Mathematics Example Test Answers 1) 2) 3) Find X Find X Find X 2π + 5 = 27 β26 = 6π + 10 βπ β 1 = 239 + 2π X= X= X = -80 11 4) -6 5) Find X Find X 2(6 + 9π) = 102 3π X =5 X= 2 = 20 4 10/3 or 3 1/3 6) 7) Solve (give the answer as a fraction) Solve (give the answer as a fraction) 1 2 = + 8) 1 2 3 4 5/6 = 9) β 3 Solve: (4a + 5b)(8a β 7b) 7 6/28 (3/14) = 32a2 + 12ab -35b2 10) Solve Solve 24 + 53 3 + 5(8+2(-3)) = 141 = 13 Page 1 av 4 Mathematics Example Test Answers 11) Calculate the surface area and the circumference of the circle. (Use Ο=3.) 7 cm a) Surface area: between 147vm2and 153,9cm2 b) Circumference: between 42cm and 44cm 12) Calculate the surface area and circumference of the rectangle. Give the answer in cm2 and circumference in cm. 15 cm a) Surface area: 0,12cm2 b) Circumference: 190cm 80 cm 13) Calculate the surface area and circumference of the triangle. a) Surface area: 24m2 b) Circumference: 26,4m 4m 6m 6m Page 2 av 4 Mathematics Example Test Answers 14) Pytagoras Theorem states that Hypotenuse2 = Leg A2 + Leg B2. Find the length of «x» in the right-angled triangle below. (If you donβt have a calculator available, find an approximate value) C X 101 0,4 4 cm A B 8 cm Answer: 8,94 cm 15) You are travelling with a train from Sandefjord at 06:35. 25 minutes after stepping out of the train in Drammen, you look at your watch again. It then shows 07:50. For how long time were you travelling by train? You were on the train for _00 : 50 . (HH:MM) 16) Further on, you travel by bus to Asker. The bus used 90 minutes on a distance of 60km. What is the average speed? Answer: 40 km/h . 17) 1 nautical mile equals 1852 meters. How many km will 20 nautical miles be? Answer: 37 km . 18) 6 cm on a map equals 12 kilometers on the earth. You want to draw a line on that map which represents a distance of 60 kilometers. a) How many centimeters will the line on the map be? Answer: 30 ___ b) What is the scale of the map? Answer: 1:200 000 ___ Page 3 av 4 Mathematics Example Test Answers 19) a) If angle a is 50o, angle b is 130o? b) If angle g is 15o, angle c is 15o? c) If angle d is 110o, angle g is 700? d) If angle f is 100o, angle a is 800? Page 4 av 4 Logic Example Test Answers 1) The day before the day before yesterday is three days after Sunday. What day is it today? A) B) C) D) E) F) G) Monday Tuesday Wednesday Thursday Friday Saturday Sunday Answer: _G___ 2) Which vowel comes midway between P and X? a. A b. E c. I d. O e. U Answer: __U__ 3) Which of the following diagrams is the odd one out? Answer: __D___ 4) Fill in the missing number. 0, 1, 1, 2, 3, 5, 8, 13, ?, 34, 55 Answer: _21 Logic Example Test Answers 5) Which diagram results from folding the diagram on the left? Answer: _A___ 6) Which number should come next in this series? 25,24,22,19,15,__ A) B) C) D) 4 5 10 14 Answer: _C_ 7) If you count from 1 to 100, how many 6´s will you pass on the way? a. 10 b. 11 c. 19 d. 20 e. 21 Answer: _D__ 8) If two typists can type two pages in two minutes, how many typists will it take to type 24 pages in six minutes? a. b. c. d. e. Answer: C 4 6 8 12 36 Logic Example Test Answers 9) Mark, John and Peter have Porsches. Peter also has a Reliant Robin. Steve has a Mercedes and a Model T. Erik also has a Mercedes. John also has a Bugatti Veyron. Erik has just bought a Toyota Prius. Who has the fewest cars? Answer__Mark____ 10) Wayne is double the age of Fernando and one third as old as Didier who will be 54 years old in 6 years. How old is Fernando? Answer: _8_
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