YEAR-7-Summer-term-2014

```Year 7 Maths Homework – Summer term
Each week there is to be homework set, due in the day the teacher requests.
The topics for each week are listed below.
Week Beginning
Homework
number
Topic
22nd April
3.1
Averages; Mean, Median , Mode and Range
29th April
3.2
Statistical charts
5th May
3.3
Multiply and divide by powers of 10
12th May
3.4
Estimation; Rounding to given Decimal Places and
Significant Figures
19th May
3.5
Calculations; Multiply, Divide, Add and Subtract with
integers and decimals.
2nd June
3.6
Expressions and formulae
9th June
3.7
Expressions; Expanding brackets, Factorising.
16th June
3.8
Forming and solving equations
23rd June
3.9
Term review
30th June
3.10
Ratio and proportion
7th July
3.11
Conversion graphs
14th July
3.12
Project
21st July
3.13
End of year review
Please note: The date given is the date which the work is being taught in class. The due date
may well be the following week and is at the individual teachers discretion.
Each homework is divided into 3 sections, A B & C.
A is for all pupils to attempt.
B is slightly harder and for most pupils to attempt.
C is the higher level work for some pupils to attempt.
(Your teacher will tell you which parts you should work up to)
ONLY SPEND AROUND 30mins! If you are struggling, try using mymaths, if this doesn’t help
then ask someone who can, preferably your maths teacher (BEFORE IT IS DUE IN!)
Almost every other week is a Mymaths based homework. These are to be done online using
Please remember to click ‘checkout’ at the end so your work is submitted.
 If you do not have the internet at home please use the Learning Resources Centre in
school (open until 4pm Monday – Thursday, 3.30pm Friday)
Credits: Tristan: 3.1 B4, 3.7 C; D Burke: 3.7A; J Casey: 3.3A; Emaths: 3.8
Week 1 Summer term
Homework 3.1 – Averages
A.
1. Find the Mean of these numbers: 5
9
4
2. Find the Mode of these numbers: 7
5
8
6
8
3
1
4
8
3. Find the Median and Range of:
20
26
82
40
4. Fin the mean, mode,
median and range for:-
2
9
4
10
7
6
9
32
4
B.
1. The Mean of these numbers is 6: What number is missing?
5
9
?
2. The Median of these numbers is 6. What number is missing?
5
2
?
9
3. The Range of these numbers is 6. What number is missing?
3 1
5
4
?
4. Alison now has 6 blank cards. What should she write on them to
get the following?
(i) mean 5 and mode 4
(ii) mean 6, mode 6, median 6 and range 2
Qn4, With thanks to Tristan, tes
C. Work out the Mean, median, range and Mode from this frequency
table which shows the number of pets for 40 students:
Number of
pets
1
2
3
4
Frequency
5
11
15
7
Homework 3.2 – Statistical charts
Week 2 Summer term
Mymaths.co.uk Homework
A. Line graphs
and two way
tables.
B.
charts
• Drawing pie
charts
•
C.
• Scatter graphs•
• Grouping data
•
•
Homework 3.3 – Multiplying and dividing
by powers of 10
Week 3 Summer term
A. Work out the following questions:
(i) 60 x 10
(ii)
200 x 100
(iii) 890 x 1000
(iv)
2.5 x 10
(v) 50 ÷ 10
(vi)
400 ÷ 10
(vii) 700 ÷ 100
(viii)
38 ÷ 100
(ix) 67 ÷ 1000
(x)
234.4 x 1000
B. Design a poster to explain clearly how to multiply and divide
a number by a power of 10
C. Calculate showing full method clearly:
(i) 8.34 x 100
(ii)
53 x 1 000
(iii) 6 754 x 10 000
(v) 12.8 ÷ 100
(iv)
(vi)
7.2 x 0.01
4.3 ÷ 1000
(vii) 1 234 ÷ 10 000
(ix) 0.34 ÷ 0.1
(viii)
(x)
7.89 ÷ 0.01
0.7 ÷ _?__ = 7
Homework 3.4 – Rounding and
estimation
Week 4 Summer term
Mymaths.co.uk Homework
A. Round to the
nearest 10, 100, …
B. Rounding
decimals
C. Significant
figures
1004
Homework 3.5 – Calculations – integers
and decimals
A.
B.
Work out
(i)
(iii)
(v)
(vii)
385 + 314
42 x 3
96 ÷ 4
34 x 67
Week 5 Summer term
(ii)
(iv)
(vi)
(viii)
634 – 214
324 x 8
693 ÷ 5
234 x 68
1.
3.
5.
