many sides does a regular polygon have if it’s exterior angles are: 45 40 30
22.5 20 3
ANSWERS 2. 8 9 12 16 18
120
2. How many sides does a regular polygon have if it’s interior angles are:
150
156
157.5
162
165
168.75
Home

88. Pythagoras
ANSWERS 5m
10m
13m
10.8m
6.3m
3.3m
6.9m
8.7m
5.8
1.9m
Home

89. Mean Home Find the mean from these numbers: 5,3,4 10, 11, 1, 7
ANSWERS 4 7 10 5 6 20
0.25 8 3
Add all players ages, divide by the number of players
Add all the heights together divide by number of people
Add up number of sweets eaten by boys, divide by number of boys
Add all the hours together divide by the number of pupils
Add together how many someone says lol each day for lots of days, divide by the number of days
Find the mean from these numbers:
5,3,4
10, 11, 1, 7
15, 8, 7, 10
14, 2, 4, 1, 4
7, 8, 5, 10, 4, 2
24, 26, 32, 17, 1
0.2, 0.1, 0. 5, 0.2
20, 9, 3, 8, 8, 7,1
17, 18, 15, 10, 8, 2, 9,1
0,0,0,0,0,18
How would you find the:
Mean age of players in a football team
Mean height of a family
Mean number of sweets eaten by boys in a day
Mean number of hours spent watching TV for a pupil each night
Mean number of times someone says “LOL” a day
Write down 3 possible lists of numbers if there are:
4 numbers with a mean of 6
5 numbers with a mean of 8
7 numbers with a mean of 9
Home

90. Mean, Mode, Median and Range
ANSWERS
favourite colour and favourite football team
6,8,7,6
5,2,3,10
8,4,6,11
23,15,20,20
7,0,5,19
8,2,7,16
10,15,13,20
Either the mean or the median
All can be negative except the range.
Which of these could you not find a median for?
Height
Favourite colour
Score in a test
Favourite football team
Find the mean, mode, median and range for these sets of numbers:
5,7,2,8,8
2,12,6,3,2
15,4,11,6,4
20,30,35,15,15
4,7,0,14,0,19,5
2,9,18,12,7,2,6
21,13,15,2,15,3,1
Write 3 different lists of 5 numbers which have a mean of 7.
Write 3 lists of numbers which have a median of 11
Would mode be a good thing to find if we were looking at pupils exact journey time to school? Explain your answer.
Can any of mean, median, mode and range be negative? Explain your answer
Home

91. Median and Range Home ANSWERS Median-6, range-10 Median-17, range-82.
Median=21, range=34
Median=35, range=55
Median=574, range=669
Median=-50, range=97
Median=-18, range=83 3.
Median=22, range-36
Median=18.5, range=80
Median=223.5, range=336
Median=7.5, range=17
Median=-32, range=96
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92. Mean from grouped tables
ANSWERS 40
18.25
Midpoints are an approximation of the scores
9.05
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93. Mean from tables
ANSWERS 18 24
1.3 30 44
1.5 47
107
2.3
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94. Drawing Pie charts 1 Home 1. 8 dog=1/8, cat=1/4, fish=5/8 2.
green=1/10
Pink=1/4
Blue=3/10
Red 2/5
b) green=2/20
Pink=4/20
Blue=6/20
Red= 8/20
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95. 3a. 180
ii)2°
b)50,144,64,20,81
1a. 36
ii)10°
b)40,70,100,150
4a. 720
ii)0.5°
b)100,60,50,45,50,65
2a. 72
ii)5°
b)30,45,60,45,180
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96. Probability as Fractions
ANSWERS
3/10
1/5
4/5
7/10
1/20
1/13
4/13
5/13
1/26
5/52
I have some counters in a bag. There are 3 blue, 5 red and 2 green. What is the probability I pick out:
A blue
A red
A green
A purple
A blue or red
A red or green
I am picking my socks at random today, I have 4 pairs with stripes on, 10 with spots, 5 with clowns and 1 with maths pictures. What is the probability I will pick out:
Spotty socks
Clown socks
Maths Socks
Clown or spotty socks
Maths or stripe socks
3. I have a pack of card (without jokers) what is the probability I pick:
A Red card
A heart
A Club
A heart or a club
A 2
A King
A picture card
A number card smaller than 6
A number card greater than 6
An even number
An odd number
A red number 3
A black Queen or red Jack
A King of Hearts or a 5
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97. Relative Frequency Home ANSWERS 75 37.5 125
Blue-0.25, red -0.5, yellow – 0.1, black 0.15
Blue-20,red-40,yellow-8, black-12
0.1,0.25,0.15,0.05, 0.45
50,125, 75,25, 225
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98. Listing Outcomes
ANSWERS
H1,H2,H3,H4,H5,H6,T1,T2,T3,T4,T5,T6
1+1=2
1+2=3
1+3=4
2+1=3
2+2=4
2+3=5
3+1=4
3+2=5
3+3=6
Tb,Tt,Tc,Cb,Ct,Cc,Jb,Jt,Jc 4 8 64 2x 6 24
If I flip a coin and roll a dice, list all the possible outcomes I could get.
I spin two fair spinners number 1 to 3.
Copy and complete the table to show all the possible outcomes.
When I have breakfast I have a drink and something to eat. The drinks I choose from are tea, coffee and juice and I eat a bagel, toast or cereal. Write down all the different combinations I could have for breakfast.
If I toss 1 coin there are 2 possible outcomes, find the number of outcomes for:
2 coins b. 3 coins c. 4 coins d. X coins
Lucy, Amy and George are going to have their photo taken so they sit in a line:
How many different ways could they order themselves?
Andy joins them, how many different ways could they order themselves now?
Spinner 1
Spinner 2
Total
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99. Drawing Bar Charts
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100. Tree Diagrams Home ANSWERS 2. 169/400 49/400 91/400 0.4 0.8 3. a)0.12
A) I have a bag with 20 balls in, there are 13 pink, 7 orange pull a ball out, put it back then pull another.
Draw a tree diagram showing all possible outcomes
Use your tree diagram to find the probability of getting:
2 pink
2 orange,
A pink and an orange.
B) The probability I have toast for breakfast is 0.6, the probability I will miss my bus is completely unrelated to my breakfast choice and is 0.2
What is the probability I will NOT:
Have toast for breakfast
Miss my bus
Use your tree diagram to find the probability of:
Having toast and missing my bus
Not having toast and missing my bus
Not having toast and not missing my bus
C) I am tossing a coin and rolling a dice:
Draw a tree diagram to show all possible outcomes.
A head a 3
A tails and a number bigger than 4
A tails with a 3 or a heads with a 1
D) I have some songs on my mp3 player, 4 are rock, 7 are Pop and 11 are Hip Hop. I put my mp3 player on shuffle and listen to 2 songs (it is possible to listen to the same song twice in a row)
Draw a tree diagram to show all the possible outcomes,
Find the probability that I will listen to:
Hip Hop then Pop
Rock twice
A Rock song and a pop song in any order
2 songs which are the same style (rock and rock or pop and pop ect.)
ANSWERS 2.
169/400
49/400
91/400
0.4
0.8 3.
a)0.12
b)0.08
c)0.32
1/12
1/6
7/44
4/121
14/121
93/242
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101. Stem and Leaf Diagrams Home ANSWERS 2. Range-42 , median-34, mode-22

