IGCSE GENERAL REVISION TEST 1 ( ON NUMBERS)

GEO MATHS CENTRE KOTTAYAM, INDIA IGCSE FORM 4 MATHS TEST TIME 1 ½ h Tel: 0091 04812790195 Mobile:9497819889 e-mail: gntsgeorge@yahoo.co.in skype id : georgeignatius9[1] write each of the following numbers in standard form.(a) 2340000 (b) 0.00037[2] A motor cycle covers a certain distance at a speed of 18 km/h. Express this speed in m/s[3] The two smaller sides of a right triangle are cm and cm. Find the length of the hypotenuse of the right triangle and write the answer in surd form.[4] Round off the following numbers as required .(a) 12656 to the nearest thousand(b) 0.1472 to the nearest hundredth.[5] Estimate 21214 x 195 correct to one significant figures.[6] Write as a fraction.[7]Find the cube root of 1728[8] Given . Find the value of n.[9] If 3 : 4 = x : 28 , find the number x[10] Jane is x years old. Her twin brothers Peter and paul are 3 years older than Jane. Find in terns of x , the sum of the ages of the three children[11] A motor cycle covers 70 km in 2h 20 min. Calculate his average speed in km/h[12]A dealer bought a car for $40000 and sold it at $45000. Calculate the percentage profit he made on this deal. At what price he should have sold the car to make 15 % profit ?[13] A sum of money is divided in the ratio 2 : 3 : 7. Given that the largest is $ 112, calculate the smallest share.[14] Lilly’s monthly salary is $ 2400 per month. If $90 is deducted every month from salary, calculate the percentage at which the tax is being cut from her salary.[15]Evaluate:[16]Jerome deposits $ 400000 in a bank which compounds interest (Compound interest) at the end of every 6 months. The bank’s annual interest rate is 8 %. Calculate the total amount he may get if he withdraws his account after one year.[17] Rationalise the denominator of [18] A car travels from town A to town B at a speed of 80 km/h and then he returns to A at a speed of 100 km/h. Calculate the average speed for the entire journey.[19] Arrange the following numbers in ascending order [20] Evaluate : DIRECTIVES TO STUDENTSThis test covers Unit 1 of the Cambridge IGCSE examination syllabus. This is downloaded from the Cambridge University web siteYou will get many questions from this unit in your final examination, next year.Find a quiet place at your home and attempt all these questions as if you are writing your final examination. It could be done when you are free during the week end.The answers/hints for all test questions will reach your inbox within three days via WIZIQYou are also advised to register with WIZIQ .com which is an Education Websitein India. At times, I will use this website to see you online. It would have been also good if you have a Broadband connection, mic and headset ( Optional)File all these tests in a separate file so that you can revise them periodically . IGCSE MATHS SYLLABUSUNIT 1 HCF, LCM, POWERS, ROOTS, RATIO, PROPORTION, PERCENTAGES, STANDARD FORM OF NUMBERS, ESTIMATION , RULES OF INDICES, SPEED , DISTANCE , TIME,NUMBERS:1.3 HCF and LCM1.4 calculation of powers and roots1.5 Ratio and propotion1.7 Interconversion between decimals, fractions, raios and percentages1.8 Percentages including application such as interest and profit. Include compound interest1.9 Meaning of exponents(Powers,indicees) 1.10 Standard form a x 10n where 1a<10 and nZ. Rules of exponents. 1.11 Estimating, rounding, decimal places and significant figures1.12 Calculations involving time, seconds, minutes hours , days , tears including the relationship between consecutive units1.13 speed, distance, time problemsEXAMPLES Eg. Wrie 6 ¼ % as a fraction in its lowest form g : write 0.00000000000011 in standard formEg: estimate 99.237 x 0.1201 correct tto two significant figureEg. Time of arrival of a plane and so on.Application of speed formula s = d/t GEO MATHS CENTRE KOTTAYAM, INDIA IGCSE FORM 4 MATHS TEST TIME 1 ½ h Tel: 0091 04812790195 Mobile:9497819889 e-mail: gntsgeorge@yahoo.co.in skype id : georgeignatius9MATHS TEST / UNIT 1 / NUMBERSAnswers[1] (a) 2.34 x 106 (b) 3.7 x 10-4[2] 18 km/h = = 5 m/s[3] (hypotenuse)2= = [4] (a) 13000 (b) 0.15[5] = 21000 x 200 ( to two significant digits = 42000 = 40000[6] [7] cube root can be obtained by continued factorisation, Answer: 12[8] n = -6[9] x = 21[10] 3(x + 2) years[11] 30 km / h[12] 1 2.5 % ; 46000[13] 32 dollars[14] 3. 75 %[15] 3 x 104[16] 10816[17) [18] 88 km/h [19] 0.5699 , , 3/5[20]