Math playing cards

Abstract

Decks of addition, subtraction, multiplication, division, and number recognition playing cards cover all the numbers generally employed in teaching children basic addition, subtraction, multiplication, division, and number recognition skills and are suitable for use in playing a variety of well know card games such as War, Concentration, Old Maid, Go Fish, Rummy, Gin Rummy, 21, and Spit.

What is claimed is:  
     
         1 . A deck comprising N playing cards, where: 
 a. each playing card comprises a playing face and a rear face;    b. each playing face displays graphics;    c. the graphics displayed on any particular playing face of any particular playing card comprises a representation of a single mathematical operation having a numerical value; and    d. the mathematical operation is selected from the group consisting of addition, subtraction, multiplication, and division, where: 
 i. when the mathematical operation is an addition operation, at least each of the following addition operations is displayed on the playing faces of the playing cards:: 1+1, A a +B a ; 2+1, A b +B b ; 1+3, 2+2; 1+4, 2+3; 1+5, 2+4, 3+3, A e +B e ; 1+6, 2+5, 3+4, A f +B f ; 1+7, 2+6, 4+4, 3+5; 1+8, 2+7, 3+6, 4+5; 1+9, 2+8, 3+7, 4+6, 5+5, A i +B i ; 1+10, 2+9, 3+8, 4+7, 5+6, A j +B j ; 2+10, 3+9, 4+8, 5+7, 6+6, A k +B k ; 3+10, 4+9, 5+8, 6+7; 4+10, 5+9, 6+8, 7+7; 5+10, 6+9, 7+8, A n +B n ; 6+10. 7+9, 8+8, A o +B o ; 7+10, 8+9; 8+10, 9+9; 9+10, A r +B r ; 10+10, and A s +B s ;  
 A a +B a  is selected from the group consisting of 1+1 and 2+0;  
 A b +B b  is selected from the group consisting of 1+2 and 3+0;  
 A e +B e  is selected from the group consisting of 5+1, 4+2, 6+0;  
 A f +B f  is selected from the group consisting of 6+1, 5+2, 4+3, and 7+0;  
 A i +B i  is selected from the group consisting of 9+1, 8+2, 7+3, 6+4, and 10+0;  
 A j +B j  is selected from the group consisting of 10+1, 9+2, 8+3, 7+4, 6+5, and 11+0;  
 A k +B k  is selected from the group consisting of 10+2, 9+3, 8+4, 7+5, and 12+0;  
 A n +B n  is selected from the group consisting of 10+5, 9+6, 8+7, and 15+0;  
 A o +B o  is selected from the group consisting of 10+6, 9+7, and 16+0;  
 A r +B r  is selected from the group consisting of 10+9 and 19+0; and  
