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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:

Divisibility Tests Example
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.

 

Understanding Shape

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

 

Measures

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

 

Data Handling

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.

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