0 q w e r +u +u +u +u +u __ __ __ __ __ t y u i o +u +u +u +u +u __
Transcription
0 q w e r +u +u +u +u +u __ __ __ __ __ t y u i o +u +u +u +u +u __
Name Directions: Begin with the first numeral, and use a pencil to touch and count the TouchPoints in the correct order. Then write the answer (sum). Say the problem and answer quietly. 0 +u __ t +u __ i +u __ q +u __ y +u __ o +u __ 7+7= __ 3+7= __ © TouchMath Upper Grades Addition Kit w +u __ u +u __ w +u __ P u z z le r e +u __ i +u __ t +u __ r +u __ o +u __ r +u __ 6+7= __ 1+7= __ Adding Seven 7 Name Directions: Write the number of tens and ones below each problem. Tens Ones Tens Ones Tens Ones Tens Ones 40 Tens Ones Tens Ones Tens Ones Tens Ones Tens Ones Tens Ones Tens Ones Tens Ones Puzzler Tens Ones + = Tens Ones + © TouchMath Upper Grades Addition Kit Tens = Ones + Tens = Ones + = Place Value – Tens and Ones 35 Name Directions: Solve the following problems, regrouping when necessary. Cross out the boxes you don’t need. 1 x lla w4t +7e7 ____ 9 82 lla 389 +ert ____ lla 49i +wi9 ____ lla w4y +6r7 ____ lla 47w +rw6 ____ lla ww7 +58r ____ lla qwe +575 ____ lla ert +567 ____ lla 55r +qt7 ____ lla 4qw +w74 ____ H H H T T T O O O H H © TouchMath Upper Grades Addition Kit H T T T O O H H T T O O H H T T O O O P u zzle r 351 +285 ____ 625 +189 ____ Adding Three Columns With and Without Regrouping 129 Name Directions: Solve the following problems through the thousands (TH) column, regrouping when necessary. a e675 +5rer _____ a 57tt +qw86 _____ a q879 +4yqw _____ a w78r +3ti6 _____ a 5w65 +q6tq _____ a 67t9 +qe7q _____ a wi6t +49r6 _____ a 54u3 +ww9q _____ TH TH H H T T O O a 26tu +wt89 _____ TH H T O TH TH H H T T O O a 6e98 +q7oy _____ TH © TouchMath Upper Grades Addition Kit H T O TH TH H H T T O O TH TH H H T T O O P uz z le r Expand 3,465. + + + = What number is 9<000+300+80+5? 00000 Adding Four Columns With and Without Regrouping 155 Name Directions: Multiply the first number in the ones column by the multiplier. Write the number of tens in the regrouping box; then write the number of ones below the ones column. Next multiply the tens column, add the regrouped number, and write the answer. +la 1 wr \ 3 ___ 72 la et \ 3 ___ la wi \ 2 ___ la qr \ 3 ___ la qu \ 2 ___ la wy \ 3 ___ la tt \ 3 ___ la ry \ 2 ___ la ei \ 2 ___ la wt \ 3 ___ Tens Ones Tens Ones Tens Ones Tens Ones Tens Ones Tens Ones © TouchMath Upper Grades Multiplication & Division Kit 2 Tens Ones Tens Ones Tens Ones Tens Ones P uzzler 67 \ 2 ___ 25 \ 3 ___ Multiplying by One Digit With Regrouping 11 Name Directions: Skip count by the divisor up to the dividend, making tally marks in the box as you say each number. When you cannot continue skip counting, count by one to the dividend making a dot outside of the box for each number you count. Write the answer and remainder. ;' ;' ;' ;' 6,. 44 3,. 11 8,. 66 7,. 38 ;' ;' ;' ;' 3,. 28 5,. 27 6,. 58 4,. 35 Directions: Convert the improper fractions to mixed numbers. Divide the numerator (top number) by the denominator (bottom number). Write the whole number answer and write the remainder as the numerator in the new fraction. The denominator stays the same. ;' 5 = _ _ 2 __ ;' 24 = _ __ 5 __ ;' 37 = _ __ 6 __ ;' 17 = _ __ 4 __ ;' 29 = _ __ 7 __ ;' 46 = _ __ 9 __ © TouchMath Upper Grades Multiplication & Division Kit 2 Converting Improper Fractions 54 Name Directions: Multiply by the bottom number in the ones column; then multiply by the bottom number in the tens column, regrouping when necessary. When multiplying by the tens write the zero place holder in the ones column on the gray answer line. Add the numbers to find the answer. H T O mma tyu \ 93 ____ 1701 +51030 _____ 52731 H T + + _____ O mma iii \ 66 ____ _____ O mma rty \ 74 ____ 6 6 2 2 H T H T _____ © TouchMath Upper Grades Multiplication & Division Kit 2 T O mma yyo \ 85 ____ + _____ O mma uyt \ 56 ____ + H H T O + mma tui \ 47 ____ _____ Multiplying Three Digits by Two With Regrouping 116 Name Directions: Touch the TouchPoints on the first numeral as you skip count by three. After writing the answer, say the problem and answer quietly. 