Noetic 2017
What is 2017 X 3 =
6,501
Mason turned 18 years old on January 7, 2017. In which year will he turn 45 years old?
2044
2) Rachael always walks at a speed of 3 miles per hour. How many minutes does it take her to walk one mile? Answer: __________ minutes
20 minutes
12) Solve the number riddle: “I am a 3-digit whole number that is divisible by 2, 5, and 13. The sum of my digits is 7. What number am I?” Answer: __________
520
1) What is the remainder when 2019 is divided by 5? Answer: __________
403 R 4
Final answer: 4
Kathleen bought a bouquet of 6 flowers and a vase for a total of $29.00. Flowers were sold for two for $7.00. How much did the vase cost?
$8.00
Beth is decorating each of the following nine tables with one flower, one candle, and one balloon in each row of tables and in each column of tables, what should she place on the table marked with a question mark? (Mrs. Todsen, give the picture to the team)
Candle
5) Sophia has 4 times as much money as Ryan, and Matthew has 10 times as much money as Ryan. If Sophia has $272, how much money, in dollars, does Matthew have?
Answer: $ __________
$680.00
18) Before Santiago donated 84 of his books to the Goodwill store, he had twice as many books as Alex. After the donation, Alex has twice as many books as Santiago. How many books does Alex have? Answer: __________ books
56 Books
3) Amelia is buying 3 pencils for 30 cents each, and she is also buying 7 pens for 50 cents each. If she gives the cashier $5, how much change will she get back in cents? Answer: __________ cents
60 cents
Tyler needs $3.25 in postage to mail a gift to his mom. He only has 49 cent stamps. What is the minimum number of stamps that Tyler needs to mail the gift to his mom?
7 Stamps
At Liberty Elementary School, Charlie is the coach of the boys' basketball team and Jackson is the coach of the boys' soccer team. Coach Charlie has 9 players. Coach Jackson has 11 players. Three students play on both Coach Charlie's team and Coach Jackson's team. How many players to Coach Charlie and Coach Jackson have altogether?
17 players
19) Garvin speaks multiple languages and loves books. On his birthday, he received a total of 9 different books: 4 in English, 3 in Spanish, and 2 in German. He wants to choose two of them to pack for his vacation. In how many different ways can he choose two books each written in a different language? Answer: __________ different ways
(26 different ways) Solution: There are three possible pairing of languages: English-Spanish: He has 4 choices of English books, and 3 choices of Spanish books. Therefore, he has 4 3 = 12 English-Spanish options. English-German: He has 4 choices of English books and 2 choices of German books. Therefore, he has 4 2 = 8 English-German options. Spanish-German: He has 3 choices of Spanish books and 2 choices of German books. Therefore, he has 3 2 = 6 Spanish-German options. Add the three results: 12 + 8 + 6 = 26.
15) Natalie is organizing her sweaters into some empty boxes. If she puts 5 sweaters into each box, one box will have only 4 sweaters and some boxes will remain empty. If she puts 4 sweaters into each box, one box will have only 3 sweaters and some boxes will remain empty. What is the least number of sweaters that Natalie could have?
Answer: __________ sweaters
19 sweaters
13) What is the smallest positive 4-digit number that is a multiple of 7? Answer: __________
1001
Mrs. K brought 24 cupcakes to her class. Half the cupcakes are vanilla cupcakes. Two thirds of the vanilla cupcakes have vanilla frosting. How many vanilla cupcakes have vanilla frosting?
8 vanilla cupcakes
? divided by 8 = 5 R 7
40
20) Axel and Dash are brothers and they go to the same school. Today, they left their home at the same time and walked to school. Axel walked to school at a speed of 315 feet per minute. Dash walked to school at a speed of 420 feet per minute. Dash arrived 2 minutes before Axel. What is the distance, in feet, between their home and school? Answer: __________ feet
(2,520 feet) Solution: Dash arrived 2 minutes early. That means when Dash arrived, Axel was still 315 × 2 = 630 feet away. When Dash arrived, the distance between them is 630 feet. Now we just need to find the time that the distance between the two is 630 feet. Make a table. At the end of the minute 6, the distance between Dash and Axel is 630 feet away. At that time, Dash walked 2520 feet.
16) Coach Koehler has a running club. During the first half of February, one quarter of the members quit the club. During the second half of February, one third of the remaining members quit, leaving only 12 members. If no new members joined the club during February, how many members were in Coach Koehler’s running club at the beginning of February? Answer: __________ members
24 members
15) Tom bought a jersey and a pin for a total of $101 in a gift shop. The jersey cost $100 more than the pin. How much did the jersey cost? Answer: $__________
Pin: $0.50 cents
Final answer: 100.5
The number on Peter's jersey is a two-digit number. If he multiplied the two digits, he gets 54. What is the sum of the two digits on Peter's jersey?
6 and 9
The following figure is made of one 17 in X 2 in rectangle and four equilateral triangles. What is the perimeter of the figure? (Mrs. Todsen needs to give picture)
55 inches
9) Joshua uses marshmallows and toothpicks to construct pyramids. He uses 4 marshmallows and 6 toothpicks for each pyramid. If he has 90 marshmallows and 140 toothpicks, what is the greatest number of pyramids that Joshua can make? Note: No two pyramids share any marshmallows or toothpicks in common. (Ask Mrs. Todsen for picture)
Answer: __________ pyramids
22
17) In the following addition problem, same letters represent the same digit and different letters represent different digits. What digit does the letter A represent? Answer: __________
CBA
CCB
+CCC
_______
A=4
20) There are three different types of apples in a basket: Fuji, Gala, and Honeycrisp. The number of Fuji apples is 1 2 the number of Gala apples. The number of Fuji apples is 1 3 the number of Honeycrisp apples. There are a total of 42 apples in the basket. How many Fuji apples are in the basket? Answer: __________ Fuji apples
7 fuji apples