Elementary Algebra and Marks
CBSE TEST PAPER-01
MATHEMATICS (Class-10) Chapter 3 : Pair Linear Equations in Two Variables
1. 2. 3. 4.
For which values of p does the pair of equations given below have unique solution? (2 marks) 4x + py + 8 = 0, 2x + 2y + 2 = 0 Solve graphically: 3x + 2y = 14x, x – 4y = 7 (3 marks) Two rails are represented by the equations x + 2y – 4 = 0 and 2x + 4y -12 = 0. Represent this situation geometrically. (3 marks) a b c On comparing the ratio 1 , 1 and 1 find out whether the lines representing the pair of linear a2 b2 c2 equation intersect at a point, is parallel or coincident: x + 3y = 6, 2x – 3y =12. (3 marks) Solve the pairs of linear equation: (3 marks) 5 2 15 7 − = −1, + = 10 (i) x+ y x− y x+ y x− y (ii) u + v = 5uv, 3u + 2v = 13uv A boat goes 30km upstream and 44km downstream in 10 hours. In 13 hours, it can go 40km upstream and 55km down-stream Determine the speed of the stream and that of the boat in still water. (3 marks) The sum of the digits of a two-digit number is 9. Also, nine times this number is twice the number obtained by reversing the order of the digit. Find the number. (3 marks) The area of a rectangle gets reduced by 9 square units, if its length is reduced by 5 units and breadth is increased by 3 units. If we increase the length by 3 units and the breadth by 2 units, the area increases by 67 square units. Find the dimensions of the rectangle. (3 marks) 2 women and 5 men can together finish an embroidery work in 4 days, while 3 women and 6 men can finish it in 3 days. Find the time taken by 1 woman alone to finish the work, and also that taken by 1 man alone. (3 marks) Roohi travels 300km to her home partly by train and partly by bus. She takes 4 hours if she travels 60km by train and the remaining by bus. If she travels 100km by train and the remaining by bus, she takes 10 minutes longer. Find the speed of the train and the bus separately. (3 marks)
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Material downloaded from http://myCBSEguide.com and
MATHEMATICS (Class-10) Chapter 3 : Pair Linear Equations in Two Variables
1. 2. 3. 4.
For which values of p does the pair of equations given below have unique solution? (2 marks) 4x + py + 8 = 0, 2x + 2y + 2 = 0 Solve graphically: 3x + 2y = 14x, x – 4y = 7 (3 marks) Two rails are represented by the equations x + 2y – 4 = 0 and 2x + 4y -12 = 0. Represent this situation geometrically. (3 marks) a b c On comparing the ratio 1 , 1 and 1 find out whether the lines representing the pair of linear a2 b2 c2 equation intersect at a point, is parallel or coincident: x + 3y = 6, 2x – 3y =12. (3 marks) Solve the pairs of linear equation: (3 marks) 5 2 15 7 − = −1, + = 10 (i) x+ y x− y x+ y x− y (ii) u + v = 5uv, 3u + 2v = 13uv A boat goes 30km upstream and 44km downstream in 10 hours. In 13 hours, it can go 40km upstream and 55km down-stream Determine the speed of the stream and that of the boat in still water. (3 marks) The sum of the digits of a two-digit number is 9. Also, nine times this number is twice the number obtained by reversing the order of the digit. Find the number. (3 marks) The area of a rectangle gets reduced by 9 square units, if its length is reduced by 5 units and breadth is increased by 3 units. If we increase the length by 3 units and the breadth by 2 units, the area increases by 67 square units. Find the dimensions of the rectangle. (3 marks) 2 women and 5 men can together finish an embroidery work in 4 days, while 3 women and 6 men can finish it in 3 days. Find the time taken by 1 woman alone to finish the work, and also that taken by 1 man alone. (3 marks) Roohi travels 300km to her home partly by train and partly by bus. She takes 4 hours if she travels 60km by train and the remaining by bus. If she travels 100km by train and the remaining by bus, she takes 10 minutes longer. Find the speed of the train and the bus separately. (3 marks)
5.
6.
7. 8.
9.
10.
Material downloaded from http://myCBSEguide.com and