3 6 9 12 15 18 21 24 27 30 0 \3 __ q \3 __ w \3 __ e \3 __ r \3 __ t \3 __ y \3 __ u \3 __ i \3 __ o \3 __ u \3 __ e \3 __ o \3 __ r \3 __ w \3 __ 3\5= __ 3\0= __ P uz z le r © TouchMath Upper Grades Multiplication & Division Kit 1 3\8= __ 3\6= __ Multiplying by Three 30 Name Directions: No guessing! If you know the answer to each problem, write it down. If not, count by the divisor up to the dividend making a tally mark in the box as you say each number. Count the tally marks and write the answer. Say the problem and answer quietly. ;' ;' ;' ;' 1,. 4 4,. 36 5,. 20 2,. 14 ;' ;' ;' ;' 3,. 9 5,. 35 4,. 16 3,. 18 ;' ;' ;' ;' 2,. 18 5,. 40 4,. 24 1,. 7 ;' ;' ;' ;' 5,. 45 4,. 32 5,. 25 3,. 21 16d2= __ 24d3= __ P uz z le r © TouchMath Upper Grades Multiplication & Division Kit 1 28d4= __ 30d5= __ Dividing by One to Five 93 Name Directions: The letter "x" can stand for any number. When a numeral and an "x" are written next to each other, it means multiply. In the following equations "x" is unknown. You must divide to find the value of the "x". If 6x=30 Then x= ___ (Think: 30d6=5) If 6x=42 Then x= ___ (Think: 42d6) If 6x=18 Then x= ___ (Think: 18d6) Check: Check: Check: \ = __ __ ___ \ = __ __ ___ If 6x=36 Then x= ___ Check: If 6x=48 Then x= ___ Check: If 6x=24 Then x= ___ Check: \ = __ __ ___ \ = __ __ ___ \ = __ __ ___ If 6x=30 Then x= ___ Check: If 6x=54 Then x= ___ Check: If 6x=12 Then x= ___ Check: \ = __ __ ___ \ = __ __ ___ \ = __ __ ___ If 6x=6 Then x= If 6x=0 Then x= If 6x=42 Then x= ___ Check: 5 \ 5 =30 6 __ __ ___ Check: ___ \ = __ __ ___ Check: ___ \ = __ __ ___ © TouchMath Upper Grades Multiplication & Division Kit 1 \ = __ __ ___ Pre-Algebra – Equations 112 Name Directions: Rename the following fractions by dividing the numerator (the top number) and the denominator (the bottom number) by 9. 9 out of 18 sections of the first circle are shaded. Since the numerator (9) and the denominator (18) can both be divided by 9, rename this fraction by dividing them by 9. 9 numerator __ [[_____ 18 denominator 9 1 = __ 18 _ 2 9d9= 1 [[__ [ 18d9= 2 These two fractions are equal. 9 1 =_ __ 18 2 9 =_ __ 45 9 =_ __ 27 9 =_ __ 72 9 =_ __ 81 9 =_ __ 36 9 =_ _ 9 9 =_ __ 54 9 =_ __ 63 1 or © TouchMath Upper Grades Multiplication & Division Kit 1 Renaming Fractions – Nines 182 Name Directions: Skip count by 6 to 60 three times to go through the maze. 50 24 28 6 3 48 19 30 18 54 12 13 7 56 36 22 35 28 24 63 30 44 60 6 42 42 62 12 40 11 18 52 20 48 54 46 20 18 8 24 12 6 22 10 36 30 60 32 62 40 60 62 36 42 54 40 46 50 56 48 © TouchMath Upper Grades Skip Counting Kit Skip Counting by 6 52 Name Directions: Make an X in each square containing numerals in the 7s sequence as you count by 7 to 70 five times. Then copy the letters from the marked boxes in order to the lines below. What did the dentist say to the judge? x I x 7 C F D ' C M J D L M K C L 9 10 15 14 17 19 20 23 21 25 27 31 28 D C P M J C F U K J C L F C P L Q K D T C P J DF H K J M R P E C K J T F M D K O C F 33 34 35 36 38 39 40 42 45 46 47 49 50 52 54 56 57 58 60 63 64 66 67 68 70 72 74 76 9 8 7 6 13 15 14 17 19 20 22 21 25 27 O V Q T R F J M H P K F J T V J H R K J E C R D P W V K Q 6 H R O P K V L P E J C T M 7 10 14 19 23 22 21 23 28 33 34 35 33 V R O M C O V K M T R Q K H A R D C 6 N K F D D C F J N Q 7 10 12 13 14 18 20 22 21 26 X C O P F C T J V K H C B M I P M C J N K M C G F Q C B X Q C U J F V T X K F T J P 28 33 34 35 36 37 39 40 42 44 45 47 48 49 52 55 56 57 58 61 63 64 65 63 68 70 72 73 36 40 42 44 47 49 50 51 52 56 57 59 61 63 70 71 4 27 30 28 34 32 33 35 36 39 40 42 40 43 44 49 50 54 51 52 56 58 59 60 63 64 68 72 70 5 4 6 7 9 11 15 14 17 20 22 21 26 27 H V E P F T J Q C X O M P C D X K O C Q J D T C M F D H 28 34 35 37 38 42 40 41 43 45 49 47 48 50 52 51 53 56 55 58 59 60 63 64 65 68 71 70 I ' , , . © TouchMath Upper Grades Skip Counting Kit Skip Counting by 7 75 Name Directions: Write the missing numerals in each row for that sequence. 