Algorithm calculations

What number will the robot return?

(a)  

Answer explanation

Step-by-step:

36 – 24 = 12 → (12, 24)

24 – 12 = 12 → (12, 12)

Robot returns: 12

Steps taken: 2 steps

The robot starts with 15 and 10 and follows the same method.

What pattern is the robot using?

(a)  

Answer explanation

15 – 10 = 5 → (5, 10)

10 – 5 = 5 → (5, 5)

Robot returns: 5

Steps taken: 2 steps

Pattern: Algorithm

A robot is given two numbers: 18 and 30

It follows the same step-by-step method to find the biggest number that can divide both without remainder.

How many steps did it take to reach it?

(a)  

Answer explanation

30 – 18 = 12 → (18, 12)

18 – 12 = 6 → (6, 12)

12 – 6 = 6 → (6, 6)

Robot returns: 6

Steps: 3 steps

Name of process: Algorithm

Two numbers, 48 and 18, are given to a robot. It follows this same repeated subtraction rule.

What number will the robot return?

(a)  

Answer explanation

48 – 18 = 30

30 – 18 = 12

18 – 12 = 6

12 – 6 = 6 → (6, 6)

Robot returns: 6

Steps: 4 steps

Pattern: Algorithm

The robot is given 14 and 6.

How many steps were taken

(a)  

Answer explanation

14 - 6 = 8

8 - 6 = 2

6 - 2 = 4

4 - 2 = 2

Robot returns 2

It takes 4 steps