Expressions and Equations | Improve Tuition | Tutors | Tuition | Tutoring | Tutor

Table of Contents

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

Expressions and Equations


KS3 Maths Higher Questions – Expressions and Equations


improve-tution2

 

1) The number if T turns wheel makes is equal to the power, P applied multiplied by the angle, A started at, add 30. Write and expression for T:

T =

 

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2) The cost, C of building a model depends upon the height, h multiplied by the width, w, in addition to the number of branches, b.

a) Write an expression for C
C =

b) What is the cost when the model needs to be 2m tall, 0.5m wide and requires 9 branches?
C = £

c) How many branches are required if the model is 4m tall, 0.3m wide and the cost must be £5.20?
b =

d) The volume of water, V need at a hotel is the volume in the swimming pool and the volume of triangular hot tub. Volume of the pool is given by the width, w multiplied by the length, L, multiplied by the depth, d. the volume of the hot tub is given by the length, ᴌ multiplied by width, ᴪ, multiplied by depth, ᴆ divided by 3.

i) Write an expression for the total volume of water need V =

ii) Find V when the pool length is 8m, pool width is 3m, depth is 2.5m, tub length is 2m, tub width is 2.5m and tub depth is 1.5m.
V = m3

iii)Find tub depth when pool length is 3m, pool width is 2m, depth is 1.5m, tub length is 2m, tub width is 2.5m and total volume is 40m3.
ᴆ = m

 

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3. Adam decided that he had watched too much television for one day.

 

 

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