Index Laws
Simplify the expression: x⁵× x³
x⁸
You flip a coin and roll a standard 6-sided die. What is the probability of getting "Heads" on the coin AND an even number on the die?
1/4 (or 25%)
A gamer records their scores for 5 matches: 10, 15, 20, 25, and 30. Find the mean (average) score.
20
I am an odd number. Take away one letter from my name and I become even. What number am I?
7(seven)
Find the volume of a cube with a side length of 5 cm.
125
Dragon has y9 gold coins. It accidentally melts 1/y4 of them with its bad breath. Simplify what's left:
y5
In a game deck, there are 5 red cards and 5 blue cards. You draw one card, put it back, and draw a second card. What is the probability that both cards are red?
Answer: 1/4 (or 25%)
A researcher counts the number of coffee cups consumed by office workers: 1, 2, 2, 3, 5, 8, 9. Find the median.
3
A smartphone and its case cost $110 in total. The phone costs $100 more than the case. How much does the case cost?
$5(Phone is $105, case is $5)
Find the total surface area of a rectangular prism with a length of 6 cm, a width of 4 cm, and a height of 5 cm.
148cm2
Simplify the expression completely: (3a2b4)3
27a6b12
A jar has 4 green jellybeans and 6 purple jellybeans. You eat one purple jellybean. Without looking, you grab a second jellybean. What is the probability that this second one is also purple?
5/9
In a dance contest, the scores given by judges are: 7, 8, 8, 9, 9, 9, 10. Find the mode AND the range of these scores.
Mode = 9, Range = 3
A baby and a brother has a age difference of 10 years.
The sum of their age is 11 years old.
What's the baby's age?
6 months(0.5 years old)
Find the volume of a cylinder with a base radius of 3 cm and a height of 8 cm.
(Leave your answer in terms of ㅠ)
72ￗ
Evaluate the exact value of the numerical expression:
64-2/3
1/16
Weather forecasts say there is a 60% chance of rain today, and a 40% chance of rain tomorrow. What is the probability that it rains on at least one of these two days?
0.76(or 76%)
A test has a mean score of 75 and a standard deviation of 5. If a student's score is converted to a Z-score of +2, what was their actual exam score?
85
Why is the number 6 afraid of the number 7?
Because 7 ate 9. (7, 8, 9)
Find the total surface area of a sphere with a radius of 6 cm. (Leave your answer in terms of ㅠ)
144ㅠ
Solve the exponential equation for x:
9x-2 = 27x+1
x = -7
Two archers, Legolas and Robin, shoot at a target at the same time. Legolas has an 80% hit rate, and Robin has a 70% hit rate. What is the probability that the target is hit exactly once?
38%(or 0.38)
A classroom has 10 boys with a mean height of 160 cm, and 15 girls with a mean height of 150 cm. What is the combined mean height of all 25 students?
154cm
What is a math teacher’s favorite tree?
Geometry
A right circular cone has a base radius of 5 cm and a slant height of 13 cm. Find the volume of this cone. (Leave your answer in terms of ㅠ
100ㅠcm3