Sagamore Math Tournament

Fernbank Practice Mini-Tournament

January 19, 2009

Grade 4

1

Tournament Format

Morning rounds

• determine who advances to the cipher round

• timed, individual written tests

TEST TIME PROBLEMS WORTH ADVICE

Computation 20 min 40 10 each Hard & Long! Sec-ond Half 5th grade level!Work quickly but care-fully. Circle hard prob-lems to come back to, Xout problems you don’tunderstand. Collect asmany easy and mediumpoints as you can! Halfcorrect is great!

Challenge 20 min 20 20 each Not so long, second half5th grade level. Trickyproblems, often need 2steps. After first calcu-lation, recheck problemto see what next, whatquestion you need to an-swer.

Speed 5 min 150 1 each Arithmetic, Squares,Square Roots, Fraction- Decimal - Percentconversions. Like MadMinute, do as many aspossible. Skip long ones.

2

Afternoon rounds

Team Test Just for fun! 20 minutes in a group,10 hard questions.

Cipher Round

• top 25 students in each grade

• in auditorium with audience

• 10 questions, same for grades 4 and 5

• 2 minutes each question, hold clipboard upwith answer

• first minute: 5 points, second minute: 2 points

Medals! top 25/grade

Trophies! top 5 schools, each grade and overall

3

Tournament topics Grade 4

ADDITION regrouping, big numbers, list of numbers

SUBTRACTION regrouping, big numbers

MULTIPLICATIONbig numbers, regrouping, special: × 1, ×0

primes, factors, least common multiple

DIVISION big numbers, remainders, divisibility/factors

PARENTHESES order

FRACTIONS Recognize, add, subtract, multiply, simplest form

DECIMALS and PERCENT use, conversions (to fractions)

SEQUENCES which number next in the pattern

MONEY Coins, dollars and cents, $1.75 notation

TIME minutes, hours, days, weeks, 3:40 notation, differences

MEASUREMENT inches/feet/yards, cups/pints/quarts/gallons,metric k/c/m

GEOMETRY area, perimeter, intersection

WORD PROBLEMS many, for any of the problems above!

4

Notations

8 + 9 =8

+9 36− 15 =36

−15

8 + = 17 36− = 11

4 × 3 =4

×3

3 ) 15 R6 ) 45

60% of 40 = 15 is % of 20

5

Sagamore Math Tournament

Grade 4 prior tests (given 1/26/08)

Fernbank practice 1/19/09

6

Math Computation Test Grade 4 1 $8.17 x 6 = _______

2 7 x 4339 = _______

3 ____R___ 7 ) 45

4 _____R___ 8 ) 723

5 16 qts. = _____ gal.

6 Write in simplest form. 8 _ 4 = 9 9

7 5.06 – 2.47 = ______

8 6216 – 379 = ________

9 $.25 x 15 = $________

10 489 + 839 + 1378 = ______

11 Bill had $8.00 and bought lunch 3 times for $1.55 each. How much did he have left?

12 Maria wanted to buy one pencil. They were on sale for $.80 for 5 pencils. How much would one cost?

13 A square has a side of 5 inches. What is the perimeter of the square? _______ inches

14 There are 144 pencils in a box. How many are in six boxes?

15 The temperature was 27 degrees in the morning. It rose 36 degrees. What was the temperature then?

16 6 quarters, 5 dimes, 4 nickels, 7 pennies. How much money? $ _____________

17 8 feet = _____ inches

18 8 cups = ______ pints

19 7 hours = ______ minutes

20 A rectangle has sides of 8 inches and 11 inches. What is the area? ______ square inches

Be sure all of your answers are recorded on the answer sheet. Go on to the next page.

21 678 x 93

22 56280 - 9382

23 ______R___ 7 ) 5303

24 _____R___ 27 ) 459

25 _____R___ 37 ) 4109

26 470 mm = _____ cm

27 6 lb. 11 oz. = ____ oz.

28 10,000 liters = _____ kl

29 8 g = ______ mg

30 16 cm 5 cm | | Perimeter = _____ cm

31 Write all the answers in simplest form. 7 x 1 3 9

32 3 x 12 = ______ 4

33 5 9 3 + 9

34 2 5 2 + 3

35 4 7 1 -- 5

36 Mark ate two-thirds of six different candy bars. If you put the pieces left together how many candy bars would it make?

37 16 students drank 250 ml each. How many liters total did they drink?

38 Mr. Jones sold 16 CDs for $12 each. If he keeps one-fourth of the money as profit, what did he keep?

39 What is the next number? 49, 64, 81, ______

40 Give the answer in simplest form. 3 + 5 = 12 8

Be sure all of your answers are recorded on the answer sheet. You may keep this page.

Math Problem Solving Challenge Test Grade 4

1 42 hours after 3:00 is ___________

2 215 x 5 = 25 x _______

3 6 x _____ = 63 - _____ What number could fit in both blanks to make a true statement?

4 Amy left her house at 1:55 to ride her bike. She returned 2 hours and 20 minutes later. What time was it when she returned?

