CALCULATE

PAPER 1 Its all done now, don’t dwell on it too

much or celebrate yet.

PAPER 2… 50% more marks 50% more time

So

Therefore it is crucial in determining your final

grade. Can still assess content that was in paper 1!

TO HELP OVER HALF TERM… Twitter @MAKErevision

Instagram- MAKErevision

Blog- MAKErevision.blogspot.co.uk

This powerpoint will be available on the blog.

TWITTER @MAKEREVISION Poll questions

Ask for help via @MAKErevision

Retweets of corbettmaths and other useful resources

Instagram posts are tweeted.

INSTAGRAM MAKEREVISION Daily questions Higher, Foundation

and Further Maths. Respond to

questions. Ask for help on

questions. Request questions

MAKEREVISION.BLOGSPOT..CO.UK Useful videos

Exam style questions

Links to useful documents and resources.

MAKEREVISION.BLOGSPOT..CO.UK Useful videos

Exam style questions

Links to useful documents and resources.

TODAYWe are going to look through some examples which are typical calculator problems.

There is no guarantee that these topics will come up on paper 2. (Unlike Marty McFly we cannot travel to the future!)

Other topics will come up that do not appear in this list- so revise EVERYTHING!

TIPS FOR OVER HALF TERMRevise EVERYTHING!

Use corbettmaths Complete the 5 a daysFollow Twitter and Instagram and respond to the posts.

Remember this is a calculator paper- so you can use you calculator for every question!

SHARING RATIO- EXAMPLES Share £24 into the ratio 4:2

4 + 2 = 6

£24 ÷ 6 = £4 each

4 x £4 = £16

2 x £4 = £8

SHARING RATIO- QUESTIONS (5 MINS)

3

SHARING RATIO- ANSWERS

99:22 77:33

20:30 60:1403

RATIO- 3 MINS

RATIO ANSWER

7 + 3 = 10

250 ÷ 10 = 25

Males: 25 x 7 = 175

Females: 25 x 3 = 75

RATIO- 3 MINS

RATIO ANSWER

Chloe: Jess4:5

? : 20

20 ÷ 5 = 4 4 x 4 = 16

Chloe gets 16

We will do some worded ratio and

proportion problems after half term.

EXPAND AND SIMPLIFY

Expand and simplify

4(2a + 3) – 2(3a + 5)

8a + 12 – 6a – 10

2a + 2

EXPANDING BRACKETS QUESTIONS- 10 MINS

EXPANDING BRACKETS ANSWERS

10x + 5 + 4x – 414x + 1

8x – 8 + 9x – 617x - 14

16x + 4 - 3x + 313x + 7

9x – 6 + 4x + 213x - 4

15x – 10 - 6x - 49x - 14

9x + 3 + 4x - 413x - 1

AVERAGESMode: The most common event

Median: The middle when in order

Mean: The calculated central value

AVERAGES- 3 MINS

AVERAGES ANSWERS

AVERAGES FROM A TABLE

Goals Freq. Goals x f

0 6 01 6 62 2 43 2 64 0 05 2 106 1 67 1 7

Total 20 39

To calculate the mean:

There are 6 0s, 6 1s, 2 2s, etc, so we can multiply across to make adding quicker!

Then calculate the total and divide by the number of goals.

39 ÷ 20 = 1.95 goals

AVERAGES FROM A TABLE- 5 MINS

AVERAGES FROM GROUPED DATA

Estimate for the mean

2035 ÷ 45

= £37

51525354575

125175

159050

420585450250

1755203535

AVERAGES FROM GROUPED DATA- 5 MINS

AVERAGES FROM GROUPED DATA- 5 MINS

AVERAGES FROM GROUPED DATA- 5 MINS

PROPERTIES OF NUMBERPrime numbers 2, 3, 5, 7, 11, 13, 17, 19, 23, 29….

Square numbers (e.g. 32 = 3 x 3)1, 4, 9, 16, 25, 36, 49, 64, 81, 100

Cube numbers (e.g. 43 = 4 x 4 x 4) 1, 8, 27, 64, 125

PRIME DECOMPOSITION120

2 602 30

1523 5

23 x 3 x 5

QUESTIONSWrite the following as a product of prime factors.

QUESTIONS

TRIAL AND IMPROVEMENT

 

Replace x with 3

  Too low

 1) 2)

𝑥   High or Low

2

Replace x with 2

03   3 Too high

2.5   1.25 Too high2.4   0.96 Too low2.45   1.1025 Too high

ANSWER = 2.4 (1d.p.)

Too low

𝑥 High or Low

3 123.5   15.75 Too high3.4   14.96 Too low3.45   15.3525 Too high

ANSWER = 3.4 (1d.p.)

15

15

x High or Low3 3 - 5 x 3 = 123

4053 xxToo low

4 4 - 5 x 4 = 443 Too high3.5 3.5 - 5 x 3.5 = 25.38 3 Too low3.8 3.8 - 5 x 3.8 = 35.87 3 Too low3.9 3.9 - 5 x 3.9 = 39.82 3 Too low

Replace x with 3

EXAM QUESTION

3.95 3.95 - 5 x 3.95 = 41.88 3 Too low

ANSWER = 3.9 (closest to 40)