Word Problems & Logic Flashcards
6 cards from real AMC 8 practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.
Read the first 6 Word Problems & Logic flashcards as text
A car travels at 50 mph for 2 hours and then at 70 mph for 3 hours. What is the total distance traveled?
Answer: 310
Distance = 50 × 2 + 70 × 3 = 100 + 210 = 310 miles.
A 15-foot ladder leans against a wall with its base 9 feet from the wall. How high up the wall does the ladder reach?
Answer: 12
By the Pythagorean theorem: h = √(15² − 9²) = √(225 − 81) = √144 = 12 feet.
If three-quarters of a number is 21, what is the number?
Answer: 28
(3/4)n = 21, so n = 21 × (4/3) = 28.
A tank is 1/3 full. After adding 20 gallons it is 1/2 full. What is the tank's total capacity?
Answer: 120
The 20 gallons fills 1/2 − 1/3 = 1/6 of the tank, so the total capacity = 20 × 6 = 120 gallons.
In a survey, 60% prefer coffee, 30% prefer tea, and 10% prefer juice. If 150 people prefer tea, how many prefer coffee?
Answer: 300
30% = 150 people, so 10% = 50 and the total is 500; then 60% of 500 = 300.
The product of two consecutive odd integers is 143. What is the larger integer?
Answer: 13
11 × 13 = 143, so the consecutive odd integers are 11 and 13; the larger is 13.