5 Samantha has $85 in her savings account. She then adds $12 a month for six months. How much will Samantha have saved not counting interest?

6 The lengths of three sides of a triangle could NOT be which group of numbers? a. 5, 7, 10 b. 3, 12, 14 c. 1, 3, 5 d. 7, 24, 25

7 20 x 30 x 40 = 100 x _________

8 The price of a first class stamp is $.41. If the price goes up to $.44 for a stamp, how much more will a roll of 100 stamps cost?

9 What is the largest whole number less than 115 that can be divided evenly by 9?

10 Suppose your family drove 480 miles. If your parents drove 60 miles per hour for half the distance and 80 miles per hour for the other half and you never stopped, how many hours would the trip take?

11 How many whole numbers leave no remainder when divided into 48?

12 How many consecutive zeros are at the end of the product 25x25x25x25x8x8x8?

13 What is the smallest 3-digit number that is divisible by 2, 3, 4, 5, 6 and 7?

14 A solid cube with edges of one-foot is divided into cubes with edges of six-inches. If these cubes are stacked on top of each other, how many feet high is the stack?

15 The members of the chess team played each of the other members exactly one time. More than 25 games of chess were played. What is the least possible number of members on the team?

16 What is the sum of the prime numbers between 30 and 50?

17 2008 is a leap year. What will the 100th day of this year be?

18 On a 40 question test Joe got 80% of the questions right and Patti got 90% of the questions right. How many more correct answers did Patti get than Joe?

19 A fourth of a long stick is painted red. Two-thirds is painted blue and the remaining two feet is painted yellow. How long is the stick?

20 There are nine pieces of paper in a bowl numbered 1 through 9. Peter first removed all the numbers that divide 36 evenly. He then removed all the pieces of paper that were a prime number. What is the number on the piece of paper that is still in the bowl?

Sagamore Math Tournament

Grades 4 — 5 practice cipher round

7

Imagine that house prices quadruple every decade.

Your home is worth $ 100,000. How much will

it be worth in 4 decades?

1

1 + 2 + 3 + 4 + 5 + . . . + 18 + 19 + 20 =

2

What is the difference between

23 × 23

2

and

23 + 23

2?

3

Find the least common multiple of 8, 12, 14.

4

What is the sum of the series

2+3−4+5+6−7+8+9−10 . . . −16+17+18−19 ?

5

What is the first positive integer that has ex-

actly 5 factors?

6

Ms. Roberts’ 9 students score 81, 99, 100,

87, 92, 83, 84, 94, and 90 on her exam. What

was the median score?

7

What is the difference in the number of dough-

nuts in 60 dozen and the number of slices of

pie (8 slices per pie) in 70 pies?

8

The sides of a square are 8 inches long. If

you increase each side by 25%, by how many

square inches will the area of the square grow?

9

A house painter paints 50 square feet in 30

minutes. How many hours will it take him to

paint a wall 10 feet by 40 feet?

10

Sagamore Math Tournament

Grade 4 Team test (given 1/26/08)

only if needed, Fernbank practice 1/19/08

11

Math Team Test Grade 4

1 Jessica starts off Monday with a package of 40 cookies. She eats 2 cookies at lunch every school day and one cookie at lunch on Saturday and Sunday. How many days will the package of cookies last? 2 A painter had to paint the room number on motel rooms from 100 to 199. How many twos did he have to paint? 3 Marissa had 20 nickels, 16 dimes and 4 quarters. She put the coins into 4 stacks so that all the stacks had the same money value. What is the least number of coins Marissa could have in any one stack? 4 By placing a “4” at the right hand end (the unit’s place) of a 3-digit number, the value of the number is increased by 4828. What was the original 3-digit number? 5 If the digits 6, 5, 4, 3, 2, 1 are written in that same order over and over again, what will be the 345th digit?

6 The number 6952 is divided by a single-digit number. The quotient is a four-digit number. There is no remainder. All the digits from 1-9 are used exactly once. The divisor is _____ and the quotient is ________. __ _ _ _ _____ ) 6 9 5 2 7 In some new math & and # are new symbols. If A & B = A x B and A # B = A – B, what does this expression equal in simplest form? [ ( 3 & 6 ) # 4 ] # [ 3 & ( 6 # 4 ) ] = _______ 8 In the addition problem at the right, A 3 4 find, A + B + C + D + E + F ( the sum of B 1 C the six digits represented by A, B, C, D, E, F). + 5 3 D E 4 F 3 9 A full propane gas tank weighs 50 pounds. After ¾ of the gas is used up, the tank and the remaining gas weigh 26 lbs. What is the weight of the tank when empty? 10 Mr. Foley’s 6th grade class has 29 students. In order to raise funds for a field trip, 12 students in the class formed a group to have a car wash, 13 students formed a group to have a bake-sale, and 6 students did yard work. Three students participated in all three. Five did at least the car wash and the bake-sale. Four students did at least yard work and the bake-sale. Three students did at least yard work and the car wash. How many students did none of these three?