14. (a) The number machine below adds 3 to the input number and then multiplies by 2

Complete the input and output table for this machine.

31. In the grid below, each symbol represents a number.

The total of each row and column is shown.

Work out which number each symbol represents.

Answer:

32. Thomasina, Dixie and Harriet are playing a game of marbles.

They start with 20 marbles each and they play three rounds.

In the first round, Dixie wins 4 marbles from Thomasina and loses 5 to Harriet.

In the second round, Harriet wins 6 marbles from Dixie and loses 2 to Harriet.

In the second round, Thomasina wins 3 marbles from Harriet and loses 6 to Harriet.

How many marbles does each girl have at the end of the three rounds ?