Pre_Assesment_Test_Geometry

Diagnostic Assessment © 2006 1 -2008 tutorco.com Tick the correct option: Options Topic # Question a) b) c) d) 1 The curved surface area of cone is 4070 cm2 & its diameter is 70 cm. Find its height (use 7 22 = ) 12 cm 14 cm 37 cm 36 cm 2 How many feet per second are equivalent to 90 miles per hour? 120 feet/sec 130 feet/sec 132 feet/sec 142 Geometry & feet/sec Measurement 3 Scale of map is 1 cm: 18 km. Find actual distance for 2.5 cm. 2.5 km 4.5 km 45 cm 1 km Diagnostic Assessment © 2006 2 -2008 tutorco.com Options Topic # Question a) b) c) d) 4 Find area of right triangle whose base is 2.5 cm & height is 3.8 cm round off your answer up to nearest tenth. 5 cm2 4.8 cm2 6 cm2 4 cm2 5 Combine two pairs of statement using “if and only if” p : If rectangle is square then all its four sides are equal q : If all four sides of rectangle are equal then it’s a square A rectangl e is square If all four sides of rectangle are equal then it’s a square A rectangl e is a square if all four sides are equal Rectangle is a square if and only if all its four sides are Geometry & equal Measurement 6 Find measurement of y in following figure when p q & ‘t’ is Transversal t 60° p q 40° 60° 120° 50° Diagnostic Assessment © 2006 3 -2008 tutorco.com Options Topic # Question a) b) c) d) 7 In given figure, PQ RS,PAB = 70° &ACS = 100° find BAC P Q R B C 80° 50° 40° 30° 8 Find length of AC of AB = 3 cm in ABC 3 cm 2 cm 4 cm 1 cm 9 How far up a wall will an 11 m ladder reach if foot of ladder must be 4 m from base of wall? 10 m 10.2 m 10.5 m 11 m Geometry & Measurement 10 Find 3 tan or tan 60° using given PQR. 2 1 3 3 1 Not defined S A 70° 45° 45° C A B 11 m 4 m P Q R 2 3 1 6 3 100°Diagnostic Assessment © 2006 4 -2008 tutorco.com Options Topic # Question a) b) c) d) 11 A rectangle that is 20 cm long and 25 cm wide is similar to another rectangle which is 25 cm long & z cm wide find z. 31 cm 31.25 cm 40 cm 30 cm 12 Find the value of x in parallelogram ABCD . 130° 120° 60° 70° Geometry & measuremen t 13 Find area of kite if AC=22 cm and BD = 16 cm C D B A 166cm2 176 cm2 352 cm2 88 cm2 14 Find x in the following figure. 60° 120° 130° 150° D A B C 120° 60° X S X 120° R P QDiagnostic Assessment © 2006 5 -2008 tutorco.com Options Topic # Question a) b) c) d) 15 If Cos = 4/5 find tan . 4/5 3/5 3/4 4/3 16 Find length of side AB of ABC using law of sines (GivenA = 49°,C = 70° and AC = 20 m) A C B 20 m 23 m 22 m 21.5 m Geometry & Measurement 17 Use calculator or trigonometric table to find sin 63.5° 0.8949 0.4 1.3 0.75 Diagnostic Assessment © 2006 6 -2008 tutorco.com Options Topic # Question a) b) c) d) 18Find slope of a straight line that passes through (-5,2) & (4, -7) 1 1/9 -1 2 19Write the coordinates of center of circle from following equation: ( 1) 1 y 2 + x − 2 = (1,0) (-1,0) (0,1) (0,0) 20How is triangle rotated in following figure 90° in clockwise90° in anticloc kwise 180° in clockwise 180° in anticlock wise Geometry & Measurement 21Find the value of c in following figure 17 14 13 7 A C B A’ C’ B’ 5 c 12