This is a bundle of 22 challenging math activities (plus answer keys when appropriate). These activities reinforce basic skills in fun and interesting ways. Most require some logic or critical thinking. They can be used as supplemental materials with an entire class, with highly capable students, at a math center, or as homework. This bundle includes: 1. Exactly How Old Are You? 2. Palindromes 3. Number Search 4. Wear Your Points 5. Multiplication Sense 6. Multiplication Homework 7. Which is More? 8. Starry, Starry Night 9. Role the Dice 10. Missing Digits Addition 11. Missing Digits Subtraction 12. Math Scavenger Hunt 13. Dinner Party 14. Triangle Tangle 15. Small Change 16. Missing Coins 17. Halloween Treat Survey 18. Halloween Recipe 19. Twelve Days of Christmas (3 pages) 20. Hanukkah (2 pages) 21. Do It Yourself Story Problems I 22. Do it Yourself Story Problems II Answer Keys
Name____________________
Date___________________
Use the information on the right to answer each question If you need help, the box at the bottom will give you some hints. Show your work.
1. How many years old are you?________ 2. How many months old are you? ________
3. How many weeks old are you?________
4. How many days old are you?________
5. How many hours old are you?__________
6. How many minutes old are you?_____________
Hints: 2. Your age x 12 + months since your last birthday 3. Your age x 52 + weeks since your last birthday 4. Your age x 365 + leap year days + days since your last birthday 5. Your age in days x 24 + hours since midnight today 6. You age in hours x 60 + minutes since the last full hour
Good things to know: 1 year = 365 days 1 year = 12 months 1 year = 52 weeks 1 day = 24 hours 1 hour = 60 minutes January = 31 days February = 28 days* March = 31 days April = 30 days May = 31 days June = 30 days July = 31 days August = 31 days September = 30 days October = 31 days November = 30 days December = 31 days A leap year occurs every four years. On leap years there are 366 days instead of 365 because February has 29 days instead of 28. Leap years: 1996 2004 2000 2008
Created by Rachel Lynette Copyright © 2010
Name____________________
Date___________________
A palindrome is a number that is the same backwards as it is forward. Examples: 2002, 4554, 888. Almost every number will become a palindrome if you reverse the digits and add it to itself and then repeat the process until a palindrome appears. Examples:
43 +34 77
67 +76 143 +341 484
Words can be palindromes too! Examples: mom, radar, level. Can you think of one? ___________________
995 + 599 1594 + 4951 6545 + 5456 12001 +10021 22022
Find palindromes for these numbers:
72
54
29
521
384
3972
Now try these:
48
681
547
Try some more numbers on the back of this page. But don’t try 196. No one has ever been able to find a palindrome for 196. Not even after 278,837,830 reversals! Created by Rachel Lynette Copyright © 2010
Name____________________
Date___________________
Use colored pencils or markers. You can go vertical, horizontal or diagonal. Try to find at least 5 for each number. Examples both add up to 18
How many more 18s can you find? _____ Circle using yellow. How many 24s can you find? _____ Circle using blue. How many 35s can you find? ____ Circle using red. How many 43s can you find?____ Circle using green. Your choice ____ How many did you find?_____ Circle with the color of your choice.
4
2
8
5
9
2
8
3
2
7
5
9
9
8
3
5
8
6
7
1
4
6
8
5
8
3
2
1
7
5
9
6
7
5
6
3
2
7
7
4
2
1
8
7
4
9
1
6
8
6
5
5
3
2
3
1
7
5
9
4
7
5
9
3
8
1
7
4
7
3
8
2
6
7
2
8
2
7
8
6
3
4
8
1
3
6
2
4
5
4
4
8
9
8
6
9
7
5
2
9
6
2
6
2
2
9
3
1
2
7
4
2
7
1
5
2
7
3
8
4
1
7
5
3
8
9
3
2
5
4
7
2
8
6
4
6
3
2
2
1
7
9
7
1
Created by Rachel Lynette Copyright © 2010
Name____________________
Date___________________
Use the chart to the right to answer each question. Show your work. 1. How many points are you wearing?
