Integers — MATHS STD 6 — Question

Prepare a frequency table of the following scores obtained by 50 students in a test:

42	51	21	42	37	37	42	49	38	52
7	33	17	44	39	7	14	27	39	42
42	62	37	39	67	51	53	53	59	41
29	38	27	31	54	19	53	51	22	61
42	39	59	47	33	34	16	37	57	43

Akshi and Toshi start running along the rectangular tracks as shown in the figure. Akshi runs along the outer track and completes 5 rounds. Toshi runs along the inner track and completes 7 rounds. Now, they are wondering who ran more. Find out who ran the longer distance.

The final marks in mathematics of 30 students are as follows:

53	61	48	60	78	68	55	100	67	90
75	88	77	37	84	58	60	48	62	56
44	58	52	64	98	59	70	39	50	60

(i) Arrange these marks in the ascending order. 30 to 39 one group, 40 to 49 second group, etc
(ii) What is the highest score?
(iii) What is the lowest score?
(iv) What is the range?
(v) If 40 is the pass mark how many have failed?
(vi) How many have scored 75 or more?
(vii) Which observations between 50 and 60 have not actually appeared?
(viii) How many have scored less than 50?

Draw five triangles and measure their sides. Check in each case, if the sum of the lengths of any two sides is always less than the third side.

Write the first four products of two numbers with difference 4 starting from in the following order: 
1, 2, 3, 4, 5, 6, ........
Identify the pattern in the products and write the next three products.