1. Construct a quadrilateral ABCD in which AB = 4.4 cm, BC = 4 cm, CD = 6.4 cm, DA = 3.8 cm and BD = 6.6 cm
2. Construct a rhombus with side 6 cm and one diagonal 8 cm. Measure the other diagonal. 3. Construct a quadrilateral PQRS in which QR = 4cm, RP = 5.6 cm, PS = 4.5 cm, RS = 5cm and QS = 6.5 cm 4. Construct a quadrilateral PQRS where PQ = 3.5 cm, QR = 6.5 cm, < P = < R = 105= and < S = 75 deg. 5.Construct a rectangle WXYZ in which WX = 7cm and XY = 4cm. 6. Construct a rhombus ABCD where AB = 4cm and AC = 6cm. 7. Construct a square ABCD where AB = 6cm. 8. Construct a parallelogram PQRS in which PQ = 4.5 cm, QR = 5.1cm and <Q=70 9.Construct a square of diagonal 6 cm long. 10 Construct a parallelogram ABCD in which AC = 3.8 cm, BD = 4.6 cm and the angle between AC and BD is 60 11. Construct a parallelogram ABCD in which AB=6.5 AC=3.8 and the altitude AL from A is 2.5cm draw an altitude from C For further study visit: Ch:Practical Geometry
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Compound Interest CBSE Maths Test Paper
1. Find compound interest on Rs. 8000 at 15% per annum for 2 years 4 months, compounded annually. Ans: Rs. 3109. 2. Find the compound interest on Rs. 10,000 in 2 years at 4% per annum, the interest being compounded half-yearly. Ans: Rs. 824.32. 3. In what time will Rs. 1000 become Rs. 1331 at 10% per annum compounded annually? Ans: 3 years. 4. If Rs. 600 amounts to Rs. 683.20 in two years compounded annually, find the rate of interest per annum. Ans: 8% p.a. 5. The difference between the compound interest and simple interest on a certain sum at 10% per annum for 2 years is Rs. 631. Find the sum. Ans: Rs.63, 100. 6. The difference between the compound interest and the simple interest accrued on an amount of Rs. 18,000 in 2 years was Rs. 405. What was the rate of interest per annum? Ans: 15% 7.Divide Rs. 1301 between A and B, so that the amount of A after 7 years is equal to the amount of B after 9 years, the interest being compounded at 4% per annum. Ans: Rs.676 and Rs.625 8. A sum of money amounts to rs.6690 after 3 years and to rs.10, 035 after 6 years on compound interest. Find the sum Ans: Rs.4460. 9. A sum of money doubles itself at compound interest in 15 years. In how many years will it become eight times? Ans: 45 years. 10. Amit took a loan of Rs.390625 from HDFC Finance. If the company charges interest at 16% per annum, compounded quarterly, what amount will discharge his debt after one year? Ans: . Rs 45697 11. At what rate percentage per annum will a sum of rupees 4000 yield compound interest of rupees 410 in 2 years. Ans: 5% 12. The compound Interest on a certain sum of money for 2 years is Rs 820 and the SI on the same sum for the same period is Rs 800 .find the sum and the rate of interest .Ans 5% 13. The value of a machine depreciates at 12.5% per annum. it was purchased 3 yrs ago. If its present value is Rs.13720, Find the original value of machine. Ans: Rs.20480 14. The C.I. on a certain sum for 2 years is Rs.410 and S.I. is Rs.400. Find the rate of interest per annum? Ans: 5% 15. Work sheet: Subject – Maths, Class – VIII- Chapter: Direct and Inverse Variation 1. 68 boxes of contain commodity require a shelf- length of 13.6 m. How many boxes of the same commodity would occupy a shelf- length of 20.4m? 2. 11 men can dig 6 m long trench in one day. How many men should be employed for digging 27m long trench of the same type in one day? 3. 120 men had food provisions for 200 days. After 5 days, 30 men die due to an epidemic. How long will the remaining food last? 4. A car can finish a certain journey in 10 hours at the speed of 48km/hr. By how much should its speed be increased so that it may take only 8 hours to cover the same distance? 5. In a hostel of 50 girls, there are food provisions for 40 days. If 30 more girls join the hostel, how long will these provisions last? 6. A worker is paid Rs.210 for 6 days work. If his total income of the month is Rs. 875, for how many did he work? 7. A train 400m long is running at a speed of 72km/hr. How much time does it take to cross a telegraph post? 8. A train 360m long is running at a speed of 45 km/hr. What time will it take to cross a 140m long bridge? 9.A train 210m long took 12 seconds to pass a 90 m long tunnel. Find the speed of the train. 10. If 5men or 7women can earn Rs875per day, how much would 10men and 5women earn per day. 11. Q2. The cost of 16packets of salt, each weighing 900g, is Rs84. Find the cost of 27packets of salt, each weighing 1kg. 11. If 3persons can weave 168shawls in 14days, how many shawls will be woven by 8persons in 5days? 12. If the cost of transporting 160kgof goods for 125kmis Rs60. What will be the cost of transporting 200kg of goods for 400km? 13. 6oxen or 8cows can graze a field in 28days. How long would 9oxen and 2cows take to graze the same field? 14. 6 men working 8 hours a day, earn Rs 8400per week. What will be the earning per week of 9men who work for 6hoursa day? 15. A fort had provision for 300men for 90days. After 20days, 50men left the fort. How long would the food last at the same rate? 8th Direct _In direct variation with solved 2018-1
Download File Work sheet: Subject – Maths, Class – VIII- Chapter: Probability
1. If a dice is thrown. What is the probability of getting: (i) an odd number (ii) a multiple of 3 (iii) a perfect square numbers (iv) a number less than 4? 2. Three unbiased coins are tossed together. Find the probability of getting: (i) all heads (ii) two heads (iii) one head (iv)At least two head [ hint : Possible outcomes are HHH, HHT, HTH, HTT, THH, THT, TTH and TTT Ans: 1/8 , 3/8 , 3/8,1/2(HHH, HHT, HTH and THH)] 3. Find the probability that a leap year selected at random will contain 53 Sundays. [2/7] 4. One card is drawn from a pack of 52 cards, each of the 52 cards being equally likely to be drawn. Find the probability that the card drawn is : (i) an ace (ii) either red or king (iii) a face card (iv) a red face card) [Ans: 1/13, 7/13, 3/13,3/26] 5. Two dice are thrown simultaneously. Find the probability of getting: (i) a doublet i.e. same number on both dice. (ii) The sum as a prime number. [n=6 1/6,5/12] 6. If a die is thrown once, what is the probability of getting a prime number? 7. A coin is tossed 200times and tail is obtained 128 times. Now, if a coin is tossed at random, what is the probability of getting a tail? 8. In 100 throws of a dice, 5 is obtained 42 times. In a random throw, what is the probability of getting a 5? 9. A bag has 6 red balls and 8green balls. A ball is drawn from a bag without looking in to the bag. What is the probability of getting a green ball? 10. What is the probability of occurrence of an event?
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