brainteasers math grade 2-3

9 Circle of Numbers number sense and problem solving ...10 The Total number sense and matrix logic .... logic and problem solving ...13 Snacks matrix logic ...14 Seeds matrix logic ...15

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Grades 2–3

by Jillayne Prince Wallaker

illustrated by Vanessa Booth

Carson-Dellosa Publishing Company, Inc.

Greensboro, North Carolina

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Author: Jillayne Prince Wallaker

Cover Artist: Peggy Jackson

Inside Illustrations: Vanessa Booth

Project Director: Sherrill B Flora

Editors: Sharon Thompson,

Debra Olson Pressnall

Graphic Layout: Sharon Thompson

© 2004, Carson-Dellosa Publishing Co., Inc., Greensboro, NC 27425 All rights reserved The purchase of this material entitles the buyer to reproduce worksheets and activities for classroom use only—not for commercial resale Reproductions of these materials for an entire school or district is strictly prohibited No part of this book may be reproduced (except as noted above), stored in a retrieval system or transmitted

in any form or by any means (mechanically, electronically, recording, etc.) without the prior written consent of Carson-Dellosa Publishing Co., Inc.

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Name

Table of Contents

Introduction 4

On Target (problem solving and logical thinking) 5

Consecutive Number Add Up (logic and problem solving) 6

Analyzing Consecutive Number Add Up (logic) 7

Fill in the Digits (addition, subtraction, and problem solving) 8

Careful Placement (addition and subtraction no regrouping and problem solving) 9

Circle of Numbers (number sense and problem solving) 10

The Total (number sense and matrix logic) 11

New Pet (logic and problem solving) 12

What’s for Lunch? (logic and problem solving) 13

Snacks (matrix logic) 14

Seeds (matrix logic) 15

Adding Words (addition with multiple addends, problem solving) 16

Riddles (problem solving and logical thinking) 17

Order Up (sequencing, logic, and problem solving) 18

Order It Up Again (sequencing, logic, and problem solving) 19

Ages (problem solving and logic) 20

Determining Certainty (probability and logic) 21

Is It Certain? (probability and logic) 22

Hide and Seek (matrix logic) 23

Corn Patch (matrix logic) 24

More Ordering (sequencing, logic, and problem solving) 25

Pick Apart (fractions, logic, and problem solving) 26

Pick Apart Again (fractions, logic, and problem solving) 27

Just That Part (fractions, logic, and problem solving) 28

How Probable? (probability and logic) 29

What Can You Do with These Digits? (logic, problem solving, place value, and subtraction) 30

More with These Digits (logic, problem solving, place value, and subtraction) 31

Find the Numbers (Venn diagrams) 32

Place Value Criteria (place value, logic, and problem solving) 33

Place Value Riddles (place value and mathematical reasoning) 34

Shapes from Straws (geometry and problem solving) 35

Pick the Solid (geometry, problem solving, and logic) 36

Fill the Pockets (problem solving, logical thinking, and money) 37

Pockets (problem solving, logical thinking, and money) 38

Vips, Vops, and Such (logic and problem solving) 39

Missing Steps (addition, subtraction, problem solving, and logical thinking) 40

More Missing Steps (addition, subtraction, problem solving, and logical thinking) 41

Find the Numbers (problem solving and logic) 42

Picture Swap (addition, subtraction, and algebraic thinking) 43

Spell It Out (addition, subtraction, and algebraic thinking) 44

Review Test 45

Answer Key 47

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Introduction

Provide fun math practice that goes beyond the facts! With Brainteasers, students use

higher-level thinking and processing skills to solve problems Not only will students be expected

to make connections, analyze data, use deductive reasoning, and represent numbers in alternate ways, they will have opportunities to utilize skills that are prerequisites to other

learning—skills such as addition, subtraction, multiplication, division, fractions, geometry,

measurement, and money Students are encouraged to apply their understanding of those concepts in a new, unusual, or atypical manner Many students have memorized and

learned to use a skill in one or two given contexts With Brainteasers, students explore their

understanding of grade level concepts and picture and apply their skills to different situations.

Remediation and Extension Suggestions and Alternatives

Remediations

1 Allow students to work with partners or complete the pages on their own and conference with a partner to discuss problems on which they do not agree.

2 Let the student make a picture or sketch of the problem, or act it out.

3 Decrease the number of problems required for completion.

4 Represent the problems in a variety of ways.

5 Have students talk through or write their understanding of the process with partners Often, verbalizing assists understanding.

6 Many students cannot complete more than one or two higher-level thinking problems at

a time Have the student cut the page up, gluing the parts onto folded paper to make a booklet Alternatively, assign one or two problems a day until the page is complete.

Extensions

1 Ask students to use the page as a model and write their own problems The “write your own” activities allow students to demonstrate mastery of the concept, while providing an avenue for self-expression and self-evaluation Written on index cards with the answers on the back, the problems are great student-made additions to a math center.

