Worksheet

Game Studio: Balance the Update

Solve multistep ratio and percent problems involving game scores, percent error, discounts, tax, markups, tips, commissions, and interest.

Grade 7MathInteractive · Printable

Aligned to7.RP.A.3

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Single worksheet
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1 Common Core standard
Printable answer key
14 questions
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Details

Format: Interactive · Printable
Grade: Grade 7
Subject: Math
Question types: Fill in the blank, Multiple choice, Short answer

About this worksheet

What students practice

Students solve multistep ratio and percent problems involving game rewards and score changes.
Students calculate prices, commissions, tips, and simple interest in studio budget problems.
Students calculate percent error and explain the effects of successive percent changes.

How to use

Have students show intermediate calculations beside each problem. Discuss which amount serves as the base for each percent before reviewing the final explanation.

Curriculum

Common Core standard covered

7.RP.A.3

Solve multistep ratio and percent problems such as interest, tax, markups, discounts, tips, commissions, and percent error.

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Name Date

Game Studio: Balance the Update

Use ratios and percents to adjust scores and plan a game update.

Balance Scores and Rewards

Show your steps. For percent error, use |estimate − actual| ÷ actual × 100%.

A level awards 450 points, split between combat and exploration in a ratio of 3 : 2. The studio increases only the combat points by 20%.

How many combat points does the updated level award? points

A player's score is 800 points. A bonus increases it by 15%. Then a penalty reduces the new score by 10%. What is the final score?

A. The final score is 720 points.
B. The final score is 920 points.
C. The final score is 828 points.
D. The final score is 840 points.

The studio reduces a boss's health by 25%. After the reduction, the boss has 540 health points.

How many health points did the boss have before the reduction? health points

Noor predicts that players will earn an average of 690 points on a level. Testing shows an actual average of 600 points.

What is the percent error of Noor's prediction? %

A level contains 640 reward tokens. Tokens from puzzles and hidden rooms are in a ratio of 5 : 3. The update adds 25% more hidden-room tokens and leaves puzzle tokens unchanged.

How many reward tokens are in the entire level after the update? tokens

Budget the Update

Use the stated base for each percent. Write money amounts in dollars. No taxes or fees apply unless stated.

The studio buys an $80 animation pack at a 15% discount. A 5% sales tax is applied to the discounted price.

What is the total cost? $

An art supplier pays $24 for a texture pack and marks up that cost by 50%. The studio then gets a 20% discount on the marked-up price. How much does the studio pay?

A. The studio pays $36.00.
B. The studio pays $28.80.
C. The studio pays $31.20.
D. The studio pays $19.20.

A store collects $1,250 from sales of the studio's level pack. It returns $250 to customers as refunds. The store keeps a 12% commission on the sales money remaining after refunds.

How much money does the studio receive after refunds and commission? $

A recording session for level sound effects normally costs $60. The studio receives a 10% discount and adds a tip equal to 20% of the original $60 price.

How much does the studio pay, including the tip? $

10.

The studio deposits $800 in an account earning 3% simple interest per year for 2 years. There are no withdrawals or additional deposits. Simple interest is calculated only on the original deposit.

What is the account balance after 2 years? $

Make Release Decisions

Use ratios and percents to evaluate the update. Show the base amount used in each calculation.

11.

The studio approves a scoring model only if its percent error is at most 6%. Use the actual average as the base. Which level's model is approved?

Scoring Model Tests
Level	Predicted average	Actual average
Crystal Vault	440	400
Sky Bridge	460	500
Shadow Gate	840	800
Iron Keep	510	600

A. The Shadow Gate model is approved.
B. The Sky Bridge model is approved.
C. The Crystal Vault model is approved.
D. The Iron Keep model is approved.

12.

A level's maximum score changes across two updates.

Maximum Score Changes
Version	Maximum score
Original	1500
First update	1800
Second update	?

The second update increases the first update's maximum score by 10%.

What is the total percent increase from the original maximum score to the second update's maximum score? %

13.

The studio sells 45 downloads of a new level pack for $8 each. A platform keeps 25% of the sales revenue. Creating the pack cost the studio $210.

After the platform's share and the creation cost, how much profit does the studio earn? $

14.

A reward originally gives 250 points. Dev increases it by 20%, then reduces the new reward by 20%. Dev says, “The two changes cancel, so the reward is back to 250 points.” Explain why Dev is incorrect. Include the final reward and identify the base of each percent change.