Geometry
a square have side lengths of 4cm, whats the area
16
Flip a coin 2 times, whats the probabilty that you get heads on both times
1/4
2y+5=11
3
15+73+65
153
What does AMC or CJMC stand for? (pick one to answer)
American math competitions
Canada Jay Math competition
A triangle have height of 4 and width of 10, whats the area
20
How many integers between 1000 and 9999 have four distinct digits?
4536
x2+5x-6=0
x=?
x= 1, -6
Solve:
7(13+4)-22(6\3)
103
List 5 different math competitions
(can't say xxx8, 10, 12) that counts as one!
AMC, IMO, COMC, CMO, AIME, Elemacon, CJMC, CLMC, MATHCOUNTS, CEMC series comps, etc
Rectangle ABCD and right triangle DCE (right angle at C) have the same area. The length of sides AB and BC is 5 and 6, respectively. And DC is 5, what is the length of DE?
13
In the small country of Mathland, all automobile license plates have four symbols. The first must be a vowel (A, E, I, O, or U), the second and third must be two different letters among (D, G, J, M, C), and the fourth must be a digit (0 through 9). If the symbols are chosen at random subject to these conditions, what is the probability that the plate will read "AMC8"?
1/1000
On her first day of work, Janabel sold one widget. On day two, she sold three widgets. On day three, she sold five widgets, and on each succeeding day, she sold two more widgets than she had sold on the previous day. How many widgets in total had Janabel sold after working 20 days?
400
At the 2013 Winnebago County Fair a vendor is offering a "fair special" on sandals. If you buy one pair of sandals at the regular price of $50, you get a second pair at a 40% discount, and a third pair at half the regular price. Javier took advantage of the "fair special" to buy three pairs of sandals. What percentage of the $150 regular price did he save?
30
What is the maximum number of contests a contestant can qualify for through COMC alone?
4 (EGMO TST, Repechage, CMO, APMO)
How many pairs of parallel edges (such as the top front edge and the top back edge) does a cube have?
18
Four children were born at City Hospital yesterday. Assume each child is equally likely to be a boy or a girl. Which of the following outcomes is most likely?
(A) all 4 are boys
(B) all 4 are girls
(C) 2 are girls and 2 are boys
(D) 3 are of one gender and 1 is of the other gender
(E) all of these outcomes are equally likely
(D) 3 are of one gender and 1 is of the other gender
Billy's basketball team scored the following points over the course of the first 11 games of the season: 42, 47, 53, 53 58, 58, 61, 64, 65, 73. If his team scores 40 in the 12th game, which of the following statistics will show an increase?
a) range b) median c) mean d) mode e) mid-range
a) range
Jeremy's father drives him to school in rush hour traffic in 20 minutes. One day there is no traffic, so his father can drive him 18 miles per hour faster and gets him to school in 12 minutes. How far in miles is it to school?
9
What is the mascot of the Canadian national math teams?
Moose (Fun fact: the name is Canmoo and is usually a stuffed animal moose wearing a Canadian sweater)
A triangle with vertices as A = (1,3), B = (5,1), and C = (4,4) is plotted on a 6 x 5 grid. What fraction of the grid is covered by the triangle?
1/6
Samantha lives 2 blocks west and 1 block south of the southwest corner of City Park. Her school is 2 blocks east and 2 blocks north of the northeast corner of City Park. On school days she bikes on streets to the southwest corner of City Park, then takes a diagonal path through the park to the northeast corner, and then bikes on streets to school. If her route is as short as possible, how many different routes can she take?
18
Ralph went to the store and bought 12 pairs of socks for a total of $24. Some of the socks he bought cost $1 a pair, some of the socks he bought cost $3 a pair, and some of the socks he bought cost $4 a pair. If he bought at least one pair of each type, how many pairs of $1 socks did Ralph buy?
7
Danica wants to arrange her model cars in rows with exactly 6 cars in each row. She now has 23 model cars. What is the smallest number of additional cars she must buy in order to be able to arrange all her cars this way?
1
What place did Team Canada rank at the 2025 IMO in Australia? (Hint: there were 110 participating countries)
21st