Date: July 2019

- All questions are compulsory.
- Figures to the right of questions indicate full marks.
- Use of calculator is not allowed.

If |7| × |-4| = a, then find the value of a.

Chapter: [0.01] Linear equations in two variables

If x + y = 5 and x - y = 1, then find the value of x.

Chapter: [0.02] Quadratic Equations

Find the median of the scores 7, 10, 5, 8, 9.

Chapter: [0.06] Statistics

Write the degree of Polynomial 5x^{2} + 2x + 3x^{4} + 4.

Chapter: [0.02] Quadratic Equations

If A = {1, 2, 3, 4, 5} and B = {1, 3, 7}, then A ∩ B = ?

Chapter: [0.05] Probability [0.05] Probability

Find out the ratio of 1 mm to 1 cm.

Chapter: [0.03] Arithmetic Progression

Find the factors of the Polynomial 3x^{2} - 2x - 1.

Chapter: [0.02] Quadratic Equations

`square` ABCD is a parallelogram. the ration of `angle`A and `angle`B of this parallelogram is 5 : 4. Find the measure of `angle`B.

Chapter: [0.03] Arithmetic Progression

Alka spends 90 % of the amount sent to her and saves Rs. 120 per

month. Find the amount sent to her per month.

Chapter: [0.01] Linear equations in two variables

**Choose correct alternative for the following question.**

Find the value of \[\begin{vmatrix}5 & 3 \\ - 7 & - 4\end{vmatrix}\]

–1

–41

41

1

Chapter: [0.01] Linear equations in two variables

**Choose the correct answer for the following question.**Out of the following equations which one is not a quadratic equation?

`x^2+4x=11+x^2`

`x^2=4x `

`5x^2=90+5`

`2x-x^2=x^2`

Chapter: [0.02] Quadratic Equations

Choose the correct alternative answer for the following question.

If n(A) = 2, P(A) =`1/5` , then n(S) = ?

10

` 5/2`

`2/5`

`1/3`

Chapter: [0.05] Probability [0.05] Probability

For a given A.P., a = 3.5, d = 0, then t_{n }= _______ .

0

3.5

103.5

104.5

Chapter: [0.03] Arithmetic Progression

Find k if x = 3 is a root of equation kx^{2} – 10x + 3 = 0

Chapter: [0.02] Quadratic Equations

Market value of a share is Rs 200. If the brokerage rate is 0.3% then find the purchase value of the share.

Chapter: [0.04] Financial Planning

The following table shows the number of students and the time they utilized daily for their studies. Find the mean time, spent by students for their studies:

Time (hrs.) |
No.of.students |

0 - 2 | 8 |

2 - 4 | 14 |

4 - 6 | 18 |

6 - 8 | 10 |

8 -10 | 10 |

Chapter: [0.06] Statistics

There are 9 tickets in a box, each bearing one of the numbers from 1 to 9.

One ticket is drawn at random from the box.

Event A: Ticket shows an even number.

Complete the following activity from the given information:

**Activity:**

S = {__________}

n(S) = ____________

A = {________}

n(A) = ___________

Chapter: [0.05] Probability

Complete the following activity to form a quadratic equation. **Activity: **

Chapter: [0.02] Quadratic Equations

Complete the following activity to find the number of natural numbers between 1 and 171, which are divisible by 5:

**Activity :**

Chapter: [0.03] Arithmetic Progression

Solve the following simultaneous equations :

4 x + 3y = 11; 3x + 4y = 10

Chapter: [0.01] Linear equations in two variables

Find the 23rd term of the following A.P.: 9, 4,-1,-6,-11.

Chapter: [0.03] Arithmetic Progression

Find the mode from the following information :

l = 10, h = 2, f_{0} = 58, f_{1} = 70, f_{2} = 42.

Chapter: [0.06] Statistics

Solve the following simultaneous equations graphically:

x + y = 2 ; x - y = 4.

Chapter: [0.01] Linear equations in two variables

Sachin invested some amounts in National Saving Certificates in a specific way. In the first year, he invested 4,000 in the second year 6,000 in the third year 8,000 and so on for 12 years. Find the total amount he invested in 12 years.

Chapter: [0.03] Arithmetic Progression

A readymade garment shopkeeper gives 5% discount on a dress of 2,000 and charges 5% GST on the remaining amount. What is the purchase price of the dress for the customer?

Chapter: [0.04] Financial Planning

A bag contains 3 red, 3 white, 3 green, and 3 black balls. One ball is picked up from the bag at random. What is the probability that the ball drawn is:

a. white

b. not white.

Chapter: [0.05] Probability

Out of 555 km, Vishal travelled certain distance by bus and

remaining distance by car. A bus travels with an average speed of 60 km/hr and the average speed of a car is 75 km/hr. He takes total 8 hours to complete the journey. Find the distance that Vishal travelled by bus.

Chapter: [0.01] Linear equations in two variables

The time required for some students to complete a science experiment and the number of students is shown in the following grouped frequency distribution table. Draw the frequency polygon with the help of histogram using given information:

Time required for experiment (minutes) |
Number of Students |

20 - 22 | 6 |

22 - 24 | 14 |

24 - 26 | 20 |

26 - 28 | 16 |

28 - 30 | 12 |

30 - 32 | 10 |

Chapter: [0.06] Statistics

Construct a word problem on quadratic equation, such that one of its answers is 20 (years, rupees, centimeter, etc.). Also, solve it.

Chapter: [0.02] Quadratic Equations

A student made a cube-shaped die from a card sheet. Instead of writing numbers 1,2,3,4,5,6 on its face, he wrote letters a,b,c,d,e,f one on each face randomly. If he rolls the die twice, find the probability that he gets a vowel on the upper face both times.

Chapter: [0.05] Probability

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