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Problem solving worksheet

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Year 9 Mathematics
Exercise 5E Review
Name:
School Number:
Teacher:
1. If 4 is subtracted from twice a number, the result is 10 less than the number. Find the number.
2. On an algebra test, the highest grade was 42 marks higher than the lowest grade. The sum of the
two grades was 138. Find the lowest grade.
3. Tickets to the AFL game were $2.50 for general admission and 50 cents for kids. If there were 6
times as many general admission tickets sold as there were kids’ tickets and the total receipts were
$7750, how many types of each ticket was sold?
4. Nancy is 6 years older than Patrick. 5 years ago, she was twice as old as him. How old is Nancy
and Patrick now?
5. The perimeter of a rectangle is 44 cm. The length is 5 cm less than double the width. Find the
dimensions.
6. Melissa went shopping and spent half of her money on shoes, a third on a blouse, a tenth to
take her friend to lunch, and she came home with $12. How much did she start out with?
[Hint: Let x = How much she started out with]
7. Erin is making thirty shirts for her upcoming family reunion. At the reunion she is selling each
shirt for $18 a piece. If each shirt cost her $10 a piece to make, how much profit does she make if
she only sells 25 shirts at the reunion?
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8. If 5 of a number is 4 more than ½ the number, then what is the number?
END OF REVIEW
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