Lemmara logoLemmaraWorked solution

0580/33 Oct/Nov 2024, Question 1: Nets of 3D Shapes

Cambridge IGCSE Mathematics 0580 · Paper 33 (Core) · Calculator · 13 marks

اقرأ هذا الحل مشروحاً بالعربي ←

The question, in short

Using $20 at $2.29 per box, find how many cereal boxes Li can buy, convert 5 boxes of 615 g to kilograms, and find the volume of a 25 cm by 20 cm by 5 cm cuboid.

Summarised in our own words. Use the official paper for the exact wording and the diagram.

Part (ai) · 2 marks

Find the largest whole number of cereal boxes costing $2.29 each that can be bought with $20.

  1. 120 ÷ 2.29 = 8.73…
  2. 2She can buy 8 boxes

Answer8

Part (aii) · 2 marks

Find the combined mass in kilograms of 5 cereal boxes, each with mass 615 g.

  1. 1615 × 5 = 3075 g
  2. 23075 ÷ 1000 = 3.075 kg

Answer3.075

Part (aiii) · 1 mark

Find the volume of a cuboid with side lengths 25 cm, 20 cm and 5 cm.

  1. 125 × 20 × 5 = 2500 cm³

Answer2500

Part (b) · 3 marks

On the 1 cm² grid, finish drawing a net for a 6 cm by 3 cm by 1 cm cuboid, starting from the given 6 cm by 3 cm face.

  1. 1Faces needed: two 6 × 3, two 6 × 1, two 3 × 1
  2. 2Row: 6 × 3, 6 × 1, 6 × 3, 6 × 1 joined along the 6 cm edges
  3. 3Put a 3 × 1 face on each end of one 6 × 3 face

AnswerFully correct net

Part (ci) · 1 mark

Using the pie chart where the fat sector is 36°, find the percentage of the cereal's mass that is fat.

  1. 136/360 × 100 = 10%

Answer10

Part (cii) · 2 marks

Given that carbohydrate makes up 60% of the cereal's mass, finish the pie chart.

  1. 1Carbohydrate = 60% of 360° = 216°
  2. 2Measure the protein sector on the chart: 68°
  3. 3Fibre = 360 − 36 − 68 − 216 = 40°
  4. 4Draw the 216° and 40° sectors and label them: Correct pie chart

AnswerCorrect pie chart

Part (ciii) · 2 marks

Find how many grams of protein are in 30 g of cereal, using the pie chart's protein sector.

  1. 1Measure the protein angle with a protractor: 68°.
  2. 2Protein is 68/360 of the cereal.
  3. 368/360 × 30 = 5.666… g
  4. 4Mass of protein = 5.67 g

Answer5.67 or 5.666 to 5.67

Stuck on a step? Read the free lesson: Nets of 3D Shapes

Practise more nets of 3d shapes questions

Real 0580 past-paper questions, marked on your working like the exam, with a worked solution for every part.

Practise free on Lemmara

More past-paper questions on nets of 3d shapes

Also searched as: 0580/33/O/N/24 · 0580_w24_qp_33 · 0580 w24 33 · question 1.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.