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Week 1 | English Grammar

Day 1| Auxiliary verbs

Day 2 |Am/is/are

Day 3 |Am/is/are Questions

Day 4 |I am doing (present continuous)

Day 5 |Are you doing? (present continuous questions)

Day 6 |I do/work/like (present simple)(present continuous questions)

Week 2 | English Grammar

Day 1 |I don't... (present simple negative)

Day 2 |Do you...? (present simple questions)

Day 3 |I am doing (present continuous) I do (present simple)

Day 4 |I have... and I've got...

Day 5 |Was/were

Day 6 |Worked/got/went etc (past simple)

Week 3 | English Grammar

Day 1 |I didn't... did you...? (past simple negative and questions)

Day 2 |I was doing (past continuous)

Day 3 |I was doing (past continuous) and I did (past simple)

Day 4 |I have done (present perfect 1)

Day 5 |I've just... I've already... I haven't...yet (present perfect 2)

Day 6 |Have you ever...? (present perfect 3)

Week 4| English Grammar

Day 1 |How long have you...? (present perfect 4)

Day 2 |For, since, ago

Day 3 |I have done (present perfect) and I did (past)

Day 4 |Is done, was done (passive 1)

Day 5 |Is being done, has been done (passive 2)

Day 6 |Be/have/do in present and past tenses

Week 5| English Grammar

Day 1 |Regular and irregular verbs

Day 2 |What are you doing tomorrow?

Day 3 |I'm going to...

Day 4 |Will/shall (1)

Day 5 |Will/shall (2)

Day 6 |Might

Week 6| English Grammar

Day 1 |Can and could

Day 2 |Must, mustn't, don't, need to

Day 3 |Should

Day 4 |I have to

Day 5 |Would you like...?

Day 6 |Do this! Don't do that! Let's do that

Week 7| English Grammar

Day 1 |I used to...

Day 2 |There is... There are...

Day 3 |There was/were... There has/have been... There will be...

Day 4 |It...

Day 5 |I am, I don't

Day 6 |Have you? Are you? Don't you? etc

Week 8| English Grammar

Day 1 |Too/either/so am I/neither do I etc

Day 2 |Isn't/haven't/don't etc (negatives)

Day 3 |Do they? Is it? Have you?

Day 4 |Forming questions (who/what/why/where/when/which)

Day 5 |What...? Which...? How...?

Day 6 |How long does it take...?

Week 9| English Grammar

Day 1 |Do you know where...? I don't know what... etc

Day 2 |He/she said that... He/she told me that...

Day 3 |Work/working Go/going Do/doing

Day 4 |I want you to... I told you to...

Day 5 |I went to the shop to...

Day 6 |Go to... Go on... Go for... Go -ing... Get…

Week 10| English Grammar

Day 1 |Get...

Day 2 |Do and make

Day 3 |Have...

Day 4 |I/me He/him They/them etc

Day 5 |My/his/their etc

Day 6 |Whose is this? It's mine/yours/hers etc

Week 11| English Grammar

Day 1 |Myself/yourself/themselves etc

Day 2 |A/an...

Day 3 |Singular & plural

Day 4 |The...

Day 5 |Go to...

Day 6 |This/that/these/those

Week 12| English Grammar

Day 1 |Some & any

Day 2 |All/most/some/any/no/none etc

Day 3 |Adjectives

Day 4 |Adverbs

Day 5 |Imperatives

Day 6 |And but or so because

Week 13| English Grammar

Day 1 |When...

Day 2 |If we go... if you see... etc

Day 3 |If I had... If we went... etc

Day 4 |A person who... A thing that/which (relative clauses 1)

Day 5 |How long have you…?(present perfect 4)

Day 6 |For since ago

Algebraic Simplification


KS3 Maths Foundation Questions – Algebraic Simplification


improve-tution2

 

1) Simplify the following:

a) a + a + a + a + a =

b) 4b + b + 2b =

c) c + c + c + c + c – c – c =

d) a + a + 3a + 7a – 6a =

e) 2c – 4c + 4c + 2c – c =

f) 4b + 5b – 7b + 4b =

g) 6h + 3h – 9h + 5h + 7h – 3h =

h) 4t + t + 3t – 8t + 3t + 9t =

 

 

2) Collect the like terms:

a) 5x + 5x – 2y =

b) 7y + 6y + 9x – 2x =

c) 5z + 4z – 4x + 5x +3y =

d) 5z + 8z + y – 8y + 6x + 6x =

e) 7y + 8y – 3x + 6x – 9x + 4z + 9z – 2y + 8x – 2x – 4z =

 

 

3) Simplify the multiplications:

a) x × 2x =

b) 3y × y × 2y × 4x =

c) y × x2 =

d) z × 5z × 4x × 2y =

e) z × z × z × z =

 

 

4) Solve the brackets:

a) 3(9x + 2y) =

b) 4(4z + y) =

c) 8(5x – 2z) =

d) 9(7x – 4y) =

e) 7(3x + 8y) =

f) 9(7x – 4y) – 7(3x + 8y) =

g) 3(9x + 2y) + 8(5x – 2z) =

 

 

KS3 Maths Higher Questions – Algebraic Simplification


improve-tution1

 

1) Simplify the following:

a) 4c + b + 2b =

b) a + b + 3a + 7b – 6a =

c) 2c – 4c + 4c + 2c – c =

d) 4b + 5b – 7b + 4b =

e) 6z + 3h – 9z + 5h + 7h – 3h =

f) 4g + t + 3g – 8t + 3g + 9t =

g) 7y + 6y + 9x – 2x =

h) 5z + 4z – 4x + 5x +3y =

i) 5z + 8z + y – 8y + 6x + 6x =

j) 7y + 8y – 3x + 6x – 9x + 4z + 9z – 2y + 8x – 2x – 4z =

 

 

2) Simplify the multiplications:

a) 4x × 2x × 7x =

b) 3y × y × 2y × 4x =

c) Y5 × x2 × z =

d) z × 5z × 4x × 2y =

e) z × z × x × z × x =

 

 

3) Simplify the Divisions:

a)

b)

c)

d)

 

 

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