 A s +B s  is selected from the group consisting of 10+10 and 20+0; and  
 N is at least 66;  
 ii. when the mathematical operation is a subtraction operation, at least each of the following subtraction operations is displayed on the playing faces of the playing cards:2−1, 3−2, 4−3, 5−4, 6−5, 7−6, 8−7, 9−10, 11−10; 3−1, 4−2, 5−3, 6−4, 7−5, 8−6, 9−7, 10−8, 11−9, 12−10; 4−1, 5−2, 6−3, 7−4, 8−5, 9−6, 10−7, 11−8, 12−9; 13−10; 5−1, 6−2, 7−3, 8−4, 9−5, 10−6, 11−7, 12−8, 13−9; 14−10; 6−1, 7−2, 8−3, 9−4, 10−5, 11−6, 12−7, 13−8, 14−9; 15−10; 7−1, 8−2, 9−3, 10−4, 11−5, 12−6, 13−7, 14−8, 15−9; 16−10; 8−1, 9−2, 10−3, 11−4, 12−5, 13−6, 14−7, 15−8, 16−9; 17−10; 9−1, 10−2, 11−3, 12−4, 13−5, 14−6, 15−7, 16−8, 17−9; 18−10; 10−1, 11−2, 12−3, 13−4, 14−5, 15−6, 16−7, 17−8, 18−9; 19−10; 11−1, 12−2, 13−3, 14−4, 15−5, 16−6, 17−7, 18−8, 19−9, and 20−10; and  
 N is at least 100;  
 iii. when the mathematical operation is a multiplication operation, at least each of the following multiplication operations is displayed on the playing faces of the playing cards: 1×1, 1×1; 2×1, 1×2; 3×1, 1×3; 4×1, 2×2; 5×1, 1×5; 6×1, 3×2; 7×1, 1×7; 8×1, 4×2; 9×1, 3×3; 10×1, 5×2; 6×2, 4×3; 7×2, 2×7; 5×3, 3×5; 8×2, 4×4; 9×2, 6×3; 10×2, 5×4; 7×3, 3×7; 8×3, 6×4; 5×5, 5×5; 9×3, 3×9; 7×4, 4×7; 10×3, 6×5; 8×4, 4×8; 7×5, 5×7; 9×4, 6×6; 10×4, 8×5; 7×6, 6×7; 9×5, 5×9; 8×6, 6×8; 7×7, 7×7; 10×5, 5×10; 9×6, 6×9; 8×7, 7×8; 10×6, 6×10; 9×7, 7×9; 8×8, 8×8; 10×7, 7×10; 9×8, 8×9; 10×8, 8×10; 9×9, 9×9; 10×9, 9×10; and 10×10, and 10×10; and  
 N is at least 84; and  
 iv. when the mathematical operation is a division operation, at least each of the following division operations is displayed on the playing faces of the playing cards: 1÷1, 2÷2, 3÷3, 4÷4, 5÷5, 6÷6, 7÷7, 8÷8, 9÷9, 10÷10; 2÷1, 4÷2, 6÷3, 8÷4, 10÷5, 12÷6, 14÷7, 16÷8, 18÷9, 20÷10; 3÷1, 6÷2, 9÷3, 12÷4, 15÷5, 18÷6, 21÷7, 24÷8, 27÷9, 30÷10; 4÷1, 8÷2, 12÷3, 14÷4, 20÷5, 24÷6, 28÷7, 32÷8, 36÷9, 40÷10; 5÷1, 10÷2, 15÷3, 20÷4, 25÷5, 30÷6, 35÷7, 40÷8, 45÷9, 50÷10; 6÷1, 12÷2, 18÷3, 24÷4, 30÷5, 36÷6, 42÷7, 48÷8, 54÷9, 60÷10; 7÷1, 14÷2, 21÷3, 28÷4, 35÷5, 42÷6, 49÷7, 56÷8, 63÷9, 70÷10; 8÷1, 16÷2, 24÷3, 32÷4, 40÷5, 48÷6, 56÷7, 64÷8, 72÷9, 80÷10; 9÷1, 18÷2, 27÷3, 36÷4, 45÷5, 54÷6, 63÷7, 72÷8, 81÷9, 90÷10; 10÷1, 20÷2, 30÷3, 40÷4, 50÷5, 60÷6, 70÷7, 80÷8, 90÷9, and 100÷10; and  
 N is at least 100.  
   
