Please, fill out the information below to continue. NAME EMAIL PHONE NUMBER 1. ABC is a right triangle. AM is perpendicular to BC. The size of angle ABC is equal to 55 degrees. Find the size of angle MAC. 75° 106° 55° 65° 2. Find, from the first principles, the derivative with respect to x of the function y = 2x² - x + 3 4x - 1 4x - 4 4x 4x - 2 3. The matrices A and B are given by: A =and B =where a ≠ 0, b ≠ 0If BA =kA, where k is a scalar, Find another equation satisfied by a and b a + 3b = 0 3a + kb =1 2a + 5b = 3 2a + (1 - k)b = 0 4. A sum of N420 is shared among three children in the ratio 6 : 7 : 8. The largest share is N120 N140 N160 N180 5. In a trapezium PQRS, PQ//SR, |PQ| = 5 cm, |SR| = 7 cm and the trapezium has an area of 24 cm². The area of the triangle PQS is 16 cm² 10 cm² 12 cm² 14 cm² 6. The number 83ten, converted to base seven is 146 base 7 61 base 7 641 base 7 16 base 7 7. Solve for a :27a/2 = 33/4 x 9-1/4 1/6 6 3 1/3 8. Find the sum to infinity of the series 1 + 7/10 + (7/10)² + (7/10)³ + ... 5 7 10/3 27/10 9. If U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} X = {1, 2, 4, 6, 7, 8, 9} Y = {1, 2, 3, 4, 7, 9} Z = {2, 3, 4, 7, 9}What is X∩Y∩Z? {1, 1, 2, 5, 2, 5, 7} {} {1} {1, 2, 5, 7} 10. A school registers 300 candidates for an examination. 180 of the candidates offer Economics and 70 offer Geography. 80 candidates offer neither Economics nor Geography.The number of candidates offering at least one of Economics or Geography is 200 230 250 220 11. If X= {1, 2, 3, 4} and Y = {3, 5, 6}, the elements of (X ∩ Y) ∪ X are {1,2,3,4} {3} {1,2,4} {3,5,6} 12. A sector of a circle of radius 14 cm which subtends an angle of 120° at the center is bent to form a cone. The base radius of the cone is 12 cm 7/2 cm 14 cm 14/3 cm 13. An arc of a circle subtends an angle of 45° at the circumference. The arc must beI. a minor arcII. a semicircleIII. one-quarter of the circumference of the circleIV. a major arcWhich of the above is/are correct? II and IV only all of the above none of the above III only I, II and IV only 14. In the figure, PQ and RS are two concentric arcs, center O. If the ratio of the lengths of the arcs is 1:4, the ratio of the areas of sector OPQ to ORS is 3:16 1:4 1:16 1:8 15. Find the variance and the standard deviation, respectively of the data below16, 18, 12, 14, 20, 25, 13, 15, 11 1, 13 11. 12.3 3.17, 14 17.3, 4.16 16. Given that cot θ = m/n,cosec θ equals √(m/n) n/m 1/n (n²+m²) 1/n √(n²+m²) 17. Evaluate the integrals: 3 12 11 6 18. Which of the following statements is false? If two triangles are congruent, then they are also similar An equiangular triangle is also equilateral If two triangles are similar, then they are also congruent An equilateral triangle is also equiangular 19. A 32 cm long string just fits around the perimeter of a square board. The area of the board is 144 cm² 64 cm² 32 cm² 100 cm² 20. Find the volume of a closed cylindrical container with radius 5 cm and a height of 34 cm. 704 cubic cm 450π cubic cm 850π cubic cm 950π cubic cm 1 out of 20 Time is Up! Time's up