Mathematical Problem Solving Techniques

This video is a walkthrough of a predicted AQA GCSE Maths Higher Paper 2. It covers various topics including multiple choice questions, inequalities, set theory, time conversion, share price calculations, Pythagoras' theorem, and algebraic expressions. The video provides detailed explanations and solutions to each question, offering excellent practice for students preparing for their summer exams.

What is the recommended action before watching the walkthrough of the predicted paper?

• Download and attempt the paper first.

• Watch the video without any preparation.

• Skip the video and read the transcript.

• Directly solve the questions without guidance.

How can you express 2x^-3 using the negative index law?

• 1/(2x^3)

• 2/x^3

• 2x^3

• x^3/2

Which of the following is NOT a triangular number?

• 15

• 21

• 30

• 36

What does a shaded dot on a number line indicate in terms of inequalities?

• Greater than

• Less than

• Less than or equal to

• Greater than or equal to

How many days are there in Mars' orbit around the sun?

• 730 days

• 500 days

• 687.5 days

• 365 days

What is the relative frequency of wins if there are 7 wins out of 20 games?

• 0.7

• 0.35

• 0.5

• 0.25

How do you calculate a 20% increase on a share price of £3?

• Subtract 0.2

• Multiply by 1.2

• Multiply by 0.8

• Add 0.2

What is the percentage decrease from £3.60 to £1.08?

• 50%

• 70%

• 30%

• 60%

In a right-angled triangle, if one side is 13 and the hypotenuse is 19, what is the length of the other side?

• 16

• 15

• 18

• 12

What is the result of expanding and simplifying 7(2p + 4) - 2(p - 5)?

• 12p + 38

• 16p + 30

• 10p + 40

• 14p + 28