Answers

Challenge K-3/Ages 5-8

Presented to MathWorld Interactive by Forty-niners! from Eugene, Oregon, USA

Question 1

STEP ONE-THE FACTS:

There are 70 pages in a book.

You have read 34 pages.

STEP TWO-THE QUESTIONS:

You want to find out how many pages you have left to read.

STEP THREE-MY STRATEGIES:

1. Add 34 pages to something to equal 70 pages.

34+?=70

2. 70 pages minus 34 pages (which are the pages already read) equals something.

70-34=?

STEP FOUR-MY ANSWER:

I used strategy #1 to get my answer of 36 pages left to read.

STEP FIVE-MY CHECK:

I used strategy # 2 (subtraction) to check my answer.

70

-34

36

STEP SIX-MY NEW PROBLEM:

An elephant eats 533 pounds of food for breakfast and it eats 233 pounds for lunch. How many more pounds does it eat for breakfast?

Question 2

STEP ONE-THE FACTS:

There are 32 monkeys.

They need to equally be put into 4 cages.

STEP TWO-THE QUESTIONS:

How many monkeys will be in each cage?

STEP THREE-MY STRATEGIES:

1. Figure 4 cages times some number of monkeys will equal 32 total monkeys.

4 x ? = 32 ?= 8 monkeys per cage.

2. Start with 32 monkeys. Subtract 4 monkeys at a time until I have 0 left. The number of times I subtract 4 is the number of monkeys in each cage.

32 - 4 = 28

28 - 4 = 24

24 - 4 = 20

20 - 4 = 16

16 - 4 = 12

12 - 4 = 8

8 - 4 = 4

4 - 4 = 0

I count up the number of subtractions and it is monkeys per cage.

3. Start with 32 monkeys and divide by 4 (cages) to equal monkeys in each cage.

32 divided by 4 = 8 monkeys in each cage

STEP FOUR-MY ANSWER:

I used strategy # 1 and know that 4 x 8 is 32.

STEP FIVE-MY CHECK:

I checked it by doing division (#3 strategy.)

STEP SIX-MY NEW PROBLEM:

There are 8 baboons in the zoo. The cages that they were living in were to be sold and the zookeeper was planning to buy new ones. Each baboon wants to share the cage with 3 others. How many cages does the zookeeper need to buy?

Question 3

STEP ONE-THE FACTS:

Doug has 3 pennies, 4

Nickels , 5 dimes, and 2 quarters.

STEP TWO-THE QUESTIONS:

How much money does Doug have?

STEP THREE-MY STRATEGIES:

1. Money Key: I know how much each coin is worth. If I didn't know this I would ask my Mom. 1 penny = 1, 1 nickel =5, 1 dime = 10, 1 quarter = 25.

1 x 3 = 3, 5 x 4 = 20, 10 x 5 = 50, 25 x 2 =50

3+20+50+50=123 cents = $1.23

2. 1+1+1+5+5+5+5+10+10+10+10+10+25+25= 123 cents.

All of these are cents. I used the same key as in #1

STEP FOUR-MY ANSWER:

Doug has $1.23 and I used strategy #1.

STEP FIVE-MY CHECK:

I checked by doing strategy #2 and I got out all the coins to do it from my piggybank.

STEP SIX-MY NEW PROBLEM:

I looked in my piggybank and I saw I had one penny, one nickel, eight dimes, and two quarters. How much money do I have?

Question 4

STEP ONE-THE FACTS:

I cannot use English in my answer.

I need to write numbers using letters not numerals.

STEP TWO-THE QUESTIONS:

Write one through ten in a foreign language.

STEP THREE-MY STRATEGIES:

1. I remembered the numbers 1-10 in Spanish from school.

Here's what I remember: 1= uno 6= seis

2= dos 7= seite

3= tres 8= ocho

4 = coutro 9= newave

5= cinco 10= deis

2. I looked up the correct spelling in a Spanish reference book. My spelling was a little off in # 1.

1= uno 6= seis

2= dos 7= siete

3= tres 8= ocho

4= cuatro 9= nueve

5= cinco 10= diez

STEP FOUR-MY ANSWER:

My answer is the correct spellings in strategy #2.

STEP FIVE-MY CHECK:

I checked my answer in the Spanish dictionary.

STEP SIX-MY NEW PROBLEM:

Make up your own language and write out the numbers 1 through 10.

Question 5

STEP ONE-THE FACTS:

Jamal has 16 pieces of candy.

He wants to share it with 3 friends. (I assume he shares it equally.)

STEP TWO-THE QUESTIONS:

How many pieces would Jamal and each friend receive if it were divided equally?

STEP THREE-MY STRATEGIES:

1. 16 candies divided by 4 people = 4 candies per person.

(4 people = Jamal + 3 friends)

2. Number of people: 1+3=4

16-4=12

12-4=8

8-4=4

4-4=0

I subtracted 4 four times.

Each kid gets 4 pieces of candy.

STEP FOUR-MY ANSWER:

I used strategy #1.

STEP FIVE-MY CHECK:

I checked it with strategy #2.

STEP SIX-MY NEW PROBLEM:

I have 18 sets of clothing on the Oregon Trail. There are 2 people in my wagon with me. How many equal sets of clothes does each person get?

++NOTE++ My Mom helped with the wordprocessing but all the math is my own work.

pencil

AwardPresented to MathWorld Interactive by The BASIC Choice from Shoreham, New York, USA

 Question 1:

1)What we know: There are 70 pages in a book. I read 34 pages.

2) What we’re looking for: How many pages were left?

3) Strategies: I counted up from 34 to 70.

4) Solution: I need to read 36 pages.

5) Check: I subtracted my answer form 70.

6) Extension: Jim has read 15 pages of the book. Max has read 4 pages. How

many more pages has Jim read than Max?

Question 2:

1)What we know: There are 32 monkeys coming to the zoo. There are 4 cages

2) What we’re looking for: How many monkeys will be in each cage?

3) Strategies: Divide 32/4

4) Solution: 8 monkeys in each cage

5) Check: Multiply my answer by amount of cages = 32

6) Extension: There are 40 monkeys coming to the zoo and there are 5 cages.

How many monkeys in each cage?

Question 3:

1)What we know: Doug has 3 pennies, 4 nickels, 5 dimes, and 2 quarters.

2) What we’re looking for: How much money does he have in all.

3) Strategies: Add all the money up -

1+1+1+5+5+5+5+10+10+10+10+10+25+25=1.23

4) Solution: $1.23

5) Check: find 123 objects, sort them into pennies, nickels, dimes and quarters and

see if it works.

6) Extension: How many ways can you make $.50 using 2 quarters, 5 dimes, 4

nickels, and 4 pennies?

Question 4:

1)What we know: Have to use a foreign language to write the numbers 1-10

2) What we’re looking for: A foreign language to use.

3) Strategies: I chose Computer language (binary) and looked in book on binary

numbers.

4) Solution: 1, 10, 11, 100, 101, 110, 111, 1000, 1001, 1010

5) Check: Checked in book

6) Extension: Write the numbers 1-15 in a foreign language.

Question 5:

1)What we know: Jamal has 16 pieces of candy. He has 3 friends

2) What we’re looking for: How many pieces of candy does he need for himself

and each of his friends.

3) Strategies: Divide 16/4

4) Solution: 4 pieces each

5) Check: Multiply 4 X 4 =16

6) Extension: Someone has 13 pieces of candy and wants to share them with 2 of

his friends equally. How many extra pieces will there be?

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