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### Advanced mathematics

# Short Problem Showcase

### Equal Means

### Red Card Blue Card

### Common Remainder

### Magic 7

### Trapezium Arch

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### Patterns in Number Sequences

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Did you know we have a huge archive of short problems?

We have decide to feature some of our favourites, and if this whets your appetite, check out the full collection.

We have decide to feature some of our favourites, and if this whets your appetite, check out the full collection.

Age 14 to 16

ShortChallenge Level

What value of x makes the mean of the first three numbers in this list equal to the mean of the other four?

Age 11 to 14

ShortChallenge Level

Can you arrange the red and blue cards so that the rules are all followed?

Age 11 to 14

ShortChallenge Level

144 divided by n leaves a remainder of 11. 220 divided by n also leaves a remainder of 11. What is n?

Age 11 to 14

ShortChallenge Level

Can you complete this magic square with the numbers from 7 to 15?

Age 11 to 14

ShortChallenge Level

Weekly Problem 27 - 2007

Ten stones form an arch. What is the size of the smallest angles of the trapezoidal stones?

Ten stones form an arch. What is the size of the smallest angles of the trapezoidal stones?

These resources are designed to get you thinking about number sequences and patterns.