GCSE Maths Questions Higher Tier

This video provides a series of GCSE maths practice questions aimed at the higher tier non-calculator paper. It covers solving decimal multiplication, calculating percentage increases and decreases in car values, finding the area of a shaded section in a geometric diagram, and solving algebraic expressions for equal rectangle areas. Each question is explained with a focus on achieving full marks, detailing the marking scheme and various methods to solve the problems.

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

• Estimate the result

• Rewrite the numbers without decimal points

• Add the decimal points first

• Use a calculator

How many numbers should be after the decimal point in the final answer if the original numbers have three decimal places in total?

• One

• Two

• Three

• Four

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

• £40,000

• £42,000

• £37,000

• £45,000

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

• 25%

• 30%

• 20%

• 35%

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

• Add the areas of the circles and the square

• Divide the area of the square by the area of one circle

• Multiply the area of the square by the number of circles

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

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

• 2πr²

• 2πr

• πr²

• πd

In algebra, what is the first step to find an expression for Y in terms of W?

• Expand the brackets

• Form an equation using the given areas

• Factorize the equation

• Simplify the terms