HO MATH CHESS SUDOKU PUZZLES SAMPLE WORKSHEETS

棋谜式益智健脑趣味数学展示版

IQ MATH CHESS PUZZLES SAMPLE WORKSHEETS

HO MATH CHESS™ 何数棋谜™ WWW.MATHANDCHESS.COM

FRANK HO, AMANDA HO 2013, ALL RIGHTS RESERVED.

STUDENT NAME: _______________________ ASSIGNMENT DATE: ________________

1

Answer

1. Ho Math Chess Assessment of math basics

22, 6, 9, 23, 11

29, 6, 65, 7, 10

6, 53, 9, 9, 8

2. Assessment of math basics - subtraction

11, 7, 1, 26, 7

38, 2, 8, 18, 13

16, 19, 21, 14, 58

3. Assessment of math basics - subtraction

164, 108, 85, 594, 7

148, 92, 8, 18, 19

26, 109, 223, 14, 158

4. Assessment of mental math from 1 to 10

2 numbers + –

Larger number smaller

number.

(Answer written in fraction

if not divisible.)

__4___, __2___ 6 2 ______ 8 ______ 2

_____, _____6,3 9 ______ 3 18 ______ 2

_____, _____2,1 3 ______ 1 ______ 2 2

_____, _____9, 5 14 ______ ______ 9/5

_____, _____8, 7 15 1 ______56 8/7

_____, _____8,3 ______ 11 5 24 8/3

_____, _____9, 3 12 6 ______ 27 ______ 3

_____, _____6,2 ______ 8 4 12 ______ 3

_____, _____6,8 14 2 ______ 48 8/6=4/3






2

5. Assessment of mental math from 11 to 18

__14_, __5___ 19 9 ______ 70 ______

_____, _____ 16,8 24 ______ 128 ______ 2

_____, _____12,4 ______ 16 ______ 8 48 3

_____, _____17,9 26 8 ______ 153 ______ 17/9

_____, _____18, 9 ______ 27 9 ______ 162 2

_____, _____11,7 18 4 ______ 77 ______ 11/7

_____, _____13, 5 18 8 ______ 65 ______ 13/5

_____, _____14,7 ______ 21 ______ 7 98 2

_____, _____18,9 ______ 27 9 ______ 162 2

6. Assessment of word problems – addition and subtraction

1. 25 – 3 = 22 to remove the extra sheets 22/2=11,

2. Andrew = 11 + 3 = 14, Wendy = 11- 3= 8

Andrew 13, Wendy 19

3. 22

4. 33

5. The difference is really 4 between 2 persons. So 24 – 4= 20, 20/2 = 10 this is the amount each person have the equal

number of cookies and it is also Meghan’s cookies so it is 10. Coco’s cookies = 10 + 4 = 14.

6. Andrew’s age now is 12- 5 = 7 Meghan’s age now 5 + 5 = 10, 10 + 7 = 17

7. Spatial relation and logic

0 5, 50, 14, 41, 23, 32

3

2

8. Assessment of multiplication

1 2 6 1

3 1 2 2

9. Assessment of multiplication

3 2 2 1

1 3 6 1

2 3 3 1

10. Assessment of multiplication (order of operation)

6+4x5=26, 21. 41, 46, 31, 51, 16, 11






3

11. Whole number multiplying or dividing by a whole number

, 12.0, 1200%

220/1, 220.0, 22000%

,1467000000%

10001/1, 10001.0, 1000100%

,900405.2, 90040523%

12. Word problems for multiplication and division

This is to evaluate the student’s multiplication or division ability.

5 , 11, 95, 15, $6, 15,

5050 (1 + 100) /2 x 50, 2500 (1 + 99) /2 x 50, 2550 (2 + 102)/2 x50

Those can be divisible by 9 are: 9, 18, 27, 36, 45, 54, 63, 72, 81 and their total is 405.

5050 – 405 = 4645.

