1. Functional Maths Revision

2. The Exams Explained Task 1 – Number Task 2 – Measure, Shape & Space
Data Handling
Fractions
Percentages
Ratio
Formula
Measurements
Shapes
Perimeter
Area
Volume
Scale
Presenting Data
Averages
Probability

3. The Pass Marks
Level 1
Level 2
= 62.2%
= 60%

4. Task 1 – Number Skills
Fractions
Percentages
Ratio
Number
Formula

5. “Divide by bottom, times by the top”
Fraction of a number
Find 𝟐 𝟓 of 50
50 ÷ 5 x 2 = 20
“Divide by bottom, times by the top”

6. x = 26.8213 37% of £72.49 = £26.82 Percentage of a number
Percent – “Out of 100”
37% =
𝟑𝟕 𝟏𝟎𝟎 = x
72.49
37% of £ = £26.82

7. Ratio 3 5 8 108 288 180 Share 288 in the ratio 3:5 + : Hint
288 ÷ 8 = 36
x 36
x 36
x 36 +
108
288
180 :

8. Formula (L2 Only)
If a = 3 and b = 6, find the value of C
C= 4𝑎𝑏
C= 15.6
= 4 x 3 x
= =15.6

9. Task 2 – Measure, Shape & Space
Measurements
Shapes
Perimeter
Area
Volume
Scale

10. Measurements 10mm = 1cm 100cm = 1m 1000m = 1km 10ml = 1cl 100cl = 1l
Learn these
10mm = 1cm
100cm = 1m
1000m = 1km
10ml = 1cl
100cl = 1l
1000g = 1kg
1000ml = 1l
1000mg = 1g

11. Tessellation
A Tessellation (or Tiling) is when we cover a surface with a pattern of flat shapes so that there are no overlaps or gaps.

12. Perimeter 15m 5m Perimeter = 15 m + 5 m + 15 m + 5 m = 40 m
The perimeter of a shape is the distance around the outside.
Perimeter
15m 5m
Perimeter =
15 m
+ 5 m
+ 15 m
+ 5 m
= 40 m

13. Area - Rectangle Area = height x width Area = 3 x 5 Area = 15 cm2 5m

14. Area - Triangle Area = ℎ𝑒𝑖𝑔ℎ𝑡 x 𝑤𝑖𝑑𝑡ℎ 2 Area = 4 x 8 2
8 cm
4 cm
Area = ℎ𝑒𝑖𝑔ℎ𝑡 x 𝑤𝑖𝑑𝑡ℎ 2
Area = 4 x 8 2
Area = = 16 cm2

15. Area – Compound Shape Area B = ℎ𝑒𝑖𝑔ℎ𝑡 x 𝑤𝑖𝑑𝑡ℎ 2 = 4 x 4 2
4 cm
8 cm
Area B = ℎ𝑒𝑖𝑔ℎ𝑡 x 𝑤𝑖𝑑𝑡ℎ 2
= 4 x 4 2 A B
= = 8 cm2
Area A = 4x4
= 16cm2
Whole Area =
= 24cm2

16. Circles (L2 only)
Circumference
𝜋 (Pi)
= 3.14
iameter
adius

17. Area = 𝜋r2 Area - Circles (L2 only) 𝜋 = 3.14 Area = 3.14 x 42
= 50.24cm2
8cm

18. Volume Volume = 5 x 8 x 3 = 120 cm3 Area of the face x depth 5 cm 3 cm

19. Scale – small squares
1m ÷ 10 little squares = 0.1m 1m 1m
0.1m or 10cm

20. Task 3 – Data Handling
Presenting Data
Averages
Probability

21. Tables
Earnt
£300
Tax
£60
National Insurance
£4.54
Take Home
£235.56

22. Bar Charts Continuous Scale starts at zero 3 Titles
Gaps between the bars

23. Pie Charts (L2 Only) Walk Bike Car Bus 9 4 17 6 Walk Bike Car Bus 90˚
𝟗 𝟑𝟔 X 360
𝟒 𝟑𝟔 X 360
𝟏𝟕 𝟑𝟔 X 360
𝟔 𝟑𝟔 X 360
Car
Bike
Walk
Bike
Car
Bus
90˚
40˚
170˚
60˚

24. Scatter Graph (L2 Only)
Trend Line or Line of best fit

25. Averages
Hey diddle diddle the median’s the middle, you add and divide for the mean. The mode is the one you see the most, and the range is the difference between.

26. The difference between the highest number and the lowest number.
The Range
The difference between the highest number and the lowest number. 76 22 42 67 33 27
Range = 𝐻𝑖𝑔ℎ𝑒𝑠𝑡 𝑁𝑢𝑚𝑏𝑒𝑟 −𝐿𝑜𝑤𝑒𝑠𝑡 𝑁𝑢𝑚𝑏𝑒𝑟
Range = 76 – 22 = 54

27. The Range – what does this show us
H GH
A high range shows inconsistency in the data, there is a lot of variation.
I NCONSISTENT
L W
CONSISTENT
A low range shows consistency in the data, the numbers are pretty close together.

28. Mean = 𝑇𝑜𝑡𝑎𝑙 𝑜𝑓 𝑡ℎ𝑒 𝑛𝑢𝑚𝑏𝑒𝑟 𝐻𝑜𝑤 𝑚𝑎𝑛𝑦 𝑛𝑢𝑚𝑏𝑒𝑟𝑠
The Mean
divide
Mean = 𝑇𝑜𝑡𝑎𝑙 𝑜𝑓 𝑡ℎ𝑒 𝑛𝑢𝑚𝑏𝑒𝑟 𝐻𝑜𝑤 𝑚𝑎𝑛𝑦 𝑛𝑢𝑚𝑏𝑒𝑟𝑠 24 22 14 4 20 12
Mean = =
= 96 6
= 16

29. The Median (L2 Only)
Median = Middle Number (when in order) 7 9 27 13 42 11 36 7 9 11 13 27 36 42

30. The Mode (L2 Only)
Mode = Most Occurring 96 84 73 88 68 91
Mode = 84

31. L2 is given a numerical value.
Probability
L1 is described in words.
eg. Impossible, Unlikely, 50/50 chance, Likely, Certain
L2 is given a numerical value.
Probability is given as a fraction, decimal or percentage.

32. Probability – L2
A bag contains 9 blue marbles, 5 red marbles and 6 green marbles. What’s the probability of selecting a blue marble from the bag?
Fraction Or
Percentage
What you want:
How many blue marbles there are
9 20
9 20 x 100 = 45% Or
Total outcomes:
How many marbles there are in total