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....
Sunday, 21 November 2010
Saturday, 13 November 2010
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?
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?
Sunday, 7 November 2010
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.
Thursday, 21 October 2010
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)
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)
Wednesday, 6 October 2010
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
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)
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)
Tuesday, 5 October 2010
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
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?
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?
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