Year 7 - Area and Perimeter Homework

Sorry I couldn't put more of your rectangles up, some were very hard!


Complete the homework in the BACK of you book and draw the shapes before you work out the area and perimeter.


Work out the area and perimeter of the next four shapes.



1)

2)

3)

4)

Extension Homework

Work out the area and perimeter of the next two compound shapes.

Remember to split the compound shape up into small rectangles or squares, work out the areas of these shapes and then add them together at the end. 

Have a look at THIS if you need help.

1)

2)

Year 7 - Diet Homework

Remember the calories need to add up to a certain amount depending on your athlete.

 You won't be able to get them add up exactly but try and get them as close as possible.

Use the table below to finish the diet plan you started in class

Click on table below to enlarge

Percentages - Decimal Multipliers

Use DECIMAL MULTIPLIER and SHOW WORKING


Method
Percentage increase using Decimal Multipliers
For the explanation I will assume it's a 20% increase of a quantity 50
step 1 -  add increase to 100%: 100% + 20% = 120%
step 2 - divide this by 100: 120%÷ 100 = 1.2
step 3 - times quantity 50 by 1.2: 50 x 1.2 = 60


So 50 increased by 20% is 60


Percentage decrease using Decimal Multipliers
For the explanation I will assume it's a 20% decrease of a quantity 50
step 1 -  subtract decrease from 100%: 100% - 20% = 80%
step 2 - divide this by 100: 80% ÷ 100 = 0.8
step 3 - times quantity 50 by 0.8: 50 x 0.8 = 40 


So 50 decreased by 20% is 40


Also see BBC website below for more explanation and examples


http://www.bbc.co.uk/skillswise/numbers/fractiondecimalpercentage/percentages/percentincrease/factsheet5.shtml



Questions


1.My salary was £230 per week before I got a 7% pay rise. What is my new salary?
£230 x 1.07 =


2.The price of a TV is reduced by 15%. If it cost £500 before the reduction, what was it after?
£500 x 0.85 =


3.The price of an England shirt dropped by 20% after the World Cup, it was £35 before. How much was it after?


4.A house’s price increased 20% in 4 years, it was £230 000 4 years ago, how much is it now?


5.The number of boys in a school increased by 5% from 670 last year.
How many boys are there in the school this year?


6.VAT is 17.5%, add VAT to the following items giving your answers to 2 d.p..


Prices before VAT
a.  TV - £400
b.  Ipod - £70
c.  Laptop - £356


7. After an increase of 37% a house cost Richard £137 000. He wants to know how much it would have cost if it hadn’t been increased?(Different method to other question)

Year 7 - Decimal Homework

1. Work out the following:
a) 96 x 100   b) 5.2 x 10   c) 37.4 x 100   d) 4.8 ÷ 100

2. Work out the following:

a) 4.6 x 100   b) 0.042 x 10   c) 1.7 x 100   d) 4.8 ÷ 100

3. Work out the following:

a) 46.5809 x 100   b) 0.0968 ÷ 1000   c) 159.7 x 1000   d) 0.08015 ÷ 100000

2. Fill in the blanks:

a) 0.4 x …. = 40         b) 6 ÷ …. = 0.06          c) …. X 100 = 0.3




Extension Task


1.
Work out what weighs more given the information below, an elephant or 10000 pints of water?!


Weight of elephant : 4.5 Tonnes (1 tonne = 1000kg , 1kg=1000g)
Weight of a pint of water 568.2 grams


2.
Some ants can carry ten times their own weight, how much could one carry in milligrams? 
Try and convert you answer to grams
An ant weighs 3 milligrams (1 gram = 1000milligrams)


How many ants would it take to carry a dragon fly that weighed 0.03 grams?