f2-mathematics-revision-exercise

f2-mathematics-revision-exercise - If the volume of the...

Info icon This preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
F.2 Mathematics Revision Exercise(Final) 1. In the figure, QRS is a straight line, PQR = TRS = 90 ° and PQ = QS = ST . Find the area of (a) TQR ; (b) PQT . 2. In the figure, ABC is a triangle with BC = 10 cm, AC = 8 cm and BAC = 90 ° . D is the foot of perpendicular A to BC . (a) Find the length of AB . (b) Find the area of ABC . (c) Hence find the length of AD . 3. In the figure, AH and CK are perpendicular to BC and AB . If AH : CK = 6 : 7, find the value of ACB BAC sin sin . 4. In the figure, ACB = 90 ° , DBC = 25 ° , DAC = 30 ° , AD = 11 and BD = 12. Find AB , correct to 3 significant figures.
Image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
5. Figure (a) shows a rock pillar, its cross-section is a major arc as shown in figure (b) and AOB = 90 ° . (a) Find the cross-section area of the pillar. (b)
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: If the volume of the pillar is 14.2 m 3 , find its height. 6. A circular tank of base radius 2 m is filled with water to a depth of 5.5 m. A metal pillar, 10 m long, with triangular cross-section, is then lowered until it stands upright on the tank’s base as shown in the figure. If the base of the pillar is a right-angled triangle whose perpendicular sides are 1 m and 2 m, find (a) the rise in water-level, (b) the total area of the wet surfaces of the pillar. ANSWER 1. (a) 216 (b) 225 2. (a) 6 cm (b) 24 cm 2 (c) 4.8 cm 3. (a) 6 7 4. 21.9 5. (a) 8.49 cm (b) 3400 cm 3 6. (a) 1.83 m 2 (b) 7.77 m 圖 (a) Figure (a) 圖 (b) Figure (b) 8 cm 0.8 m...
View Full Document

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern