Year 7 Being curious

An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.

Think of a number and follow the machine's instructions... I know what your number is! Can you explain how I know?

Can you find a reliable strategy for choosing coordinates that will locate the treasure in the minimum number of guesses?

What is the smallest number of answers you need to reveal in order to work out the missing headers?

The Number Jumbler can always work out your chosen symbol. Can you work out how?

Use your knowledge of place value to try to win this game. How will you maximise your score?

Can you use the clues to complete these 5 by 5 Mathematical Sudokus?

15 = 7 + 8 and 10 = 1 + 2 + 3 + 4. Can you say which numbers can be expressed as the sum of two or more consecutive integers?

Can you find six numbers to go in the daisy from which you can make all the numbers from 1 to a number bigger than 25?

In how many ways can you fit all three pieces together to make shapes with line symmetry?

How many different symmetrical shapes can you make by shading triangles or squares?

Try entering different sets of numbers in the number pyramids. How does the total at the top change?

Can you arrange these numbers into 7 subsets, each of three numbers, so that when the numbers in each are added together, they make seven consecutive numbers?

Find the frequency distribution for ordinary English, and use it to help you crack the code.

Explore the effect of reflecting in two parallel mirror lines.

Can you arrange the numbers 1 to 17 in a row so that each adjacent pair adds up to a square number?

Can you find a way to identify times tables after they have been shifted up or down?

Here is a chance to create some attractive images by rotating shapes through multiples of 90 degrees, or 30 degrees, or 72 degrees or...

Follow this recipe for sieving numbers and see what interesting patterns emerge.

I'm thinking of a rectangle with an area of 24. What could its perimeter be?

Can you find sets of numbers which satisfy each of our mean, median, mode and range conditions?

Can you figure out how sequences of beach huts are generated?

A colourful cube is made from little red and yellow cubes. But can you work out how many of each?

Take an equilateral triangle and cut it into smaller pieces. What can you do with them?

In the 2020 Olympic Games, sport climbing was introduced for the first time, and something very interesting happened with the scoring system. Can you find out what was interesting about it?

When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...

If you move the tiles around, can you make squares with different coloured edges?