Year 10 - Reverse Percentages Homework

Please show ALL WORKING for ALL questions

Question 1
To find 20% of 40 we can multiply it by 0.40

What decimal would we need to multiply 56 by find:
A 15% of 56
B 55% of 56
C 90% of 56
D 12.5% of 56
E 150% of 56

Question 2
A
If a car's price was increased by 20% and is now £6000, how much was it before the increase in price?

B
If a house price dropped by 15% and is now £85000, how much did it cost orginally?

C
The population of an island has risen 8% since last year.  The population is now 280 000.
What was it a year ago?  Give your answer to 2 significant figures.

D
A store reduces all its prices by 30% in a sale.
The reduced price of a television is £875.  How much was it before the sale?

E
Dave buys a car for £3150.  The price was reduced by 10% for paying cash.
Dave says 'I saved £315 by paaying in cash.'
i) Explain why Dave is wrong.
ii) Work out how much Dave saved.

7Q2 - Ordering decimals - 22/09/2010

Put the following decimals in order from SMALLEST to LARGEST


1.    1.4, 1.9, 1.8, 2.1, 1.97
2.    1.23, 1.2, 1.234, 1.203
3.    0.9987, 0.9999, 0.9897, 0.9862
4.    2.35, 2.34, 2.356, 2.346

5.   Copy and complete table below in your book, add  4 extra rows and put in the following numbers:

4.57, 45, 4.057, 0.045

Extension Question 

5.   One meter is 100 cm.  Change all the lengths below and put the in order from SMALLEST to LARGEST

        

         6.25 m, 269 cm, 32 cm, 2.7 m, 0.34 m

6.   One kilogram is 1000 grams.  Change all the weights below and put the in order from SMALLEST to LARGEST

         467 g, 1.260 kg, 56 g, 0.5 kg, 0.055 kg

10B2 - Percentage homework - 22/09/2010

Question 1 - Use spider percentage method to work out the following percentages
a.  Find 25% of 36
b.  Find 16% of 22
c.  Find 75% of 84
d.  Find 66% of 53

Question 2 - Write down method used
To answer this type of question it is helpful to know what the different numbers mean.  In part b, we have
Find 16 as a percentage of 64.
In this case 64 is the quantity that is equal to 100%, we need to work out, if 64
is equal to 100%, was is 16 equal to.

To do this
STEP 1
We divide 16 by 64, which will give us the decimal 0.25 or a fraction of 16 over 64 which can be cancelled to a quarter.
STEP 2
We then times it by 100 to turn the decimal or fraction in to a percentage. 0.25 or a quarter times 100 gives 25%

a.  Find 40 as a percentage of 100

b.  Find 16 as a percentage of 64

c.  Find 12 as a percentage of 20

d.  Find 33 as a percentage of 44

Question 3

 - Write down method used

Out of 52 people who take a driving test, 34 people pass.

    What percentage of people:

a.  pass?

b.  fail?

Year 7 - Function Machines Homework

Question 1 - Fill in blanks where the question marks are, like we did in class.

Introduction to Algebra - Independent Learning Task


Read then complete the questions below, only the first three questions are compulsory.

In mathematics letters can be used to represent a  number that we don’t know, or when it can vary (it could be lots of different numbers )
Here is some algebra shorthand:

• 2x means 2 multiplied by x, where x can be any number

x can be any number, so let's say x = 5 then 2x = 2 × 5 = 10!

• 2g means 2 multiplied by g
• 6y means 6 multiplied by y
• 6x + 2 means 6 multiplied by x then add 2

2x, 2g, 6y and 6x + 2 are all called expressions.
x, g and y are called variables because they are unknown or could be lots of different numbers, they can vary.

Example
Write down what the expression  6x is equal to when
A. x=2 B. x=3 C. x=10
Answers:
When x=2 , 6x = 6 × 2   = 12
When x=3 , 6x = 6 × 3 = 18
When x=10 , 6x = 6 × 10 = 60

Questions
1. Write down what the expression  10x is equal to when
A. x=2 B. x=3 C. x=10

2. Write down what the expression  x + 5 is equal to when
A. x=41 B. x=52 C. x=10

3. Write down what the expression  x—5 is equal to when
A. x=8 B. x=15 C. x=25

Extension Questions
4. Write down what the expression  5x - 54 is equal to when
A. x=9 B. x=25 C. x=105

5. Write down what the expression  ½(2x  - 5) is equal to when (HINT— you do the calculation in the brackets first then half it)
A. x=12 B. x=9 C. C. x=10

6. Write down what the expression  ¼n(n + 5) is equal to when ( HINT—you do the calculation in the brackets first then multiply  it by ¼n)
A. n=4 B. n=16 C. n=10

Link to BBC page if you're having trouble understanding or want to find out more about algebra. Click HERE!

Year 7 – Sequence Homework

Year 7 – Sequence Homework 

1.
Give the next two terms in the following sequences.
Describe the term to term rule you have used. Hint: Think how you get from one number (TERM) to the next

Example:
 0,7,14,...
Answer: 0,7,14, 21, 28 Term to term rule : add seven.

a.  3,6,9,... b. 4,8,12,.. c. 4,9,14, … d. 23,20,17…
e. 101,108,115,… f. 9,18,27,.. g. 32, 28, 22, … h  301, 310, 319, …
i. 2,10,50,... j. 2,6,18, ... k. 1,4,9,16,… l. 240,120,60,…
m. 10, 7, 4, 1, -2, … n. 1000,100,10,1,0.1,..

2.
For each pair of numbers find two different sequences, writing the next two terms. Describe the term to term rule you have used
Hint :one rule may be addition based the other rule may be multiplication based

Example:
4,8,...
Answer: Sequence 1: 4,8,12,16 Term to term rule : add four
 Sequence 2: 4,8,16,32 Term to term rule double/multiply by 2

a.  1,4,... b.2,6, … c. 5,15, …