Magic Circle Addition to Make Each Line have same Sum

Name Grade School
Date Questions10 Score

example
Use the numbers 2, 7, 1, 5, 3 & 8 to fill in the blanks of magic circle to have 15 as a sum of numbers in any straight line of this given magic circle.
2
7
1
5
9
3
8
1
Use the numbers 15, 17, 16, 34, 35 & 33 to fill in the blanks of magic circle to have 74 as a sum of numbers in any straight line of this given magic circle.
24
2
Arrange the numbers 3, 5, 4, 10, 11 & 9 to have 20 as a sum of numbers in any straight line of this given magic circle.
6
3
Use the numbers 7, 9, 8, 18, 19 & 17 to fill in the blanks of magic circle to have 38 as a sum of numbers in any straight line of this given magic circle.
12
4
Arrange the numbers 2, 4, 3, 7, 8 & 6 to have 14 as a sum of numbers in any straight line of this given magic circle.
4
5
Use the numbers 10, 12, 11, 22, 23 & 21 to fill in the blanks of magic circle to have 49 as a sum of numbers in any straight line of this given magic circle.
16
6
Arrange the numbers 3, 5, 4, 8, 9 & 7 to have 17 as a sum of numbers in any straight line of this given magic circle.
5
7
Use the numbers 19, 21, 20, 42, 43 & 41 to fill in the blanks of magic circle to have 93 as a sum of numbers in any straight line of this given magic circle.
31
8
Arrange the numbers 11, 13, 12, 25, 26 & 24 to have 55 as a sum of numbers in any straight line of this given magic circle.
18
9
Use the numbers 21, 23, 22, 44, 45 & 43 to fill in the blanks of magic circle to have 99 as a sum of numbers in any straight line of this given magic circle.
33
10
Arrange the numbers 5, 7, 6, 12, 13 & 11 to have 26 as a sum of numbers in any straight line of this given magic circle.
8

Answers Key
1
Use the numbers 15, 17, 16, 34, 35 & 33 to fill in the blanks of magic circle to have 74 as a sum of numbers in any straight line of this given magic circle.
15
33
16
24
34
17
35
2
Arrange the numbers 3, 5, 4, 10, 11 & 9 to have 20 as a sum of numbers in any straight line of this given magic circle.
3
9
4
6
10
5
11
3
Use the numbers 7, 9, 8, 18, 19 & 17 to fill in the blanks of magic circle to have 38 as a sum of numbers in any straight line of this given magic circle.
7
17
8
12
18
9
19
4
Arrange the numbers 2, 4, 3, 7, 8 & 6 to have 14 as a sum of numbers in any straight line of this given magic circle.
2
6
3
4
7
4
8
5
Use the numbers 10, 12, 11, 22, 23 & 21 to fill in the blanks of magic circle to have 49 as a sum of numbers in any straight line of this given magic circle.
10
21
11
16
22
12
23
6
Arrange the numbers 3, 5, 4, 8, 9 & 7 to have 17 as a sum of numbers in any straight line of this given magic circle.
3
7
4
5
8
5
9
7
Use the numbers 19, 21, 20, 42, 43 & 41 to fill in the blanks of magic circle to have 93 as a sum of numbers in any straight line of this given magic circle.
19
41
20
31
42
21
43
8
Arrange the numbers 11, 13, 12, 25, 26 & 24 to have 55 as a sum of numbers in any straight line of this given magic circle.
11
24
12
18
25
13
26
9
Use the numbers 21, 23, 22, 44, 45 & 43 to fill in the blanks of magic circle to have 99 as a sum of numbers in any straight line of this given magic circle.
21
43
22
33
44
23
45
10
Arrange the numbers 5, 7, 6, 12, 13 & 11 to have 26 as a sum of numbers in any straight line of this given magic circle.
5
11
6
8
12
7
13

Worksheet for Finding the Sum of Magic Circle (Puzzle)

Magic circle puzzle for addition (15, 43, 52 & more) worksheet with answers to practice & learn 4th grade math problems on patterns is available online for free in printable & downloadable (pdf & image) format. Tap on PRINT, PDF or IMAGE button to print or download this grade-4 worksheet for magic circle for the sum (15, 43, 52 & more) to make each line have the same sum by using the given numbers.

How to Use this Worksheet

In this fourth grade math worksheet, students are required to write the given numbers to make each line have the same sum as like in the given solved example of this online workbook for pattern problems. To solve the magic circle puzzle, students should arrange the numbers to achieve the given sum in any straight line counting. For example, the sum of any 3-circles in a line should be 15 if the magic circle sum is 15. Therefore, the main objective is to find what number should come in centre circle. If the centre number is found, students can plot the remaining numbers in the outer circles in any order.

Answers Key

Teachers, tutors, parents or students can check or validate the completed math workbook containing the 4th grade math questions for writing numbers to make each line of magic circle have the same sum.

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