102. Time taken to walk to school Hours spent on internet
Questions
Plot a scatter graph for each table. Say if there is a positive, negative or no correlation and try to give a reason why
Temperature
Ice Creams sold 17 63 31 53 12 77 35 39 28 34 43 46 22 64 37
Time taken to walk to school
Score in spelling test 27 2 10 40 14 5 1 6 42 15 47 17 22 35 4 38 31 13 18
Hours spent on internet
Score on ICT test 13 14 33 39 27 37 38 45 18 62 10 19 30 54 36 29 34 16 22 25 42 28
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103. The Probability Line
ANSWERS 2.
0.1
0.5
0.2 1
0.4
0.6
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104. Box and Whisker plots
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105. Mutually Exclusive Events
ANSWERS
0.7
0.6
0.48
0.79
75% 2%
3/5
4/10
3/15
Mutually exclusive
Not mutually exclusive
0.1
0.2
0.23
0.24
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106. Sample Space Diagrams Home ANSWERS 1/36 1/12 1/9
7, it appears the most
6/25
19/25
9/25
8/25
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107. Sampling Home ANSWERS Year 7- 20 Year 8-18 Year9 -24 Year 10- 15
Football-16
Hockey-5
Basketball-11
Swimming-13
Badminton-1
Tennis-4 3.
Male and maths- 5
Male and english-6
Female and maths-10
Female and english-4
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108. Histograms Home 10 0.5 5 1 15 5 30 2.5 60 4 ANSWERS
Histograms have uneven class intervals,
the frequency is represented by the area of the bar not the height,
frequency density is displayed on the y axis 10
0.5 5 1 15 5 30
2.5 15 60 4
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109. Drawing Cumulative Frequency Graphs
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110. Pie Charts Home Answers: 20 and 20 All are 25 All are 5
Yellow and blue are 9 red is 18
Yellow and red are 12 others are 6
Red is 120 yellow is 80 others are 40
Red and blue are 80 others are 160
Green and yellow are both 90 others are 270
Pie Charts
40 people
100 people
40 people
36 people
48 people
320 people
640 people
720 people
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111. Pie Charts 2
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Find the number of people represented by these slices of pie charts
156 people were asked
72 people were asked
Favourite Colour
Angle
Blue 60
Green 30
Turqoise
120
Purple
Black
people 26 13 52
Favourite Country
Angle
USA 20
Mexico
Turkey 40
France
100
Spain
180
people 4 8 20 36
180 people were asked
400 people were asked
How do you get to school
Angle
Bus 10
Train 80
Walk
140
Car 90
Metro 40
people 5 40 70 45 20
Favourite Sport
Angle
Football 36
Hockey
108
Swimming
Water polo
Basket Ball 72
people 40
120 80
240 people were asked
160 people were asked
Favourite food
Angle
Pizza 6
Chinese 54
Roast Dinner 96
Curry
186
Mexican 18
people 4 36 64
124 12
Favourite Maths Topic
Angle
Fractions 18
Area 90
Algebra 54
Percentages 72
Pie Charts
126
people 8 40 24 32 56

112. Home Reading Bar Charts Presentation Courtesy- TES ANSWERS 5 3 39 Punk14 12 10 8
ANSWERS 5 3 39
Punk
RnB 51
Punk, RnB, Metal/Rap, Pop/Reggae 6 4 2
Bart
Homer
Marge
Lisa
Maggie 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1
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Heavy Metal
Punk
RnB
Rap
Pop
Reggae
Favourite Music Style
Presentation Courtesy- TES