Mathematical challenges for able pupils. Year 1 A Counting, partitioning and calculating
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1 Mathematical challenges for able pupils Year 1 A Counting, partitioning and calculating
2 Four-pin bowling Which pins must Joshua knock down to score exactly 5? Next Find click 2 different will bring ways you to score the answers! Know addition and subtraction facts up to 10.
3 Solution to the Four-pin bowling problem. Score 5 by knocking down 1 and 4 or 2 and 3. Score 6 by knocking down 2 and 4 or 1, 2 and 3. Score 7 by knocking down 3 and 4, or 1, 2 and 4. Know addition and subtraction facts up to 10.
4 Gold bars Pete is a pirate. His gold bars are in piles. He can move one or more bars at a time. He made all the piles the same height. He made just two moves. How did he do it? Explain methods and reasoning.
5 Solution to the 7 Gold bars problem. Move two bars from pile 1 to pile 3. Move one bar from pile 4 to pile 2. Explain methods and reasoning.
6 Snakes and ladders Start Your counter is on 9. You roll a 1 to 6 dice. After two moves you land on 16. Find all the different ways you can do it. Now think of other questions you could ask. Count on from any small number.
7 Solution to the Snakes and ladders problem. Watching out for snakes, there are four different ways to get to 16 in two throws: 1 then 6 3 then 4 4 then 3 5 then 2 Count on from any small number.
8 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.
9 Solution to the Pick a pair problem. There are six different sums and six different (positive) differences = = = = = = = = = = = = 7 Adapt the puzzle by using larger numbers. Know addition and subtraction facts up to 10.
10 Bean-bag buckets Dan threw 3 bean-bags. Each bag went in a bucket. More than one bag can go in a bucket. The scores are written on the buckets 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.
11 Solution to the Bean-bag buckets problem. 1. The highest score is 12 (3 bags in 4). 2. Score 6 in three ways: 1 bag in 4 and 2 bags in 1, or 1 bag in 1, 1 bag in 2 and 1 bag in 3, or 3 bags in Score 9 in three ways: 1 bag in 1 and 2 bags in 4, or 1 bag in 2, 1 bag in 3, 1 bag in 4, or 3 bags in 3. Know addition facts up to Besides 6, 9 and 12, other possible scores are: 3: 3 bags in 1 4: 2 bags in 1, 1 bag in 2 5: 2 bags in 1, 1 bag in 3, or 1 bag in 1, 2 bags in 2 7: 1 bag in 1, 2 bags in 3, or 2 bags in 2, 1 bag in 3, or 1 bag in 1, 1 bag in 2, 1 bag in 4 8: 2 bags in 2, 1 bag in 4, or 1 bag in 2, 2 bags in 3, or 1 bag in 1, 1 bag in 3, 1 bag in 4 10: 1 bag in 2, 2 bags in 4
12 Crossword Write the answers to this puzzle in words: ONE, TWO, THREE.. (UP TO TWELVE) Across Down Use known number facts and place value to add and subtract mentally. Read and write whole numbers. 5
13 Solution to the Crossword problem T W O S I X N E T W E L V E E 5 E N N I N E Use known number facts and place value to add and subtract mentally. Read and write whole numbers.
14 Sum up Choose from these four cards. Make these totals: What other totals can you make from the cards? Know addition and subtraction facts to at least 10. Add three small numbers mentally.
15 Solution to the Sum Up problem. If each number can be used only once: 9 = = = = = = = Other solutions are possible if numbers can be repeated. Other totals: 5 = = = Know addition and subtraction facts to at least 10. Add three small numbers mentally. 17 =
16 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
17 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
18 Thank You For Working!
19 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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