Year 7 Being resilient

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

A game for two people, or play online. Given a target number, say 23, and a range of numbers to choose from, say 1-4, players take it in turns to add to the running total to hit their target.

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

Ten cards are put into five envelopes so that there are two cards in each envelope. The sum of the numbers inside it is written on each envelope. What numbers could be inside the envelopes?

I'm thinking of a number. My number is both a multiple of 5 and a multiple of 6. What could my number be?

Some of the numbers have fallen off Becky's number line. Can you figure out what they were?

How many solutions can you find to this sum? Each of the different letters stands for a different number.

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?

Are these games fair? How can you tell?

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

Using your knowledge of the properties of numbers, can you fill all the squares on the board?

If you are given the mean, median and mode of five positive whole numbers, can you find the numbers?

Each clue in this Sudoku is the product of the two numbers in adjacent cells.

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

By selecting digits for an addition grid, what targets can you make?

How many ways can you find to put in operation signs (+, −, ×, ÷) to make 100?

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?

A 2 by 3 rectangle contains 8 squares and a 3 by 4 rectangle contains 20 squares. What sizes of rectangle contain exactly 100 squares? Can you find them all?

Start with two numbers and generate a sequence where the next number is the mean of the last two numbers...