Integers — Maths STD 6 — Question

Use a pair of compasses and construct the following angles:
15°

The following table gives the route length (in thousand kilometers) of the Indian Railways in some of the years:

Year	1960-61	1970-71	1980-81	1990-91	2000-01
Route length (in thousand kilometres)	56	60	61	74	98

Represent the above data with the help of a bar graph.

Construct an angle of 120° and bisect it.

Write all the factors of the given numbers and list their common factors:
i. 12, 16
ii. 21, 24
iii. 25, 30
iv. 24, 25
v. 56, 72

The following data gives the amount of loans (in crores of rupees) disbursed by a bank during some years:

Year	1992	1993	1994	1995	1996
Loan (in crores of rupees)	28	33	55	55	80

1. Represent the above data with the help of a bar graph.
2. With the help of the bar graph, indicate the year in which amount of loan is not increased over that of the preceding year.

Find the least 5-digit number which is exactly divisible by 20, 25, 30.

Match the following columns on whole numbers:

S.No.	Column A	S.No.	Column B
(a)	137 + 63 = 63 + 137	(i)	Associativity of multiplication
(b)	(16 × 25) is a number	(ii)	Commutativity of multiplication
(c)	365 × 18 = 18 × 365	(iii)	Distributive law of multiplication over addition.
(d)	(d) (86 × 14) × 25 = 86 × (14 × 25)	(iv)	Commutativity of addition
(e)	23 × (80 + 5) = (23 × 80) + (23 × 5)	(v)	Closure property for multiplication

The number of customers who came to a juice centre during one week is given in the table below. Make two different bar graphs to show this data.
(On Y-axis, 1 cm = 10 customers, 1 cm = 5 customers)

Type of juice	Orange	Pineapple	Apple	Mango	Pomegranate
Number of customers	50	30	25	65	10

Add:

1. 8 + 6
2. 9 + (-3)
3. 5 + (-6)
4. – 7 + 2
5. – 8 + 0
6. – 5 + (-2)