2 7 ___ 14 ___ ___ ___ 14 ___ ___ 4 ___ 6 ___ ___ 4 ___ 10 ___ ___ 6 8 ___ ___ 12 16 ___ 18 ___ ___ ___ ___ 9 ___ ___ 16 ___ 24 ___ ___ © TouchMath Upper Grades Skip Counting Kit ___ 35 ___ 35 30 ___ ___ ___ ___ ___ 12 ___ ___ ___ 36 24 12 ___ 30 18 ___ 49 28 ___ ___ ___ 14 ___ ___ ___ 16 ___ 32 56 48 ___ ___ 48 40 ___ 18 63 ___ 63 ___ 36 ___ ___ 40 ___ ___ ___ ___ ___ ___ ___ ___ ___ ___ Review 30 79 Name Directions: Read the statement, and write the correct answer for each problem. 1. I always end in an even number. The fifth number in my sequence is 30. What number sequence am I? _______ 2. Every other number in my sequence is an odd number. The sixth number in my sequence is 54. What number sequence am I? _______ 3. I am I am One One a two-digit number. in the 8s sequence. of my digits is 2. of my digits is 3. What number am I? _______ 4. I am an odd number. I have two digits. The sum of my digits is 8. I am in the 5s sequence. What number am I? _______ 5. I am a two-digit number. I am the seventh number in either the 7s or 8s sequence. I am an odd number. What number am I? _______ Answers 49 © TouchMath Upper Grades Skip Counting Kit 9s 35 6s 32 Review 128 Name Directions: Touch the top numeral, say its name, and count backward on the TouchPoints of the bottom numeral in the correct order. Write the answer (difference). Then say the problem and answer quietly. 4 -r __ 9 -r __ 10 -r __ 5 -r __ 10 -r __ 8 -r __ 4-4= __ 7-4= __ © TouchMath Upper Grades Subtraction Kit 6 -r __ 11 -r __ 9 -r __ P uz z le r 7 -r __ 12 -r __ 11 -r __ 8 -r __ 13 -r __ 12 -r __ 13-4= __ 6-4= __ Subtracting Four 34 Name Directions: Ring the sign before beginning each problem, and decide if you will be adding or subtracting. Then solve the problem, and write the answer. 12 -y __ 7 +t __ 4 +w __ 17 -o __ 9 +e __ 11 -t __ 0 -0 __ 16 -u __ © TouchMath Upper Grades Subtraction Kit 16 -i __ 7 +r __ 12 -t __ 5 +r __ 14 -u __ 10 -t __ 10 -i __ 8 +r __ 9 +o __ 18 -o __ 14 -y __ 6 -e __ Mixed Adding and Subtracting Challenge 58 Name Directions: Start on the side with the arrow. The arrow is on the right side. Subtract the ones column, and write the answer. Then subtract the tens column, and write the answer. a 19 -qt ___ a 80 -r0 ___ a 35 -qt ___ a 77 -uu ___ a 27 -qr ___ a 99 -uy ___ a 67 -rw ___ a 38 -qt ___ Tens Tens Ones Ones 98 -76 ___ Tens Tens Ones Ones 76 -55 ___ © TouchMath Upper Grades Subtraction Kit Tens Tens P uz z le r Ones Ones 86 -11 ___ Tens Tens Ones Ones 56 -12 ___ Subtracting Two Columns Without Regrouping 99 Name Directions: Solve the following problems through the thousands (TH) column, regrouping when necessary. Cross out the regrouping lines you don't need. jjja 9638 -wuuw _____ jjja 8632 -tiqu _____ jjja 7418 -ripr _____ jjja 6000 -rowu _____ jjja 6048 -wiue _____ jjja 3575 -qiwi _____ jjja 8697 -tiyw _____ jjja 7648 -eiyo _____ TH TH H H T T O O TH TH H H T T O O TH TH H H T T O O TH TH H H T T O O P uz z le r Subtract these numbers horizontally. 