2. How many points is your teacher wearing (assume your teacher is wearing underwear)
Item
Points
Shirt Pants or shorts Skirt Dress Socks Tights or stockings Shoes Hat Watch Other jewelry Belt Vest Jacket/sweatshirt Hairclips/bands Braces Glasses Underwear
16 18 18 15 6 (each) 13 7 (each) 12 17 7 (each) 11 13 10 14 19 19 50
3. Compare your points with a friend’s. Who has more points? How much more?
4. How much are both your points worth all together?
5. Now find 2 more people and add all 4 of your points together. How many?
6. Try to find someone who has the same number of points that you do. Created by Rachel Lynette Copyright © 2010
Name____________________
Date___________________
Write a multiplication equation for each statement. You may not multiply any number by 1 and you may not use the same equation more than once. *Challenge: Write more than one equation for each statement. Write an equation with… 1. An even product__________________________________________ 2. An odd product___________________________________________ 3. A product of 24___________________________________________ 4. A product with a “6” in the ones digit___________________________ 5. A product with a “7” in the ones digit___________________________ 6. A product between 35 and 40________________________________ 7. A product between 53 and 68________________________________ 8. An odd product over 30 ____________________________________ 9. An even product over 50____________________________________ 10. A 3 digit product_________________________________________ 11. A product with 2 consecutive digits___________________________ 12. A product with 2 odd digits_________________________________ 13. A product with 2 even digits________________________________ 14. A product with the same 2 digits_____________________________
15. I am an odd number between 30 and 40. If you add my digits together you will get 8. What number am I?________ 16. I am a number between 60 and 70. My digits are consecutive. What number am I?_______
Created by Rachel Lynette Copyright © 2010
Name____________________
1) _______ Shirts in your room X ______ Sleeves on each shirt Total Sleeves
3) _______ Chairs in your house X ______ Legs on each chair Total Chair Legs
5) _______ Cereal Boxes X ______ Sides on each box Total Cereal Sides
7) _______ People in your family X ______ Fingers (no thumbs) Total Fingers
9) _______ Forks X ______ Prongs on each fork Total Fork Prongs
11) _______ Pairs of clean underwear X ______
In your room Holes in underwear (legs+waist) Total Underwear Holes
Date___________________
2) _______ Tables in your house X ______ Legs on each table Total Table Legs
4) _______ Outlet plates X ______ Outlets on each plate Total Outlets
6) _______ Animals (real & stuffed) X ______ Eyes on Animals Total Animal Eyes
8) _______ Doors X ______ Knobs on doors Total Door Knobs
10) _______ Computer Keyboards X ______ Letter keys Total Letter Keys
12) _______ Toothbrushes X ______ Bristles on brushes JUST KIDDING!!
Created by Rachel Lynette Copyright © 2010
Name____________________
Date___________________
Fill in the circle with , or =
1. 7 + 8 + 5 + 9 2. 34 + 25
3. 94 – 23
4x8 7x8
4. 2,358 + 3,221
5. 27 quarters
100 nickels
6. 34 quarters
10 dollars 12 five dollar bills
8. 5 twenty dollar bills
5,000 dimes
9. 26 inches
2 feet
10. 95 inches
3 yards
11. 9 feet and 4 inches
110 feet
13. 140 minutes
2 hours
16. 100 days
Would you rather have $100 dollars everyday for the rest of your life or get one million dollars on your 35th birthday. Explain your answer.
112 inches
12. 1,386 inches
15. 27 days
55 x 50
Just for fun
7. 3 twenty dollar bills
14. 74 hours
8x8
3 days 4 weeks 12 weeks
17. 5 rocks weighing 2 pounds each 18. 7 puppies weighing 3 pounds each 19. A 200 pound couch
3 rocks weighing 4 pounds each 12 kittens weighing 2 pounds each
8 chairs weighing 30 pounds each.
