Patterns math problems

17 problems with worked solutions.

Collections by grade

Grade 1
6 problems

№ 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 1

The numbers are 2, 5, 9, 14. Each increase is one greater than the previous increase. What number comes next?

№ 6 · Patterns · Grade 1

Continue the sequence: 1, 2, 4, 8. What comes next if the number doubles each time?

№ 7 · 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?

№ 8 · Patterns · Grade 2

Continue the sequence: 3, 7, 12, 18. The added number increases by 1 each time. What comes next?

№ 9 · 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?

№ 10 · 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?

№ 11 · Patterns · Grade 3

Continue the sequence of squares: 1, 4, 9, 16, 25, 36. What number comes next?

№ 12 · 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.

№ 13 · Patterns · Grade 4

Continue the sequence: 2, 6, 12, 20, 30. Each term is the product of two neighboring natural numbers. What comes next?

№ 14 · Patterns · Grade 5

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

№ 15 · Patterns · Grade 5

An arithmetic sequence starts at 7, and each next number is 4 greater. What is the twenty-fifth number?

№ 16 · Patterns · Grade 6

Continue the sequence 3, 7, 13, 21, 31. The difference between consecutive numbers increases by 2 each time. What is the next number?

№ 17 · Patterns · Grade 6

The first row of an auditorium has 11 seats. Each following row has 7 more seats than the previous row. How many seats are in the twentieth row?