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https://www.mathsgenie.co.uk/resources/2-fractions-of-an-amount-ws.pdf

Answers: https://www.mathsgenie.co.uk/resources/2-fractions-of-an-amountans.pdf

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https://www.mathsgenie.co.uk/resources/3-sharing-ratio-ws.pdf

Answers: https://www.mathsgenie.co.uk/resources/3-sharing-ratioans.pdf

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You need to achieve the following marks ON EVERY PAPER to get the corresponding grade

MARK        GRADE
10 / 80            1

20 / 80           2

35 / 80           3

45 / 80           4

55 / 80           5

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Password: Student1

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FRIDAY 19TH MAY - PAPER 1 NON CALCULATOR

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FRIDAY 19TH MAY - PAPER 1 NON CALCULATOR

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Arrive at college by 0845 AT THE LATEST

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Arrive at college 0845 AT THE LATEST

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Stay on top of your GCSE Maths skills with these resources on Indices.
Solutions can be found here: https://www.mathsgenie.co.uk/resources/4-indicesans.pdf

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Forgotten how to do Standard Form? Take a look here for a reminder.

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ExamQ: Maths GCSE and A-Level Exam Questions

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ExamQ by Mr Watts is a database of Maths GCSE and A-Level past exam questions for both teachers and students. Use the super fast search tools to find the perfect practice questions.

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Angles: compass directions Video 27b Practice Questions

Area: quarter-circle Video 47a Practice Questions

Averages: combined mean Video 53a Practice Questions Textbook Exercise

Averages: mode (frequency table) Video 56a

Averages: range (frequency tables) Video 57a

Averages: Quartiles Video 57b Practice Questions

Circles: perimeter - quarter-circle Video 62a Practice Questions

Circle theorems proof: right angle in a semi-circle Video 65a Practice Questions

Circle theorems proof: angles at circumference\centre Video 65b Practice Questions

Circle theorems proof: angles in the same segment Video 65c Practice Questions

Circle theorems proof: cyclic quadrilaterals Video 65d Practice Questions

Circle theorems proof: alternate segment theorem Video 65e Practice Questions

Circle theorems proof: radius and tangent proof Video 65f Practice Questions

Circle theorems proof: Textbook Exercise

Constructions: loci part 3 Video 77 Practice Questions Textbook Exercise

Coordinates: 3D Video 86 Practice Questions

Data handling cycle Video 89 Practice Questions

Dimensional analysis Video 97 Practice Questions

Division: long division Video 98a

Enlargements: ray method Video 109 Practice Questions

Equations: involving fractions Video 111 Practice Questions Textbook Exercise

Equations: x squared Video 116a Practice Questions

Equations: Think of a number Video 116b Practice Questions

Factorisation: splitting the middle Video 119a Textbook Exercise

Factorisation: difference of 2 squares Video 120 Practice Questions Textbook Exercise

Fractions: finding the midpoint Video 141a Practice Questions

Graphs composite bar charts Video 148a

Graphs: dual bar charts Video 148b

Graphs: misleading graphs Video 160a

Graphs: real life linear graphs Video 171a

Linear graphs: real life Video 198a

Money - See Video 400 or click here for collection

Multiplication: grid method Video 199 Practice Questions Textbook 1 Textbook 2

Multiplication: column method Video 200 Practice Questions Textbook 1 Textbook 2

Multiplication: times tables Video 204a Textbook Exercise

Number: odd and even numbers Video 221a Practice Questions

Number: product of primes (squares/cubes) Video 223a Practice Questions Textbook

Percentages: simple interest Video 236a Practice Questions Textbook Exercise

Proportion: unitary method Video 255a Practice Questions Textbook Exercise

Proportion: Graphs Video 255b

Proportion: Time Video 255c

Pythagoras: area of a regular hexagon Video 262 Practice Questions

Quadratic graphs: sketching using key points Video 265 Textbook Exercise

Quadratic graphs: finding turning point Video 265a Practice Questions

Quadratic graphs: line of symmetry Video 265b

Quadratics: solving (factorising) Video 266 Practice Questions Textbook 1 Textbook 2