9 2 - 7 1 = ________ 3 4 2 - 2 8 5 = ________ 6 2 3 - 3 6 2 = ________ 4 5 3 - 2 0 7 = ________ © TouchMath Upper Grades Subtraction Kit Subtracting Four Columns With and Without Regrouping 178 Name Directions: Write the correct answers in the blanks. A decade equals 10 years. Have you lived more than a decade? ______ 1950 1960 1970 1980 1990 + + + + + 10 10 10 10 10 years years years years years (decade) (decade) (decade) (decade) (decade) = 1960 = 1970 = ________ = ________ = ________ 1963 1973 1983 1993 + + + + 10 10 10 10 1945 1955 1965 1975 1985 years years years years + + + + + (decade) (decade) (decade) (decade) 10 10 10 10 10 years years years years years (decade) (decade) (decade) (decade) (decade) = = = = = 1955 ________ ________ ________ ________ = 1973 = ________ = ________ = ________ A century equals 100 years. Some people live 100 years. 1500 1600 1700 1800 1900 + + + + + 100 100 100 100 100 years years years years years (century) (century) (century) (century) (century) = 1600 = 1700 = ________ = ________ = ________ A half-century is 50 years. 1700 1750 1800 1850 1900 1950 + + + + + + 50 50 50 50 50 50 years years years years years years (half-century) (half-century) (half-century) (half-century) (half-century) (half-century) = = = = = = 1750 1800 ________ ________ ________ ________ A quarter century is 25 years. 1875 1900 1925 1950 1975 + + + + + 25 25 25 25 25 years years years years years (quarter (quarter (quarter (quarter (quarter © TouchMath Upper Grades Time Kit century) century) century) century) century) = = = = = 1900 1925 ________ ________ ________ Decades and Centuries 131 Name Directions: Read each problem. Trace the lines below the picture as you skip count. Multiply the problem. Rewrite the answer on the lines. Work the puzzler. r \5 __ 1. There are 4 sets. There are 5 apples in each set. Touch the dots and count by 5. How many apples are there in all? Answer _________ ______________________ 5 10 15 20 t \5 __ 2. There are 5 sets. There are 5 lemons in each set. Touch the dots and count by 5. What is the number of lemons altogether? Answer _________ apples apples sets lemons lemons ______________________ 5 10 15 20 25 o \5 __ 3. There are 9 sets. There are 5 berries in each set. Touch the dots and count by 5. What is the total number of berries? Answer _________ sets ______________________ sets berries berries 5 10 15 20 25 30 35 40 45 P u z z le r Sequence count by 5 to 50. 5 ______ ______ ______ ______ © TouchMath Upper Grades Word Problems Kit 2 ______ ______ ______ ______ ______ 50 ______ Multiplying With Pictures 4 Name Directions: Read the story and answer the questions below the story. Mrs. Dilly spent an entire week canning pickles. It was hard work to be sure the jars and lids were clean and to make the pickles. Mrs. Dilly finally finished on Saturday! Show Your Work When Mrs. Dilly counted the jars, she had 25 jars of sweet pickles and 7 times as many of sour pickles. She took the pickles to the basement and stored them on her 8 pickle shelves. Unfortunately, a cat got in the basement and broke some of the pickle jars! Now Mrs. Dilly will have to pickle more pickles. 1. What was the total number of jars of sour pickles Mrs. Dilly canned? Answer _________ ______________________ 2. If Mrs. Dilly could store 12 jars of pickles on each shelf in the basement, how many jars could be stored in all? Answer _________ ______________________ 3. There were 9 sweet pickles in each jar. How many sweet pickles did Mrs. Dilly can? Answer _________ ______________________ 4. The cat in the basement knocked 14 jars of sour pickes off the shelf, and the jars broke! If there were 7 pickles in each jar, how many pickles were ruined? Answer _________ ______________________ 5. There were 14 people in Mrs. Dilly's book club. If she took 2 jars of sweet pickles and 2 jars of sour pickles for each person, how many jars would she take for the members? Answer _________ ______________________ P u zzle r Write the number. One thousand two hundred = ______________________ Two thousand three hundred = ______________________ One thousand twenty = ______________________ Two thousand thirty = ______________________ One thousand two = ______________________ 1,200 © TouchMath Upper Grades Word Problems Kit 2 Multiplying Two Columns With Regrouping 60 Name Directions: Read each problem. Write the correct numbers in the boxes, then find the answer. Rewrite the answer on the lines. Work the puzzler. 