20. 24 kids weighing 83 pounds each
15 adults weighing 150 pounds each
Write your own: __________________________
_________________________ Created by Rachel Lynette Copyright © 2010
Name____________________
Date___________________
Fill in the points of the stars so that the total for each of the five points of each star is equal to the number in the center of the star. 7
9
4
7
3
30 2
8
28
29 9
4
4 8
8
32
9
8
34
9
37 5
7
9
7
4
34 6
2
9
23
7
32
7
2
27
9 4
4 6
7 7
5
23
28
4
8
8
4
3
Created by Rachel Lynette Copyright © 2010
Name____________________
Date___________________
Roll a die to fill in each blank with a digit. Then solve.
1. ____ ____
3. ____ ____
5. ____ ____
+ ____ ____ ______________
+ ____ ____ ______________
+ ____ ____ ______________
2. ____ ____
4. ____ ____
6. ____ ____
+ ____ ____ ______________
+ ____ ____ ______________
+ ____ ____ ______________
7. ____ ____ ____
9. ____ ____ ____
11. ____ ____ ____
+ ____ ____ ____ _________________
+ ____ ____ ____ _________________
+ ____ ____ ____ _________________
8. ____ ____ ____
10. ____ ____ ____
12. ____ ____ ____
+ ____ ____ ____ _________________
+ ____ ____ ____ _________________
+ ____ ____ ____ _________________
13. ____ + ____ +____ + ____ +____ + ____ +____ + ____ +____ + = _____
14. ____ ____ + ____ ____ = _____
15. ____ ____+ ____ ____ = _____ Created by Rachel Lynette Copyright © 2010
Name____________________
Date___________________
Fill in the missing digits.
1.
2.
3.
4.
4 3 7
5 0 8
7 7 4
3 6 0
+2 2 5
+2 4 8
+1 9 2
+2 4 5
6 6 2
7 5 6
9 6 6
6 0 5
5.
6.
7.
8.
4 1 8
7 6 4
2 7 5
3 5 9
+3 8 5
+1 5 7
+1 7 5
+1 4 9
8 0 3
9 2 1
4 5 0
5 0 8
9.
10.
11.
12.
2 3 7
2 8 5
5 3 9
3 9 5
+2 9 6
+6 7 8
+1 8 2
+2 4 5
5 3 3
9 6 3
7 2 1
6 4 0
13.
14.
15.
16.
1 2 4
1 4 6
4 8 4
4 7 3
+4 6 2
+5 4 6
+1 7 3
+2 7 9
5 8 6
6 9 2
6 5 7
7 5 2
Created by Rachel Lynette Copyright © 2010
Name____________________
Date___________________
Fill in the missing digits
1.
2.
3.
4.
4 8 7
5 9 8
4 7 4
3 6 7
- 2 1 5
- 2 4 8
- 1 1 2
- 2 6 5
2 7 2
3 5 0
3 6 2
1 0 2
5.
6.
7.
8.
4 8 5
7 8 4
8 1 9
8 5 9
- 3 7 8
- 1 5 7
- 1 7 5
- 4 8 9
1 0 7
6 2 7
6 4 4
3 7 0
9.
10.
11.
12.
9 5 2
2 8 5
5 3 2
8 4 5
- 2 8 6
- 6 7 8
- 1 8 9
- 2 4 7
5 3 6
3 9 3
3 4 3
5 9 8
13.
14.
15.
16.
