Maths Non Calc Paper free essay sample

The span 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 zone of the bended surface of the chamber is equivalent to the all out 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-round cones, one at each end. The vertical cross-area of the crystal is an isosceles triangle of tallness 2. meters and base 3. 6 meters. (a)Calculate the zone of the groundsheet. Offer your response, in m2, right to one decimal spot. (3 imprints) (b)Calculate the absolute volume of the tent. Offer your response, in m2, right to one decimal spo t. (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 sweep 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. Compute the span of the base of the cone. Offer your response, in centimeters, right to 2 critical 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 tallness of 24 cm and a span of 4 cm. Work out the volume of the chamber. Offer your response right to 3 critical 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 harmonious 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 graph speaks to an enormous cone of stature 6 cm and base distance across 18 cm. The huge cone is made by setting a little cone An of stature 2 cm and base breadth 6 cm on a frustum B. Ascertain 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 consistent 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 chart shows a trapezium. The estimations on the outline are in centimeters. The lengths of the equal sides are x cm and 20 cm. The stature of the trapezium is 2x cm. The territory 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 d ecimal 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 outline shows a segment of a circle, focus O. The sweep of the circle is 9 cm. The point at the focal point of the circle is 40â °. Discover the edge of the division. Leave your answer as far as 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 region of triangle ABC. Offer your response right to 3 huge figures. .. cm2 (2 imprints) X is the point on AB to such an extent that edge CXB = 90â °. (b)Calculate the length of CX. Offer your response right to 3 noteworthy figures. . 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 12 ABCDEF is an ordinary hexagon with sides of length 3 cm. PAB, QBC, RCD, SDE, TEF and UFA are symmetrical triangles of length 3 cm. Figure the all out zone of the concealed shape. Offer your response right to 3 huge 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 concluded 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 most extreme purpose of the bend y = f(x) is A(3, 6). Record the directions of the most extreme 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 normal octagon. Each side of the octagon is 0. 80 m long. The stature of the crystal is 1. 73 m. The stature of the pyramid is 0. 68 m. Figure the volume of the nursery. Offer your response right to 3 critical 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 region, in cm2, of this trapezium. Offer your response in the structure ax2 + bx + c, where a, b and c are whole numbers. Territory = cm2 (3 denotes) The trapezium is cut from a square of side (2x + 5) cm. On the graph, the concealed district is the zone of the square that is left. (b)Show that the region of the concealed district is (22 + 11x + 21) cm2. (3 denotes) The region of the concealed district is 42 cm2. (c)Form and explain 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