Important Paper Mathematics Mock Test

Q1. The mode of a data exceeds its mean by 12 . By how much does its mode exceed the median ?

1. 8
2. 12
3. 0
4. 10

Q2. in what ratio does X-axis divide the line segment joining the points (3.4 ) and (2,6 )?

1. 2:3 internally
2. 2:3 internally
3. 3:2 internally
4. 3:2 internally

Q3. on a certain day the chance of rain is 80% in Delhi and 30% in Hyderabad . Assume that the chance of rain in the two cities is independent What is the probability that is will not rain in either city ?

1. 7%
2. 14%
3. 24%
4. 50%

Q4. The internal and extermsl radii of a hemispherical metallic vessel are 7 cm and 10.5 cm resprctively . if 1 cm 3 of the metal weighs 10 g. find the weight of the vessel

1. 25. 15 kg
2. 32 .1 kg
3. 17. 07 kg
4. 16. 27 kg

Q5. 2 and (-2) are two zeros of the polynomial 34 m 4 – 4m + 120 What are the other two zeros of the polynomial ?

1. 5,-6
2. -5,6
3. -5 ,-6
4. 5,6

Q6. The minute hand of a clock is 7cm long . Find the area traced out by it of the clock face between 4: 15 p.m. and 4:35 p.m.

1. 59 cm 2
2. 65 cm 2
3. 52 cm 2
4. 45 cm 2

Q7. the sum of the first 10 terms of an arithmetic progression is four times the sum of its first five terms Find the ratio of the first term to the common difference

1. 1:4
2. 4:1
3. 2:1
4. 1:2

Q8. A Semicircular piece of paper of radius 14 cm is rolled to form a cone of the largest possible size Find the capacity of the cone

1. 721.5 cm 3
2. 645.10 cm 3
3. 449.64 cm 3
4. 622.37 cm 3

Q9. What is the nature of the graphs of a system of linear equations with exactly one solution ?

1. Parallel lines
2. Perpendicular lines
3. Coincident lines
4. intersecting lines

Q10. Ruhi has only Rs . 1 and Rs. 2 coins with her if the total number of coins that she has is 50 and the amount of money with her is rs 75 find the number of rs 1 and Rs 2 coins .

1. 25 and 25
2. 15 and 25
3. 35 and 15
4. 35 and 20