2f + 3 f + 1.5 f = 58500, f = 9000

13. Whole number operations

325, 325 + 45 +15 +105 + 135

795

515

325

425

245

14. Whole number operations

40, 40 + 50 - 20 + 10 = 2 40

32

38

42

44

52

24 12

2 1

14670000

1

23900405

100






4

15. Assessment of decimal division

256

Two

hundred

fifty-six

200+50+6 2.56x102

28 256.00 256.0 260

0.256 Two

hundred

Fifty-six

thousandth

0.2 + 0.25

+0.006

2.56 x 10 -

1

NA 0.26 0.3 0

25610

Twenty-

five

thousand

six

hundred

ten

20000+5000

+600 +10

2.561 x

104

2561 x 2 x 5

2561.00 2561.0 25600

2.56 Two and

fifty-six

hundredth

2 +0.5 + 0.006 2.56 NA 2.56 2.6 0

2561 Two

thousand

five

hundred

sixty-one

2000 + 500 +

60 + 1

2.561 x

103

NA 2561.00 2561.0 2560

256

1

32

125

25610

1

142

25

2561

1






5

16. Percent

Students 250 ? 210 220 ? 240 ? 80 1000

% ? 25% 21% ? 22% 24% 8%

? $7355.56 9% commission ? $662 $1000 NA 1662

$150 5% commission over

$100

? $7.50 $300 NA ? $307.50

$250 4% discount ? $10 NA NA ? $240

$40 ? 45% ? $18 NA ? Profit $58

? $625 20% ? $125 NA loss $500

? $600 20% ? $120 NA profit $720

$126 Mark down 30% NA NA ? $88.20

$87

? 33 %

$29 NA NA ? $116

? $100 Tax 20% $20 NA NA $120

$200 Tax ? 50.5% $61 NA NA $261

17. Fraction, decimal, exponent, proportion, integer

$1, 6, 10000, 1000, 504, 3/2, 17, 5, 1800, 4, 3/2, -12, 16, -23, 25

12, -24, 27, -11,

10.5, 0.3993, 2/3, 50, 6/5, 63/4, 182/135

18. Decimal and measurement of length

1000, 100000, 1000000; 0.001, 100, 1000; 0.00001, 0.01, 10; 0.1, 100, 1000, 10000;

0.0001, 0.1, 10, 100; 0.00001, 0.01, 0.1, 1; 0.015, 150, 1500; 0.023, 23, 2300, 23000;