2 Have students keep ongoing journals of where they encounter mathematics in real life

A goal of adding one experience a day is reasonable.

3 Ask students to solve problems using a variety of strategies

Have students evaluate which ones work best for them and

explain their preferences.

4 If appropriate, encourage students to do more than the

minimum requirements on the page For example, if two

additional examples are required, the student would create

five Set up a point system where students can earn bonus

points for additional examples.

5 Have students write clear directions to explain the process

for solving a problem and then share them with classmates.

6 Direct students to write explanations with proof for the

methods used to solve the problems.

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Write number sentences using the numbers in the balloons above Use addition,

subtraction, multiplication, and division sentences Use repeated addition or

multi-step problems If the number is used as any part of the problem, shade it

Continue until each number is used in a problem Continue on the back of this page The first problem is done for you It hits three spots on the target

Circle the correct answer or fill in the blank

I used addition problems Yes No I used subtraction problems Yes No

I used multiplication problems Yes No I used division problems Yes No

I used repeated addition or multi-step problems Yes No

It took me _ problems to hit every number in the target

Share your problems with a partner Check answers for accuracy

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Consecutive Number Add Up

Place the numbers in the grid so that the sums of the numbers in each row and

column are the same Write the sum on the line after each row and below each column

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14 20 21 2

16 22 3 9

On a separate sheet of grid paper, use the patterns to write the numbers 10–35 in

a 5 x 5 grid The sum of each row and each column must be the same Write the sum

on the line after each row and below each column

bottom row, 1 right

diagonal right

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Name

Fill in the Digits

addition, subtraction, and problem solving

Add or subtract Find the missing digits

• Make your own problems

• Check for accuracy with a

calculator

• Copy the problems into the boxes

below on the right

• Leave the shaded boxes blank

• Fold the paper back along the line

• Trade with a friend

• Add or subtract

• Find the missing digits

• When you are done, check your work

57

2 +

67

7

2

3+

03

5 6–

35

6+

1

62

5

5–

8

Name Name

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Make your own

1 Choose the size grid with which you want to work

2 Fill the grid with numbers

3 Write a problem for each horizontal answer

4 Write a problem for each vertical answer

5 Check your problems with a calculator

6 Rewrite your problems neatly onto paper

7 Glue on a piece of grid paper the size of your grid

8 Write the answers on the back

9 Trade with a partner and solve

796 – 612

B

E

113 + 251

986 – 513

3,996 – 2,342

2,123 + 4,312

5,978 – 2,553

H

J

L

N

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2 3 6

2 7

6

3 2 5

Compare your answers with your

partner Put a check mark next to the

number sentences you both have

Star those only you have

number sense, problem solving

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• Anna is not the youngest child in the family.

• Ellie’s age is not an even number

• Drew’s age is a multiple of three

Use the ages of the children shown in the grid Write a number sentence whose answer

is that number Think of more number sentences Write each on a new line If you need more space, use the back of this page

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Extension:

How would the combinations change

if Maddie had additional choices, for

example: a red collar, blue collar,

and black collar? Determine other

combinations and draw the choices

Check your answers with a partner

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What’s for Lunch?

logic and problem solving

Zoe is making her lunch She needs a sandwich, fruit, and drink Zoe wants to know her possible lunch combinations Look at the pictures to see her choices

How many different combinations does Zoe have with her lunch choices? Using 1 item

at a time from each category, draw or write all possible combinations

sandwich A sandwich B fruit A fruit B fruit C drink A drink B peanut butter jelly banana apple grapes milk orange juice

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apple banana carrots celery

Kalio and 3 friends each brought a healthy snack to school Use the information and the matrix to find out who brought each snack

• Mafra brought a yellow snack that grew on a tree

• Nefty ate a fruit, but it wasn’t an apple

• The edible part of Kalio’s vegetable

is not found underground

Kalio’s snack is a _

Liam’s snack is a _

Mafra’s snack is a

Nefty’s snack is a

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• Pran’s seeds will grow into a vine plant.

• Quincy’s seeds will produce the tallest plant

• Reba did not plant tomato seeds

• Pran did not plant watermelon seeds

Ovie’s seeds will grow

Pran’s seeds will grow

Quincy’s seeds will grow _

Reba’s seeds will grow _

sunflower tomato watermelon

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Adding Words

addition with multiple addends, problem solving

Use the table Give each letter in the word a number value Add the numbers to find the total value of the word

