Quadrilaterals Homework - Year 7

This is the homework I set in maths on Wednesday, Period 5.

Click on the two images below to open in a new page and then print each one.  Complete the questions on the sheets.  

If you can't print it, come and see me on Friday.

Mr Philpott

Year 7 - Formulas

Please complete in the back of your book and show all working.

I have given you examples of excellent answers for 1)a and 2)a

Title: Formulas

1)
a What is  5 + 6w equal to when w = 2?

 Excellent answer :

5 + 6w = 5 + (6 x 2) = 5 + 12 = 17  (use the same method for the other questions)

bWhat is 6 + 3t equal to when t = 3?
c What is 2w + 5 equal to when w = 2?
d What is 2 + 15d equal to when d = 3?
e What is 17 + 3r equal to when r = 6?

2)
A window cleaner uses the following formula:

C = £5 + 2w

where

C = cost in £
w = number of windows

Calculate how much the window cleaner charges to wash the following number of windows:

a 3 windows
 Excellent answer:
C = £5 + 2w  and w = 3 (as we have 3 windows)

C = 5 + (2 x 3) = 5 + 6 = £11  (use the same method for the other questions)

b 6 windows
c 9 windows

3)
A dentist uses the following formula:

C = £15 + 20t

where

C = cost in £
t = number of teeth removed

Calculate how much the dentist charges to remove the following number of teeth:

a 1 tooth
b 3 teeth
c 4 teeth

4)
A formula for renting a car is  :

C = £46 + 24d

where

C = cost in £
d = number of days

Calculate how much it costs to rent a car for the following number of days:

a 2 days
b 4 days
c How much more expensive is it to rent a car for 6 days compared to 4 days?

Year 8 - Percentages

Complete in the back of your excercise book.  Do not use a calculator and show all of your working.

Example
What is 15% of 95

Answer:
10% of 95 = 9.5
5% of 95 = 4.75
15% of 95 = 9.5 + 4.75 =  14.25

1.
a What is 25% of 56
b What is 75% of 60
c  What is 40% of 70
d What is 60% of 85
e What is 37% of 25
f What is 18% of 120

2.
a What is 75 increased by 10%
b What is 85 decreased by 10%
c What is 110 increased by 50%
d What is 60 decreased by 25%
e What is 35 increased by 11%
f What is 150 decreased by 17%

Year 7 Algebra Homework

Complete the following questions in the back of your book.

Write the title: Algebra Homework

If you're not sure of the method look back through your book, you
have completed similiar questions in your books.

1
a How do you write n multiplied by 8 in algebra
b How do you write x divided by 9 in algebra
c How do you write y minus 7 in algebra
d How do you write n multiplied by 3 then add 6 in algebra

2
a What is 4n when n = 6
b What is 3y when y = 7
c What is 11n when n = 5
d What is 4b -3 when b = 2
e What is n + 7 when n = 2
f  What is 5q - 7 when q = 2
g What is n - 7 when n= 14
h What is n²+ 5 when n = 3
i What is n²- 6 when n = 6
j What is n/7 (n over 7) when n=14
k what is n/3 (n over 3) when n=27

3
Simplify these expressions:
a 3n + 11n
b 15n + 2n
c 4n + 7n + 2b
d 11b + n + 2b + 4n            

Converting between Fractions and Decimals

Complete the homework in the back of your exercise book.  Do not complete on the sheet if you choose to print it out.

1. Convert the following decimals to fractions and then cancel to their simplest form.

a 0.3
b 0.35
c 0.78
d 0.375
e 0.984

2. Covert the following fractions to decimals, do not use a calculator and show full working.  Use an appropriate method.

a 4/5
b 19/20
c 7/25
d 2/11
e 1/6

3. Covert the following recurring decimals into fractions showing a clear method.
a 0.2222222...
b 0.5555555...
c Can you see a pattern in your results? What is the pattern and can you predict what 0.8888888888.. will be equal to?


Extension Questions
a 0.1414141414...
b 0.4545454545...
c 0.125125125125...
d 0.833333333333....

Year 7 - Mean, Mode, Median and Range Homework - 7Q2

Please complete in the back of your books.  Thank you all those students who contributed questions.

Homework is due 22nd November.

The title is Mean, Mode, Median and Range


1) How do you work out the mean?

2) Work out the mean and median of these values:

2, 9, 10, 21, 28

3) Work out the range and median of these values:

2, 9, 3, 7, 11, 10, 15, 22

4) Work out the mean of these values:

6, 5, 7, 4, 8, 6

5) What is the mode of these values:

6, 3, 4, 3, 2

6) What is mode, median and range of these values:

3, 5, 6, 7, 1, 5, 7, 9 , 11

7) How do you know which is the modal choice for a bar chart?

Adding and subtracting fractions - 8R1

Please complete the following questions in the back of your book, not on the sheet if you print it out.  Show your working out.  CLICK ON THE QUESTIONS TO ENLARGE THEM.