Year 6 Maths facts
Knowing and using number facts
1. Know equivalent decimals, fractions and percentages: 1/2-0.5-50% ¼-0.25-25% ¾-0.75-75% 1/3-0.333-33.333% 1/5-0.2-20%
2. Know that a square number is the result when you multiply a number by itself (49 is a square number because 7 X 7= 49)
3. Know all square numbers less than 100: 1,2,4,9,16,25,36,49,64,81,100
4. Know that a prime number can only by divided by itself and 1 (13 is a prime number because is only in the 1 and 13 times tables)
Know the prime numbers less than 100: 1, 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97
5. Know these tests of divisibility:
|A number is divisible by 2 if the last digit is 0, 2, 4, 6 or 8.||168 is divisible by 2 since the last digit is 8.|
|A number is divisible by 3 if the total of the digits is divisible by 3.||168 is divisible by 3 since the sum of the digits is 15 (1+6+8=15), and 15 is divisible by 3.|
|A number is divisible by 4 if the number formed by the last two digits is divisible by 4.||316 is divisible by 4 since 16 is divisible by 4.|
|A number is divisible by 5 if the last digit is either 0 or 5.||195 is divisible by 5 since the last digit is 5.|
|A number is divisible by 6 if it is divisible by 2 AND it is divisible by 3.||168 is divisible by 6 since it is divisible by 2 AND it is divisible by 3.|
|A number is divisible by 8 if the number formed by the last three digits is divisible by 8.||7,120 is divisible by 8 since 120 is divisible by 8.|
|A number is divisible by 9 if the sum of the digits is divisible by 9.||549 is divisible by 9 since the sum of the digits is 18 (5+4+9=18), and 18 is divisible by 9.|
|A number is divisible by 10 if the last digit is 0.||1,470 is divisible by 10 since the last digit is 0.|
6. Know that the angles in a triangle always total 180 degrees.
7. Know that the angles around a point total 360 degrees.
8. Know that a reflex angle is greater than 180 degrees.
9. Know the properties and name of a dodecahedron: 3D shape- twelve faces that are regular pentagons
10. Know that a rhombus is a parallelogram that has all its sides the same length (a diamond)
11. Know that a kite has two sides of equal length, that touch each other and two longer sides that also touch each other
12. Know that a parallelogram has two pairs of parallel sides but no right angles. Its opposite angles are equal
13. A trapezium has only one pair of parallel sides Rhombus
14. Know that a reflex angle is between 180 and 360 degrees
15. Know that the circumference is the line marking the edge of a circle
16. Know the approximate metric values of imperial units still in everyday use: 1kg= 2.2lb, 1oz = 30g, 4.5l = 1 gallon, 1 pint= 750ml, 8km = 5 miles
17. Know that to convert g-kg, m-km, ml-l and mm-m you divide by 1000
18. Know that to convert mm-cm you divide by 10
19. Know that to convert cm-m you divide by 100
20. Know that the MOde of a set of data is the number which occurs Most Often
(e.g. 4,4,6,7,2,4 from this list of numbers 4 is the mode)
21. Know that the median of a set of data is the middle number when they are placed in order of size
(e.g. 2,4,5,6,7 from this list of numbers 5 is the median)
22. Know that the range of a set of data is the difference between the highest and lowest numbers
(e.g. 2,4,5,6,7 the difference between 2 and 7 is 5, so the range is 5)
IDEAS FOR LEARNING
Shape: You can imagine a rhombus as a ‘squashed square’ and a parallelogram as a ‘squashed rectangle’.
Measures: to practise converting between measures the child could make a set of cards with pairs of equivalent measures on (e.g. 1 pint/750ml). They could then use these to play snap. Another game is pairs- where the cards are turned face down and two are turned over at a time. If a pair is found, the cards are kept by that person.
Data: the median is similar to the word ‘medium’ as in medium sized. Mode: Most Often number.