Mathematics: Class-VII

Ist term-2013

20+20+15=55 marks

Group-A-20

1> What is the ratio of 60 Paisa to 4Rs.80Paisa? [1]

2> Find the value of (a3)0 [1]

3> The speed of a bicycle is 12 km/hr. express the speed into meter /second [1]

4> Find the sum : (1+2y-3y2-5y3),( -1+2y2-y),(5y3+3y2+4) [2]

5> In a triangle the ratio of angle, <A, <B and <C is 2:3:7. Find each angle in degree [3]

6> The two extreme terms of three numbers which are in continued proportion [3]are 8,18. Find the mean proportion.

7> 12 men can do a piece of work in 15 days. In how many days can 10 men do [3]the same work

8> Find the product of 9x2b2c * (-3a5b5c7)*(-x7/15) [3]

9> Simplify : (a + b)(a - b)+(b+ c)(b- c)+(c + a)(c - a)

[3]

Group-B-20

1> Divide (m2n4 +m3n2 -m3n3 +m4n2) by (-m4n4) [3]

2> A 35 meters bamboo is divided into 3 pieces. The second and third pieces are [3]greater than the first piece by 2 meters and 3 meters respectively. Find out the length of each piece.

3> Subtract the first polynomial from the second polynomial (1-p3) , (2p3-3pq2 -2q3) [3]

4> In what time will a train , 85 meters long running with a speed of 45 km/hr [3]Cross 65 meters long bridge?

5> The monthly income of a man is Rs. 12,750. If in a certain month he repays [4]a loan of Rs.550 and divides the rest in the ratio of 3:1 for family expenses &educational expenses of his children. How much has he spent on each item?

6> In a village the number of males exceeds the number of females by 28. [4]If the ratio of numbers of females and males be 25:26. How many males and females are there in the village?

Group-C-15

1. (for no 1. only draw and calculate, no construction is required) [5]

In a triangle ABC , <ABC=450 <BCA=900

a) Name the third angle and measure it.

b) In this type of triangle :

AB is known as---- -- , AC is known as ----- and BC is known as------

2. Do Any Two [5*2=10]

(i) Construct a triangle ABC , where AB=7cm , AC=10cm , and <ABC=1200 Measure the other two angles and the third side. What type of triangle it is (both according to angles and sides) ?

(ii) Draw a triangle ABC where AB =5 cm, BC= 6 cm and CA= 7 cm. draw another triangle PQR where PQ= 7.5 cm ,QR=9cm and RP=10.5cm.Measure the angles of triangle ABC and triangle PQR and compare The two triangles.

(iii) construct a triangle whose one side is 8 cm and the two angles adjacent to the side are each 450 . Measure the third angle and the length of other two sides. What type of triangle it is?