Quadratics: solving graphically Video 267c Practice Questions Textbook Exercise

Quadratics: solving graphically advanced Video 267d Practice Questions

Questionnaires Video 268 Practice Questions

Ratio: express as fractions or % Video 269a Practice Questions Textbook Exercise

Ratio: given two ratios Video 271a Textbook Exercise

Ratio: difference between Video 271b Textbook Exercise

Ratio: expressing as 1:n Video 271c Textbook Exercise

Ratio: equations/ratios Video 271d

Ratio: solving problems 1 Video 271e Textbook Exercise

Sampling: using samples Video 281a

Sampling: random Video 282 Practice Questions

Scales and maps Video 283 Practice Questions

Sequences: nth term for fractional sequences Video 289 Textbook Exercise

Similar shapes: definition Video 291 Practice Questions

Similar shapes: further Video 294 Practice Questions

Simultaneous equations (substitution, both linear) Video 296 Practice Questions

Simultaneous equations (graphical) Video 297 Textbook Exercise

Surface area: mixture Video 309 Practice Questions

Surface area: other prisms Video 312

Transformations: mixture Practice Questions

Transformations of graphs Video 323 Practice Questions

Transformations of trigonometric graphs Video 324 Practice Questions

Trigonometry: sine rule (ambiguous case) Video 334a Textbook Exercise

Trigonometry: area of a triangle Video 337 Proof Practice Questions Textbook Exercise

Types of data: primary & secondary Video 343a Practice Questions Textbook Exercise

Types of graph: cubics Video 344 Practice Questions

Types of graph: exponential Video 345 Practice Questions

Types of graph: reciprocal Video 346 Practice Questions

Types of graph: mixture

Units: types of metric and imperial unit Video 347 Practice Questions

Units: Converting imperial units for length Video 348a Practice Questions

Units: Converting imperial units for mass Video 348b Practice Questions

Units: Converting imperial units for capacity Video 348c Practice Questions

Units: metric to imperial (length) Video 349d Practice Questions

Units: metric to imperial (mass) Video 349e Practice Questions

Units: metric to imperial (capacity) Video 349f Practice Questions

Vectors Video 353 Practice Questions

Views: front/side elevation and plan view Video 354 Practice Questions

Volume: Frustum Video 360a Textbook Exercise

Additional Topics

Flow Charts Video 364 Practice Questions

Geometric Proof Video 366

Identities: Equating coefficients Video 367 Practice Questions

Identities, Formula, Equations etc Video 367a Practice Questions

Intersecting Chord Theorem Video 368a Practice Questions

Intersecting Secant Theorem Video 368b Practice Questions

Quadratic graph (completing the square) Video 371

Equation of a Tangent to a Circle Video 372 Practice Questions

Iteration Video 373 Practice Questions

Iterative Processes Video 373a

Change of Sign Video 373a Practice Questions

Arithmetic progressions Video 374

Geometric progressions Video 375

Set notation Video 379

Venn Diagrams Video 380 Practice Questions

Shortest distance from point to a line Video 381 Textbook Exercise

Time series Video 382

Population Density Video 384a Practice Questions

Invariant Points Video 392 Textbook Exercise

Simultaneous Equations (3 Unknowns) Video 393 Textbook Exercise

Measuring Lines Video 397 Practice Questions

Drawing Lines Video 397a Practice Questions

Money: Coins Video 400a Practice Questions

Money: Change Video 400b

Money: Buying Video 400c Practice Questions

Money: Regular Payments Video 400d Practice Questions

Money: Bills Video 400e

Money: Discounts Video 400f Practice Questions

Money: VAT Video 400g Practice Questions

Money: Wages Video 400h Practice Questions

Money: Bank Statements Video 400i Practice Questions

Money: Tax Video 400j Practice Questions

Money: Cost per kg Video 400k Practice Questions

Money: Cost per litre Video 400l Practice Questions

Money: Cost per metre Video 400m Practice Questions

Money: Reading meters Video 400n

Money: Profit Video 400p Practice Questions

Money: Greatest/Maximum Video 400q Practice Questions

Money: Estimation Video 400r Practice Questions

Money: Midpoint Video 400s Practice Questions

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Videos, Practice Questions and Textbook Exercises on every Secondary Maths topic

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WEDNESDAY 14TH JUNE - PAPER 3 CALCULATOR

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Fractions, Decimals and Percentages are three different ways of expressing a part of a whole.

We can convert between fractions, decimals and percentages.

Converting between Decimals and Percentages

To convert a decimal to a percentage we multiply by 100.
Example 1: Convert 0.7 to a percentage
To convert a decimal to a percentage we multiply by 100.

0.7 × 100 = 70
0.7 = 70%
Example 2: Convert 0.19 to a percentage
To convert a decimal to a percentage we multiply by 100.

0.19 × 100 = 19
0.19 = 19%

To convert a percentage to a decimal we divide by 100
Dividing by 100 is the opposite of multiplying by 100
Example 3: Convert 25% to a decimal
To convert a percentage to a decimal we divide by 100.

25 ÷ 100 = 0.25
25% = 0.25
Example 4: Convert 9% to a decimal
To convert a percentage to a decimal we divide by 100.