     
     
         2 . The deck of  claim 1  where: 
 the mathematical operation is an addition operation;  
 at least each of the following addition operations is displayed on the playing faces of the playing cards: 1+1, A a +B a ; 2+1, A b +B b ; 1+3, 2+2; 1+4, 2+3; 1+5, 2+4, 3+3, A e +B e ; 1+6, 2+5, 3+4, A f +B f ; 1+7, 2+6, 4+4, 3+5; 1+8, 2+7, 3+6, 4+5; 1+9, 2+8, 3+7, 4+6, 5+5, A i +B i ; 1+10, 2+9, 3+8, 4+7, 5+6, A j +B j ; 2+10, 3+9, 4+8, 5+7, 6+6, A k +B k ; 3+10, 4+9, 5+8, 6+7; 4+10, 5+9, 6+8, 7+7; 5+10, 6+9, 7+8, A n +B n ; 6+10. 7+9, 8+8, A o +B o ; 7+10, 8+9; 8+10, 9+9; 9+10, A r +B r ; 10+10, and A s +B s ;  
 A a +B a  is selected from the group consisting of 1+1 and 2+0;  
 A b +B b  is selected from the group consisting of 1+2 and 3+0;  
 A e +B e  is selected from the group consisting of 5+1, 4+2, 6+0;  
 A f +B f  is selected from the group consisting of 6+1, 5+2, 4+3, and 7+0;  
 A i +B i  is selected from the group consisting of 9+1, 8+2, 7+3, 6+4, and 10+0;  
 A j +B j  is selected from the group consisting of 10+1, 9+2, 8+3, 7+4, 6+5, and 11+0;  
 A k +B k  is selected from the group consisting of 10+2, 9+3, 8+4, 7+5, and 12+0;  
 A n +B n  is selected from the group consisting of 10+5, 9+6, 8+7, and 15+0;  
 A o +B o  is selected from the group consisting of 10+6, 9+7, and 16+0;  
 A r +B r  is selected from the group consisting of 10+9 and 19+0;  
 A s +B s  is selected from the group consisting of 10+10 and 20+0; and  
 N is at least 66.  
 
     
     
         3 . The deck of  claim 1  where: 
 the mathematical operation is a subtraction operation;  
 at least each of the following subtraction operations is displayed on the playing faces of the playing cards: 2−1, 3−2, 4−3, 5−4, 6−5, 7−6, 8−7, 9−10, 11−10; 3−1, 4−2, 5−3, 6−4, 7−5, 8−6, 9−7, 10−8, 11−9, 12−10; 4−1, 5−2, 6−3, 7−4, 8−5, 9−6, 10−7, 11−8, 12−9; 13−10; 5−1, 6−2, 7−3, 8−4, 9−5, 10−6, 11−7, 12−8, 13−9; 14−10; 6−1, 7−2, 8−3, 9−4, 10−5, 11−6, 12−7, 13−8, 14−9; 15−10; 7−1, 8−2, 9−3, 10−4, 11−5, 12−6, 13−7, 14−8, 15−9; 16−10; 8−1, 9−2, 10−3, 11−4, 12−5, 13−6, 14−7, 15−8, 16−9; 17−10; 9−1, 10−2, 11−3, 12−4, 13−5, 14−6, 15−7, 16−8, 17−9; 18−10; 10−1, 11−2, 12−3, 13−4, 14−5, 15−6, 16−7, 17−8, 18−9; 19−10; 11−1, 12−2, 13−3, 14−4, 15−5, 16−6, 17−7, 18−8, 19−9, and 20−10; and  
 N is at least 100.  
 
     
     
         4 . The deck of  claim 1  where: 
 the mathematical operation is a subtraction operation;  
 at least each of the following subtraction operations is displayed on the playing faces of the playing cards: 2−1, 3−2, 4−3, 5−4, 6−5, 7−6, 8−7, 9−10, 11−10; 3−1, 4−2, 5−3, 6−4, 7−5, 8−6, 9−7, 10−8, 11−9, 12−10; 4−1, 5−2, 6−3, 7−4, 8−5, 9−6, 10−7, 11−8, 12−9; 13−10; 5−1, 6−2, 7−3, 8−4, 9−5, 10−6, 11−7, 12−8, 13−9; 14−10; 6−1, 7−2, 8−3, 9−4, 10−5, 11−6, 12−7, 13−8, 14−9; 15−10; 7−1, 8−2, 9−3, 10−4, 11−5, 12−6, 13−7, 14−8, 15−9; 16−10; 8−1, 9−2, 10−3, 11−4, 12−5, 13−6, 14−7, 15−8, 16−9; 17−10; 9−1, 10−2, 11−3, 12−4, 13−5, 14−6, 15−7, 16−8, 17−9; 18−10; 10−1, 11−2, 12−3, 13−4, 14−5, 15−6, 16−7, 17−8, 18−9; 19−10; 11−1, 12−2, 13−3, 14−4, 15−5, 16−6, 17−7, 18−8, 19−9, and 20−10; and  
 the deck further comprises playing cards whose playing faces display the subtraction operations C 1 −C 1  and C 2 −C 2 ;  
 C 1  is any number;  
 C 2  is any number; and  
 N is at least 102.  
 