1.234, 1234, 123400; 1378, 13780, 137800; 0.000245, 24.5, 245

2 3.89, 3 14 0 0, 23 458, 5.45, 2383.85, 4674.56, 7190

1

3






6

38. Connecting Rooks

66. Maze






7

76. One loop

91. Spatial relation and Subtraction operation

11-3=8 7+4=11 12-5=7 11+1=12

11-5=6 5+6=11 12-11=1 9+3=12

11-4=7 9+2=11 12-6=6 3+9=12

11-9=2 8+3=11 12-3=9 8+4=12

11-2=9 3+8=11 12-7=5 6+6=12

11-6=5 6+5=11 12-8=4 5+7=12

11-7=4 4+7=11 12-4=8 7+5=12






8

92. Chess intersection and set

4+7=11, 11+5=16, 10+7=17, 11+7=18, 11+16+17+18=62, 11+4=15, 16+10+17=43

106. Spatial relation and Subtraction operation

11-3=8 7+4=11 12-5=7 11+1=12

11-5=6 5+6=11 12-11=1 9+3=12

11-4=7 9+2=11 12-6=6 3+9=12

11-9=2 8+3=11 12-3=9 8+4=12

11-2=9 3+8=11 12-7=5 6+6=12

11-6=5 6+5=11 12-8=4 5+7=12

11-7=4 4+7=11 12-4=8 7+5=12

107. Spatial relation and subtraction operation

13-11=2 7+6=13 14-9=9 11+3=14

13-5=8 5+8=13 14-12=2 9+5=14

13-4=9 9+4=13 14-6=8 12+2=14

13-9=4 8+5=13 14-11=3 8+6=14

13-12=1 11+2=13 14-7=7 13+1=14

13-6=7 6+7=13 14-8=6 5+9=14

13-7=6 4+9=13 14-13=1 7+7=14


15-13=2 15-7=8 16-15=1 11+5=16

15-6=7 15-13=2 16-7=9 13+3=16

15-12=3 15-12=3 16-12=4 12+4=16

15-11=4 15-8=7 16-11=5 8+8=16

15-14=1 15-11=4 16-14=2 9+7=16

15-9=6 15-6=9 16-9=5 14+2=16

15-8=7 15-14=1 16-13=3 15+1=16


17-9=8 11+6=17 18-15=31 13+5=18

17-16=1 13+4=17 18-16=2 14+4=18

17-12=5 12+5=17 18-17=1 12+6=18

6, 8+9=17, 6, 9 + 9 = 18

3, 15+2=17, 4, 11+7=18

2, 16+1=17, 7, 16+2=18

4, 14+3=17, 5, 15+3=18






9


6 7+12=19 6 11+10=21

13 13+6=19 14 13+8=21

7 12+7=19 9 12+9=21

3 8+11=19 5 8+13=21

5 11+8=19 5 9+12=21

14 6+13=19 12 14+77=21

11 14+5=19 8 15+6=21

110. Spatial relation and multiplication operation

6 27 32 35

4 21 20 30

10 9 28 15

16 6 8 10

18 24 16 40

14 15 24 45

8 18 36 20

12 12 12 25


64 63

12 49 40 54

30 21 56 27

48 14 16 18

54 56 32 72

42 35 48 81

24 42 72 36

36 28 24 45


72 85

24 51 60 70

30 9 68 65

36 36 48 60

38 54 56 90

34 45 64 95

28 48 76 70

32 42 52 75






10


144 153

72 119 120 144

90 21 136 117

108 84 96 108

114 126 72 146

102 105 128 171

84 112 172 126

96 98 104 135

114. Addition and subtraction

Fill in 2 circles with 2 consecutive natural numbers having a difference of 1

3,2; 6,5; 7,6; 9,8; 11,10; 17, 16; 10,9


15,14;13,12;16,15;22,21;39,38;36,35;28,27;41,40


8,7;18,17;21,20;16,15;35,34;29,28;47,46;36,35


21,19;30,28;27,29;19,21;34,36;28,26;47,49;39,41


10,8;5,3;3,1;18,16;34,32;41,43;28,26;17,15


8,6;10,8;12,10;6,4;13,11;16,14;15,17;9,11

120. Multiplication and addition

8,6;17,2;7,6;12,2;25,1;8,6;9,3;9,8

121. Multiplication and subtraction

16,3;7,2;6,2;7,3;8,2;8,5;9,5;7,4






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122. Division and addition

3,1;6,2;8,4;18,3;24,4;36,2;27,3;21,3

123. Division and subtraction

9,1;68,2;96,8;28,2;48,3;36,2;39,3;72,8

124. Multiplication and division

2,2;4,2;22,2;8,4;12,4;7,7;8,2;9,3

131. Basic Fractions (Leave answers in simplified and mixed fractions if possible.)

135. + − divide

47, 208, 33, 135, 28, 17, 72, 36

139. IQ math chess puzzles

4+2=6, 1+2=3

3+3=6, 2+3=5

2+2=4, 4+5=9

1+2=3, 3+

147. Math basics

50,50,50,49,8,10,82,85,10,80,7,9

4x5 + 1 + 2 + 3

3x5+1+2+4

9x8+1+2+3+4+5+6+7






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148. Fill in each box with one different digit from 1 to 9 to get the same answer.

