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Class 7 Word Problems — practice questions with answers

Simple Equations · 5 sample questions from the school syllabus. Try each one, then open the answer and the worked solution.

1. A number increased by 7 gives 15. What is the number?
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Answer: A) 8
Let the number be x. x + 7 = 15, so x = 15 - 7 = 8.
2. The length of a rectangle is 5 m more than its width. If the width is w, which expression gives the length?
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Answer: A) w + 5
Length is 5 more than width w, so length = w + 5.
3. Solve: 'I am thinking of a number. If I add 9 to one-third of it, I get 14.' What is the number?
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Answer: A) 15
, , x = 15.
4. In a two-digit number, the tens digit is 3 and the units digit is u.
The value of the number is 38.
Form and solve the equation for u.
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Answer: A) 8
Value = 30 + u = 38, so u = 8.
5. A two-digit number has the units digit twice the tens digit.
The tens digit is t and the number's digit sum (tens + units) is 9.
Find the tens digit t.
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Answer: B) 3
Units = 2t. Digit sum: t + 2t = 9, 3t = 9, t = 3 (the number is 36).
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