     
     
         5 . The deck of  claim 1  where: 
 the mathematical operation is a subtraction operation;  
 at least each of the following subtraction operations is displayed on the playing faces of the playing cards: 2−1, 3−2, 4−3, 5−4, 6−5, 7−6, 8−7, 9−10, 11−10; 3−1, 4−2, 5−3, 6−4, 7−5, 8−6, 9−7, 10−8, 11−9, 12−10; 4−1, 5−2, 6−3, 7−4, 8−5, 9−6, 10−7, 11−8, 12−9; 13−10; 5−1, 6−2, 7−3, 8−4, 9−5, 10−6, 11−7, 12−8, 13−9; 14−10; 6−1, 7−2, 8−3, 9−4, 10−5, 11−6, 12−7, 13−8, 14−9; 15−10; 7−1, 8−2, 9−3, 10−4, 11−5, 12−6, 13−7, 14−8, 15−9; 16−10; 8−1, 9−2, 10−3, 11−4, 12−5, 13−6, 14−7, 15−8, 16−9; 17−10; 9−1, 10−2, 11−3, 12−4, 13−5, 14−6, 15−7, 16−8, 17−9; 18−10; 10−1, 11−2, 12−3, 13−4, 14−5, 15−6, 16−7, 17−8, 18−9; 19−10; 11−1, 12−2, 13−3, 14−4, 15−5, 16−6, 17−7, 18−8, 19−9, and 20−10; and  
 the deck further comprises playing cards whose playing faces display the subtraction operations C 1 −0 and C 1 −0;  
 C 1  is any number; and  
 N is at least 102.  
 
     
     
         6 . The deck of  claim 1  where: 
 the mathematical operation is a multiplication operation;  
 at least each of the following multiplication operations is displayed on the playing faces of the playing cards: 1×1, 1×1; 2×1, 1×2; 3×1, 1×3; 4×1, 2×2; 5×1, 1×5; 6×1, 3×2; 7×1, 1×7; 8×1, 4×2; 9×1, 3×3; 10×1, 5×2; 6×2, 4×3; 7×2, 2×7; 5×3, 3×5; 8×2, 4×4; 9×2, 6×3; 10×2, 5×4; 7×3, 3×7; 8×3, 6×4; 5×5, 5×5; 9×3, 3×9; 7×4, 4×7; 10×3, 6×5; 8×4, 4×8; 7×5, 5×7; 9×4, 6×6; 10×4, 8×5; 7×6, 6×7; 9×5, 5×9; 8×6, 6×8; 7×7, 7×7; 10×5, 5×10; 9×6, 6×9; 8×7, 7×8; 10×6, 6×10; 9×7, 7×9; 8×8, 8×8; 10×7, 7×10; 9×8, 8×9; 10×8, 8×10; 9×9, 9×9; 10×9, 9×10; and 10×10, and 10×10; and  
 N is at least 84.  
 
     
     
         7 . The deck of  claim 1  where: 
 the mathematical operation is a multiplication operation;  
 at least each of the following multiplication operations is displayed on the playing faces of the playing cards: 1×1, 1×1; 2×1, 1×2; 3×1, 1×3; 4×1, 2×2; 5×1, 1×5; 6×1, 3×2; 7×1, 1×7; 8×1, 4×2; 9×1, 3×3; 10×1, 5×2; 6×2, 4×3; 7×2, 2×7; 5×3, 3×5; 8×2, 4×4; 9×2, 6×3; 10×2, 5×4; 7×3, 3×7; 8×3, 6×4; 5×5, 5×5; 9×3, 3×9; 7×4, 4×7; 10×3, 6×5; 8×4, 4×8; 7×5, 5×7; 9×4, 6×6; 10×4, 8×5; 7×6, 6×7; 9×5, 5×9; 8×6, 6×8; 7×7, 7×7; 10×5, 5×10; 9×6, 6×9; 8×7, 7×8; 10×6, 6×10; 9×7, 7×9; 8×8, 8×8; 10×7, 7×10; 9×8, 8×9; 10×8, 8×10; 9×9, 9×9; 10×9, 9×10; and  10 × 10 , and 10×10; and  
 the deck further comprises playing cards whose playing faces display the multiplication operations C 1 ×0 and C 2 ×0;  
 C 1  is any number;  
 C 2  is any number; and  
 N is at least 86.  
 