1+6, 2+5,3+4,1+8,2+7,3+6, 4+5,1+2,1+3,1+4,2+3,1+7,2+6,3+5,1+3


1+5, 2+4, 1+9, 2+8, 3+7, 4+6, 9+8, 9+6, 8+7, 7+6, 9+4, 8+5, 6+5, 7+4, 8+3


9+8, 9+7, 9+6, 7+8, 9+5, 6+8, 9+4, 5+8, 7+6, 9+3, 4+8, 7+5, 7+1, 6+2, 5+3


9+3, 8+4, 7+5, 9+2, 8+3, 7+4, 9+1, 8+2, 7+3, 6+4, 4+8, 7+5, 3+9, 1+5, 4+2


11-2, 12-3, 13-4, 14-5,15-6,16-7,17-8,118-9,11-3,12-4,13-5,14-6,15-7,16-8,17-9

153. Sum and difference

8+6=14,8-6=2,9+8=17, 9-8=1, 9+4=13,9-4=5, 9+5=14,9-5=4

154. Sum and difference

6+5=11,6-5=1,7+3=10, 7-3=4, 9+6=15,9-6=3,7+4=11,7-4=3


9= 1, 2, 6 1,3,5 2,3,4

21= 4, 8,9 5,7,9 6,7,8

24=7,8,9

7= 1,2,4

23=6,8,9


7=1,2,4

15=1,5,9 1,6,8 2,4,9 2,5,8 2,6,7 3,4,8 3,5,8 4,5,6






13


8 = 1,2,5 1,3,4

17=1,7,9 2,6,9 2,7,8 3,5,9 368 458 467


22=589 679

18=189 279 369 378 459 468 567


10=127 136 145 235

20=389 479 569 578

160. Math and puzzles

25+11=6x6

5+11=4x4

Fill in each box with a number.

7

7

8

,, , , , , _ , , , ___ , __

5 (7,17,27,37,47)






14


9

4

4, 9, 13

50

13

44 + 10 = 54

54 / 2 = 27

27 –10 = 17






15


Evaluate and show your work. Fill in a number in each symbol. The same symbol represents the same number.

11

6

17

1

50

Complete the following pattern.

24

20

9

15

22

10


100-99=1

100-91=9

7

4

6






16


40, 30 , , 13


40,25, 8

166. Basic math

0, 4

? + 3 – 4 – 4 + 3 = 33

33 – 3 + 4 + 4 – 3 = 35

24-12=12

36-12=24

72-12

60

59-12=47

12-12= 0

25+12=37






17

167. Math basics

9 – 1 + 90 – 1 +900 – 1 + 9000 – 1+ 90000 – 1 = 99999 – 5 = 99994

500 – 100 – 100 – 100 = 200

Since the number of total apples is the same as the total number of pears so the total must be the LCM of 4 and 7 between 40

and 60.

40 < 7A + 4P < 60 , 7A=4P=28 So the total must be 56. Apples = pears=28

? 6 LCM

168. Math basics

24, 60+60-1+60+2+60+1+60-3+60-2+60-1+60+3+60+1 = 9x60 = 540

Width = 0.25 area=0.45x10000=4500

4500/25=180cm

169. Math basics

(This is the one all others adding up to 10.)

36

150 x 100 = 15000 15000 x 2 = 30000

30000 / 200 = 150

The fourth and sixth ones.

Each number x 2 then add 1 to get the next one. The 32 should be 31.






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170. IQ math fitness

3 cancelled with 3, 10 +10 + 10 =30

20

17=9+8 13 = 7 + 6, 8+5, 7+6 12 = 9+3, 8+4, 7+5

171. IQ math fitness

5, 60, 8 + 8 = 16, 16 – 4 = 8+ 4

3 + 3 + 8 + 8 = 11 + 11

10

173. Amandaho Moving Dots Puzzle ™

4 in the middle, move 1 from left, move 3 from right.


6 in the middle move 4 from left, move 2 from right.










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4 in b 3, 1 in d2, 1 in c1.


2 in b3, 1 in c2, 1 in d3


move 4 from b3, move 5 from c4, move 2 from d2, move 6 from c2.


Middle number is 13. Move left 2, move right 3, move top 3, move down 5.

