Order of Operations
Ratios and Probability
System of Equations
Fractions, Decimals, Percentages
Rational Numbers and Absolute Values
Geometry
Word Problems
Challenges
100
What does PEMDAS stand for?
Parenthesis, Exponents, Multiplication, Division, Addition, and Subtraction.
100
Kayla's pets are all cats or fish. Kayla has 9 fish and 3 cats. What is the ratio of Kayla’s fish to total pets?
9:12
=3:4
100
18-k=30. What is k?
k= -12
100
106✕3.7=?
392.2
100
Is "pi" Rational or Irrational?
Irrational
100
What do all of the angles in a triangle add up to?
180 degrees
100
Leo has $4,522.08 in his bank account. He deposits another $875.50, and then withdraws $300 in cash. How much is left in his bank account?
4,522.08 + 875.50= 5397.58
5397.58-300
= $5097.58
100
What is the greatest common factor of 18, 36, and 45?
9
200
2̇̇✕4+25+6-9=?
8+31-9
39-9
= 30
200
You are throwing a party, and you need 5 liters of soda for every 12 guests. If you have 36 guests, how many liters of soda will you need?
(5:12)3
15:36
=15 liters
200
4b+5=1+5b. What is b?
b= 4
200
Sofia's batting average is 0.022 higher than Joud's batting average. Joud has a batting average of 0.167. What is Sofia's batting average?
0.022+0.167= 0.189
200
Is 7/8 Rational or Irrational?
Rational
200
How do you find the area of a triangle?
A=1/2bh
200
John is planning a road trip from San Diego to Phoenix, which is 300 miles away. He plans to drive at an average speed of 60 miles per hour. How long will it take him to reach Phoenix?
5 hours
200
Simplify x-6(negative exponent).
1/x6
300
(15-3)*2+36/4
33
300
Giovanna owns a farm. She is going to randomly select one animal to present at the state fair. She has 6 pigs, 10 chickens, and 7 cows. What is the probability that she will choose a pig?
6/23 or 0.26
300
20-6+4x=2-2x. What is x?
x= -2
300
2/5 ➗ 8/5=?
¼
300
l -4 l=?
4
300
What is the equation for the Pythagorean theorem?
A2+B2=C2
300
You randomly draw a marble out of a bag that contains 20 total marbles. 12 of the marbles in the bag are blue, 6 of the marbles are red, and the rest of green marbles. What is the probability that you will pull a green marble?
2/20
=0.1
300
What is the mean of these numbers?
-25, 19, 100, 45, -76, 3
11
400
9 + (12 + 1)²=?
9+(13)²
9 + 169
=178
400
You roll a 6 sided die. What is the probability that you roll a number less than 4?
3/6 or 0.5
400
5c+16.5=13.5+10c. What is c?
c= ⅗ or 0.6
400
The sales tax in your city is 4.4%, and an item costs $3 before tax. How much tax would you pay on that item?
4.4/100 ✕ 3
= 0.13
400
Is this number rational?
34/0
No
400
In a triangle, one angle equals 33 degrees and a second angle equals 103 degrees. Find the value of the remaining angle of the triangle.
44 degrees
400
Lina was watching a football match. The team she was cheering for gained 6 yards on one play. It lost 8 yards on the next play. But gains another 2 yards on the following play. Lina wants to know what her team’s net change in field position was after these three plays. Create an equation that matches the situation above. And solve for an additional 100 points.
6+(-8)+(2) =?
Answer: 0 yards
400
Find 2 pairs of corresponding angles of the given shape.
2-6, 4-8, 1-5, 3-7
500
7+[-5(10-1)]²=?
7+[-5(9)]²
7+[-45]²
7+2025
=2032
500
Simplify
245/169 * 13/7
35/3
500
6d -11/2= -13/2+2d. What is d?
d= -¼ or -.25
500
What is 25% of 40?
10
500
l 6+2 l=?
8
500
Find the value of ONE interior angle of this shape:
135
500
There are 20% more goblins than wizards in the magic club. There are 120 goblins in the magic club. How many wizards are in the magic club?
100%+20% = 120%→ 1.2.
1.2w=120.
w=100.
500
What is the median of 230, 345, 129, -283, 742, 192, 683, 3719, -2032, 10238?
1) Order numbers from smallest to largest
2) find the two numbers in the middle
3) Add them together and divide by 2
Answer: 287.5
600
(2✕3-4)➗2 and 1/3=?
-3/2 ✕ 3/7
= -914
600
Max tested a coin to see whether it was fair. The table shows the results of his coin toss experiment: Heads: 26 & Tails: 41. What is the relative frequency of the coin landing on heads?
26/67
600
Samantha went to the grocery store to buy apples and oranges. She bought a total of 15 fruits. The apples cost $2 each, and the oranges cost $1.50 each. She spent a total of $25 on the fruits. Find the amount of apples and oranges she bought.
Let x represent the number of apples and y represent the number of oranges
X= 5 apples
y = 10 oranges
600
Hailey paid $13 for 1 and 3/7 of sliced salami. What was the cost per kilogram of salami?
13➗10/7
=$9110
600
l 4-12 l+2=?
10
600
Name 2 pairs of supplementary angles
1-2, 1-5, 5-6, 2-6, 3-7, 3-4, 7-8, 4-8
600
Michael is 3 times as old as Brandon. 18 years ago, Michael was 9 times as old as Brandon. How old is Brandon now?
m=3b
m-18= 9(b-18)
3b-18= 9b-162
b=24
600
(-34) x (-2) + (10 - 52) - 202
-253