1. The school band is practicing. There are 6 students playing the drums, 7 playing the horns and 9 playing the flutes. What is the total number of students playing the horns and flutes? Answer _________ ______________________ 2. There are 6 baton twirlers at the front of the band. 8 times that many students march in the band. How many students march in the band? b +b __ b \b __ k -b __ ;' horns flutes students twirlers students Answer _________ ______________________ students 3. If there are 17 students who march in the band and 9 get sick, how many will be left to play? Answer _________ ______________________ students students students 4. If there are 72 marching students and there are 8 in each row, how many rows of marchers would there be? Answer _________ P u zzle r ______________________ ,.. rows students Write a subtraction word problem using the numbers 17 and 12. ___________________________________________________________________________________ ___________________________________________________________________________________ ___________________________________________________________________________________ ___________________________________________________________________________________ © TouchMath Upper Grades Word Problems Kit 2 Mixed Twos – Nines 132 Name Directions: Finding averages often requires the two steps of addition and division. Read each problem. Write the correct numbers in the work space, then find the answer. Rewrite the answer on the line. Work the puzzler. 1. In the distance race, Rudy rode his bike 16 miles. Alton rode his bike 18 miles and Jennifer rode hers for 14 miles. What was the average number of miles ridden in the race? _________ Show Your Work 2. Craig ran 23 yards, Keith ran 41 yards, Vance ran 44 yards and Rodney ran 32 yards in Saturday's football game. What was the average number of yards for the 4 players? _________ 3. Samuel practices the trumpet 3 hours on Monday, 2 hours on Tuesday, 3 hours on Wednesday, 4 hours on Thursday, 0 hours on Friday, 2 hours on Saturday and 7 hours on Sunday. What is the average number of hours Samuel practiced per day? _________ 4. Sarah, Elizabeth, Rebecca and Samantha were beginning a babysitter's club. During their first week, Sarah babysat 4 hours, Elizabeth babysat 10 hours, Rebecca babysat 8 hours and Samantha babysat 2 hours. What is the average number of hours the 4 girls babysat their first week? _________ 5. Derek's first 3 test scores in English this year were 93%, 74% and 88%. What is his average so far? _________ P u zzle r Find the area of the triangles. 8 cm 6 ft. 11 ft. k ____ ____ © TouchMath Upper Grades Word Problems Kit 2 9 cm k ____ ____ 10 dm 40 dm k ____ ____ Finding Averages 182 Name Directions: Read each problem. Write the correct numbers in the boxes, then find the answer. Rewrite the answer on the lines. Work the puzzler. 1. At the dog park there were 8 big dogs and 7 little ones. 3 of the dogs had spots. Find the sum of the dogs that were big and little. Answer _________ ______________________ b +b __ big dogs little dogs dogs 2. Think It: Which number was not needed in problem 1? Answer _________ 3. A poodle had 5 black puppies and 3 white puppies. What was the total number of puppies? Answer _________ ______________________ 4. There were 9 puppies at the park. A woman brought 4 more puppies to the park. Now how many puppies are at the park in all? Answer _________ ______________________ b +b __ b +b __ black puppies white puppies puppies puppies puppies puppies P uzzler 8+r+e+u+q+e+t=k t+9+t+e+u+i+r+0=k © TouchMath Upper Grades Word Problems Kit 1 Adding Zeros – Nines 6 Name Directions: Read the story and answer the questions below the story. It’s an exciting day for Max! He is fifteen years old today and he’s having a birthday party in the park this evening. Max and his friends, Ken and Janice, are getting things ready. Show Your Work It takes 167 minutes for Max and Ken to set up the tables and chairs so that everyone will have a place to sit and eat. They set up 127 tables and each table has two chairs. The others will sit on benches and blankets. The colorful red tabletops and balloons they tied to the chairs make things look very festive. They all had a needle and thread and made the strings to hang from the trees. It takes 134 minutes to make the popcorn strings. Max‘s string has 225 pieces of popcorn. Ken’s string has 346 and Janice’s string has 262. Just before the party starts, they start cooking the hotdogs. That takes 119 minutes. Max knows he has invited 114 girls and 166 boys in all. He bought enough hot dogs for each person to have three. It is hard to clean up the mess, but, sure enough, the birds eat all of the popcorn, so that makes it easier. 1. What was the sum of the minutes it took Max and his friends to prepare for the party? _________ 2. How many hot dogs did Max have for his friends at the party? _________ 3. How many pieces of popcorn did the birds eat from the strings in the trees altogether? _________ 4. How many chairs were there for people to sit on? _________ 5. What was the total number of guests Max invited to the party? _________ P uzzler 315 +135 ____ © TouchMath Upper Grades Word Problems Kit 1 265 +174 ____ 423 +564 ____ Adding Three Columns With Regrouping 90 Name Directions: Read each problem and circle the missing subtraction word that would work in the problem. Next, write the correct numbers in the work space, then find the answer. Rewrite the answer on the lines. Work the puzzler. Show Your Work 1. A Falabella horse is smaller than a yardstick! Mr. and Mrs. Saddleboot own a farm with Falabella horses. Their largest horse is 32 inches tall. Their smallest horse stands 23 inches tall. What is the ______ in the size of the two horses? add Answer _________ subtract difference ______________________ 2. The Saddleboots have 36 male and 45 female Falabellas. How many ______ females do they have than males? total Answer _________ more subtract ______________________ 3. Think It: How many small horses do the Saddleboots own? Answer _________ ______________________ 4. If there are 81 total small horses and Sissy Saddleboot takes care of 59 of the tiny horses all by herself, what is the ______ between the number cared for by Sissy and those cared for by others? difference more in all Answer _________ P uzzler k -15=30 k -7=20 k -5=40 k -9=12 © TouchMath Upper Grades Word Problems Kit 1 Subtracting Two Columns With Regrouping 125 Name Directions: Read each problem. Write the correct numbers in the work space, then find the answer. Rewrite the answer on the line. Work the puzzler. What Are Your Favorite Fries? French Curly Waffle Shoestring Wedges 2,542 2,385 908 1,240 648 1. How many more people like french fries than curly fries? _________ 2. How many fewer people like wedges than shoestring fries? _________ 3. How many people like waffle fries and curly fries altogether? _________ 4. How many people voted for their favorite fries? _________ 5. How many people total like shoestrings and wedges? _________ Puzzler How many minutes in 1 hour? _________________ How many hours in 1 day? _________________ How many inches in 1 foot? _________________ How many feet in 1 yard? _________________ How many quarts in 1 gallon? _________________ © TouchMath Upper Grades Word Problems Kit 1 Mixed Four Columns With and Without Regrouping 199