Number Sequence Problems
 How many matches to make seven houses like this:
1 house

2 houses

3 houses

4 houses

5 houses

6 houses

7 houses

5

9

13

17

21

25

29

You need to add 4 matches. Rule: adding 4
2. How many pegs are needed to hold 12 towels on the line?
1 Towel

2 Towel

3 Towel

4 Towel

5 Towel

6 Towel

2 pegs

3 pegs

4 pegs

5 pegs

6 pegs

7 pegs

7 Towel

8 Towel

9 Towel

10 Towel

11 Towel

12 Towel

8 pegs

9 pegs

10 pegs

11 pegs

12 pegs

13 pegs

You need to add 13 pegs to hold 12 towels. What is the rule? Adding 1
3. How many sticks are needed to make 10 diamonds:
1 Diamond

2 Diamond

3 Diamond

4 Diamond

5 Diamond

4 sticks

8 sticks

12 sticks

16 sticks

20 sticks

6 Diamond

7 Diamond

8 Diamond

9 Diamond

10 Diamond

24 sticks

28 sticks

32 sticks

36 sticks

40 sticks

You need 40 sticks to make 10 diamonds. What is the rule? Adding 4
4. How many sticks needed to make 12 triangles (t):
1 t

2 t

3 t

4 t

5 t

6 t

3 sticks

5 sticks

7 sticks

9 sticks

11 sticks

13 sticks

7 t

8 t

9 t

10 t

11 t

12 t

15 sticks

17 sticks

19 sticks

21 sticks

23 sticks

25 sticks

You need 25 to make 12 triangles. What is the rule? Adding 2
5. How many sticks will be needed to finish the following pattern of 6?
Shape 1

Shape 2

Shape 3

Shape 4

Shape 5

Shape 6

1 sticks

2 sticks

3 sticks

4 sticks

5 sticks

6 sticks

You need 6 sticks to make 6 shapes. What is the rule? adding 1
6. Below draw how many apples are needed to make a pile five rows high and fill in the table with your answers?
1 Row

2 Rows

3 Rows

4 Rows

5 Rows

1 Apples

3 Apples

6 Apples

10 Apples

15 Apples

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