MATHS TEST -1
TOTAL MARKS-35
Q1) 10 students of Class X took part in a Mathematics quiz. If the
number of girls is 4 more than the number of boys, find the number
of boys and girls who took part in the quiz. (2 MARKS)
Q2) On comparing the ratios find out whether the following pair of
linear equations are consistent, or inconsistent. (3 marks)
(i) 3x + 2y = 5 ; 2x – 3y = 7
(ii) (ii) 2x – 3y = 8 ; 4x – 6y = 9
3 5
(iii) (iii) x + y=7
2 3 ;9x – 10y = 14
Q3) Half the perimeter of a rectangular garden, whose length is 4 m
more than its width, is 36 m. Find the dimensions of the garden. (2
MARKS)
Q4) In a shop the cost of 2 pencils and 3 erasers is `9 and the cost of 4
pencils and 6 erasers is `18. Find the cost of each pencil and each
eraser. (2 MARKS)
Q5) Solve the following pair of linear equations by the substitution
method. (3 marks)
(i) x + y = 14, x – y = 4
(ii) 0.2x + 0.3y = 1.3, 0.4x + 0.5y = 2.3
(iii) x – 2y = 8, 5x – 10y = 10
Q6) The taxi charges in a city consist of a fixed charge
together with the charge for the distance covered. For a
distance of 10 km, the charge paid is ` 105 and for a journey
TOTAL MARKS-35
Q1) 10 students of Class X took part in a Mathematics quiz. If the
number of girls is 4 more than the number of boys, find the number
of boys and girls who took part in the quiz. (2 MARKS)
Q2) On comparing the ratios find out whether the following pair of
linear equations are consistent, or inconsistent. (3 marks)
(i) 3x + 2y = 5 ; 2x – 3y = 7
(ii) (ii) 2x – 3y = 8 ; 4x – 6y = 9
3 5
(iii) (iii) x + y=7
2 3 ;9x – 10y = 14
Q3) Half the perimeter of a rectangular garden, whose length is 4 m
more than its width, is 36 m. Find the dimensions of the garden. (2
MARKS)
Q4) In a shop the cost of 2 pencils and 3 erasers is `9 and the cost of 4
pencils and 6 erasers is `18. Find the cost of each pencil and each
eraser. (2 MARKS)
Q5) Solve the following pair of linear equations by the substitution
method. (3 marks)
(i) x + y = 14, x – y = 4
(ii) 0.2x + 0.3y = 1.3, 0.4x + 0.5y = 2.3
(iii) x – 2y = 8, 5x – 10y = 10
Q6) The taxi charges in a city consist of a fixed charge
together with the charge for the distance covered. For a
distance of 10 km, the charge paid is ` 105 and for a journey
