Unit 6 Advanced Worksheet

Problem Solving & Integration - 20 Challenging Questions

Basic Level

Unit 6: Problem Solving & Integration - Advanced Level

Practice worksheet with interactive questions

20 Questions•20-30 minutes

Instructions

Read each question carefully before answering
Take your time to think through each problem
You can change your answers before submitting
Click "Submit Answers" to see your results
Use hints if you need help understanding a question

Question 1

Word Problem

A store sells notebooks at $3.50 each. You have a 20% off coupon and a $5 gift card. Buying 4 notebooks, how much do you pay?

💡 Hint

Apply discount first, then gift card

Question 2

Multiple Choice

A recipe for 6 needs 2 2/3 cups flour. For 9 servings, how much flour?

Question 3

Fill In Blank

A room is 4.5 m × 3.2 m. Tile costs $25/m². Total tiling cost? $___

💡 Hint

Find area first, then multiply by price

Question 4

Word Problem

Two trains leave same station. One goes 60 mph east, other 80 mph west. After 2.5 hours, how far apart?

💡 Hint

Calculate each distance and add

Question 5

True False

If you apply a 25% discount then add 25% tax, you're back to the original price.

Question 6

Multiple Choice

Data: 12, 15, 15, 18, 18, 18, 21. What are mean, median, and mode?

Question 7

Word Problem

A ladder 26 ft long leans on a wall. Bottom is 10 ft from wall. How high up the wall?

💡 Hint

Use a²+b²=c²

Question 8

Fill In Blank

Three friends split a bill. Total is $78.60. Each pays ___.

💡 Hint

Divide total by 3

Question 9

Multiple Choice

A number increased by 40% equals 84. What's the original?

Question 10

Word Problem

Pool fills at 30 gal/hour. Takes 8 hours to fill. It's 5/8 full now. How many more hours to fill?

💡 Hint

Find what fraction remains

Question 11

True False

A square with perimeter 40 cm has the same area as a rectangle 12 cm × 8 cm.

Question 12

Fill In Blank

Investment of $400 grows 10% yearly. Value after 2 years? $___

💡 Hint

Apply 10% growth twice

Question 13

Word Problem

School has 480 students. 3/8 are girls. Of the girls, 2/5 play sports. How many girls play sports?

💡 Hint

Find total girls first

Question 14

Multiple Choice

Two pipes fill pool. Pipe A alone: 4 hours. Pipe B alone: 6 hours. Together?

Question 15

Word Problem

Rectangular garden: length is 8 m more than width. Perimeter is 56 m. Find the width.

💡 Hint

Set up equation with one variable

Question 16

Fill In Blank

Box is 15 in × 12 in × 8 in. Surface area? ___ square inches

💡 Hint

Calculate all six faces

Question 17

True False

Mean is always affected more by outliers than median.

Question 18

Multiple Choice

Temperature drops from 50°F at a rate of 2°F per hour. When does it reach 32°F?

Question 19

Word Problem

Movie theater: 300 seats. 2/5 are front section at $12, rest are back at $8. If full, total revenue?

💡 Hint

Calculate each section separately

Question 20

Fill In Blank

Tank is 5/6 full with 250 gallons. Total capacity? ___ gallons

💡 Hint

Find what 1/6 represents

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