Working systematically

problem

Blockupied

Age

11 to 14

Challenge level

2 out of 3

A 1×2×3 block is placed on an 8×8 board and rolled several times.... How many squares has it occupied altogether?
problem

Even Squares

Age

11 to 14

Challenge level

2 out of 3

Can you find squares within a number grid whose entries add up to an even total?
problem

Double With 1 to 9

Age

11 to 14

Challenge level

2 out of 3

Can you find a number and its double using the digits $1$ to $9$ only once each?
problem

Rolling Along the Trail

Age

11 to 14

Challenge level

2 out of 3

What could be the scores from five throws of this dice?
problem

The Square of My Age

Age

11 to 14

Challenge level

2 out of 3

Lauren and Thomas tell their ages in terms of sums of squares. Can you work out how old they really are?
problem

Staircase Sum

Age

11 to 14

Challenge level

2 out of 3

The digits 1-9 have been written in the squares so that each row and column sums to 13. What is the value of n?
problem

Latin Multiplication

Age

11 to 14

Challenge level

2 out of 3

Can you choose one number from each row and column in this grid to form the largest possibe product?
problem

Football Sum

Age

11 to 14

Challenge level

2 out of 3

Find the values of the nine letters in the sum: FOOT + BALL = GAME
problem

Pair Sums

Age

11 to 14

Challenge level

3 out of 3

Five numbers added together in pairs produce: 0, 2, 4, 4, 6, 8, 9, 11, 13, 15 What are the five numbers?
problem

Coins

Age

11 to 14

Challenge level

3 out of 3

A man has 5 coins in his pocket. Given the clues, can you work out what the coins are?