Term 1 - Summative Assessment Mathematics Question Paper Set - 1 Time: 3 to 3 ½ hours Max. Marks: 80 All questions are compulsory. The questions paper consists of 34 questions divided into four sections A‚ B‚ C and D. Section A comprises of 10 questions of 1 mark each‚ Section B comprises of 8 questions of 2 marks each‚ Section C comprises of 10 questions of 3 marks each and Section D comprises of 6 questions of 4 marks each. Question numbers 1 to 10 in section A are multiple choice questions
Premium Triangle Angle
Calculate the expected population in 2008. 7. In triangle ABC‚ angle B is a right angle‚ angle A is equal to 45°‚ side AC = 20 cm. Find the length of side AB. 8. [pic] A‚ B and C are points on a circle‚ centre O. Angle AOB = 40°. (i) Write down the size of angle ACB. (ii) Find the size of angle OAB. 9. Find the hypotenuse of a right triangle with the other two sides measuring 3.2 cm and 2.4 cm.
Premium Triangle Angle Equals sign
information we know that Vanessa must walk North x paces‚ then 2x + 4 paces to the East. We do not know which direction Ahmed must go‚ however‚ we assume that they will end up in the same location. Using a piece of paper‚ I drew the triangle and it is right triangle. Now I can use the Pythagorean Theorem to help solve for x. The Pythagorean Theorem is a^2 + b^2 = c^2. Letting a = x‚ b= 2x+4‚ and c = 2x + 6. a^2 + b^2 = c^2 Pythagorean Theorem x^2 + (2x+4)^2 = (2x+6)^2 Putting the binomials
Premium Pythagorean theorem Mathematics Triangle
| 12 | 12 | 32 | Cos | 32 | 12 | 12 | tan | 13 | 1 | 2 2 3 300 600 1 1 3 | 2 450 1 1 Area of triangle There is an basic formula for finding the area of a triangle A=12BH but I’m going to look at how to find the area of a triangle WITHOUT the base OR the height. X Y Z As long were are given x‚y AND z we can find the area of this triangle without using the base or height. B A=12×X×Y×sinZ A C c a b AREA=12absinB You can’t find the area if you don’t meet
Premium Triangle Pythagorean theorem Integer
Trigonometry Trigonometry uses the fact that ratios of pairs of sides of triangles are functions of the angles. The basis for mensuration of triangles is the right- angled triangle. The term trigonometry means literally the measurement of triangles. Trigonometry is a branch of mathematics that developed from simple measurements. A theorem is the most important result in all of elementary mathematics. It was the motivation for a wealth of advanced mathematics‚ such as Fermat’s Last Theorem
Premium Pythagorean theorem Mathematics Triangle
the exact length of the purposed ramp. You know that the ramp will span 20 feet and drop 6 feet. If you sketch a side view of the ramp on a piece of graph paper you notice that it forms a right triangle. The length of the surface of the new ramp will be equal to the long side of this right triangle. Remembering the distance formula from MTH220 class‚ you consider how it can be used to find the length of the ramp. Equation and Variables The distance formula is used to find distance between
Premium Pythagorean theorem Length Geometry
Pythagorean Theorem was termed after Pythagoras‚ who was a well-known Greek philosopher and mathematician‚ and the Pythagorean Theorem is one of the first theorems identified in ancient civilizations. “The Pythagorean theorem says that in any right triangle the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse” (Dugopolski‚ 2012‚ p. 366 para. 8). For this reason‚ many builders from various times throughout history have used this theorem to assure that
Premium Pythagorean theorem Triangle
Treasure Hunt: Finding the Values of Right Angle Triangles This final weeks course asks us to find a treasure with two pieces of a map. Now this may not be a common use of the Pythagorean Theorem to solve the distances for a right angled triangle but it is a fun exercise to find the values of the right angle triangle. Buried treasure: Ahmed has half of a treasure map‚which indicates that the treasure is buried in the desert 2x + 6 paces from Castle Rock. Vanessa has the other half of the map
Premium Pythagorean theorem Triangle Law of cosines
the syllabus. (Marks 2)Question 13) In figure ABCD is a cyclic quadrilateral. AE is drawn parallel to CD and BA is produced. If ABC = 92o‚ FAE = 20o‚ find BCD. (Marks 2) No answer Question 14) Determine the length of an altitude of an equilateral triangle of side 2a cm. (Marks 2)Question 15) In the figure‚ a circle touches all the four sides of a quadrilateral ABCD where sides AB = 6 cm‚ BC = 7 cm and CD = 4 cm. Find AD. (Marks 2) sorry‚ no answer for this as I do not have diagram for this question>
Premium Quadratic equation Arithmetic mean Real number
Two triangles are said to be similar if every angle of one triangle has the same measure as the corresponding angle in the other triangle. The corresponding sides of similar triangles have lengths that are in the same proportion‚ and this property is also sufficient to establish similarity. A few basic theorems about similar triangles: * If two corresponding internal angles of two triangles have the same measure‚ the triangles are similar. * If two corresponding sides of two triangles are
Premium Management Psychology Education