Mathematical challenges for able pupils. Year 1 B Securing number facts, understanding shape
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1 Mathematical challenges for able pupils Year 1 B Securing number facts, understanding shape
2 Pick a pair Choose from these numbers Pick a pair of numbers. Add them together. Write the numbers and the answer. Pick a different pair of numbers. Write the numbers and the answer. Keep doing it. How many different answers can you get? 2. Now take one number from the other. How many different answers can you get now? Know addition and subtraction facts up to 10.
3 Solution to the Pick a pair problem. There are six different sums and six different (positive) differences = = = = = = = = = = = = 6 Adapt the puzzle by using larger numbers. Know addition and subtraction facts up to 10.
4 Card sharp Take ten cards numbered 0 to Pick Can three 2. On you Now your cards pick pick next five with four cards click a cards total you with of with will 12. a total a You total of can 12? of do 12. it in 10 different How find ways.see many the different answers. you ways can record can you them do it? all. Know addition facts to at least 10. Solve a problem by sorting, classifying and organising information
5 Solution to the problem. 1. There are 10 different ways to choose three cards with a total of 12: 0, 3, 9 1, 2, 9 2, 3, 7 3, 4, 5 0, 4, 8 1, 3, 8 2, 4, 6 0, 5, 7 1, 4, 7 1, 5, 6 2. There are 9 different ways to choose four cards with a total of 12: 0, 1, 2, 9 0, 2, 3, 7 1, 2, 3, 6 0, 1, 3, 8 0, 2, 4, 6 1, 2, 4, 5 0, 1, 4, 7 0, 3, 4, 5 0, 1, 5, 6 3. No. Know addition facts to at least 10. Solve a problem by sorting, classifying and organising information
6 Ducks and puddles Dan threw 3 rubber ducks. Each duck went in a puddle. More than one duck can go in a puddle. The scores are written in the puddles What Find What other three is scores the ways highest can to score Dan score get? Dan can Next click brings you get? the solutions... Know addition facts up to 10.
7 Solution to the Ducks and Puddles problem. 1. The highest score is 12 (3 ducks in 4). 2. Score 6 in three ways: 1 duck in 4 and 2 ducks in 1, or 1 duck in 1, 1 duck in 2 and 1 duck in 3, or 3 ducks in Score 9 in three ways: 1 duck in 1 and 2 ducks in 4, or 1 duck in 2, 1 duck in 3, 1 duck in 4, or 3 ducks in 3. Know addition facts up to Besides 6, 9 and 12, other possible scores are: 3: 3 ducks in 1 4: 2 ducks in 1, 1 ducks in 2 5: 2 ducks in 1, 1 duck in 3, or 1 duck in 1, 2 ducks in 2 7: 1 duck in 1, 2 ducks in 3, or 2 ducks in 2, 1 duck in 3, or 1 duck in 1, 1 duck in 2, 1 duck in 4 8: 2 ducks in 2, 1 duck in 4, or 1 duck in 2, 2 ducks in 3, or 1 duck in 1, 1 duck in 3, 1 duck in 4 10: 1 duck in 2, 2 ducks in 4
8 Fireworks Emma had some fireworks. Some made 3 stars. Some made 4 stars. Altogether What if Emma s Emma s fireworks fireworks made made 25 stars? 19 stars. How Find two many different of them answers. made 3 stars? Find two different answers. Count on in steps of 3 or 4 from zero, or from any small number.
9 Solution for Fireworks For 19 stars: 5 fireworks made 3 stars and 1 made 4 stars or 1 firework made 3 stars and 4 made 4 stars For 25 stars: 3 fireworks made 3 stars and 4 fireworks made 4 stars, or 7 fireworks made 3 stars and 1 firework made 4 stars Count on in steps of 3 or 4 from zero, or from any small number.
10 Thank You
11 References and additional resources. These units were organised using advice given at: PowerPoint template published by These Mental Maths challenges can be found as a PDF file at : The questions from this PowerPoint came from: Mathematical challenges for able pupils in Key Stages 1 and 2 Corporate writer was Department for Education and Employment and it is produced under a Crown copyright 2000 Contains public sector information licensed under the Open Government Licence v3.0. ( All images used in this PowerPoint was found at the free Public Domain Clip Art site. (
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Depositing a student thesis in the Epsilon Archive for Student Theses :
Depositing a student thesis in the Epsilon Archive for Student Theses : This step-by-step guide presupposes that you have already created a user account in the archive. If you haven t already done so,