7 8 4
8 2 6
4 3 2
5 0 3
- 4 6 8
- 5 4 6
- 1 7 3
- 2 7 9
3 1 6
2 8 0
2 5 9
2 2 4
Created by Rachel Lynette Copyright © 2010
Name____________________
Date___________________
1. How many zeroes are in one million?_________ 2. What is an object that is exactly 5 inches long? __________________ 3. How many prime numbers come before 100?________ 4. How many nickels are in twenty dollars?________ 5. What do all the numbers on a computer keyboard add up to?___________ 6. What is the circumference of your head?_____________ 7. How many stacked pennies make an inch?__________ 8. Where is there a right angle in your classroom? __________ 9. On what date will the 100th day of school fall this year?__________ 10. How many minutes are you in school each day?__________ 11. How tall do you think you will be when you are an adult___________ 12. How old will you be in the year 2050?______________ 13. Name something that weighs about a pound _____________________ 14. How long is your classroom?_____________ 15. If you divided the kids in your class into pairs, how many pairs would there be? ___________ 16. Can the kids in your class be evenly divided into groups of three?_________ 17. How far can you count by 2s quickly without making a mistake?___________ 18. How many even numbers are on this page?__________ 19. Would you rather have $100 or 350 quarters?_________________________ 20. What is infinity?_________________________________________________ You’re done! Created by Rachel Lynette Copyright © 2010
Name____________________
Date___________________
You decide to throw a dinner party in honor of your incredible teacher who has taught you so much. You are expecting 18 people to come to your party (including your teacher and yourself). You have 4 small tables and 2 big ones. The small tables can fit 4 people, one on each side and the big ones can fit 6 people, 2 on each side and 1 on each end. Arrange the tables so that every table is used, everyone has a seat and there are no empty spaces. The tables do not have to be arranged in one large group.
Small (4 of these)
Large (2 of these)
Oops, you forgot to count the principal and your teacher’s mother. Add 2 more people and rearrange the tables so that all 20 guests fit.
Label the spots where you and your teacher will sit.
Created by Rachel Lynette Copyright © 2010
Name____________________
Date___________________
Find as many triangles as you can. List them by writing the three letters at the angles. Try to put the three letters in alphabetical order
A A
1. ____________
7. ____________
13. ____________
2. ____________
8. ____________
14. ____________
3. ____________
9. ____________
15. ____________
4. ____________
10. ____________
16. ____________
5. ____________
11. ____________
6. ____________
12. ____________
How many more triangles could you find if there was a line between points I and F? List them:
Created by Rachel Lynette Copyright © 2010
Name____________________
Date___________________
Fill in the chart to show which coins you need to make each amount. Remember you must use the exact number of coins in the second column. Amount
# of coins
Quarters
Dimes
Nickels
Pennies
1.
.42
6
1
0
3
2
2.
.27
10
3.
.34
8
4.
.40
10
5.
.49
7
6.
.55
6
7.
.55
12
8.
.55
15
9.
.63
7
10.
.68
13
11.
.70
5
12.
.70
10
13.
.77
12
14.
.82
8
15.
.89
13
16.
.95
6
17.
1.00
15
18.
1.00
15
19.
1.00
96
20.
2.00
14 Created by Rachel Lynette Copyright © 2010
Name____________________
Date___________________
Fill in the empty boxes with letters for pennies (P), nickels (N), dimes (D), and quarters (Q). The total amount of money for each column must match the amount on the bottom of the grid. The total amount of money for each row must match the amount on the right side of the grid.
