1. Numeracy Across Learning Inverclyde Academy

2. Multiplication Table 1 2 3 4 5 6 7 8 9 10 11 12 14 16 18 20 22 24 15 21 27 30 33 36 28 32 40 44 48 25 35 45 50 55 60 42 54 66 72 49 56 63 70 77 84 64 80 88 96 81 90 99
108
100
110
120
121
132
144

3. Multiplication Find 39 x 6 Mental Strategies without a calculator
Find 30 x 6 and 9 x 6 then add two answers together
30 x 6 = 180, x 6= 54, = 234

4. Multiplication
Find 42 x 34 Written strategy without a calculator Add altogether =1428 30 4

5. Percentages 1% 5%
10%
20%
25%
𝟑𝟑 𝟏 𝟑 %
50%
100%
𝟏 𝟏𝟎𝟎
𝟏 𝟐𝟎
𝟏 𝟏𝟎
𝟏 𝟓
𝟏 𝟒
𝟏 𝟑
𝟏 𝟐 1
Method 1
Find 20% of £80
80 x 1 5
80 ÷5=£16
Method 2
Find 20% of £80
10% = 80 ÷10
= £8
20% = 2 x 8
= £16

6. Harder Percentages Calculator Method Non-calculator Method
19% of £ e.g 17.5% of £300
= x % ÷ =30
5% 30 ÷ =15
= 0.19 x % 15 ÷ =7.5
= £ % =£52.50

7. Simplifying Fractions
We can sometimes simplify a fraction by finding a highest common factor (a number that fits exactly in and is the highest out them all)
= = ÷3 ÷5 ÷5 ÷3

8. Rounding
( to the nearest whole number) 350 ( to the nearest ten) 300 (to the nearest hundred) ( to 2 decimal places) (to 3 decimal places)
When rounding to 2 decimal places if the 3rd number after the decimal point is 5 or above you round up to the next number. If it is below 5 you keep the 2nd number after the decimal point the same!

9. Measure
Length Weight Volume 10mm 1cm 1000mg 1g 1000ml 1litre 100cm 1metre 1000g 1kg 1000m 1km

10. Adding and Subtracting Integers
Integers just means positive and negative numbers!

11. Adding and Subtracting Integers
3 – = Adding a negative is
4 + (-9) = the same as subtracting!
-7 – = -15
-2 + (-12) = -14
-5 – (-25) = 20 Subtracting a negative is
(-8) – (-9) = 1 the same as adding!

12. Multiplying and Dividing Fractions
(-3) x Same signs = positive answer
54 ÷ −9
(-4) x (-8)
(-12) ÷ −2
- 5 x (25 – 30) Different signs = negative answer
((-8) x 6) ÷3
= -21
= -6
= 32
= 6
= 25
= 16

13. Time Intervals
When working out time difference we will use the Counting on Method. This method will always work Example Find the time difference between hrs and 11 10hrs.
Answer
2 hours + 20 mins + 10 mins =
2 hours and 30 mins
Nearest
hour
Hours
What’s left
20 mins hours mins
8 40 Original time
09 00
11 00
11 10

14. Coordinates Y-axis (vertical) 10 0 along and up 6 (0,6)9 8 7 6 5 4 3 2 1
X-axis (horizontal)