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Math challenges for the critical Thinker

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Magic Shapes #1

Directions: Write the numbers 1 through 6, using each number once, in the six circles below so that each side of the triangle ...

adds up to 9 adds up to 10A B

adds up to 11 adds up to 12C D

Magic Shapes #1

Math challenges for the critical Thinker

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The 1 has

been placed.

Magic Shapes #2

Directions: Write the numbers 1 through 9, using each number once, in the nine circles below so that each side of the triangle ...

adds up to 20 adds up to 20A B

adds up to 20 adds up to 20C D

The 3 has

been placed.

The 8 has

been placed.

The 6 has

been placed.

Magic Shapes #2

83

6 1

Math challenges for the critical Thinker

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Magic Shapes #3

Directions: Write the numbers 1 through 9, using each number once, in the nine circles below so that the five circles in each diagonal ...

add up to 23 add up to 24 A B

add up to 25 add up to 26C D

Magic Shapes #3

Math challenges for the critical Thinker

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Magic Shapes #4

Directions: Write the numbers 1 through 9, using each number once, in the nine circles below so that ...

Three circles

in a line add up to

18.

Three circles in a line add

up to

15.

A

B

Magic Shapes #4

Math challenges for the critical Thinker

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Sum of 50

Directions: In the four problems below, your goal is to add any 5 numbers so that your sum is 50. Find three sets of 5 numbers that total 50 in each of the problems, and record your answers in the spaces provided.

15 + 23 + 24 + 7 + 19 + 17 + 5 + 6 + 16 + 9

+ 12 + 1 + 9

+ + + + = 50

+ + + + = 50

+ + + + = 50

A

32 + 18 + 6 + 35 + 27 + 14 + 4 + 2 + 29 + 9 + 17 + 19 + 20

+ + + + = 50

+ + + + = 50

+ + + + = 50

B

19 + 10 + 22 + 3 + 12 + 21 + 6 + 5 + 7 + 32

+ 24 + 14 + 4

+ + + + = 50

+ + + + = 50

+ + + + = 50

C

5 + 15 + 17 + 28 + 18 + 8 + 7 + 4 + 3 + 2 + 29 + 24 + 5

+ + + + = 50

+ + + + = 50

+ + + + = 50

D

Sum of 50

Math challenges for the critical Thinker

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Sum of 75

Directions: In the four problems below, your goal is to add any 5 numbers so that your sum is 75. Find three sets of 5 numbers that total 75 in each of the problems, and record your answers in the spaces provided.

21 + 23 + 30 + 8 + 6 + 17 + 18 + 11 + 12 + 26

+ 15 + 14 + 10 + 16

+ + + + = 75

+ + + + = 75

+ + + + = 75

A

31 + 17 + 16 + 22 + 12 + 9 + 13 + 27 + 8 + 24 + 5 + 6 + 19 + 23

+ + + + = 75

+ + + + = 75

+ + + + = 75

B

14 + 9 + 12 + 8 + 7 + 16 + 17 + 23 + 21 + 27

+ 20 + 6 + 15 + 4

+ + + + = 75

+ + + + = 75

+ + + + = 75

C

15 + 21 + 13 + 9 + 6 + 4 + 12 + 17 + 22 + 8

+ 16 + 20 + 19 + 18

+ + + + = 75

+ + + + = 75

+ + + + = 75

D

Sum of 75

Math challenges for the critical Thinker

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Sum of 100

Directions: In the four problems below, your goal is to add any 5 numbers so that your sum is 100. Find three sets of 5 numbers that total 100 in each of the problems, and record your answers in the spaces provided.

14 + 11 + 19 + 12 + 24 + 21 + 32 + 35 + 17 + 18

+ 33 + 15 + 13 + 29

+ + + + = 100

+ + + + = 100

+ + + + = 100

A

16 + 4 + 14 + 24 + 25 + 33 + 32 + 27 + 34 + 36

+ 18 + 13 + 22 + 10

+ + + + = 100

+ + + + = 100

+ + + + = 100

B

20 + 23 + 15 + 26 + 31 + 19 + 16 + 27 + 32 + 33

+ 12 + 17 + 8 + 13

+ + + + = 100

+ + + + = 100

+ + + + = 100

C

14 + 12 + 18 + 17 + 28 + 23 + 15 + 13 + 25 + 26

+ 32 + 33 + 27 + 37

+ + + + = 100

+ + + + = 100

+ + + + = 100

D

Sum of 100

Math challenges for the critical Thinker

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Mathecrostics #1

Mathecrostics #1

Directions: In these problems, you are provided with the answers. your task is to make up mathematically correct number sentences using the numbers 1 through 9 that will yield the given answers both horizontally and vertically. numbers can be used more than once.

A X – = 6

+

–

–

–

X

= 2

= 3

= 6 = 4 = 5

x

÷

÷

–

X

B + – = 7

X

–

+ X

= 2

= 4

= 5 = 5 = 3

X

–

÷

+

÷ –

Math challenges for the critical Thinker

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Mathecrostics #2

Mathecrostics #2

Directions: In these problems, you are provided with the answers. your task is to make up mathematically correct number sentences using the numbers 1 through 9 that will yield the given answers both horizontally and vertically. numbers can be used more than once.

B X ÷ = 6

X

–

– +

= 7

= 2

= 3 = 7 = 5

+

+

+

+

÷ –

A ÷ + = 7

÷

–

÷

+

X +

= 7

= 3

= 1 = 4 = 4

—

÷

X

X

Math challenges for the critical Thinker

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Mathecrostics #3

Directions: In these problems, you are provided with the answers. your task is to make up mathematically correct number sentences using the numbers 1 through 9 that will yield the given answers both horizontally and vertically. numbers can be used more than once.

Mathecrostics #3

A X ÷ = 8

+

–

–

X

+ X

= 6

= 8

= 9 = 5 = 2

÷

—

X

÷

B X ÷ = 9

÷

÷

+ X

= 2

= 2

= 9 = 8 = 3

X

—

–

X

+ –

Math challenges for the critical Thinker

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Mathecrostics #4

Directions: In these problems, you are provided with the answers. your task is to make up mathematically correct number sentences using the numbers 1 through 9 that will yield the given answers both horizontally and vertically. numbers can be used more than once.

Mathecrostics #4

A X ÷ = 4

X

X

–

+

X X

= 4

= 4

= 5 = 2 = 3

–

÷

–

–

B – – = 2

+

+

– X

= 6

= 2

= 4 = 9 = 4

–

+

X

–

– ÷