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S2 (2.4) L2 Fractions & Percentages.notebook December 02, 2014

Daily Practice 30.9.2014

Q1. 67.5 x 50

Q2. Round 67.22 to the nearest unit

Q3. Work out the surface area of this cube

Q4. Work out the volume of this cuboid

Q5. £60 - £45.04

4cm

60cm30cm

20cm

Today we will be learning how to find a

fraction of an amount.

To find a fraction of an amount simply means to divide the amount

by whatever the denominator of the fraction is.

Examples:

1. Find of 365 2. Find 1/8 of 220 3. Find 1/9 of 2790 1/5

Finding Fractions of Quantities 30.9.2014

Draw the following cross word box into your jotter, using the

squares in your jotter as a guide and then complete it.


The top of a fraction is called the numerator.The bottom of a fraction is called the denominator.

To find a fraction of an amount where the top of the fraction > 1*Divide by the bottom, multiply your answer by the top of the fraction*

Examples:

(i) Find 2/3 of 33 (ii) Find 4/7 of 2849 (iii) Find 3/8 of 1604

Finding Fractions of Quantities 2.10.2014


1 2/3 of 15 2 3/4 of 16 3 3/7 of 14 4 3/5 of 35

5 4/9 of 27 6 3/4 of 28 7 6/7 of 49 8 2/5 of 15

9 6/7 of 56 10 3/5 of 10 11 8/9 of 18 12 3/4 of 20

13 2/7 of 28 14 3/8 of 24 15 5/6 of 18 16 7/9 of 36

Finding Fractions of Quantities 2.10.2014 Finding Fractions of Quantities 2.10.2014

Simplifying Fractions


To simplify a fraction, just divide top and bottom by a common factor.

To fully simplify it, divide by the HCF.

Examples: Simplify the following fractions

(a) (b) (c) (d)

Q1. Calculate the volume of a cube with sides of length 7cm

Q2. 3277 + 1459

Q3. Solve 7g + 2 = 16

Q4. State the value of 3g2 when g = 4

Q5. Write out the 5 times table up to 5 x 12



Questions: Simplify the following

(a) (d) (g)

(b) (e) (h)

(c) (f) (i)


Equivalent Fractions

An equivalent fraction is just another way of writing a fraction.

For example

If you multiply top and bottom by the same number (it can be any number), you will get an equivalent fraction.

Examples: Write two equivalent fractions for the following

Questions: Write equivalent fractions for the following

(a) (d) (g)

(b) (e) (h)

(c) (f) (i)

Equivalent FractionsDaily Practice 7.10.2014

Q1. 78.22 + 38.313

Q2. Calculate the volume of this cuboid

Q3. Simplify the fraction

Q4. 320 ÷ 50

Q5. Simplify 3m + 2m - 1m + 10m

10cm4cm

5cm

Today we will be learning how to compare fractions.

Homework Due Friday


Comparing Fractions Comparing Fractions

Comparing Fractions Daily Practice 9.10.2014

Q1. Round 87.226 to 2 decimal places

Q2. Calculate the volume of a cuboid with length 6cm, breadth 7cm and height 5cm

Q3. Solve 5x - 1 = 19

Q4. Find the value of 4d2 - 2 when d = 3


Today we will be converting fractions so that we can compare

them numerically.

Homework Due tomorrow!

Comparing Fractions

To compare two fractions in terms of size, they need to have the same denominator.

We can find the common denominator by finding the LCM of both the denominators.

Examples:

1. 2.

and and


Comparing Fractions

For the following fractions:

1. Convert your fractions so that they have a common denominator.

2. Write down a <, >, or = sign between these fractions to show which is bigger or if they are equal.

(a) (b) (c) (d)

Adding & Subtracting Fractions Adding & Subtracting Fractions

Fractions can only be added/subtracted if they have the same denominator.

Ensure that you use the LCM to make the denominators the same.

Examples:

1. 2. 3.



