Mental Math
(4 + 7 - 10 + 4 ) * 2 / 5
2
The perimeter of a square is 8 cm. What is the area?
If the perimeter is 8 cm, then the length of one side is 2 cm since 2 cm + 2 cm + 2 cm + 2 cm = 8 cm.
Area = 2 cm × 2 cm = 4 cm2.
Paulina plays both volleyball and soccer. The probability of her getting injured playing volleyball is 0.1, point, 1. The probability of her getting injured playing soccer is
Neither. Both events are equally likely.
1/10 = 0.1Solve for x, 5x - 10 = 10
5x - 10 = 10
5x = 10
x = 4
Which group of people (other than the Indigenous peoples) first came to what is now Canada?
the Vikings
Bonus: Which group of people came to Canada after the Vikings?
(12 - 2 * (2 + 4) ) / 2
0
Do the following rectangles have the same perimeter, area, or both?
First rectangle: 6 cm * 4 cm
Second rectangle: 5 cm * 5 cm
Area: 24 cm2 /= 25 cm2
Perimeter: 20 cm = 20 cm
Only the perimeter are the same.
Pablo, Mateus, and Ling are competing in a burrito-eating contest. Their probabilities of winning the contest are as follows:
Pablo wins = 0.75; Mateus wins = 5%; Ling wins = 1/5
Order the events from least to most likely.
Convert each probability to the same form
ex: 0.5 < 0.2 < 0.75
Mateus wins, Ling wins, Pablo wins
Evaluate (3/7)r + (5/8)s when r = 14 and s = 8
Substitute the variables
(3/7)(14) + (5/8)(8)
= 6 + 5
= 11
In Frozen, which character was supposed to be the main villain before the story was completely rewritten?
Elsa (supposed to be an evil "Snow Queen")
Bonus: What prompted the writers to re-write the entire story to make Elsa not evil?
( (3.5 + 7 / 2) * (10 - 3) ) / 7
7
The measure of one supplementary angle is twice the measure of the second. What is the measure of each angle?
Let x be the measure of the first angle. Then, the second angle is 2x.
Since the angle are supplementary, they add up to 180°
x + 2x = 180°
3x = 180°
Since 3 × 60 = 180, x = 60
The measure of the first angle is 60°
The measure of the second is 2x = 2 × 60 = 120°
The following table shows the number of comments on each of Omar's 9 most recent social media posts.
0, 2, 8, 7, 0, 0, 0, 6, 4
Based on this data, what is a reasonable estimate of the probability that Omar's next post will get no comments? Use fractions.
There are 9 total posts.
Out of the 9, 4 have no comments.
Using experimental probability, we can estimate that the probability of getting no comments on the next post is 4/9.
Which expression(s) is equivalent to 2(4f + 2g)?
a) 8f + 4g
b) 4f + 4f + 4g
c) None of the above
A and B are equivalent.
How many months have 28 days?
All 12.
( 32 + 23 + 3 ) / 2 + 21
12
A construction company is starting to build a new house. They need to put tape around the site to begin. The new home site is 20 meters wide by 40 meter long rectangle. The company already has 100 meters of tape.
How much more tape does the company need to tape the site?
Perimeter = 20 m + 40 m + 20 m + 40 m = 120 m
The company already has 100 m of tape.
120 m - 100 m = 20 m
The company needs 20 more meters.
So far, 907 of the 1223 voters have agreed to the new amendment.
Based on this data, what is a reasonable estimate of the probability that the next voter does not agree to the new amendment?
Out of the 1223 voters, 907 voted. This means that 316 didn't vote.
As such, using experimental probability, we can estimate that the probability of the next voter not agreeing with the new amendment is 316/1223.
Which expression(s) are equivalent to j + j + 2k?
a) 2jk
b) 2(j + j + k)
c) None of the above
C. None of the above are equivalent.
Which nations invented the following
1) The first video game console
2) Poutine
3) TikTok
1) The United States of America (the Magnavox Odessey)
2) Canada
3) China
Bonus question: What was the predecessor of TikTok?
( 4.5 * 2 )2 / ( 5 + 22) / 9 + 12.250 * 170
2
The YMCA pool is a rectangular prism 36.8 m long by 20 m wide. The pool contains 1472 m3 of water. How deep is the water in the pool?
36.8 m * 20 m * h = 1472 m3
Solve for h
h = 2 m
The depth of the water is 2 m
A jar contains 6 red jelly beans, 6 green jelly beans, and 6 blue jelly beans.
What is the probability that the first jelly bean will be green? What is the probability that the second will be green as well?
18 total jelly beans.
The are 6 green jelly beans, giving the probability of getting a green bean on the first try 6/18.
After the first bean, there are only 17 total beans and only 5 green beans left, giving the probability of getting a green bean on the second try 5/17.
Solve for t, 2 - 16t = 6(-3t + 2)
2 - 16t = 6(-3t + 2)
2 - 16t = -18t + 12
-16t + 18t = 12 - 2
2t = 10
t = 5
When was the atomic bomb used in warfare?
The United States dropping the atomic bomb on Hiroshima and Nagasaki in 1945.
Bonus: if Japan still did not surrender after the bombing of Hiroshima and Nagasaki, which city was rumoured to be the next target of an atomic bomb?