SAT Practice TestSAT Math10 Questions~15 min

SAT Word Problems with Systems Practice Test — 10 Questions

A full SAT-style Word Problems with Systems practice test with 10 questions at varying difficulty levels. Answer every question, get instant feedback, and review detailed explanations to understand exactly where you went wrong.

10
Questions
15m
Est. Time
All
With Explanations
Yes
Free to Take
Just Practice Questions Instead

What to Expect on This Practice Test

Difficulty Mix

5 Easy · 3 Medium · 2 Hard — matching the real SAT distribution.

Instant Feedback

Know immediately if you're right. Read a detailed explanation after every answer.

Topic Covered

Word Problems with Systems — a key topic in the Algebra section of SAT Math.

SAT Word Problems with Systems Practice Test

10 Questions
0 / 10 answered
1Easy

Two numbers add up to 20. The larger number is 4 more than the smaller. What are the two numbers?

2Easy

A classroom has 30 students. There are 6 more girls than boys. How many boys are there?

3Easy

Tickets to a movie cost 8foradultsand8 for adults and 5 for children. A group of 10 people paid $62 total. How many adults were in the group?

4Easy

A store sells small cups for 2andlargecupsfor2 and large cups for 3. In one hour, 20 cups are sold for $46 total. How many large cups were sold?

5Easy

Two trains leave a station simultaneously in opposite directions. Train A travels at 60 mph and Train B at 80 mph. After how many hours are they 420 miles apart?

6Medium

A chemist mixes a 20% acid solution with a 50% acid solution to get 30 liters of a 30% acid solution. How many liters of the 20% solution should be used?

7Medium

A boat travels 24 miles downstream in 2 hours and 24 miles upstream in 4 hours. What is the speed of the current?

8Medium

An investor puts a total of 8,000intotwoaccounts.AccountAearns48,000 into two accounts. Account A earns 4% annual interest and Account B earns 6%. After one year, total interest earned is 380. How much was invested in Account A?

9Hard

A farmer has cows and chickens. He counts 20 heads and 56 legs. How many cows and chickens does he have?

10Hard

Three years ago, a father was 4 times as old as his son. Three years from now, the father will be 2.5 times as old as his son. How old is the father now?

How to Improve Your SAT Word Problems with Systems Score

Identify your specific error pattern on this topic

After completing this practice test, look at every wrong answer and ask: 'Was this a content gap, a misread, or a careless error?' Each type has a different fix. Content gaps require review. Misreads require slowing down. Careless errors require double-checking.

Review every explanation, even correct answers

Understanding why an answer is right is as important as getting it right. Many students get lucky on questions they don't fully understand — those will come back to haunt them on test day.

Practice under time pressure

SAT Math questions should take about 1.2–1.5 minutes each. Once you understand the Word Problems with Systems concepts, practice with a timer. Speed comes from pattern recognition, which comes from repetition.

Drill Word Problems with Systems questions until they feel automatic

Use Blitzsat's question bank to filter specifically for Word Problems with Systems questions at medium and hard difficulty. Repeat until you can answer most questions in under 60 seconds.

Want More Word Problems with Systems Practice?

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