Please, fill out the information below to continue. NAME EMAIL PHONE NUMBER 1. Two walls and the ceiling of a room meet at right angles at point P. A fly is in the air, 1 meter from one wall, 8 meters from the other wall and 9 meters from the point P. How many meters is the fly from the ceiling? 15 14 4 2 2. There is a vast grassy farm in which there is a rectangular building of the farmhouse whose length and breadth is 50 m and 40 m respectively. A horse is tethered at a corner of the house with a tether of 80 m long. What is the maximum area that the horse can graze? 5245π 245π 254π 5425π 3. The weights to the nearest kg of a group of students are recorded in the following tableCalculate the mean weight 43 52.6 32.7 23.4 4. A university undergraduate has to take 5 courses from a pool of 4 Mathematics and 3 Physics courses.In how many ways can she select her courses so that she takes at least two courses in Physics? 18 6 72 12 5. The table below shows the frequency distribution of a number of pets in 25 houses Find the mean of the distribution 3.25 3.36 3.12 4.15 6. The sides /AB/ and /AC/ of a triangle ABC are produced to D and E respectively such that <DBC = 125° and <BCE = 95°. Find the value of <BAC 40 degrees 55 degrees 90 degrees 85 degrees 7. Tara received a cash gift from her parents on her 10th birthday. On each succeeding birthday, she received twice the amount received in the previous year. If she had received a total of £31,500 by the time she was 15, the cash gift for her 12th birthday was £3,000 £2,000 £5,000 £4,000 £1,000 8. Simplify the expression can be simplified to sinθ/(1-cosθ) (1+cosθ)/ sinθ 1-sinθ cosθ 9. The quantity x varies inversely as y, and y varies directly as the square of z. If z is halved, then the value of x is tripled halved reduced by a factor of 4 quadrupled doubled 10. A card is drawn from an ordinary pack of 52 playing cards. Find the probability that it is neither a seven nor a Diamond 9/13 4/13 3/52 1/52 11. Evaluate: -2 2 1 -1 12. The table below shows the marks obtained by 8 students taking English and PhysicsThe standard deviation for Physics is 12 19.8 21 24 13. Given that the quadratic expression 3m² - 7m + K is a perfect square, the value of K is 49/12 49/24 49/4 49/36 14. Determine the order of the matrix(4 5 5 3) 3x1 2x4 1x4 4x1 15. A sum of money invested at a simple interest rate 'Z' increases to 5/3 times the original sum after 5 years. What is the value of 'Z'? 9.0% 10.5% 14.5% 6.0% 13.3% 16. Simplify : 2-3 x 163/4 x 20 1 2 1/2 0 17. If (2x - 3)/2x(2x + 1) = P/(2x + 1) + Q/2x. What are the values of P & Q respectively? 3, 4 2, 3 2, -3 0, -3 4, -3 18. In the diagram below , WXYZ is a cyclic quadrilateral in which WZ = 6cm, ZY = 8.5cm and the diagonal WY = 10 cm. If XW = XY, calculate <XYW 18° 78° 43° 53° 19. Simplify : 3a 3a³ 3a-² 3a² 20. Find the mean and mean deviation, respectively of the following -3, -5, -7, 2, 5, 0, 4, 6 0.35, 3 0.25, 4 1.72, 1.12 4, 0.35 1 out of 20 Time is Up! Time's up