“Climbing the mountain to success” Globe Academy ... Year 7... · Globe Academy Home Learning...

Globe Academy Home Learning booklet “Climbing the mountain to success”

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Globe Academy

Mathematics

Department

Home Learning

Booklet Name: _________________________

Subject: Mathematics

Class Group: ____________________

Teacher: _______________________

Develop a passion for learning. If you do, you will never cease

to grow.

Anthony J. D'Angelo

http://www.brainyquote.com/quotes/authors/a/anthony_j_dangelo.html


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Home Learning Task 1: Equivalent Fractions

Date set: Deadline for completion:

Home Learning Record

After completing each Home Learning task please complete the record boxes

below.

Task Details:

Student signature/comment:

Deadline date:

Parent signature/comment:

Date completed:

Teacher signature/comment:


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Simplifying the following fractions to find the lowest equivalent fraction:

1) 3 2) 4 3) 6 4) 8

6 8 9 12

5) 8 6) 7 7) 12 8) 15

20 21 30 25

1. I am equivalent to ½ The sum of my numerator and denominator is 15

What fraction am I?

2. I am equivalent to 25

The product of my numerator and denominator is 40

What fraction am I?

3) A man has £12,651 in his bank account. Round this amount to:

a. 1 significant figure

b. 2 significant figures

c. 3 significant figures

d. 4 significant figures

4) The length of a red blood cell is 0.00608mm. Round this length to:

a. 1 significant figure

b. 2 significant figures


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Find all the equivalent fractions in this grid and write them below (there

should 11 more):

e.g. ½ and 4/8

1) 5) 9)

2) 6) 10)

3) 7) 11)

4) 8)


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Home Learning Task 2: Ordering and comparing fractions




below.

Task Details:


Deadline date:


Date completed:



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Place the following fractions on this number line:

(look out for the negative numbers!)


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1) Helen is taking out a short term loan

with 12% interest. She borrows

£45.35. To find how much she pays

back she uses a multiplier of 1.12.

How much money does she have to

pay back in total?

_______________

2) Calculate the product of:

a. 12.4 and 0.6

b. 0.7 and 0.41


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Home Learning Task 3: Adding and subtracting fractions




below.

Task Details:


Deadline date:


Date completed:



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Add these pairs of fractions Add these pairs of fractions

together: and mixed numbers together:


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10 is 2/5 of 25 (5/5 is 25, so 1/5 = 25 divided by 5)

Complete these facts (try to put the fractions in their simplest

form):

1) 8 is ½ of ____ 6) 9 is ¾ of ___

2) 11 is _____ of 22 7) ___ is 5/6 of 126

3) 6 is ____ of 9 8) 35 is 1 2/3 of ____

4) ____ is 1/3 of 24 9) 16 is ___ of 12

5) 4 is 1/5 of ___ 10) ___ is 2 3/4 of 40


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Home Learning Task 4: Plans and elevations


Home Learning Record After completing each Home Learning task please complete the record

boxes below.

Task Details:


Deadline date:


Date completed:



12


13


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Home Learning Task 5: Multiplying and dividing fractions


Home Learning Record After completing each Home Learning task please complete the record

boxes below.

Task Details:


Deadline date:


Date completed:



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Multiplying Fractions

Remember, it's as simple as multiplying the numerators and denominators of the fractions together

separately e.g. 1

5 ×

2

3=

1×2

5×3=

2

15

1. 1

2×

1

3

2. 1

2 ×

1

2

3. 1

3×

1

4

4. 2

3 ×

3

4

5. 3

7×

4

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Mini-crash course!

Improper (Top-heavy) fractions have a numerator that is larger than (or equal to!) the denominator e.g. 5

4

or 7

3. Multiplication with improper fractions works in exactly the same way as shown before.

Mixed Numbers are made up of a whole number part and a fractional part e.g 23

4 or 1

4

5. in order to

multiply mixed numbers, they need to be converted into improper fractions.

Example: 23

4 =

11

4 We have two whole lots of 4 which is

8

4 and 3 portions of 4 which is

3

4 . Add them

together and we get 11

4.

Try these:

1. 12

3× 1

1

2

2. 11

4× 2

1

2

3. 31

4× 2

1

3

4. 11

4× 2

1

5


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These sets of questions involve mixed numbers and improper (top-heavy) fractions. You will need

to convert the mixed numbers into improper fractions to perform the calculations.

Dividing Fractions

Remember, it's as simple as flipping over the second fraction and performing a multiplication

e.g. 1

3 ÷

3

4=

1

3 ×

4

3 =

1×4

3×3 =

4

9

4) 3

5÷

6

10

5) 1

4÷

4

5

1. 1

4÷

1

3

2. 4

5÷

2

10

3. 1

2÷

2

4

1. 31

3÷ 2

1

2

2. 41

3÷ 4

1

4

3. 44

5÷ 2

7

10

4. 42

5÷ 4

3

4


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Home Learning Task 6: Revision of fractions




below.

Task Details:


Deadline date:


Date completed:



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1) Greg and Peter bought a large pizza to share.

Greg ate 5/8 of the pizza.

What fraction of the pizza was left for Peter?

2) Ben had 24 marbles. He lost ¼ of his marbles on the first

day. On the second day he lost another ¼ of his marbles.

How many marbles did he lose altogether?

3) Mum has 2/3 of a bag of carrots left. She then uses

another 1/6 of the bag. What fraction of the bag is left?

4) Max has finished 3/18 of his bag of sweets. Mike gives

him an extra 1/6 of his bag. What fraction of a bag does

max now have?


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5) Arsenal have played 11/15ths of their matches so far this

season. By April they will have played 1/5th more of their

total matches. What fraction of their matches do they have

left to play?

6) You have 9/14ths of your pocket money left. You spend

2/7ths of the total amount. How much do you have left?

7) What are the properties of a trapezium?

8) Write one similarity and one difference between a

rhombus and a parallelogram.

“Climbing the mountain to success” Globe Academy ... Year 7... · Globe Academy Home Learning...

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