9 ÷ 100 = 0.09
9% = 0.09
Try these:
Converting between Percentages and Fractions

A percentage is out of 100. We can re-write any percentage as a fraction by writing it over 100.
Example 5: Convert 11% to a fraction.
A percentage is the same as a fraction out of 100.
Example 6: Convert 36% to a fraction. Give your answer in it simplest form.
A percentage is the same as a fraction out of 100.

We have written 36% as a fraction, but it is not in its simplest form.
To simplify we need to find a times table that 36 and 100 are both in.
36 and 100 are both in the 2 and the 4 times tables.
4 is the biggest so we will divide the denominator and the numerator by 4.

36 = 4 × 9
100 = 4 × 25

We could have also halved the top and bottom, and then halved again:

= =

To convert a fraction to a percentage we can change the denominator to 100.
Example 7: Convert 7⁄ 20 to a percentage.
To convert the fraction to a percentage we need to make the denominator 100.

We can make the denominator 100 by multiplying by 5.
20 × 5 = 100

We have to multiply the numerator by 5 too keep the fraction equivalent.
7 × 5 = 35

= = 35%

When the denominator is not a factor of 100 it may be easier to convert the fraction to a decimal first, and then from a decimal to a percentage.
Try these:
Converting between Fractions and Decimals

To convert from a fraction to a decimal we can divide the numerator by the denominator.
Example 8: Convert 3⁄ 8 to a decimal.
We can use a calculator or short division to do the calculation.

3 ÷ 8 = 0.375

If we are using a calculator we can also use the SD button.
Example 9 : Convert 7⁄ 12 to a decimal.
We need to calculate 7 ÷ 12

7 ÷ 12 = \(0.58\dot3\)

The dot above the 3 means that the 3 is recurring (it goes on forever), 0.5833333333333333333...

To convert a decimal to a fraction we can convert it to a percentage (by multiplying by 100) and then write it is a fraction out of 100.
Example 10: Convert 0.88 to a fraction. Give your answer in its simplest form.
To convert 0.88 to a percentage we multiply by 100.
0.88 × 100 = 88

We can simplify our answer by dividing top and bottom by 4.

=

If the decimal involves a recurring numbers we can type it into the calculator instead and the calculator will do the conversion for us.
The recurring button looks like this:

It may be found (depending on your calculator) by pressing SHIFT then the square button:
Example 11: Convert \(0.7\dot3\) to a fraction. Give your answer in its simplest form.
We can type \(0.7\dot3\) into a calculator by pressing:
Try these:

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Maths revision video and notes on the topic of converting between fractions, decimals and percentages.

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The first step is to work out how many equal parts there are.
The ratio is 2:1 so there are 3 (2 &plus; 1) equal parts

We now need to work out how much each of the parts is worth
We divide the £120 between the 3 parts
£120 ÷ 3 = £40
Each part is worth £40

Now we can work out how much Abbie and Ben get
Abbie has 2 parts so she gets £80 (2 × £40)
Ben has one part which is worth £40

You may find it useful to draw a diagram for ratio questions

Abbie has 2 parts and Ben has 1 part, we could represent this as 2 boxes for Abbie and 1 box for Ben:

Each box must have the same amount in it and the total in all 3 boxes must be £120. We share £120 out evenly between the boxes (£120 ÷ 3 = £40)

We can see that Abbie gets £80 (£40 &plus; £40) and Ben gets £40
Example 2: A, B and C share £240 in the ratio 4:3:1
Work out how much each of them get.
4 + 3 + 1 = 8
There are 8 equal parts

£240 ÷ 8 = £30
Each part is worth £30

A gets 4 × £30 = £120
B gets 3 × £30 = £90
C gets 1 × £30 = £30
Try these: Example 3: A and B share some money in the ratio 5:2
A gets £40
Work out how much B gets.
In this example we have not been given the total amount. We have been given the amount that A gets

A has £40 and that is 5 parts

Each part much be equal so each part is worth £40 ÷ 5
£40 &divide 5 = £8

Each part is worth £8 and B has two parts
£8 × 2 = £16
Example 4: C and D share some money in the ratio 3:5
The difference between the amount C gets and the amount D gets is £18
Work out how much each of them get.
In this example we have been given the difference between the amounts of money C and D get.

The difference between 3 parts and 5 parts is 2 parts. (5 − 3 = 2)
2 parts must be worth £18
£18 ÷ 2 = £9

Each part is worth £9

C gets 3 × £9 = £27
D gets 5 × £9 = £45
Try these:

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Maths revision video and notes on the topic of sharing between ratios.