Patterns

Look at the triangular numbers pattern: $1, 3, 6, 10, \dots$. What is the next number?

Identify the next term in the pattern: $30, 60, 90, 120, \dots$

Find the missing number in the sequence: $4, 9, 14, 19, \dots$

What number comes next: $55, 66, 77, 88, \dots$?

In the decreasing sequence $90, 80, 70, 60, \dots$, what is the 9th term?

In the pattern of multiples of 5 ($5, 10, 15, 20, \dots$), what will be the 12th term?

What is the next number in the pattern: $1, 11, 21, 31, \dots$?

If the $n$-th term of a pattern is given by $6n - 1$, what is the 10th term?

Identify the next number in the sequence: $101, 202, 404, 808, \dots$

Find the missing number in the sequence: $5, 11, 17, 23, 29, \dots$

If you rotate the digit '9' by a $\frac{1}{2}$ turn, it looks like which digit?

What is the next number in the pattern: $2, 12, 22, 32, ...$?

Which number pattern follows the rule 'Subtract $6$'?

What is the next shape in the pattern: $\star, \bigcirc, \star, \bigcirc, ...$?

Which of these number patterns is a 'decreasing' pattern?

If you rotate a 'plus' sign ($+$) by $90^\circ$, how does it change?

Find the pattern in the sums: $1+3=4$, $1+3+5=9$, $1+3+5+7=16$. What is the sum of the first $10$ odd numbers?

A pattern of 'Diamond' shapes (rhombuses) is arranged such that they form a large star. If the star has 6 points and is made of identical rhombuses, what are the angles of each rhombus?

A fractal-like pattern starts with a square. In Step 2, 4 smaller squares are added to the corners. In Step 3, 4 even smaller squares are added to the corners of the new squares. How many total squares are there in Step 4?

A pattern of 'L-shapes' grows. Step 1: 3 squares. Step 2: 5 squares. Step 3: 7 squares. If each square has a side of 2 cm, what is the perimeter of the Step 10 shape?

Complete the bottom row of this addition tower: $10$ is the sum of $4$ and $6$, $6$ is the sum of $2$ and $4$. If the base row is $X, 2, 4$, find $X$.

What is the sum of any two opposite numbers across the center in this $3 \times 3$ magic square with magic sum $15$ and center $5$?

In a magic triangle with side sum $12$, if the vertices are $1, 2,$ and $3$, what is the sum of the two middle numbers on the side between vertices $1$ and $2$?

Find the missing number in the sequence that forms a triangular pattern: $1, 3, 6, 10, ?, 21$.

A magic triangle is formed using the numbers 1, 2, 3, 4, 5, and 6. In this triangle, the sum of the numbers on each of the three sides is equal to 10. Given the numbers already placed in the diagram, find the value of $X$.

In the magic square below, the sum of numbers in each row and column is $18$. Find the missing value $k$.

In a magic triangle using numbers $1$ to $6$, the side sum is $9$. If the vertex numbers are $1, 2,$ and $3$, what are the middle numbers?

A 'Magic Star' is formed by two overlapping triangles. If the sum of the four numbers on every straight line is 26, and a line has numbers 8, 3, 5, and $x$, find $x$.

The following magic square uses numbers such that the sum of each row is 34. Find the missing value $k$ in the second row: Row 1: [1, 14, 15, 4], Row 2: [12, 7, 6, $k$].

In a $3 \times 3$ magic square, the sum of any diagonal is equal to the magic sum. If the diagonal elements are $a, 7, 10$ and the magic sum is 21, what is the value of $a$?