Maths in design and technology: practice

Question 11 mark

Spec and skills

Paper scope: AQA Section 3.3 · Edexcel Topic 1 · OCR Areas 1, 2, 4, 7 and 8
Topic spec AQA 7.1
Topic spec Edexcel Appendix 1
Topic spec OCR 7.3
Topic spec OCR 8.1
Skill: costs
Skill: calculation
Learning check
AQA 8552 Version 1.2, 6 June 2022; Edexcel 1DT0 Issue 4, November 2022; OCR J310 Version 2.0, June 2026

The materials for a batch of 40 bird boxes cost £180. What is the material cost of one bird box?

Question 21 mark

Spec and skills

Paper scope: AQA Section 3.3 · Edexcel Topic 1 · OCR Areas 1, 2, 4, 7 and 8
Topic spec AQA 7.1
Topic spec Edexcel Appendix 1
Topic spec OCR 7.3
Topic spec OCR 8.1
Skill: percentages
Skill: costs
Learning check
AQA 8552 Version 1.2, 6 June 2022; Edexcel 1DT0 Issue 4, November 2022; OCR J310 Version 2.0, June 2026

A phone case costs £12 to make and sells for £18. What is the profit as a percentage of the cost?

Question 31 mark

Spec and skills

Paper scope: AQA Section 3.3 · Edexcel Topic 1 · OCR Areas 1, 2, 4, 7 and 8
Topic spec AQA 7.1
Topic spec Edexcel Appendix 1
Topic spec OCR 7.3
Topic spec OCR 8.1
Skill: percentages
Skill: area
Learning check
AQA 8552 Version 1.2, 6 June 2022; Edexcel 1DT0 Issue 4, November 2022; OCR J310 Version 2.0, June 2026

Parts with a total area of 180,000 mm² are laser cut from a 600 mm × 400 mm sheet of acrylic. What percentage of the sheet is wasted?

Question 41 mark

Spec and skills

Paper scope: AQA Section 3.3 · Edexcel Topic 1 · OCR Areas 1, 2, 4, 7 and 8
Topic spec AQA 7.1
Topic spec Edexcel Appendix 1
Topic spec OCR 7.3
Topic spec OCR 8.1
Skill: area
Learning check
AQA 8552 Version 1.2, 6 June 2022; Edexcel 1DT0 Issue 4, November 2022; OCR J310 Version 2.0, June 2026

A triangular plywood gusset has a base of 120 mm and a perpendicular height of 80 mm. What is its area?

Question 51 mark

Spec and skills

Paper scope: AQA Section 3.3 · Edexcel Topic 1 · OCR Areas 1, 2, 4, 7 and 8
Topic spec AQA 7.1
Topic spec Edexcel Appendix 1
Topic spec OCR 7.3
Topic spec OCR 8.1
Skill: volume
Skill: density
Learning check
AQA 8552 Version 1.2, 6 June 2022; Edexcel 1DT0 Issue 4, November 2022; OCR J310 Version 2.0, June 2026

A pine block measures 200 mm × 50 mm × 30 mm. The pine has a density of 0.5 g/cm³. What is the mass of the block?

Question 61 mark

Spec and skills

Paper scope: AQA Section 3.3 · Edexcel Topic 1 · OCR Areas 1, 2, 4, 7 and 8
Topic spec AQA 7.1
Topic spec Edexcel Appendix 1
Topic spec OCR 7.3
Topic spec OCR 8.1
Skill: ratio
Learning check
AQA 8552 Version 1.2, 6 June 2022; Edexcel 1DT0 Issue 4, November 2022; OCR J310 Version 2.0, June 2026

A two-part adhesive is mixed with resin and hardener in the ratio 4 : 1. How much resin is needed for 250 ml of mixed adhesive?