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Maths Summer Holiday Homework

Subject: Maths

Instruction: Do this work in your classwork copy.


1. Write five rational numbers between 0 and 1.


2. Find five numbers between 1/2 and 1/4.


3. Solve the equations and check the results:

★ 3x = 2x + 18

★ x = 4/5 (x + 10)

★ 8x + 4 = 3(x - 1) + 1

★ 3m = (5m - 8) / 5


4. Solve:

★ 6x + 1/3 + 1 = x - 3/6

★ n/2 - 3n/4 + 5n/6 = 21


5. Write squares of numbers from 10 to 30.


6. Find the square without actual multiplication for 39 and 42.


7. Find the square root by long division method of:

3136, 7921, 5776, and 3241.


8. Find the length of the side of the square whose area is 44 m².


9. In right-angled triangle ABC, ∠B = 90°:

★ If AB = 6 cm, BC = 8 cm, find AC.

★ If AC = 13 cm, BC = 5 cm, find AB.


10. Write the cube of numbers from 1 to 20.


11. Multiply:

★ (x - 4) and (2x + 3)

★ (x - y) and (3x + 5y)

★ (a + 7) and (b - 5)

★ (a² + 2b²) and (5a - 3b)


12. Multiply:

★ (a + 7)(2a² + 3a + 4)


13. Simplify:

★ (a + b)(2a - 3b + c) - (2a - 3b)c

★ (x² - 5)(x + 5) + 25

★ (t + 5)²(t² - 5)

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