Geometric Bites

These examples practise converting units of area and volume, using powers of 10, writing values in standard form, and applying the pressure formula. Particular care is needed because area conversions are squared and volume conversions are cubed. Question 1(a) – Converting m² to cm² Convert 2.3 m² into cm² . Working Convert 2.3 m² into cm². 1 m = 10² cm 2.3 × (10² cm)² = 2.3 × 10⁴ cm² Answer: 2.3 × 10⁴ cm² Question 1(b) – Converting mm³ to cm³ Convert 400 mm³ into cm³ . Working Convert 400 mm³ into cm³ 10 mm = 1 cm 1 mm = 10⁻¹ cm 400 × (10⁻¹ cm)³ = 400 × 10⁻³ cm³ = 4 × 10² × 10⁻³ cm³ = 4 × 10⁻¹ cm³ Answer: 4 ×...

Pressure, force and area are connected by a simple formula. Once the relationship is understood, the formula can be rearranged depending on which quantity needs to be found. Pressure, Force and Area The basic relationship is: To find pressure: P = F / A To find force: F = P × A To find area: A = F / P What the Symbols Mean P represents pressure. F represents force. A represents area. Units * Pressure is measured in pascals (Pa), where 1 Pa = 1 N/m². * Force is measured in newtons (N). * Area (A) is measured in square metres (m²). Understanding the Formula Pressure describes h...

These ratio problems are based on questions from the Revise Pearson Edexcel International GCSE (9–1) Mathematics A – Higher Tier Revision Guide . The solutions below use an algebraic ratio method in which each part of the ratio is represented as a multiple of x . Question 1 – Sharing Money in a Ratio Andre, Becky and Makito share money in the ratio 3 : 6 : 7 . Andre and Becky receive £207 altogether. Work out how much Makito receives. Working A : B : M = 3x : 6x : 7x 3x + 6x = 207 9x = 207 x = 207/9 7 × (207/9) = 161 Makito receives £161. Answer: £161 Question 2(a) – Ages in a Ratio Amir and Petra's ages are in the ratio 3 : 7 . Amir is 9 years old . Work out Petra's age. Wo...