E-MATHS Question 1 ( a) Two bodies in motion reach a point at the same time with velocities of 8 ms-1 and 22 ms-1 and accelerations of 20 ms-2 and 18 ms-2 respectively. In what time will the bodies be 15m apart? (b) Two balls of masses 25g and 15g moving in opposite directions with speeds of 8 ms-1 and 3 ms-1 respectively, collide. After collision, the 25g ball continues in its original direction with a speed of 5 ms-1. Calculate the change in momentum of the 15g ball due to the collision. Question 2 1. A uniform bar PQ of length 60 cm and weight 20 N is supported at two points C and D such that | PC| = 10 cm and |QD| = 15 cm. Two forces 10 N and 15 N are placed at P and Q respectively. If the system remains in equilibrium under the action of these forces, calculate the reactions at C and D. [Take g = 10 ms-2] 2. Two forces 3i N and 4j N act on an object of mass 5 kg. Find the acceleration of the object. Question 3 1. Forces F 1 = (3 N, 210o) and F2 = (4N, 120o) act on a particle of mass 7kg which is at rest. Calculate the: 1. acceleration of the particle; 2. velocity of the particle after 3 seconds. F1 = (2 i + 3j )N, F2 = (-5 j) N and F3 = (6 i – 4j )N act on a body. Find the magnitude and direction of the fourth force that will keep the body in equilibrium. Question 4 (a) Two forces (3i + 5j) and (-2i + 3j) act on a body of mass 2 kg and cause it to move. Find, correct to two decimal places, the magnitude of the: (i) resultant force acting on the body; (ii) acceleration of the body; (iii) Change in velocity, if the forces acted on the body for 5 seconds. (b) A uniform beam of length 100 cm and mass 1.5 kg is placed on a pivot which is 20 em from one end. A vertical force, T, is applied upwards 5 cm from the other end to keep the beam in equilibrium. Calculate the: (i) magnitude of T; (ii) reaction at the pivot. [Take g = 10 ms-2] Question 5 (a) The position vectors of the points X and Yare x = (-2 j + 5 j) and y = (i -7 j) respectively. (i) (3 x + 2y); (ii) I (y - 2x) I; (iii) the angle between x and y; (iv) the unit vector in the direction of (x + y). (b) A bullet of mass 0.084 kg is fired horizontally into a 20 kg block of wood at rest on a smooth floor. If they both move at a velocity of 0.24 ms after impact, calculate, correct to two decimal places, the initial velocity of the bullet. Question 6 (a) Two forces (3i + 5j) and (-2i + 3j) act on a body of mass 2 kg and cause it to move. Find, correct to two decimal places, the magnitude of the: (i) resultant force acting on the body; (ii) acceleration of the body; (iii) Change in velocity, if the forces acted on the body for 5 seconds. (b) A uniform beam of length 100 cm and mass 1.5 kg is placed on a pivot which is 20 em from one end. A vertical force, T, is applied upwards 5 cm from the other end to keep the beam in equilibrium. Calculate the: (i) magnitude of T; (ii) reaction at the pivot. [Take g = 10 ms-2] Question 6 (a) The position vectors of the points X and Yare x = (-2 j + 5 j) and y = (i -7 j) respectively. (i) (3 x + 2y); (ii) I (y - 2x) I; (iii) the angle between x and y; (iv) the unit vector in the direction of (x + y). (b) A bullet of mass 0.084 kg is fired horizontally into a 20 kg block of wood at rest on a smooth floor. If they both move at a velocity of 0.24 ms after impact, calculate, correct to two decimal places, the initial velocity of the bullet... Likely science question--Agricultural aspect 1.what is artificial insemination. a.what is a lawn .c. what is fertilizer ? 2.name the three equipment used for harvesting fish from a pond .a.what is backyard farming .c. describe an experiment to show that organic food substance are transported to plants through the pholem .5.what is brooding in poultry production a.explain two methods of preserving eggs of poultry? distinguish between fish and fish farming The diagram above is a leaf attached to a branch. Study it carefully and answer the following questions. 