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Suppose you have two 1’s, two 2’s, and two 3’s.
Make ‘sandwiches’ with the 1’s, 2’s and 3’s as slices of bread by arranging these six digits in a list so:
between the two 1’s there is one digit giving 1?1; between the two 2’s there there are two digits giving 2??2; between the two […]
This is a game for 2 players. You should have 16 objects.
Arrange the objects in 4 rows with 7 on the bottom row, then a row of 5, then 3, then 1 at the top.
Players take turns to choose a row and to remove any number of objects from that row.
[…]
How many triangles can you find? Look carefully, there may be more than you think!
Click here to download a worksheet
How many different ways can you arrange 3 coloured counters in a row? Record each arrangement.
Now try 4 counters.
Click here to download a worksheet.
Resources: Coloured counters. Bottle tops are good for this.
This is a game for two players (or a class split into two teams).
Take it in turns to choose one of the numbers 1 to 9. It is now your number and your opponent cannot choose it. Each number can be chosen only once.
To win, be the first to pick 3 numbers that […]
Can you find the chosen number from this square using the clues below?
1. The number is odd.
2. It is a multiple of three.
3. It is smaller than 7 x 4.
4. It has an even tens digit.
5. It is the greater of the two possibilities.
[…]
Can you find numbers to replace the ? marks to solve this two by two multiplication puzzle? Can you explain how it works?
How does the diagram below connect with the multiplication?
Use the two grids to do the two multiplications:
72 × 25 […]
The sum of the first 48 terms of an arithmetic series is 4 times the sum of the first 36 terms.
What is the sum of the first 30 terms?
The area of triangle PQR is 3√3 square centimetres. Angle PRQ is 60 degrees and RQ is 4 centimetres longer than PR.
Find the length of PQ.
Draw ΔPQR accurately.
Calculate all the angles in the triangle.
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