6 Write 4 words with

a value less than 7

7 Write 4 words with

a value greater than 20

8 Compare your words with those of a partner

What is the word with the largest value? _

9 Write a sentence Find the total value of the words

10 Write a sentence with a value greater than 50

Compare your sentence with the sentence of a partner

11 Who has the sentence with the greatest value?

12 Does the person with the most words have to have the greatest sum? _ Explain

_ _ _ _ _ _

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Riddles

problem solving and logical thinking

Read carefully to solve each number riddle Write your answer in the box

1 Subtract 9 from me Subtract 8, then add 2 You get 3 What number am I?

2 Add 1 to me Subtract six, then add 2 You get 8 What number am I?

3 Add 4 to me Then add 6 and subtract 9 You get 7 What number am I?

4 Add 3 to me, subtract 8, then add 1 Subtract 5 more and you get 5

10 If you divide me into 8 equal parts, you get 3 What number am I?

11 If you multiply me by 5 and add 6, you get 21 What number am I?

12 If you divide 14 by me and add 3, you get 5 What number am I?

Think of more riddles Write them on the back of this page Start with a number Add or subtract numbers Keep track of each answer and add or subtract again When you have done this three or more times, write “You get What number am I?” Check your problems for accuracy Copy the riddle onto a card Write the answer on the back Share it with a partner

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Order Up

sequencing, logic, and problem solving

Cut out the object cards Read the clues Place the cards in order The first object is always on the left Fold a piece of paper to make a booklet with 4 pages Glue the clue and object cards into the booklet

1 Willie has 3 sisters Nellie is not the

youngest Ruthie is older than both

Nellie and Janie The youngest sister

is on the left

2 Ellis read 4 books He read the biography before the fairy tale or animal book The animal book was not read last He read the mystery before the biography

3 Order the things Mikaela did in the

morning She read a book before

science Lunch was eaten after she

finished all of her work She worked on

math first thing

4 Jade has 5 stuffed animals across her bed The monkey is before the owl and hippo The bird is in the center The dog is between the hippo and owl The cat is not first

The Life of J.K

Rowling

The Case

of the Missing Keys

Jack and the Bean Stalk

Bears, Bears, Bears

Nellie

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Order It Up Again

sequencing, logic, and problem solving

Draw the objects and write their names in the boxes to make object cards Cut out the cards Read the clues Place the cards in order The first object is always on the left Fold a piece of paper to make a booklet with 4 pages Glue the clue and object cards into the booklet

1 Cleo has 3 beads on her bracelet

The middle bead is not the green

one The yellow bead follows the

blue and green ones

2 Dillon wrote a 4-digit number The first and third digits are the same If you add the first and third digits together, you get the last digit The second digit

is the smallest digit No digit is odd No digit is 0

3 Pete ordered the items in his pocket

The key is before the dime The rubber

band is between the key and gum

The dime is third

4 Uriel lined up his 5 paint pots Orange and green touch the primary colors from which they are made Red comes before blue

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Ages

problem solving and logic

Use the clues to find each person’s age

1 Ellie was asked how old she is She

said, “In 2 years I will be twice as

old as I was 4 years ago.”

2 Mellie has an older brother, Esi, and

a younger sister, Kally Mellie’s age

is halfway between the other two

Her brother is half as old as 3 times

her age Esi is 3 times older than

their youngest sister

3 Double Jose’s age, then multiply it

by Jasmine’s age to get Abi’s age

Abi’s age in years is the same as

Jose’s age in months

4 If Fiona’s age is doubled, you get Obed’s age Sam’s age added to Nina’s age is equal to Fiona’s age If you multiply Sam and Nina’s ages, you get Obed’s age Nina is not the youngest

How old is Fiona?

How old is Nina? _

How old is Obed?

How old is Sam? _

Jose is Abi is _ Jasmine is

How old is Ellie?

How old is Mellie? _

How old is Esi?

How old is Kally?

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Determining Certainty

probability and logic

How likely is each event? Write certain, impossible, or maybe.

3 First pick elephant, lion, or giraffe

5 First pick lion, next pick elephant

6 One giraffe out, next pick giraffe

7 One giraffe and one lion out, next pick elephant

11 First two picks birds, last pick fish

12 Two fish and two birds out, next pick fish

18 One spider, two ants, and one butterfly out, next pick butterfly

19 Five butterflies out, next pick spider

20 All butterflies and an ant out, next pick ant

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Is It Certain?

probability and logic

How likely is each event? Write certain, impossible, or maybe.

Color 3 yellow Color 1 green Color 1 blue

3 One green out, next pick green _

4 One green and one blue out, next pick yellow _

5 Three yellow out, next pick blue _

Color 2 red Color 4 black Color 3 white Color 1 brown

8 One brown out, next pick brown _

10 Three white and four black out, next pick white _

Color 6 yellow Color 3 orange Color 1 green

14 Six yellow out, next pick orange _

15 One green and three orange out, next pick yellow _

Fill in the directions for coloring the pencils Write three possible

events related to the pencils Answer each with certain, maybe,

or impossible Fold the answers back Trade with a friend.

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Hide and Seek

Use the clues to find out where each insect friend is hiding in the grid

Each bug is in a different box Glue the insect cutout in the spot

Hum: I am in the center square

Ugg: I am in the same row as Hum and the same column as Insy.Bea: I am the only one in my row Ant shares my column

Nat: I am in row 3 I share my column with Hum

Ant: I share my row with Insy

Insy: I share my row with Nat I am in the column after Hum

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