Problem Solving & Word Problems: Hard Test 2

15 questions · 15 minutes

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I think of a number, divide it by 3 and then add 7. The answer is 19. What was my number?
Tim has £4.35 made up of 30 coins, all of which are 20p or 5p coins. How many 20p coins does he have?
The mean of four numbers is 18. Three of the numbers are 15, 20 and 22. What is the fourth number?
In a sale everything is reduced by 30%. A bag now costs £42. What was its original price?
Sam is 5 years older than Tom. Together their ages add up to 33. How old is Tom?

Write down each step as you go. Method marks are frequently available even when the final answer is wrong.
At the end, check the answer against the question. If a child's change from a ten pound note comes to twelve pounds, something has gone wrong earlier.