Patterns math problems

9 problems with worked solutions.

№ 1 · Patterns · Grade 1

Mila strings beads like this: blue, yellow, red, blue again. How many blue beads will be among the first 17?

№ 2 · Patterns · Grade 1

On the cards they wrote the numbers 4, 7, 10, 13. What number should be written next if the rule does not change?

№ 3 · Patterns · Grade 1

The flags are hung according to the rule: green, green, white. Then the order is repeated. How many white flags are there among the first 14?

№ 4 · Patterns · Grade 1

In the number chain it is written: 1, 3, 6, 10. Each time they add one more than the last time. What number will be next?

№ 5 · Patterns · Grade 2

Continue the sequence 5, 9, 17, 33. Each number is obtained from the preceding number by the same rule. What number comes next?

№ 6 · Patterns · Grade 3

The sequence begins with the numbers 2, 5, 11, 23. Each time the previous number is doubled and 1 is added. What number is next?

№ 7 · Patterns · Grade 3

A series of numbers is given: 3, 7, 15, 31. Each new number is obtained according to one rule. What number should come next?

№ 8 · Patterns · Grade 4

For a two-digit number, the tens digit is twice the units digit, and the sum of the digits is 9. Find the number.

№ 9 · Patterns · Grade 5

In the sequence 7, 12, 17, 22, each next number is 5 more. What is the twentieth term?