**10th Math Periodic Test I (2018-19)**

**School Name:**St. Gregorios School, Plot No. 12, Sector 11, Dwarka,

**New Delhi**110075

**India**

**Class:**X

**Max. Marks:**20

**Time:**45 minutes

**Date:**

**07/07/2018**

#### Question: 1. If the mean of the following distribution is 6, find the value of P (1×5 = 5)

**x**

**y**

#### Question: 2. Write the solution of the equations x = 0; y = 0

#### Question: 3. For what values of ‘k’ will the following pair of linear equations have infinitely many solutions

Kx + 3y – (k – 3) = 0

12x + ky – k = 0

#### Question: 4. Find another equation to x + 2y = 3 so that the pair will have no solution.

#### Question: 5. The mean of 5 numbers is 27. If one number is excluded their mean is 25. What is the excluded number?

#### Question: 6. The distribution below shows the number of wickets taken by bowlers inn one-day cricket matches. Find the mean number of wickets by step deviation method. (3×5 = 15)

**No. of wickets**= 20 – 60

**No. of bowlers**= 7

#### Question: 7. Solve for x and y

a^{2 }b^{2
—– – —— = 0
}^{X Y}

a^{2 }b^{2
—– – —— = a+b; x, y ≠ 0
X Y}

#### Question: 8. The ages of employees in a factory are given below. Find the modal age of the employees in that factory

**Age of employees**(in years)

**No. of employees**(in factory)

30 – 40

40 – 50

50 – 60

60 – 70

40

58

90

83

#### Question: 9. Shruti travels 300 km to her home partly by train and partly by bus. She takes 4 hours if she travels 60 km by train and the remaining by bus. If she travels 100 km by train and the remaining by bus, she takes 10 minutes longer. Find the speed of the train and the bus separately.

#### Question: 10. The following distribution gives the daily income of 50 workers in an office

**Daily income**(in Rs)

**No. of workers**

Convert the distribution above to a less than type cumulative frequency distribution and find median graphically.