Translating multistep word problems — Topic practice

5 exercises · 5 automatically checked · Untimed

Instructions and review guidance

5 questions · Shuffled order · Untimed practice

Try each question before choosing Check answer. Automatic checks assess your final numeric or choice answer only; compare your method, model and checks with the full explanation. Guide question labels stay the same when you shuffle the bank.

Guide question labels stay the same when the order changes. Check answers when you are ready to review.

Written responses are self-review exercises.

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Practice explanations

Use these explanations to diagnose the first wrong decision, not only to compare final answers. Each solution appears with its question and links to a worked example with a transferable method. A different valid solution is welcome; compare its length, assumptions, and reliability.

The drill

Question 1

  • Guide question E1.1

A delivery service charges $14 plus $3 per package. A 5% surcharge applies to the entire subtotal, and the final charge is $77.70. How many packages were delivered?

Enter an integer, decimal or fraction without units. Use up to 5 characters, or 6 including a leading minus.

Question 2

  • Guide question E1.2

An equal-weight data set has five values with mean 18. A sixth value is added, making the mean 20. What is the sixth value?

Enter an integer, decimal or fraction without units. Use up to 5 characters, or 6 including a leading minus.

Question 3

  • Guide question E1.3

A runner covers 6 miles at 6 miles per hour and returns along the same route at 4 miles per hour. There are no stops. What is the average speed, in miles per hour, for the whole run?

Enter an integer, decimal or fraction without units. Use up to 5 characters, or 6 including a leading minus.

Question 4

  • Guide question E1.4

A 30-liter mixture is 40% juice by volume. Water is added, with no mixture removed and additive volumes, until the mixture is 25% juice. How many liters of water were added?

Enter an integer, decimal or fraction without units. Use up to 5 characters, or 6 including a leading minus.

Question 5

  • Guide question E1.5

Two adjacent rectangular pens share a wall along one long side. There are three equal perpendicular fence segments and one long parallel fence. Exactly 60 meters of fencing is used. What is the maximum possible total area, in square meters?

Enter an integer, decimal or fraction without units. Use up to 5 characters, or 6 including a leading minus.

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