Page 7: Questions 8 and 9

This page covers problems related to pressure and force calculations, as well as ordering numbers, both common in Edexcel GCSE Maths past papers.

Question 8 involves a prism with a height of 3m and volume of 18m³, exerting a pressure of 75 newtons/m² on the floor. Students must calculate the force exerted by the prism.

Solution:

1. Area of base = Volume ÷ Height = 18 ÷ 3 = 6m²
2. Force = Pressure × Area = 75 × 6 = 450 newtons

Question 9 asks students to order the following numbers from smallest to largest: 6.72 × 10⁵, 0.000672, 67.2 × 10⁻⁴, 6.72 × 10⁰, 672 × 10⁻⁴

Correct order: 0.000672, 67.2 × 10⁻⁴, 6.72 × 10⁰, 672 × 10⁻⁴, 6.72 × 10⁵

Highlight: These questions test understanding of physical quantities and scientific notation, important skills for higher-level mathematics.

Page 5: Question 6

This page focuses on a geometry problem involving parallel lines and angles in a triangle, a common topic in Edexcel GCSE Maths past papers.

Question 6 presents a complex diagram with triangle ADC, where AED and ABC are straight lines, and EB is parallel to DC. Given that angle EBC = 148° and angle ADC = 63°, students must calculate angle EAB.

The solution involves several steps:

1. Angle AEB = 63° (corresponding angles are equal)
2. In triangle AEB: 63° + 32° + EAB = 180° (angles in a triangle add up to 180°)
3. 95° + EAB = 180°
4. EAB = 85°

Highlight: This question tests understanding of angle properties in parallel lines and triangles, crucial concepts in geometry.

Vocabulary: Corresponding angles - Angles in the same relative position when a line crosses two other lines.

Page 8: Question 10

This final page focuses on ratio problems, a crucial topic in GCSE Maths past papers Foundation.

Question 10 provides the following information: x/a = 2³, a/b = 2⁻³, and b/c = 2⁴

Students are asked to find the ratio a:b:c.

Solution:

1. From x/a = 2³, we can deduce a:x = 1:8
2. From a/b = 2⁻³, we get a:b = 1:8
3. From b/c = 2⁴, we have b:c = 16:1

Combining these ratios: a:b:c = 8:1:1/16 = 128:16:1

Simplifying: a:b:c = 8:1:1/16 = 128:16:1 = 16:2:1/8 = 128:16:1

Example: In the ratio 16:2:1/8, multiply all terms by 8 to eliminate fractions: 128:16:1

Highlight: This question tests understanding of ratios and powers, demonstrating the importance of algebraic manipulation in GCSE Maths past papers.