2. Subtract 5.86 from 14.7
Multiply 346 by 24
4. Divide 342 by 6
I pay £26.20 to travel to work each week. I work for 45 weeks
each year.
(a) How much do I pay to travel to work each year.
(b) I could buy a season ticket that would let me travel for all 45
weeks. It would cost £630. How much is that per week?
C.
Work out:
(i) 764 + 342
(iii) 876.62 – 23.51
(v) 3199 ÷ 7
(viii) 91.8 ÷ 17
(ii) 542.8 + 23.9
(vi) 672 x 32
(vi) 239.22 ÷ 6
Homework 3.6 – Expressions and formulae
Week 6 Summer term
Mymaths.co.uk Homework
A. Writing and
using formula
•
B. Simplifying
expressions
C. Brackets
•
=1179
Homework 3.7 – Expressions
Week 7 Summer term
A. Simplifying
(i) y + y + y + y
(ii) a + a + a
(iii) b x b x b x b
(iv) c x c x c
(v) 4a + 9a
(vi) 10b – 8b
(vii) 3d – 7d
(viii) 6c + 5d + 3c + 8d (ix) 5h x 6h
(x) 7(e + 6)
(xi) 3(2f – 3)
(xii) Circle the expressions below that have the same value as 2a2.
axa
a+a
2(a + a)
4a5 ÷ 2a3 2a x a
B.
Factorising
C. Brackets
1.
Factorise
2.
Expand and simplify
3.
Factorise
Week 8 Summer term
Homework 3.8 – Forming and solving equations
Important: Show all the steps in your working
B. Write the following as equations and solve to find the value of the letter:
1. I think of a number, multiply by 6 and add on 4. The answer is 34.
What was the original number?
2. I think of a number. I multiply it by 6 and add 3. If my answer is 75,
calculate the number I started with.
3.
Diagram NOT accurately drawn
The lengths, in cm, of the sides
3(x – 3)
of the triangle are 3(x – 3), 4x – 1
2x + 5
and 2x + 5.
(i) Write down, in terms
of x, an expression for the perimeter
of the triangle.
4x – 1
(ii) If the perimeter of the triangle is 49 cm, work out the value of x.
C.
1. Jo is twice as old as Bobby. John is 7 years younger than Jo. If the sum of
their ages is 38, how old are the three children?
2. Janet is three times as old as her daughter, Mary. Five years ago Janet
was four times as old as Mary. How old is Janet now?
3. Mrs Root gave her maths class this problem:
“When 8 is added to a certain number, the result is 3 times as large as
when 2 is subtracted from the number.”
She asked the class to find the original number. What was the correct
number?
Credit: Tristan
Homework 3.9 – Term review
Week 9 Summer term
Mymaths.co.uk Homework
A.
• Angles
• Sequences
•
•
B.
• Handling data
• Angles and
lines
•
•
•
C.
• Arithmetic
• Sequences and•
formulae
Homework 3.10 – Ratio and proportion
A.
1. Simplify the following ratios:
(a) 2:4
(b) 10:15
(d) 8:12:20
(e) 20mm : 5cm
Week 10 Summer term
(c)
20:10
2.
B.
1. Simplify the following ratios:
(a) 6:9
(b) 10:25
(c)
(d) 18:12:24
(e) 20min : 5hours
2. Share these amounts into the given ratios:
20:35
(a)
(b)
3.
C.
1.
3 metres of ribbon cost £1.26. Work out the cost of 5 metres
of the same ribbon.
Amy and Ben were given a total of £240. They shared the money in the
ratio 7 : 5. Work out how much money each received.
2. This is a recipe for making Spaghetti Carbonara for 4 people.
Bill is making Spaghetti Carbonara for 10 people.
Work out the amount of each ingredient he needs.
Spaghetti Carbonara: Ingredients for 4 people
400 g of spaghetti
120 g of bacon
2 tablespoons of oil
4 eggs
50 g of cheese
Week 11 Summer term
Homework 3.11 – Conversion and real life graphs
Mymaths.co.uk Homework
A.
• Conversion
graph
B.
• Real life
graphs
C.
Distance time
graphs
•
•
•
Homework 3.12 – Cooking project
A. B. C.
Week 12 Summer term
• Term finishes on Wednesday, 23rd July, 2014
• Review the year
• Use mymaths to revisit areas covered this term:
1. Averages.
2. Rounding and estimation.
3. +, -, x and ÷ with integers and decimals.
4. Expressions – simplifying.
5. Expressions – factorising.
6. Formulae – substitution and rearranging.
7. Equations.
8. Ratio and proportion.
9. Graphs.
10. Problem solving.
11. Statistical charts.
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