Q
D
D
Q
N
P
N .45
.46
P N
N
N
.70
P
Q
D
.42
P
Q
.62
D
N
.37
.41
.21
Q
Q
N
P
N
Q
N
P
P
N
.67
.22
D
.40
N
N
D
D
N
.43
.62
.42
Q
D
P
.86
N
N
.63
Q
N
Q
.93
.56
.51
.66
.91
N
P
P
D
N
P .48
P D
.80
P
D
.44
Q
P
.81
Q
.59
P
N
Q
.23
.27
.72
.36
.61 .65
.77 N
D
.65
.96 Q
P
.36
.78
Q
D
.56
D
N
D
.41
Q
D
P
.76
.51
.74
D
D
.32
P
P
D
.41
N
P
N
N
Q
N
P
Q
P
Q
N
N
P
N
D P
P
P
.42
P
N
N
Q
D
N
Q
N
Q
D
D
.38
P
P Q
P
.83 .47
Created by Rachel Lynette Copyright © 2010
Name____________________
Date___________________
Ask 20 to 30 people which of the four Halloween Treats they like the best. Keep track of the answers with tally marks. Each person must choose one and only one of the treats listed (no adding treats). You may include your own vote. Total your results. Snickers Bar
Total:
Skittles
Total:
Tootsie Rolls
Total:
Carmel Apple
Total:
Now use colored pencils to create a bar graph that shows the results of your survey. Remember to do your best work! 20
Which treat is the most popular?
18 16
_____________________
14 12
Which treat is the least popular?
10 8 6
______________________
4
How many more people like the most popular treat than the least popular treat?
Popcorn Ball
Tootsie Rolls
Skittles
Snickers Bar
2
______________________ Which is your favorite treat? _______________________
Created by Rachel Lynette Copyright © 2010
Name____________________
Date___________________
Use the recipe to Answer the questions. 1. What if you wanted to make enough Witches’ Brew for 4? ________ frogs
________ cricket legs
________ cups sour milk
________ cup eyeballs
________ gerbil tails
________ Twinkies
2. What if you wanted to make enough Witches’ Brew for 6? ________ frogs
________ cricket legs
________ cups sour milk
________ cup eyeballs
________ gerbil tails
________ Twinkies
3. What if you wanted to make enough Witches’ Brew for just 1? ________ frogs
________ cricket legs
________ cups sour milk
________ cup eyeballs
________ gerbil tails
________ Twinkies
Now make up your own recipe for Witches’ Brew on the back of the paper. Created by Rachel Lynette Copyright © 2010
Name____________________
Wow! Your true-love sure is generous! Look at all the cool stuff he/she gave you! Now that you have all this stuff, its time to do some math. Use the chart to solve the problems below. Show your work.
Date___________________
Day First Second Third Fourth Fifth Sixth Seventh Eighth Ninth Tenth Eleventh Twelfth
Present A Partridge in a Pear Tree 2 Turtle Doves 3 French Hens 4 Calling Birds 5 Golden Rings 6 Geese a-Laying 7 Swans a-Swimming 8 Maids a-Milking 9 Ladies Dancing 10 Lords a-Leaping 11 Pipers Piping 12 Drummers Drumming
1. How many gifts did your true-love give you all together?
2. It seems that you are now the owner of many birds. How many birds do you have?
3. You will need to feed your birds. Each bird eats 3 worms everyday. How many worms will you need each day to feed all of your birds?_________
Created by Rachel Lynette Copyright © 2010
Twelve Days of Christmas Name____________________
Page 2 Date___________________
4. Each Maid a-Milking comes with her own cow. It is cold out in December, so you decide to buy slippers for all the cows. How many cow slippers will You need?__________
5. Cow slippers cost $2.50 a pair. How much money do you need?________
6. You decide to sell the golden rings to the mailman for $6.53 each. How much money did you make?__________
Do you have enough for the cow slippers?__________ 7. The drummers drum all the time! Everyone is complaining. You decide to give all the people (except the drummers) earplugs. How many pairs of earplugs do you need? Don’t forget to include yourself!_____________
8. Earplugs cost $2.37 for a box of 5 pairs. How many boxes will you need? __________
9. How much will you spend on the earplugs?_____________
Created by Rachel Lynette Copyright © 2010
Twelve Days of Christmas Name____________________ Twelve Days of Christmas
Page 3 Date___________________ Page 3
10. Everyday each of the Maids a-Milking gets 3 gallons of milk from her cow. How much milk to the Maids get in one day? _________
11. *Challenge: It takes 6 gallons of milk to make 1 pound of cheese. You would like to give a pound of cheese to all the Lords a-Leaping and the Pipers Playing. How many gallons of milk will you need?__________
12. *Challenge: How many days of milking will it take to get enough milk to make all this cheese?__________
It is February and you are sick of pipes, drums, cows and birds. There are feathers and bird droppings everywhere! Further, they have eaten everything you have and the Lord a-Leaping watch too much TV. You decide to send them all away, but you can’t send them all to the same place. You must send them all to places where they will be happy. Tell where you send each of them and use your imagination!
