BNU1501 Basic Numeracy Department of Decision Sciences

Question 1 The straight line distance between two points is known as its The distance between two points is the length of the line segment that connects them. The correct option is: [4] length Question 2 Find the perimeter of the diagram below Perimeter = (10 + 15 + 4 + 4 + 6 + 11) m = 50 m The correct option is: [3] 50 m Question 3 Find the perimeter of the shaded region in the figure below, if ABCD is a square of side 14 cm and APB and CPD are semicircles, rounded off to the nearest integer. Side of a square (AB=BC=AD=CD) = 14 cm Diameter of circle= side of square= 14 cm Radius of circle = 7cm Perimeter of the shaded region = perimeter of semicircle DPC + perimeter of semicircle APB + AD + BC = πr + πr + 14 + 14 = 2 πr + 28 = 2×3.14×7 + 28 = 72 cm Hence, the Perimeter of the shaded region = 72 cm. The correct option is: [1] 72 cm ASSIGNMENT 03 2022 Study material: Chapters 4 and 5 in the Study Guide 3 Question 4 If 1 m = 100 cm, then how many cm 2 are there in a m 2 ? If 1 m = 100 cm, then (1 m) 2 = (100 cm) 2 ⟹1 m 2 = 10 000 cm2 The correct option is: [4] 10 000 cm 2 Question 5 Farmer Bob needs to build a fence for his chickens. The area he wants to build a fence around is 40 m long and the width is half of the length. How many square meters of fence does he need to buy? Length (L) = 40 m Width (W) = Half Length = 40÷2 =20 m The area, A = LW = 40 m × 20 m = 800 m 2 The correct option is: [1] 800 m 2 Question 6 Find the area of triangle ABC: Area of triangle ABC = 0,5×base×h = 0,5×1×1 = 0,5 = 1 cm2 2 The correct option is: [4] 1 cm 2 2 Question 7 From a rectangular metal sheet of sides 25 cm and 20 cm, a circular sheet as large as possible is cut-off. What is the area of the remaining sheet, rounded off to the nearest integer? Area of the remaining sheet = area of the rectangle - area of the circle The diameter of the circle = breadth of the rectangle = 20 cm. Hence the radius of the circle = 10 cm. Area of the remaining sheet = l×b – πr 2 = 25×20 – 3.14× 102 = 500 – 314 =186 cm2 The correct option is: [1] 186 cm 2 CONTINUES...