Mathematics Worksheets (1st Term Syllabus) Class 7-8th

This is the first worksheet I uploaded for my Class 8D of BSR in May 2013. It contains questions on all the 1st Term. Please comment and ask questions!








Worksheet No. 1:

WORD PROBLEMS AND MORE FROM WHOLE 1^ST TERM

DIRECT PROPORTION:

Q1 a) In a bookstore, 40 books of the same kind occupy 4 m of shelf length. How much shelf length will 240 books occupy?

     b)  If a shelf is 150 cm long, how many such books will be needed to completely fill the shelf?

Q2: Find the cost of

a)       9 books of the same kind when 2 books cost $24

b)       17 kg of rice when 7 kg costs $3.5

Q3: A shop owner blends  three types of coffee, A, B and C in the ratio 6:4:7. If the mass of coffee C in the mixture is 28 kg, find the DIFFERENCE between the masses of the other two types of coffee.

 

INVERSE PROPORTION:

Q4: Four pipes can fill a tank in 70 minutes. How long will it take to fill the tank if 7 pipes are used?

Q5: It takes 12 men to make 12 tables in 9 hours. How long will it take 8 men to make 32 tables?

ALGEBRAIC IDENTITIES:

Q6: EXPAND the following:

a)       (5x-3)²

b)       (4 + 3t)²

c)        (2x – 5)(2x +5)

d)       (x² + y)(x² – y)

Q7: Given that

                a + b = 10 and a² – b² = 40, find the value of a – b.

Q8: Use algebraic identities to solve the following:

a)       92 x 108

b)       901²

c)        78² – 312 +4

FACTORIZATION:

Q9: FACTORIZE the following:

a)       10x³ + 20xy – 35xz

b)       x + xy + 2y + 2y²

c)        8x + 4

Q10: FACTORIZE the following: (use algebraic identities)

a)       x² + 8x + 16

b)       2x² – 4x + 2

c)        k² – 144

d)       x² – 16y²

MID-TERM BREAK

Q11: FACTORIZE the following:

a)       m² – 9m + 20

b)       6p² – 7p – 20

c)        35x² + 55x – 30

SOLVING QUADRATIC EQUATIONS USING FACTORIZATION:

Q12: Solve the following equations: (You will always get TWO answers in quadratic equations)

a)       x(x – 8) = 0

b)       (x + 2)(x – 3) = 0

c)        x² – 8x = 0

d)       b² - 3² = 0

e)       y² – 16 = 0

Q13: If x = 3 is one solution of the equation x² + kx + 15 = 0, find the value of k. Hence find the other solution of the equation.

SOLVING SIMULTANEOUS EQUATIONS USING ELIMINATION AND SUBSTITUTION METHOD:

Q14: Solve the following simultaneous equations:

a)       x + y = 3

3x - y = 5

b)       11x + 4y = 12

9x + 4y = 8

c)        9x – 5y = 2

3x – 4y = 10

d)       13 + 2y = 9x

3y = 7x

 

Q15: Use the substitution method to solve the following:

a)       x + y = 7

x – y = 5

b)       2x + 5y = 12

4x + 3y = – 4

WORD PROBLEMS OF SIMULTANEOUS EQUATIONS:

Q16: Find two numbers whose sum is 138 and whose difference is 88.

Q17: Six stools and four chairs cost $58 but five stools and 2 chairs cost $35. Find the cost of each stool and each chair.