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Maths
Simon Says Numbers
1) Going round the room, number yourself in sequence starting
from 10
2) I will call out a maths statement and an instruction
3) If your number follows the statement, follow the instruction
(e.g. I say – stand up if you are a multiple of 8;
… the numbers 16, 24 and 32 stand up)
4) You are eliminated when you get one wrong.
5) Last person left is the winner!
Maths
Fractions are a Piece of Cake
Algernon’s mum baked his favourite cake.
His dad ate 1/6 of the cake.
His brother ate 1/5 of what was left.
Then his sister had 1/4 of what was left.
After that his mum ate 1/3 of the remaining cake and the dog
ate half of what was left.
What fraction of the whole cake is left for Algernon to eat?
Solution: 1/6
Everyone ate the same amount - his brother ate 1/5 of 5/6,
his sister ate 1/4 of 4/6 etc.
Powers - The Power of Rodents
A local primary school had a hamster in every class.
Unfortunately, exactly a year ago two escaped.
They have been breeding under the school and the population
has doubled every six weeks.
How many are there now?
Solution: 256
52 / 6 = 8. 28 = 256
Maths
Percentages - Khallesi’s Tasty Cake
Khallesi is becoming famous for her Mexico Mud Cake.
Unfortunately 76.8% of the people who have tried it
so far didn’t like it – mainly because one of the main
ingredients is mud from Mexico.
Based on the percentage, at least how many people
must have tried it?
Solution: 125 people
Converting the percentage into a gives 768/1000.
Reducing this to the lowest terms, 768/1000 = 96/125.
The denominator is the minimum number required to get the answer.
Maths
Algebra - One Great Leap…
Dennis rushes to school at an average speed of 6 km/h, to make
sure he is not late. On the way home, for a dare, he hops all the
way, and achieves an impressive average speed of 4 km/h.
What is his average speed for the journey there and back?
Solution: 4.8 km/h.
If the distance to school is d, then the total time for the
journey t=d/6+d/4 = 5d/12. Rearranging d = 2.4t.
The total distance of the journey is 2d, so the equation for the
average speed is: 2d/t. Substituting in the value for d, the
average speed = 2 x 2.4 t/t (where t cancels out) = 4.8 km/h.
Maths

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maths-taster-activities.ppt

  • 1. Maths Simon Says Numbers 1) Going round the room, number yourself in sequence starting from 10 2) I will call out a maths statement and an instruction 3) If your number follows the statement, follow the instruction (e.g. I say – stand up if you are a multiple of 8; … the numbers 16, 24 and 32 stand up) 4) You are eliminated when you get one wrong. 5) Last person left is the winner!
  • 2. Maths Fractions are a Piece of Cake Algernon’s mum baked his favourite cake. His dad ate 1/6 of the cake. His brother ate 1/5 of what was left. Then his sister had 1/4 of what was left. After that his mum ate 1/3 of the remaining cake and the dog ate half of what was left. What fraction of the whole cake is left for Algernon to eat? Solution: 1/6 Everyone ate the same amount - his brother ate 1/5 of 5/6, his sister ate 1/4 of 4/6 etc.
  • 3. Powers - The Power of Rodents A local primary school had a hamster in every class. Unfortunately, exactly a year ago two escaped. They have been breeding under the school and the population has doubled every six weeks. How many are there now? Solution: 256 52 / 6 = 8. 28 = 256 Maths
  • 4. Percentages - Khallesi’s Tasty Cake Khallesi is becoming famous for her Mexico Mud Cake. Unfortunately 76.8% of the people who have tried it so far didn’t like it – mainly because one of the main ingredients is mud from Mexico. Based on the percentage, at least how many people must have tried it? Solution: 125 people Converting the percentage into a gives 768/1000. Reducing this to the lowest terms, 768/1000 = 96/125. The denominator is the minimum number required to get the answer. Maths
  • 5. Algebra - One Great Leap… Dennis rushes to school at an average speed of 6 km/h, to make sure he is not late. On the way home, for a dare, he hops all the way, and achieves an impressive average speed of 4 km/h. What is his average speed for the journey there and back? Solution: 4.8 km/h. If the distance to school is d, then the total time for the journey t=d/6+d/4 = 5d/12. Rearranging d = 2.4t. The total distance of the journey is 2d, so the equation for the average speed is: 2d/t. Substituting in the value for d, the average speed = 2 x 2.4 t/t (where t cancels out) = 4.8 km/h. Maths

Editor's Notes

  1. This activity can be used to reinforce understanding of key concepts, such as the vocabulary of prime numbers, factors (or divisors), multiples, common factors, common multiples. Instructions can be straightforward (e.g. stand up) or more unusual (put your hand on your head, stand on one leg etc.) (Links to: Maths / Key Stage 3 / Number)
  2. Links to Maths / Key Stage 3 / Algebra
  3. Links to Maths / Key Stage 3 / Powers
  4. Links to Maths / Key Stage 3 / Numbers / percentages
  5. Links to Maths / Key Stage 3 / Algebra