Written Instructions:
For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..
For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.
Leave your answers in the simplest form or correct to two decimal places.
| 1) 3 times a number decreased by 3 gives 21. Find the number.
Answer:_______________ |
| 2) 5 times a number decreased by 10 gives 35. Find the number.
Answer:_______________ |
| 3) 4 times a number decreased by 8 gives 48. Find the number.
Answer:_______________ |
| 4) 6 times a number decreased by 6 gives 42. Find the number.
Answer:_______________ |
| 5) 2 times a number decreased by 4 gives 22. Find the number.
Answer:_______________ |
| 6) 3 times a number decreased by 9 gives 30. Find the number.
Answer:_______________ |
| 7) 5 times a number decreased by 5 gives 40. Find the number.
Answer:_______________ |
| 8) 4 times a number decreased by 4 gives 56. Find the number.
Answer:_______________ |
| 9) 6 times a number decreased by 6 gives 48. Find the number.
Answer:_______________ |
| 10) 2 times a number decreased by 10 gives 24. Find the number.
Answer:_______________ |
| 1) 3 times a number decreased by 3 gives 21. Find the number. Answer: 8 SOLUTION 1 : Let the required number be y. ⇒ 3 times = 3y Given: 3y - 3 = 21 ⇒ 3y = 21 + 3 ( on transposing - 3 becomes + 3 ) ⇒ 3y = 24 = ( Dividing by 3, both the sides ) y = 8. Hence, the required number is 8.
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| 2) 5 times a number decreased by 10 gives 35. Find the number. Answer: 9 SOLUTION 1 : Let the required number be x. ⇒ 5 times = 5x Given: 5x - 10 = 35 ⇒ 5x = 35 + 10 ( on transposing - 10 becomes + 10 ) ⇒ 5x = 45 = ( Dividing by 5, both the sides ) x = 9. Hence, the required number is 9.
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| 3) 4 times a number decreased by 8 gives 48. Find the number. Answer: 14 SOLUTION 1 : Let the required number be x. ⇒ 4 times = 4x Given: 4x - 8 = 48 ⇒ 4x = 48 + 8 ( on transposing - 8 becomes + 8 ) ⇒ 4x = 56 = ( Dividing by 4, both the sides ) x = 14. Hence, the required number is .
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| 4) 6 times a number decreased by 6 gives 42. Find the number. Answer: 8 SOLUTION 1 : Let the required number be y. ⇒ 6 times = 6y Given: 6y - 6 = 42 ⇒ 6y = 42 + 6 ( on transposing - 6 becomes + 6 ) ⇒ 6y = 48 = ( Dividing by 6, both the sides ) y = 8. Hence, the required number is 8.
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| 5) 2 times a number decreased by 4 gives 22. Find the number. Answer: 13 SOLUTION 1 : Let the required number be x. ⇒ 2 times = 2x Given: 2x - 4 = 22 ⇒ 2x = 22 + 4 ( on transposing - 4 becomes + 4 ) ⇒ 2x = 26 = ( Dividing by 2, both the sides ) x = 13. Hence, the required number is 13.
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| 6) 3 times a number decreased by 9 gives 30. Find the number. Answer: 13 SOLUTION 1 : Let the required number be y. ⇒ 3 times = 3y Given: 3y - 9 = 30 ⇒ 3y = 30 + 9 ( on transposing - 9 becomes + 9 ) ⇒ 3y = 39 = ( Dividing by 3, both the sides ) y = 13. Hence, the required number is 13.
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| 7) 5 times a number decreased by 5 gives 40. Find the number. Answer: 9 SOLUTION 1 : Let the required number be x. ⇒ 5 times = 5x Given: 5x - 5 = 40 ⇒ 5x = 40 + 5 ( on transposing - 5 becomes + 5 ) ⇒ 5x = 45 = ( Dividing by 5, both the sides ) x = 9. Hence, the required number is 9.
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| 8) 4 times a number decreased by 4 gives 56. Find the number. Answer: 15 SOLUTION 1 : Let the required number be x. ⇒ 4 times = 4x Given: 4x - 4 = 56 ⇒ 4x = 56 + 4 ( on transposing - 4 becomes + 4 ) ⇒ 4x = 60 = ( Dividing by 4, both the sides ) x = 15. Hence, the required number is .
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| 9) 6 times a number decreased by 6 gives 48. Find the number. Answer: 9 SOLUTION 1 : Let the required number be y. ⇒ 6 times = 6y Given: 6y - 6 = 48 ⇒ 6y = 48 + 6 ( on transposing - 6 becomes + 6 ) ⇒ 6y = 54 = ( Dividing by 6, both the sides ) y = 9. Hence, the required number is 9.
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| 10) 2 times a number decreased by 10 gives 24. Find the number. Answer: 17 SOLUTION 1 : Let the required number be y. ⇒ 2 times = 2y Given: 2y - 10 = 24 ⇒ 2y = 24 + 10 ( on transposing - 10 becomes + 10 ) ⇒ 2y = 34 = ( Dividing by 2, both the sides ) y = 17. Hence, the required number is 17.
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