A Partridge in a Pear Tree 2 Turtle Doves 3 French Hens 4 Calling Birds 5 Golden Rings (sold) 6 Geese a-Laying 7 Swans a-Swimming 8 Maids a-Milking 9 Ladies Dancing 10 Lords a-Leaping 11 Pipers Piping 12 Drummers Drumming Created by Rachel Lynette Copyright © 2010
Name____________________
Date___________________
Solve these problems about Hanukkah. Don’t forget to show your work! 1. There are 8 days of Hanukkah. On the first day 1 candle is lit in the Menorah. On the second day 2 candles are lit. How many candles are needed to light the menorah for all eight days?______________
2. You also need a Shamash, or helper candle each day. It is the candle that you use to light all the other candles. Now how many candles do you need? ____________
3. Candles cost .12 each. How much will you have to spend to buy enough candles?__________
4. You buy 14 blue candles, 24 red candles, 17 yellow candles, 18 white candles and 15 green candles. How many candles did you buy all together? _________
5. Do you have enough candles for all eight days?___________
Created by Rachel Lynette Copyright © 2010
Hanukkah Name____________________
Page 2 Date___________________
6. On the first day of Hanukkah you get 1 chocolate coin. On the second day you get twice as many. On the third day you get twice as many as you did on the second day. Each day, the number doubles until the eighth day. How many coins do you get on the eighth day?________________
7. How many coins did you get all together?_______________
8. You decide to use 24 of your chocolate coins to play a game called dreidle. In the first round you win 38 more chocolate coins. But then you lose half of them in the third round. After you eat 8 of the coins and give 5 of them to your little brother, how many do you have left?_________
9. You like playing dreidle so much that you decide to make some dreidles out of clay and give them to your friends for Hanukkah. It takes a pound of clay to make 3 dreidles. You have 17 pounds of clay. How many dreidles can you make? __________
10. It takes half an hour to make each dreidle. How long will it take you to make all the dreidles? ________ hours and _________ minutes.
Created by Rachel Lynette Copyright © 2010
Name____________________
Date___________________
1. Write an addition story problem with 2 steps.
2. Write a subtraction story problem with at least one 3 digit number.
Answer_______________________
Answer_______________________ Answer_______________________
3. Write a story problem that uses addition and subtraction.
4. Write a story problem with too much information.
Answer_______________________
Answer_______________________ Created by Rachel Lynette Copyright © 2010
Name____________________
Date___________________
2. Write a multiplication story problem about dogs.
1. Write a multiplication story problem that uses odd numbers.
Answer_______________________
Answer_______________________
4. Write a division story problem about cookies.
3. Write a division story problem that uses even numbers.
Answer_________________________
Answer_______________________
Created by Rachel Lynette Copyright © 2010
Name____________________
72 121
54 99
29 121
1.
7+8+5+9
681 6996
4.
6. 34 quarters
2,358 + 3,221 >
8x8 55 x 100
12 five dollar bills
2 feet
10. 95 inches
110 feet
13. 140 minutes
>
2 hours
3 days
94 – 23
3972 26862
0 dollars
7. 3 twenty dollar bills
15. 27 days
384 6996
3.
7x8
100 nickels
16. 100 days
48 363
521 646
5. 27 quarters
14. 70 hours
Date___________________
4 weeks
14 weeks
17. 5 rocks weighing 2 pounds each
