Problem Solving & Word Problems: Hard Test 1

15 questions · 15 minutes

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I think of a number, multiply it by 3, subtract 8 and then divide by 4. The answer is 7. What was my number?
A field holds only chickens and rabbits. There are 35 heads and 94 feet altogether. How many rabbits are there?
The mean of Maya's first five test scores is 72. What must she score in her sixth test to raise her mean to 75?
Three shirts and two ties cost £96 altogether. A shirt costs £22. What is the cost of one tie?
A television costs £250. Its price is increased by 20% and then reduced by 20% in a sale. What is the final price?

Underline the numbers and circle what is actually being asked. Many lost marks come from answering a question that was not set.
Write down each step as you go. Method marks are frequently available even when the final answer is wrong.