Two of these (3 and 4) are about 'finding all the ways' which is a technique.
Quote:
3. The number 3 can be split in three different ways by adding positive whole numbers together as follows
1+2, 2+1, and 1+1+1
Using the same method, in how many different ways can the number 5 be split?
So for 5:
1 + 1 + 1 + 1 + 1
1 + 1 + 1 + 2
1 + 1 + 2 + 1
1 + 2 + 1 + 1
2 + 1 + 1 + 1 by 'moving the 2' along we get all the ways
repeat for 2, 2 , 1
Quote:
4. There are 4 beads on a necklace, 2 beads are red, 1 bead is green and 1 bead is blue. How many different colour arrangements can be made from the beads?
call the beads R, R, G and B
GBRR
GRBR
GRRB etc
1) ignore the pencils and look at the numbers - we want a number that is one less than a multiple of 2, 3, 4, 5 and 6
2) Again work logically
100 to 200 only one 177
200 to 300
.
.
700 to 800 more 717, 727, .... 771,
Can you sort them out now?