AMC 8
Lucius is counting backward by 7s. His first three numbers are 100, 93, and 86. What is his 10th number?
(A) 30 (B) 37 (C) 42 (D) 44 (E) 47
What is (B) 37?
Some edges of a cube are to be coloured red so that every face of the cube has at least one red edge. What is the smallest possible number of edges that must be colour red?
(A) 2 (B) 3 (C) 4 (D) 5 (E) 6
What is (B) 3?
How many 5 cent coins are needed to make 25 cents?
(A) 1 (B) 2 (C) 3 (D) 4 (E) 5
What is (E) 5?
Hanif wants to read every page on Mathematics in the online encyclopedia. There are 952 pages, and on each day Hanif opens and reads exactly one page. If he starts today, Thursday, November 16, 2023, on what day of the week will he open the last page?
(A) Monday (B) Tuesday (C) Wednesday (D) Thursday
What is (C) Wednesday?
The Instructor's Name
Who is Ryan?
Sekou writes the numbers 15, 16, 17, 18, 19. After he erases one of his numbers, the sum of the remaining four numbers is a multiple of 4. Which number did he erase?
(A) 15 (B) 16 (C) 17 (D) 18 (E) 19
What is (C) 17?
Anna has 5 discs of different radii. She decides to build a tower using 3 discs, such that each disc has a radius smaller than the disc below it. How many different towers could Anna construct?
(A) 5 (B) 6 (C) 8 (D) 10 (E) 15
What is (D) 10?
In a drawer, the ratio of the number of spoons to forks is 1 : 2. The total number of spoons and forks in the drawer cannot be equal to
(A) 12 (B) 6 (C) 18 (D) 10 (E) 3
What is (D) 10?
Shoe sizing systems in North America use a standard measurement between sizes based on barleycorns. One barleycorn is equal to 1/3 inch. When shoe sizing systems were first created, the largest shoe size was set to 12 for a shoe length of 12 inches. For each decrease of one shoe size the shoe length decreases by one barleycorn. So a size 11 shoe has a shoe length of 11 2/3 inches (12 inches − 1/3 inches = 11 2/3 inches ). What is the shoe length of a size 7 shoe?
(A) 10 1/3 inches. (B) 7 inches. (C) 5 inches. (D) 9 2/3 inches
What is (A) 10 1/3 inches?
Number 97 on the Edmonton Oilers
Who is Connor McDavid?
On the most recent exam on Prof. Xochi's class,
How many students earned a score of at least 80% and less than 90%?
(A) 8 (B) 14 (C) 22 (D) 37 (E) 45
What is (D) 37?
John has 150 coins. When he throws them on the table, 40% of them show heads and 60% of them show tails. How many coins showing tails does he need to turn over to have the same number show heads as show tails?
What is (B) 15?
The number 385 has 3 prime factors. The sum of these prime factors is
(A) 21 (B) 26 (C) 25 (D) 23 (E) 22
What is (D) 23?
The last digit of 15 · 14 · 13 · 12 · 11 + 10 · 9 · 8 · 7 + 6 · 5 · 4 + 3 · 2 + 1 is
(A) 1 (B) 3 (C) 5 (D) 7 (E) 9
What is (D) 7?
The population of Edmonton (within 200,000 people)
What is 1.1 million?
A number N is inserted into the list 2, 6, 7, 7, 28. The mean is now twice as great as the median. What is N?
(A) 7 (B) 14 (C) 20 (D) 28 (E) 34
What is (E) 34?
Some beavers and some kangaroos are standing in a circle. There are 3 beavers in total and there are no 2 beavers who are standing next to another beaver. There are exactly 3 kangaroos who are standing next to another kangaroo. What is the largest possible amount of kangaroos in the circle?
(A) 4 (B) 5 (C) 6 (D) 7 (E) 8
What is (B) 5?
The Gaussbot factory assembles robots. Each robot comes in one of three colours: red, blue, or green. Each robot also has a number stamped on its head: 1, 2, 3, or 4. The nth robot assembled is the first robot to have the same colour and the same number as a previously assembled robot. What is the greatest possible value of n?
(A) 11 (B) 12 (C) 13 (D) 7 (E) 8
What is (C) 13?
Consecutive numbers are ones that follow each other with a difference of 1: for example, 3,4,5,6 are consecutive numbers, as are 12, 13, 14. The median of some numbers is a certain number separating the top half from the bottom half. For example, the median of 1, 1, 2, 3, 4, 9, 21 is 3, while the median of 2, 2, 4, 6, 11, 12 is the average of 4, 6: that is, the median is 5. I write down 7 consecutive numbers whose sum is 2023. What is their median?
(A) 286 (B) 289 (C) 292 (D) 2023 (E) No median exists
What is (B) 289?
What is 34?
Five distinct integers from 1 to 10 are chosen, and five distinct integers from 11 to 20 are chosen. No two numbers differ by exactly 10. What is the sum of the ten chosen numbers?
(A) 95 (B) 100 (C) 105 (D) 110 (E) 115
What is (C) 105?
The sum of 2023 consecutive integers is 2023. What is the sum of the digits of the largest of these integers?
(A) 4 (B) 5 (C) 6 (D) 7 (E) 8
What is (A) 4?
The prime factorization of 6×5×4×3×2×1 can be written in the form 2^a×3^b×5^c. The value of a+b+c is
(A) 6 (B) 7 (C) 9 (D) 5 (E) 8
What is (B) 7?
Belinda sells watermelons at the local market. She sells a whole watermelon for $7 and half of a watermelon for $4. When a customer purchases a half watermelon, she takes a whole one and cuts it in half for them. Belinda started one particular day with 20 whole watermelons. At the end of the day, she had made $101 in watermelon sales. What is the greatest number of watermelons that Belinda could have left at the end of the day?
(A) 7 (B) 9 (C) 4 (D) 2 (E) 6 (F) 1
What is (A) 7?
Name all 13 provinces and territories in Canada
What is British Columbia, Alberta, Saskatchewan, Manitoba, Ontario, Quebec, Nova Scotia, New Brunswick, Newfoundland and Labrador, Prince Edward Island, Yukon, Northwest Territories, and Nunuvut?