GCSE Maths Questions Higher Tier

This video provides a series of higher-tier GCSE math practice questions and solutions, focusing on non-calculator problems. It covers decimal multiplication, percentage changes in car values, calculating the area of a shaded section in a geometric diagram, and solving algebraic expressions. Each question is broken down step-by-step, with explanations on how to achieve full marks.

What is the first step in solving a decimal multiplication problem?

• Estimate the result

• Use a calculator

• Rewrite the numbers without decimal points

• Add the decimal points first

How many numbers should be after the decimal point in the final answer if there are 3 numbers after the decimal points in the original question?

• 2

• 1

• 4

• 3

If a car's value increases by 20% from £35,000, what is the new value?

• £40,000

• £42,000

• £45,000

• £37,000

What is the percentage decrease if a car's value drops from £67,000 to £46,900?

• 20%

• 25%

• 30%

• 35%

How do you find the area of the shaded section in the diagram with circles and a square?

• Add the areas of the circles and the square

• Multiply the areas of the circles and the square

• Subtract the area of the square from the circles

• Subtract the total area of the circles from the area of the square

What is the formula used to find the area of a circle?

• 2πr

• πr²

• πd

• r²

What is the first step in solving for Y in terms of W when given two rectangles with equal areas?

• Factorize the equation

• Form an expression for the area of each rectangle

• Expand the brackets

• Simplify the equation