187. Frankho Cube Math™

5+4=9 2+4=6

1+6=7 3+5=8

1+4=5 5+6=11

2+3=5 3+5=8


1+3=4 5+1=6

2+4=6 4+1=5

3+2=5 6+2=8

5+1=6 6+6=12


3+ 9 = 12, 6 + 9 = 15

8 + 6 = 14, 5 + 2 = 7

3 + 8 = 11, 8 + 6 = 14

9 + 1 =10, 2 + 9 = 11






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192. Frankho Abacus Math™

19-9 = 10, 24 – 7 = 17

24-1= 23, 16 – 3 = 13

16-2= 14, 21 – 6 = 15

13-8 = 5, 18 – 4 = 14

12 – 6 = 6, 16 – 4 = 12

195. + – × ÷ IQ Math and chess Word Problems

1-5, 2-4, 3-6

42 – 4 = 38, 38 /2 = 19, 19 + 4 = 23

13 x 3 = 39, 39 –13 /(3-2) = 6 tricycles, 13 – 6 = 7 bicycles

33-13=20

20/2=10 … Andy

10 + 13 = 23 …..Kevin

5 minutes

196. Fraction maze

= 65

800 / 4 = 200, 200 /25 = 8 quarters

Do subtraction and then cancellation of denominator of the current fraction with the numerator of the next fraction.

12.5 100

2x x

x

1

50






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197. Geometry

60, 663%, 266%, 256 – 64 ,

Both A and B are 16 – 4 assuming the side length of the square is 16.

50 cm2

198. Geometry

25 + 20 = 45, 18 units2 6x6/2=18, 100 – 36 + 8 -= 72, 72 units

2, 2 circle – square = 4 leaves. Square – 4 leaves = 6.9

cm2

200. Chess and math

3

White bishop and 2 Black rooks intersect at 3 squares so the value is 3

9 – 8 = 1, 1 + 1 = 2

11- 6=5, 5 + 5= 10

14- 9 = 5, 5 + 5 =10

202. Frankho Rook Path Puzzle

203. Frankho Chess Mazes and Castle Math






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Move up 1, move down 1. 2 in the middle.

206. Unequal Sudoku

321 132 213

207. Maze






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208. Match stick

1 + 1 + 1 = 1, 5 -2 =3, 4 + 7 = 11

7=11 - 4, 12 – 9 = 3, 3 + 3 = 8

209. Lollipop stick figure

210. Number puzzles

6239 + 6239=12478

10 2=5, 10 + 4 – 2 – 5 = 7

211. Triple mates






24


Apple =

Strawberry = –

= 33

Banana + pineapple = 120 – 33 – 32 = 55

Pineapple =

= 36

banana = 55 – 36 = 19

213. Frankho Chess Mazes






25

214. Multi-grade math

Fraction of multiplication and division [Do not have the same measuring unit (denominator).]

=24 2

=

=______ ______ =8

= 4

2

=1

=______ ______ = 2

Fraction of addition and subtraction [Must have the same measuring unit (denominator).]

=24 2

= 26

=______ ______ = 6

=

= 2

=______ ______ =3

Decimal

=______ ______ = 10 =______ ______ = 2

=______ ______ = 24 =______ ______ = 0.0000024

Whole number

=______ ______ = 3 =______ ______ = 6

=______ ______ = 540 =______ ______ = 1080

%

=______ ______ = 25 =______ ______ = 33

=______ ______ = 0.001 =______ _____ = 0.000005








26

216. Unequal Sudoku

2341, 3412, 4123, 1234

218. Maze

Maze

219. Matchstick

12 = 18 - 6

7 + 4 – 11 = 0






27

220. Matchstick figure

17= (19+16+26)/3

221. Chess puzzle

11

222. Stickman

Head sum = numbers of legs and hands

223. Triple mates






28


The question ? is the sum of digits of each 2-digit number arranged to its value.

3 9 9 10 = 2+1, 2+7, 5+4, 5+5

3 7 7 10 = 1+2, 4+3, 2+8, 6+4

225. Frankho Chess Mazes

227. Amandho Moving Dots Puzzle ™


228. Unequal Sudoku






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229. Loop-the-Loop

232. Math, Chess, and Puzzles

87, 10 6 2, 5 4 9

9+11=20, 8+15=23, 8+9=17, 9+9=18, 6+18=24, 8+12=20, 9+13=22, 9+9=18

233. Replace each letter by a number.

12332435; 8232124; A=4, B=6; 15315745; 1206516; A=1, B=9; A=9, B=7; A=9, B=7; A=11, B=6; 20040200; 5330; 1600,

3600

234. Square math

231

123

312

132

321

213

312

123

231






30

235. One loop

236. Unequal Sudoku

132 213 321

312 231 123

132 213 321

237. Sudoku 数独

3142

4213

1324

2431

3124

2413

4231

1342






31

238. Sudoku 数独

239.

