Problem Solving: Test Your Knowledge

This video presents a series of word problems in mathematics, covering topics such as mixtures, coin counting, work rates, age calculations, and geometry. Each problem is explained with a solution, encouraging viewers to pause and solve them independently.

You have two acid solutions of 20% and 70%. How many litres of each should you mix to get 10 litres of a 50% solution?

• 5 litres of 20% and 5 litres of 70%

• 3 litres of 20% and 7 litres of 70%

• 6 litres of 20% and 4 litres of 70%

• 4 litres of 20% and 6 litres of 70%

If you have 30 coins consisting of 10p and 20p coins, and their total value is £4.40, how many 10p coins do you have?

• 10

• 16

• 14

• 12

Two people can complete a task together in 6 hours. If one person can do it alone in 9 hours, how long would it take the second person to do it alone?

• 12 hours

• 15 hours

• 18 hours

• 21 hours

Sam is three times as old as Tom. In five years, Sam's age will be two more than twice Tom's age. How old is Tom now?

• 5 years

• 7 years

• 9 years

• 11 years

The perimeter of a rectangle is 36 inches, and its length is 10 inches more than its width. What is the width of the rectangle?

• 10 inches

• 8 inches

• 6 inches

• 4 inches