1a. Identify the diagram as simple or compound leaf. b. Name the parts labeled 1,2,3,5,and 6. ii. State a function of the parts 1,2,3 and 4. iii. Give 3 examples of plants which has; •simple leaves •compound leaves c. State 3 uses of plants. ii. What is photosynthesis? iii. State 3 importance of photosynthesis to both plants and man. SCIENCE -difference b/n magnet n magnetic field. -velocity time graph -difference b/n density n relative density. -isotopes -digestion of a ruminant. ECONS -population -why is de short run marginal cost curve usualy U- shaped -national income n importance -difference b/n between price n comodity. -monopoly. SOCIAL -law n order -election -democracy. (frm achimota. Take it serious coz all their questions for the home econs students came life n coloured when they wrote their planning exams . Question 5 A sector of angle 135° is removed from a thin circular metal sheet of radius 40cm. It is then folded with the straight edges coinciding to form a right circular cone. Calculate the: base radius of the cone, correct to two decimal places greatest volume of liquid which the cone can hold, leaving your answer correct to the nearest cm3. (Take p = 22/7) Question 6 (a) By how much is 110002 greater than or les than 1112 x 112? (b) A shopkeeper has in stock 20 televisions set percent. He sells 18 of them at a profit of 15 percent and the remaining two at a loss of 5 percentage. Find his profit on the 20 sets.. Question 3 The marks scored by 50 students in a Geography examination are as follows: 60 50 40 67 53 73 37 55 62 43 44 69 39 32 45 58 48 67 39 51 46 59 40 52 61 48 23 60 59 47 65 58 74 47 40 59 68 51 50 50 71 51 26 36 38 70 46 40 51 42 (a) Using class intervals 21 – 30, 31 – 40…, prepare a frequency distribution table. (b) Calculate the mean mark of the distribution (c) What percentage of the students scored more than 60% Question 4 (a) A circle is inscribed in a square. If the sum of the perimeter of the square and the circumference of the circle is 100 cm, calculate the radius of the circle. [Take p = 22/7 (b) A rope 60cm long is made to form a rectangle. If the length is 4 times its breadth, calculate, correct to one decimal place, the (i) length; (ii) diagonal of the rectangle Question 5 (a)How many numbers between 75 and 500 are divisible by 7? (b) The 8th term of an Arithmetic progression (A.P.) is 5 times the third term while the 7th term is 9 greater than the 4th term. Write the first five terms of the A.P Question 6 (a)Copy and complete the table of values for y = sin x + 2 cos x, correct to one decimal place. X 0° 30º 60° 90° 120° 150° 180° 210° 240 Y 2.2 -1.2 -2.0 -1.9 (b) Using a scale of 2 cm to 30° on the x – axis and 2 cm to 0.5 units on the y-axis, draw the graph of y = sin x + 2cos x for 0° ≤ x ≤ 240° (c) Use your graph to solve the equation: (i) sin x + 2cos x = 0; (ii) sin x = 2.1 – 2cos x (d) From the graph, find y when x = 171°..?. 3 hours Question 3 The marks scored by 50 students in a Geography examination are as follows: 60 50 40 67 53 73 37 55 62 43 44 69 39 32 45 58 48 67 39 51 46 59 40 52 61 48 23 60 59 47 65 58 74 47 40 59 68 51 50 50 71 51 26 36 38 70 46 40 51 42 (a) Using class intervals 21 – 30, 31 – 40…, prepare a frequency distribution table. (b) Calculate the mean mark of the distribution (c) What percentage of the students scored more than 60% Question 4 (a) A circle is inscribed in a square. If the sum of the perimeter of the square and the circumference of the circle is 100 cm, calculate the radius of the circle. [Take p = 22/7 (b) A rope 60cm long is made to form a rectangle. If the length is 4 times its breadth, calculate, correct to one decimal place, the (i) length; (ii) diagonal of the rectangle Question 5 (a)How many numbers between 75 and 500 are divisible by 7? (b) The 8th term of an Arithmetic progression (A.P.) is 5 times the third term while the 7th term is 9 greater than the 4th term. Write the first five terms of the A.P Question 6 (a)Copy and complete the table of values for y = sin x + 2 cos x, correct to one decimal place. X 0° 30º 60° 90° 120° 150° 180° 210° 240 Y 2.2 -1.2 -2.0 -1.9 (b) Using a scale of 2 cm to 30° on the x – axis and 2 cm to 0.5 units on the y-axis, draw the graph of y = sin x + 2cos x for 0° ≤ x ≤ 240° (c) Use your graph to solve the equation: (i) sin x + 2cos
Posted on: Wed, 19 Mar 2014 15:33:32 +0000
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