24's
Word Problems
REALLY HARD PROBLEMS
100
9, 7, 2, 8
9+7=16
16*2=32
32-8=24
100
Sophie went to a store and bought 5 pens and 3 pencils for $8.50. The next day, she bought 2 pens and 4 pencils for $5.00. How much does one pen cost, and how much does one pencil cost?
Pen: $1.36 and Pencil: $0.57
100
The arrows on the two spinners shown below are spun. Let the number N equal 10 times the number on Spinner A, added to the number on Spinner B. What is the probability that is a perfect square number? (Source: AMC8 2022)
1/8
200
20, 20, 5, 5
5*20=100
100+20=120
120/5=24
200
Students guess that Norb's age is, and. Norb says, "At least half of you guessed too low, two of you are off by one, and my age is a prime number." How old is Norb?
37
200
Aiden bounces a ball from a height of 10 feet. Each time the ball bounces, it returns at half its original height. What is the total distance the ball travels?
30 feet
300
8, 21, 17, 5
8-5=3
21/3
17+7=24
300
Cities A and B are 45 miles apart. Alicia lives in A and Beth lives in B. Alicia bikes towards B at 18 miles per hour. Leaving at the same time, Beth bikes toward A at 12 miles per hour. How many miles from City A will they be when they meet? (Source: AMC 12A 2023)
27 miles
300
The number of prime factors the sum of 400 has
1
400
23, 6, 16, 14
23-14=9
16*9=144
144/6=24
400
In preparation for Tracy’s wedding, Lisa decides to throw Tracy a bridal shower. Lisa is planning to make the invitations herself. Each invitation requires 6 inches of ribbon to make a tiny bow on the front. If Lisa needs enough ribbon for 28 invitations, but must buy the ribbon by the half-yard, how many yards of ribbon must Lisa buy? Express your answer as a decimal to the nearest tenth.
5
400
I toss a fair 6-sided die 6 times in a row. What is the probability that the product of the numbers that I rolled each time is even? For example, if I roll a 3, 5, 2, 1, 3, and 2, the product would be 3*5*2*1*3*2=180. Express your answer as a common fraction.
63/34, Explanation: We subtract the probability of getting all odds(3 odds/6 numbers)^6from 1, which is 1-(1/2)^6=1-1/64=63/64
500
6, 3, 1, 4
FRACTIONS ARE ALLOWED!
3/4
1 - 3/4 = 1/4
6/ 1/4 = 24
500
Chloe and Zoe are both students in Ms. Demeanor's math class. Last night, they each solved half of the problems in their homework assignment alone and then solved the other half together. Chloe had correct answers to only 80% of the problems she solved alone, but overall 88% of her answers were correct. Zoe had correct answers to 90% of the problems she solved alone. What was Zoe's overall percentage of correct answers?
93%
500
ABCD is a square
Segment AB is 6 units
Point E is the segment bisector to segment AB
Segment AC is a diagonal
Segments AC and BE intersect at Point F
Find the area of quadrilateral ADEF
15 square units