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Hardest SAT Math Word Problem Examples

No matter how many SAT prep books you read or classes you attend, you will never improve your SAT Math score unless you practice. If you struggle with high difficulty SAT Math word problems, you must practice solving them. You must practice your pacing. You must practice NOT making careless errors. Here are a few challenging questions to get your started.

Give yourself 7 minutes to complete these 5 high difficulty SAT math word problems:

• 1. From a bowl containing 68 marbles, of which half are red and half are blue, Allison takes 5 red and 7 blue marbles. She takes an additional 17 marbles from the jar. What is the least number of these additional marbles that must be blue in order for there to be more red marbles than blue marbles among the remaining marbles in the bowl?

• 2. Jackson leaves home and drives to work at a constant rate of x miles per hour. His car breaks down 1/2 of the way, so he walks the remainder of the route at a constant pace of y miles per hour. If it takes him exactly h hours to get to work that morning, how many miles away from home is Jackson's work?

• 3. If attendance at a conference fell by 20 percent from last year, the attendance at the conference would have been 2112. If the attendance at the conference had instead risen by 25 percent, how many more people would have attended the conference this year?

• 4. Luke and Andre are members of a club, which has 8 members. If the club randomly selects 5 members to be on a committee, what is the probability that Andre and Luke are members of the committee?

• 5. Town A is 5 miles West of Town B, Town B is 10 miles South of Town C, and Town C is 5 miles West of Town D. A salesman travels from A to B to C to D. If he had traveled from Town A to Town D directly, how much shorter, in miles, would his trip have been?

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