Q2. Calculate the volume of a cuboid with length 5cm, breadth 4cm and height 10cm

Q3. What is the lowest common multiple of 3 and 5?


Q5. What is the area of this triangle?

5cm

6cm

Today we are going to learn how to find a

percentage of an amount.


Percentages 4.11.14

A percentage is a fraction whose denominator is 100.

1% = 8% = 20% =

13% = 50% = 98% =

Percentages 4.11.14

To find a percentage of an amount - Think about the percentage as a fraction, then it is the same as finding a fraction of an amount.

Examples: Work out the following

a) 1% of 700 b) 16% of 800 c) 28% of 2000

Percentages 4.11.14

Questions:

a) 1% of 1000 b) 4% of 300 c) 2% of 800 d) 9% of 100

e) 3% of 800 f) 19% of 500 g) 28% of 700 h) 34% of 300

i) 7% of 3000 j) 43% of 900 k) 40% of 7000 l) 38% of 1000

m) 14% of 4000 n) 30% of 10000 o) 8% of 120 p) 10% of 23

q) 2% of 34 r) 7% of 2.5 s) 5% of 78 t) 16% of 90000


Q1. Find 3/5 of 630

Q2. Round 145.223 to 1 decimal place

Q3. Write 6 hours and 45 minutes in decimal form

Q4.How many sides does a heptagon have?

Q5. Calculate the surface area of a cube with sides of length 8cm

Today we will be learning to simplify percentages

Percentages 6.11.14

What happens when...

*Simplify the fraction so the denominator is an easy number to divide with.

Examples:

a) Find 20% of 62 b) Find 25% of 72 c) Find 75% of 328

Find 40% of 87


Q1. 25% of 800 Q9. 50% of 321

Q2. 40% of 720 Q10. 20% of 600

Q3. 20% of 900 Q11. 80% of 740

Q4. 10% of 72 Q12. 70% of 900

Q5. 80% of 35 Q13. 30% of 80

Q6. 90% of 90 Q14. 10% of 43

Q7. 60% of 40 Q15. 20% of 65

Q8. 70% of 50 Q16. 60% of 320

Percentages 6.11.14Percentages 6.11.14

Rather than simplify each time, try to remember a few of the key ones:

10%

20%, 30% etc.

25%

50%

75%

331/3%

662/3%

Finding percentages of amounts

Questions:

(a) Find 25% of 80 (b) Find 2% of 400 (c) Find 80% of 700

(d) Find 7% of 200 (e) Find 331/3% of 360 (f) Find 90% of 90

(g) Find 10% of 340 (h) Find 50% of 350 (i) Find 75% of 840

(j) Find 662/3% of 18 (k) Find 30% of 70 (l) Find 5% of 600


20 Questions Mental Maths

Today we will be learning to do percentages

questions in context.

Percentages of amounts

Examples:

1. 40% of entrants to a course are male. If there are 270 people on the

course, (i) how many are male?

(ii) How many are female?

2. A TV costs £750, in the sale it is marked 25% off. How much does it

cost in the sale?


Percentages of amounts

Make up a question in context on percentages.

You must be able to work out the question without the use of a

calculator.



Q2. Find 80% of 36

Q3. Solve 4x - 5 = 27

Q4. Write 4.25 hours in hours and minutes

Q5. Calculate the distance Derek travels if he drives at a speed

of 55mph for 3hours

Today we will be learning how to write fractions as

percentages.

Homework Online due Friday 14.11.14

Writing Fractions as percentages

Fractions as percentages without using a calculator:

Turn the fraction into an equivalent fraction over 100. (This can only work if the denominator is a factor of 100)

What are the factors of 100??


Writing Fractions as percentagesExamples: Write the following fractions as percentages

1. 2.

3. 4.

Questions: Turn these into percentages

Documents

S2 (2.4) L2 Fractions & Percentages.notebook December 02, 2014missdeely.weebly.com/uploads/2/1/3/0/21307444/fractions... · 2018. 9. 9. · S2 (2.4) L2 Fractions & Percentages.notebook