Mathematics Worksheet (2nd Term Syllabus) Class 7-8th

This is the second worksheet I made for my class. It contains questions from the 2nd Term Syllabus 2013 according to BSR. So either print or write it down on a piece of paper to solve. If you have any queries, post a comment!

Worksheet No. 2

WORD PROBLEMS AND MORE FROM WHOLE 2^nd TERM

SOLVING SIMULTANEOUS EQUATIONS USING GRAPHS:

Q1: Complete the table and draw the graph:

a)       y = 3x

x	0	1	2	3	4
y = 3x

b)       3y = 5x + 3

x	0	1	2	3	4
3y = 5x + 3

Q2: Each of the following sets of points lies on a line. Write down the equation of the line.

a)       (2,2), (-1,2), (-3,2), (0,2)

b)       (-2, - 1 ), (-2, - 1 ), (-2, - 1 ), (-2, - 1 ),

         3              3             3             3

Q3: Write the co-ordinates of 4 points of the following line: y = - 16

Q4: State the gradient and constant of each line:

a)       2y = 3x – 7

b)       7x = 8 – 2y

Q5: Solve the following simultaneous equation using graphical method: 3x – 4y = 25

                                                                                                                                  4x – 5y = 32

QUADRATIC EQUATIONS (CURVES IN GRAPHS):

Q6: Make the graphs for the following equations where    -4   ≤   x    ≤4.  Also state the minimum/maximum point and the line of symmetry:

a)       y = x² + 4

b)       y =3x – 2x²

PERCENTAGES WORD PROBLEMS:

Q7: During the economic downturn, a company retrenched 300 out of its 1200 employees. What percentage of employees were retrenched?

Q8: Calculate the following:

a)       125% of 50 cm

b)       30.6% of $300

Q9: The value of a PS3 decreases  each year by 20%. If the price of a PS3 today is Rs 30 000, calculate the price after 3 years.

Q10: An election quiz is marked out of 60. Zardari obtained 43 marks, Nawaz Sharif got 46 marks and Imran Khan obtained 49 marks. The Election Commission decides that those who score 80% and above will become President, while those who score70% - 79% will become Ministers. What ranks do each candidate get?

Q11: Nana sold her tea at 65 rupees per gram in 2006, which was 25% more than what it was in 2004. What was the price of tea in 2004?

Q12: A man’s salary is $1850 per month. Out of this, 20% goes to his rent, $690 goes to food and $940 on other expenses. What percentage has he over spent?

Q13: After spending 128% of his income, a man has to borrow $756 from his friend to make up the difference. Find his income.

Q14: The result of a number, when decreased by 15%, is 161. Find this number.

Q15: James is 8% taller than John, and Wilson is 10% shorter than John. By what percentage is James taller than Wilson?

 

DISCOUNT:

Q16: Find the unknowns (?):

a)       M.P. = $100          S.P. = $88              %D =?

b)       %D = 7%                D = $49                  M.P. = ?

c)        %D = 12%              S.P. = $77              M.P. = ?

Q17: A tour guide earns 3% commission of the total sales by bringing tourist to patronize a certain gift shop. Calculate his commission on a particular day when the 12 tourists he brought to the shop spent an average of $250 each.

Q18: Ali’s monthly income consists of 500 rupees permanent plus a commission of 4% on all his sales. Find his total sales for a particular month if his total income was 1220 rupees that month.

Q19: Three salesmen went to 400 households to sell microwaves costing $60 each. 15% of the households bought a rice cooker from each of them. If the three salesmen sold the rice cookers in the ratio 3:4:5, find the commission each salesman received if the commission is 4% of the total sales.

INTEREST:

Q20: Find the unknowns:

a)       P = $12 000                          R = 8%                    T = 7 years                             I = ?                         A = ?

b)       P = $500                                R = 11%                  T = ?                        I = $220                 A = ?

Q21: Andrew lent Roger $4800 for 7 months. At the end of this period, Roger had to pay Andrew an interest of $119. What was the rate of simple interest per annum?

Q22: Mr. Chang deposits a certain amount of money in a bank. If the interest rate of the bank decreases from 3 % per annum to 2.5 % per annum, Mr. Chang’s interest will decrease by $50 in a year. Find the principal amount of the money he deposits.

PYTHAGORAS THEOREM WORD PROBLEMS:

Q24: A 5m long ladder is placed against a wall with its foot 1.8 m from the wall. Find how far up the wall the ladder reaches.

Q25: The lengths of the sides of a triangle are x cm, (x +1) cm and (x + 2) cm. Determine x so that this triangle is a right-angled triangle.