Unit 3 · Measurement and Data

500g or 2.5kg — Cheapest Way to Get 4 kg?

Lesson 7 of 12

Premium

About this lesson

Dog food comes in two sizes: 500 g for $1 and 2.5 kg for $4.50. Joe needs exactly 4 kg. What's the cheapest way to get there? This is a combination problem — you must first find all combinations of boxes that total exactly 4 kg, then compare costs. Options A to D are traps: they look cheaper but don't actually sum to 4 kg.

Chapters

0:00Introduction
0:22The Question
1:08Standardising the units and listing options
1:37Testing combination A (small boxes only)
1:58Testing combination B (mixed sizes)
2:28Testing combination C and final selection
2:58Strategic exam tip
3:33Correct answer

Question

Woof dog food is sold in two different sizes.

A box containing 500 g costs $1.

A box containing 2½ kg costs $4.50.

Joe needs to buy exactly 4 kg of dog food.

What is the lowest total price he can pay?

Free account · OC

Take your OC prep further

  • Sample questions & worked solutions across core OC topics
  • Digital exam simulator with interactive practice sets
  • Personalised progress tracking across all your devices
Create free account

Already have an account? Log in here

No payment required. Compare OC plans

0 of 12 lessons completed

0%

Give Your Child the Best Chance at OC Entry

Join NSW families preparing their children for the Opportunity Class Placement Test with the most realistic online OC practice tests available. First tests free—no credit card required.

Claim Your Free OC Practice Tests