Noetic Learning Mathematics Contest

Transcription

1 Spring 2014 Noetic Learning Mathematics Contest Grade 4 45 minutes No Calculators allowed Student Name: For Teachers Use Only Number of correct answers: Score (Number of correct answers 5):

2 Page 1 1) =? 2) Max eats two cookies three times a day. There are 50 calories in each cookie. What is the total number of calories in all the cookies Max eats in one week? calories 3) It is 7:30 P.M. Uncle Bob s airplane will land in five hours and forty-five minutes. What time will Uncle Bob s airplane land? Please specify A.M. or P.M. in your answer. 4) Blake and Daniel are standing in the lunch line at their school. Blake is 8 th from the front of the line. Daniel is 4 th from the back of the line. Daniel is right in front of Blake. How many people are there in the lunch line? people 5) Cooper, James and Andrew are on the same basketball team. Their team scored a total of 24 points last game. Cooper scored one-third of the points, James scored 7 points and Andrew scored the remaining points. How many points did Andrew score? points

3 Page 2 6) Sixty-three fourth grade students are going to the zoo. The school booked one bus that can hold 48 students. The rest of the students will travel by cars. If each car holds no more than 4 students, what is the least number of cars needed? cars 7) How many rectangles of any size containing are there in the following figure? rectangles 8) Andrea, Zoe, Leah and Madelyn are sitting in a row of four chairs. Zoe isn t sitting by Andrea or Leah. Leah has only one neighbor. Who is Leah s neighbor? 9) Carson decides to watch all the episodes of Yo Gabba Gabba! during summer break. He is planning to watch one episode every day. If he starts on Monday, on what day of the week will he finish all 57 episodes of Yo Gabba Gabba!?

4 Page 3 10) It takes an airport baggage scanner 15 seconds to scan one piece of luggage. If it can scan only one piece of luggage at a time, what is the maximum number of pieces of luggage it can scan in 15 minutes? pieces of luggage 11) Each white ball weighs the same and each black ball weighs the same. Given that the following scale balances and each black ball weighs 15g, how much does each white ball weigh? g 12) Alex, Brianna, David, Evelyn, Lori and Samuel are playing a card game. Each player is holding one card. The six cards that they are holding are shown below. Alex s number is twice as much as Samuel s and three times as much as David s. Lori s number is twice as much as Evelyn s. What number is on Brianna s card? 13) Mrs. Moore had 136 stickers. After she gave 7 stickers to each student in her class, she had fewer than 7 stickers left over. How many students does she have in her class? students

5 Page 4 14) Solve the following number puzzle. 15) After Naomi finishes organizing her own closet and her sister Morgan s closet, Naomi tells Morgan, You and I have a total of 48 shirts. If I give you 5 shirts, then we will both have the same number of shirts. No, thank you, says Morgan, I don t want any of your shirts. How many shirts does Morgan have? shirts 16) Emily has 2 dolls and 4 dresses as shown below. How many different ways can Emily dress her 2 dolls if she puts one dress on each doll? ways 17) There are only chickens and sheep in Henry s barn. Henry counted a total of 32 animal feet in his barn. If Henry doubles the number of chickens, he will have a total of 40 animal feet in his barn. How many sheep are there in Henry s barn? sheep

6 18) Dylan is going to install fence posts for his garden. His garden is 40 feet long and 30 feet wide. A post will be installed every 5 feet around the perimeter of the garden. How many posts will be needed altogether? Page 5 posts 19) In the following addition problem, the same letters represent the same digit and different letters represent different digits. What 2-digit number does represent? 20) A neighborhood has a total of 233 houses. Among them, 158 houses have basketball hoops, 64 houses have swimming pools, and 18 houses have both. How many houses in this neighborhood have neither a basketball hoop nor a swimming pool? houses ~ The End ~