     
     
         8 . The deck of  claim 1  where: 
 the mathematical operation is a division operation;  
 at least each of the following division operations is displayed on the playing faces of the playing cards: 1÷1, 2÷2, 3÷3, 4÷4, 5÷5, 6÷6, 7÷7, 8÷8, 9÷9, 10÷10; 2÷1, 4÷2, 6÷3, 8÷4, 10÷5, 12÷6, 14÷7, 16÷8, 18÷9, 20÷10; 3÷1, 6÷2, 9÷3, 12÷4, 15÷5, 18÷6, 21÷7, 24÷8, 27÷9, 30÷10; 4÷1, 8÷2, 12÷3, 14÷4, 20÷5, 24÷6, 28÷7, 32÷8, 36÷9, 40÷10; 5÷1, 10÷2, 15÷3, 20÷4, 25÷5, 30÷6, 35÷7, 40÷8, 45÷9, 50÷10; 6÷1, 12÷2, 18÷3, 24÷4, 30÷5, 36÷6, 42÷7, 48÷8, 54÷9, 60÷10; 7÷1, 14÷2, 21÷3, 28÷4, 35÷5, 42÷6, 49÷7, 56÷8, 63÷9, 70÷10; 8÷1, 16÷2, 24÷3, 32÷4, 40÷5, 48÷6, 56÷7, 64÷8, 72÷9, 80÷10; 9÷1, 18÷2, 27÷3, 36÷4, 45÷5, 54÷6, 63÷7, 72÷8, 81÷9, 90÷10; 10÷1, 20÷2, 30÷3, 40÷4, 50÷5, 60÷6, 70÷7, 80÷8, 90÷9, and 100÷10; and  
 N is at least 100.  
 
     
     
         9 . The deck of  claim 1  where: 
 the mathematical operation is a division operation;  
 at least each of the following division operations is displayed on the playing faces of the playing cards: 1÷1, 2÷2, 3÷3, 4÷4, 5÷5, 6÷6, 7÷7, 8÷8, 9÷9, 10÷10; 2÷1, 4÷2, 6÷3, 8÷4, 10÷5, 12÷6, 14÷7, 16÷8, 18÷9, 20÷10; 3÷1, 6÷2, 9÷3, 12÷4, 15÷5, 18÷6, 21÷7, 24÷8, 27÷9, 30÷10; 4÷1, 8÷2, 12÷3, 14÷4, 20÷5, 24÷6, 28÷7, 32÷8, 36÷9, 40÷10; 5÷1, 10÷2, 15÷3, 20÷4, 25÷5, 30÷6, 35÷7, 40÷8, 45÷9, 50÷10; 6÷1, 12÷2, 18÷3, 24÷4, 30÷5, 36÷6, 42÷7, 48÷8, 54÷9, 60÷10; 7÷1, 14÷2, 21÷3, 28÷4, 35÷5, 42÷6, 49÷7, 56÷8, 63÷9, 70÷10; 8÷1, 16÷2, 24÷3, 32÷4, 40÷5, 48÷6, 56÷7, 64÷8, 72÷9, 80÷10; 9÷1, 18÷2, 27÷3, 36÷4, 45÷5, 54÷6, 63÷7, 72÷8, 81÷9, 90÷10; 10÷1, 20÷2, 30÷3, 40÷4, 50÷5, 60÷6, 70÷7, 80÷8, 90÷9, and 100÷10; and  
 the deck further comprises playing cards whose playing faces display the division operations 0÷B 1  and 0÷B 2 ;  
 B 1  is any number;  
 B 2  is any number; and  
 N is at least 102.  
 
