This free LCM and HCF PowerPoint features Batman-themed questions. Students need to solve problems about grouping and pairing items.
LCM questions
- Issue 1: Batman wants to match grenades with grappling ropes. The LCM helps find the smallest number of each item he needs to order so there are no leftovers.
- Issue 2: Batman wants to match tyres with head gaskets, but two tyres go with one gasket. The LCM is used again, adjusted for the pairing rule, to find the smallest order that works.
HCF questions
- Issue 3: Batman wants to divide his missiles and oil canisters into the largest possible equal groups. The HCF helps him find the maximum number of groups without sacrificing anything.
- Issue 4: Batman wants to split throwing stars and stun grenades into equal groups. The HCF helps determine the biggest group size he can use for both.
These questions show how HCF and LCM help solve real-life problems about sharing and organising.
LCM and HCF questions
Question 1
Batman wants to order some grenades and some grappling ropes. Grenades come in boxes of 12. Grappling ropes come in boxes of 16. He wants to put 1 grappling rope with 1 grenade.
What is the smallest number of each item he should order?
Question 2
Batman wants to order some tyres and head gaskets for the Batmobile. Tyres come in packs of 6. Head gaskets come in boxes of 10. He wants to put 2 tyres with 1 head gasket.
What is the smallest number of each item he should order?
Question 3
Batman has some missiles and oil canisters that create oil slicks from the Batmobile lying around the Batcave. He has 64 missiles and 24 oil canisters in total.
He wants to put them into the largest number of equal groups, using all the items. How many groups should he make?
Question 4
Batman also has some throwing stars and stun grenades lying around the Batcave. He has 90 throwing stars and 54 stun grenades in total.
He wants to put them into the largest number of equal groups, using all the items. How many groups should he make?
Andy Lutwyche is a purveyor of mathematics and a producer of resources, more of which you can find in his TES shop. You can also follow him on X at @andylutwyche. Download an HCF and LCM KS4 maths lesson plan.
