Maths Non Calc Paper free essay sample

The range of the base of a chamber is x cm. The tallness of the chamber is 9. 5 cm longer than the span of its base. The region of the bended surface of the chamber is equivalent to the absolute surface territory, 33p cm2, of the toy. (c)Calculate the stature of the chamber. cm (6 imprints) â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€ Question 3 A tent has a groundsheet as its even base. The state of the tent is a triangular crystal of length 8 meters, with two indistinguishable half right-roundabout cones, one at each end. The vertical cross-segment of the crystal is an isosceles triangle of tallness 2. meters and base 3. 6 meters. (a)Calculate the region of the groundsheet. Offer your response, in m2, right to one decimal spot. (3 imprints) (b)Calculate the all out volume of the tent. Offer your response, in m2, right to on e decimal spot. (4 imprints) â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€ Question 4 A circle has a span of 5. 4 cm. A cone has a stature of 8 cm. The volume of the circle is equivalent to the volume of the cone. Figure the range of the base of the cone. Offer your response, in centimeters, right to 2 noteworthy figures. (3 imprints) â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€ Question 5 A chamber has a stature of 24 cm and a sweep of 4 cm. Work out the volume of the chamber. Offer your response right to 3 huge figures. cm3 (2 imprints) â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€ Question 6 AB is corresponding to CD Angle ACB = point CBD = 90â °. Demonstrate that triangle ABC is compatible to triangle DCB. (3 imprints) â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€ Question 7 The chart speaks to an enormous cone of tallness 6 cm and base breadth 18 cm. The enormous cone is made by putting a little cone An of tallness 2 cm and base distance across 6 cm on a frustum B. Compute the volume of the frustum B. Offer your response as far as p. . (4 imprints) â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€ Question 8 Triangle PQR is isosceles with PQ = PR. X is a point on PQ. Y is a point on PR. PX = PY. Demonstrate that triangle PQY is compatible to triangle PRX. (3 imprints) â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€ Question 9 The graph shows a trapezium. The estimations on the outline are in centimeters. The lengths of the equal sides are x cm and 20 cm. The tallness of the trapezium is 2x cm. The zone of the trapezium is 400 cm2. (a)Show that x2 + 20x = 400 2 imprints) (b)Find the estimation of x. Offer your response right to 3 decimal spots. . (3 imprints) â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€ Question 10 The chart shows an area of a circle, focus O. The span of the circle is 9 cm. The edge at the focal point of the circle is 40â °. Discover the border of the segment. Leave your answer regarding p. . cm (4 imprints) â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€ Question 11 In triangle ABC, AC = 8 cm, CB = 15 cm, Angle ACB = 70â °. (a)Calculate the zone of triangle ABC. Offer your response right to 3 huge figures. .. cm2 (2 imprints) X is the point on AB with the end goal that edge CXB = 90â °. (b)Calculate the length of CX. Offer your response right to 3 noteworthy figures. . cm (4 impri nts) â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€ Question 12 ABCDEF is a standard hexagon with sides of length 3 cm. PAB, QBC, RCD, SDE, TEF and UFA are symmetrical triangles of length 3 cm. Figure the absolute territory of the concealed shape. Offer your response right to 3 critical figures. cm2 (4 imprints) â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€ Question 13 ABCD is a quadrilateral. K is the midpoint of AB. L is the midpoint of BC. M is the midpoint of CD. N is the midpoint of AD. (a)Find, as far as a, b and c, the vectors. . . . . (4 imprints) (b)Write down two geometrical realities about the lines KN and LM which could be found from your responses to section (a). (2 imprints) â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€ Question 14 This is a sketch of the bend with condition y = f(x). The main greatest purpose of the bend y = f(x) is A(3, 6). Record the directions of the greatest point for bends with every one of the accompanying conditions. (i)y = f(x + 2) (. , . ) (ii)y = f(x) + 4 (. , . ) (iii)y = f(- x) (. , . ) (3 imprints) â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€ Question 15 A nursery comprises of a pyramid on a crystal. The cross area of the crystal and the base of the pyramid is a standard octagon. Each side of the octagon is 0. 80 m long. The stature of the crystal is 1. 73 m. The tallness of the pyramid is 0. 68 m. Compute the volume of the nursery. Offer your response right to 3 noteworthy figures. Volume = m3 (7 imprints) â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€ Question 16 OAB is a triangle. P is the mid-purpose of OA. B is the mid-purpose of OC. . (2 imprints) (b)Use vectors to show that AC is corresponding to PB. (3 denotes) The length of PB is 8 cm. (c)Write down the length of AC. . cm (1 imprint) â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€ Question 17 a)Find an articulation for the zone, in cm2, of this trapezium. Offer your response in the structure ax2 + bx + c, where a, b and c are whol e numbers. Zone = cm2 (3 denotes) The trapezium is cut from a square of side (2x + 5) cm. On the graph, the concealed district is the territory of the square that is left. (b)Show that the zone of the concealed area is (22 + 11x + 21) cm2. (3 denotes) The region of the concealed locale is 42 cm2. (c)Form and settle a quadratic condition to discover the estimation of x. x = (3 imprints) â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€â€ Question 18 The pyramid Cheops in Egypt is a