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1. The sum of three consecutive multiples of 4 is 444. Find these multiples.

2. The denominator of a rational number is greater than its numerator by 3. If the numerator is increased by 7 and the denominator is decreased by 1, the new number becomes 3/2. Find the original number.

3. The sum of the digits of a two digit number is 7. If the number formed by reversing the digits is less than the original number by 27, find the original number.

4.  A motorboat goes downstream in river and covers a distance between two coastal towns in 5 hours. It covers this distance upstream in 6 hours. If the speed of the stream is 3 km/hr, find the speed of the boat in still water.

5. Divide 28 into two parts in such a way that 6/5 of one part is equal to 2/3 of the other.

6. A total of $10000 is distributed among 150 persons as gift. A gift is either of $50 or $100. Find the number of gifts of each type.

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1. a . Express -30/-42 with denominator 7

b. Write -7/5 with Numerator 49

HOTS Question [ Extended]

c. If we have a circular rod and we have to put it diagonally into a rectangular shoe box with 5 cm length and 4 cm breadth so what is the length of the rod ?

2. Arrange the following in Descending order :

3/10, -4/15 , -11/20 , 19/30

3. a . Simplify : 6/19 + (-3/57)-(-12/38)

b. Subtract 5/12 from 13/20

4.  i) -5/16 x  A =  4/18. A= _______________

ii)  Simplify : 6/7 ÷ 7/9

5. a . Solve : 5x+2 = 3x + 12

b. 2x+4 = 5x-7

6. Solve : (x+2) / 5 - (x-1) / 2  = (3x-9) / 2

7. Solve : (x+1)/4 = (2x-1)/4 – 1 / 2

8. Solve : 0.3(6+t) = 0.4(8-t)

9. Solve : 300 -2(x+22) – 2x = 20

10.The sum of 3 consecutive natural numbers is 15. Find the numbers.

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Performance Rubric

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Rubric on My reflection on my performance

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syllabus : Rational numbers
Linear equations with 1 variable ( no word problems

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An important dictum of learning is that theoretical learning must always be supplemented by practical learning. This ensures proper understanding and comprehension besides better retention. It eliminates the phobia and makes learning fun. With this in mind the concept of activities in mathematics was introduced. This series of books caters to the above requirement.