Year 7 - Percentages - Homework

Complete the questions below in the back of your book.

Examples - these are to help, don't write these in your books.

Finding 20% of 80

Let's start by working out 10% of 80

10% of 80 = 80 ÷ 10 = 8

Now working out 20% is easy:

20% = 10% + 10% = 8 + 8 = 16

Let’s try look at a harder example

Find 35% of 60

Let’s start again by working out 10%

10% of 60 = 60 ÷ 10 = 6

Now work out 5% - 5% is half 10% so we can divide our answer for 10% by 2

5% = 6 ÷ 2 = 3

Now working out 35% is easy:

35% = 10% + 10% + 10% + 5% = 6 + 6 + 6 + 3 = 21

Questions - make sure you show all your working out!

1. 10% of 70
2. 15% of 30
3. 35% of 80
4. 60% of 90
5. 55% of 40
6. 11% of 120 (remember to find 1% divide by 100)
7. 15% of 70
8. 20% of 62
9. 51% of 120
10. In a school of 400 pupils, 53% are boys, how many pupils are boys?
11. A new born baby's body is 75% water.  If a new born baby weighs 3000g, how many grams of water does it contain?
12. David had £230 before spending 20% of his money on clothes, how much does he have now?
13. 82% of 150 students passed their maths test, how many passed?
14. 30% of 140 students in a year said maths was their favourite subject, how many students did NOT say maths was their favourite subject?

Extension Questions

1. Work out 0.1% of 56
2. Which is greater: 12% of 15 or 8% of 20?

YEAR 7 HOMEWORK - Highest common factor/Lowest common multiple

Examples


Find the Highest common factors of 12 and 15


Consider the numbers 12 and 15:
The factors of 12 are : 1, 2, 3, 4, 6, 12.
The factors of 15 are : 1, 3, 5, 15.
1 and 3 are the only common factors (numbers which are factors of both 12 and 15).
Therefore, the highest common factor of 12 and 15 is 3.


Find the Lowest common factors of 12 and 15 


Consider the numbers 12 and 15 again:
The multiples of 12 are : 12, 24, 36, 48, 60, 72, 84, ....
The multiples of 15 are : 15, 30, 45, 60, 75, 90, ....
60 is a common multiple (a multiple of both 12 and 15), and there are no lower common multiples.
Therefore, the lowest common multiple of 12 and 15 is 60.


Questions

1. Write down the first 5 multiples of 8
2. Write down the first 5 multiples of 5
3. Write down the first 5 multiples of 7
4. Write down the first 5 multiples of 11
5. Write down the first 5 multiples of 16
6. Write down the factors of 12
7. Write down the factors of 15
8. Write down the factors of 36
9. Write down the factors of 24
10. Work out the lowest common multiple 8 and 5
11. Work out the lowest common multiple of 5 and 7
12. Work out the lowest common multiple of 8 and 7
13. Work out the highest common factor of 12 and 15
14. Work out the highest common factor of 15 and 24
15. Work out the highest common factor of 24 and 36

Year 8 - Powers of ten homework

1)
a. 12 x 10²
b. 582 x 10³
c. 0.56 x 10²
d. 78.85 x 10³
e. 0.0512 x 10²
f. 125.6 x 10²


2)
a. 56.58 ÷ 10²
b. 0.6856 ÷ 10²
c. 0.0556 ÷ 10³
d. 86 ÷ 10⁴
e. 0.66 ÷ 10⁵
f. 6 ÷ 10²

3)
a. 566 ÷ 0.1
b. 696 ÷ 0.1
c. 0.025 ÷ 0.1
d. 0.58 ÷ 0.01
e. 25 ÷ 0.01
f. 0.08 ÷ 0.001

4)
a. 566 x 0.1
b. 696 x 0.01
c. 0.025 x 0.1
d. 0.58 x 0.01
e. 15 x 0.01
f. 0.0058 x 0.001

5)
a. 0.1 x 0.1
b 0.1 ÷  0.1
c. 0.01 x 0.1
d. 0.1 ÷  0.01

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