13-11=2, 7+6=13,, 14-9=5, 11+3=14

13-5=8, 5+8=13, 14-12=2, 9+5=14

13-4=9, 9+4=13, 14-6=8, 12+2=14

13-9=4, 8+5=13, 14-11=3, 8+6=14

13-12=1, 11+2=13, 14-7=7, 13+1=14

13-6=7, 6+7=13, 14-8=6, 5+9=14

13-7=6, 4+9=13, 14-13=1, 7+7=14

246. Unequal Sudoku

2314, 1423, 3142, 4231

247. Loop-the-Loop






32

248. Maze

249. Math and Chess Contest

f7 - f8 and promote to a knight 22, 23, 19, 42, 23

h2 g3 33, 14, , 3, 22, 17

Rh1 – h5 14, 9, 3, 6, 1

Rd1 – e1 9, 13, 8, 7, 8

Rd1 Nd5 (Nf6 is pinned.) 1, 0, 2 Rd4 – d8 5, –9

Nc3, Ng5, Nd2

5 1

N(ine)

3, 9

Qd2 x Qd4

Nh7 x Nf6

7, 14

121, 441






33






34






35






36






37






38






39






40






41






42






43






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No calculator, show all your work on empty space

1 Adam has 10 apples and he has 3 apples less than Bob.

How many apples does Bob have?

10+3=13

Adam has 21 apples and he has 5 more apples than Bob.

How many apples does Bob have?

21-5=16

2 Fill in each empty figure with a number.

201

15

216-201=15

Fill in each empty figure with a number.

227

15

227-212=15

3 Adam has 305 apples and after he gives Bob 30 then Bob

has the same number of apples as Adam. How many

apples does Bob have originally?

305-60=245

Adam has 417 apples and after he gave 39 apples to Bob

then Bob has 210 more apples than Adam. How many

apples does Bob have originally?

Method 1, Use "equal" idea which is 417 – 39 39. The

difference is 2 times 39.

Bob’s original apples = 417 – 39 39 +210 = 549

Method 2, use algebra'

B+39- (417-39) = 210

Method3, use Line Segment Diagram.

417 2 39+210=Bob =549

4 Adam has 3 times as many apples as Bob. Adam has

3072 apples. How many apples does Bob have?

1024

Adam has 3 times as many apples as Bob and 15 extra.

Adam has 537 apples. How many apples does Bob have?

537-15 = 522

522






45

5 There are some apples in a basket and 0.2 of them are

Adam’s apples and the rest is Bob’s. Adam has 1234

apples, how many does Bob have?

Method 1\

1234 Method 2

Bob has 0.8 which is 4 times of Adam’s. 1244

4936

Three out of 10 students went out for lunch in Alex’s

class and the rest 21 students stayed in class. How many

people went out for lunch?

9

6 Adam sold

of his apples on day 1; on day two, he sold

of the remaining and he had 21apples left, How many

apples did he have originally?

21

=189

Adam sold

of his apples on day 1; on day two, he sold

of the remaining; On day three he sold

of the remaining

and he had 21apples left, How many apples did he have

originally?

=189

7 20% of Jocelyn’s first math test is 68 and 35% of her

second test is 58.5. What is her average of these two

tests?

The sell price of a watch went up 10 % on first week; on

the second week, it dropped 15% and then Jocelyn bought

the watch for $55. What was the original price before the

price went up?

8 Sarah’s mother is three times as old as Sarah. In 35 years,

Sarah’s age will be 11 more than her mother’s age now.

How old is Sarah and her mother individually?

Sarah = 12

Sarah’s mom = 36

Seven years ago, Sarah was 11 years younger than two

times of Sarah’s age now. How old is Sarah now?

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HO MATH CHESS SUDOKU PUZZLES SAMPLE WORKSHEETS

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