ACT Math Sample Problems

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ACT Math Sample Problems

Try our ACT Math Sample Problems, Answers below 

  1. Jeff makes $5.00 every day from which he must spend $3.00 for various expenses. Pete makes $10.00 per day but has to spend $7.00 on expenses. If the two of them save together, how long will it take before they can buy a car for $150.00?
  2. Two cities are 800 miles apart. At 3:00 p.m., Plane A leaves to one city travelling to the other at 600 mph. At 4:00, plane B leaves at 800 mph. How long after A leaves do they meet?
  3. A 30% solution of barium chloride is mixed with 10 grams of water to form a 20% solution. How many grams of the original solution did we start with?
  4. Allenstown and Bayestown are 400 miles apart. The train from Allenstwon leaves and heads toward the train from Bayestown at 50 mph. How long will it take until they meet if the train from Bayestown travels at 30 mph?
  5. Sue and Joe leave the store at the same time. Joe drives for 90 minutes and goes 60 miles. If Sue drives twice as fast as Joe, how long will it take her to go 100 miles?
  6. Robert has  12 coins that total $1.45 in value. No coin is larger than a quarter. Which of the following cannot be the number of quarters he has?
  7. Robert can seal 40 envelopes in a minute. Paul can do the same in 60 seconds. How many minutes will it take them to seal 350 envelopes if they are working together?

 

Answers:

  1. 30 days
  2. 1 hr and 9 min
  3. X=20
  4. T=5
  5. T=75 minutes
  6. 1
  7. 4.375 min

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