     
     
         10 . The deck of  claim 1  further comprising at least one card selected from the group consisting of joker, instructional, reference, any other non-playing card, and combinations thereof.  
     
     
         11 . The deck of  claim 1  where: 
 each playing card has four corners and  
 the graphics are displayed in the upright position on the playing face of each playing card.  
 
     
     
         12 . The deck of  claim 1  where: 
 each playing card has four corners;  
 the graphics are displayed in the upright position in the upper left hand corner, the upper right hand corner, and the body of the playing face of each playing card.  
 
     
     
         13 . A deck of playing cards comprising a first set of playing cards and a second set of playing cards, where: 
 a. each playing card of each set comprises a playing face and a rear face;    b. the playing face of each playing card of the first set displays graphics comprising a pictorial indicia of a numerical value;    c. the playing face of each playing card of the second set displays graphics comprising a symbolic indicia of a numerical value; and    d. the pictorial indicia of numerical value displayed on any particular playing face of any particular playing card of the first set of playing cards has a corresponding symbolic indicia of identical numerical value displayed on a playing face of one playing card of the second set of playing cards.    
     
     
         14 . The deck of  claim 13  where: 
 the playing face of each playing card of the first set displays a pictorial indicia of unique numerical value within the first set of playing cards and  
 the playing face of each playing card of the second set displays a symbolic indicia of unique numerical value within the second set of playing cards.  
 
     
     
         15 . The deck of  claim 13  where: 
 the first set of playing cards comprises at least 10 playing cards and the unique numerical value of the pictorial indicia displayed on any particular playing face of any particular playing card of the first set of playing cards is within the range of at least whole numbers 1 through 10; and  
 the second set of playing cards comprises at least 10 playing cards and the unique numerical value of the symbolic indicia displayed on any particular playing face of any particular playing card of the first set of playing cards is within the range of at least whole numbers 1 through 10.  
 
     
     
         16 . The deck of  claim 13  where: 
 the first set of playing cards comprises at least 11 playing cards and the unique numerical value of the pictorial indicia displayed on any particular playing face of any particular playing card of the first set of playing cards is within the range of at least whole numbers 0 through 10; and  
 the second set of playing cards comprises at least 11 playing cards and the unique numerical value of the symbolic indicia displayed on any particular playing face of any particular playing card of the first set of playing cards is within the range of at least whole numbers 0 through 10.  
 
     
     
         17 . The deck of  claim 13  where: 
 the first set of playing cards comprises at least 13 playing cards and the unique numerical value of the pictorial indicia displayed on any particular playing face of any particular playing card of the first set of playing cards is within the range of at least whole numbers 0 through 12; and  
 the second set of playing cards comprises at least 13 playing cards and the unique numerical value of the symbolic indicia displayed on any particular playing face of any particular playing card of the first set of playing cards is within the range of at least whole numbers 0 through 12.  
 
     
     
         18 . The deck of  claim 13  further comprising a third set of playing cards and a fourth set of playing cards, where: 
 e. the playing face of each playing card of the third set displays graphics comprising a pictorial indicia of a numerical value;  
 f. the playing face of each playing card of the fourth set displays graphics comprising a symbolic indicia of a numerical value; and  
 g. the pictorial indicia of numerical value displayed on any particular playing face of any particular playing card of the third set of playing cards has a corresponding symbolic indicia of the identical numerical value displayed on a playing face of one playing card of the second and fourth sets of playing cards.  
 
     
     
         19 . The deck of  claim 13  where: 
 each playing card has four corners and the graphics are displayed in the upright position on the playing face of each playing card.  
 
     
     
         20 . The deck of  claim 13  further comprising at least one card selected from the group consisting of joker, instructional, reference, any other non-playing card, and combinations thereof.