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# Year 11 Exploring and Noticing

### Power Countdown

### How Old Am I?

### Beelines

### Factorising with Multilink

### Partly Painted Cube

### Training Schedule

### Where to Land

### Matchless

### Difference of Two Squares

### The Legacy

### Square Number Surprises

### Dating Made Easier

### Vector Journeys

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Age 14 to 16

Challenge Level

In this twist on the well-known Countdown numbers game, use your knowledge of Powers and Roots to make a target.

Age 14 to 16

Challenge Level

In 15 years' time my age will be the square of my age 15 years ago. Can you work out my age, and when I had other special birthdays?

Age 14 to 16

Challenge Level

Is there a relationship between the coordinates of the endpoints of a line and the number of grid squares it crosses?

Age 14 to 16

Challenge Level

Can you find out what is special about the dimensions of rectangles you can make with squares, sticks and units?

Age 14 to 16

Challenge Level

Jo made a cube from some smaller cubes, painted some of the faces of the large cube, and then took it apart again. 45 small cubes had no paint on them at all. How many small cubes did Jo use?

Age 14 to 16

Challenge Level

The heptathlon is an athletics competition consisting of 7 events. Can you make sense of the scoring system in order to advise a heptathlete on the best way to reach her target?

Age 14 to 16

Challenge Level

Chris is enjoying a swim but needs to get back for lunch. How far along the bank should she land?

Age 14 to 16

Challenge Level

There is a particular value of x, and a value of y to go with it, which make all five expressions equal in value, can you find that x, y pair ?

Age 14 to 16

Challenge Level

What is special about the difference between squares of numbers adjacent to multiples of three?

Age 14 to 16

Challenge Level

Your school has been left a million pounds in the will of an ex- pupil. What model of investment and spending would you use in order to ensure the best return on the money?

Age 14 to 16

Challenge Level

There are unexpected discoveries to be made about square numbers...

Age 14 to 16

Challenge Level

If a sum invested gains 10% each year how long before it has doubled its value?

Age 14 to 18

Challenge Level

Charlie likes to go for walks around a square park, while Alison likes to cut across diagonally. Can you find relationships between the vectors they walk along?