Q.1: A batman scored the following number of runs in ten innings:
38, 42, 45, 65, 55, 58, 36, 48, 57, 22
a) What is the range of the runs ?
b) Find the mean of the runs scored in ten innings.
Q.2: Find the mean age of your family members.
Q.3: Find the mean of first six multiples of 5.
Q.4: The weight (in kg) of 6 students of a class are as following:
48, 56, 32, 35, 48, 36
a) What is the highest weight ?
b) What is the lowest weight ?
c) What is the range of the data ?
d) What is the mean weight of the students ?
e) How many students have weights more than the mean weight ?
Q.5: Find the mode of the numbers:
5, 6, 8, 5, 6, 7, 1, 2, 8, 7, 6, 5, 7, 9, 5
Q.6: The scores of 11 students in a test (out of 50) are:
45, 50, 25, 45, 28, 42, 41, 26, 33, 25, 24
Find the median and mode of the data.
Q.7: There are 8 cards in a box with numbers 1 to 8 marked on each one of them.
i) What is the probability of drawing a card with number 6 ?
ii) What is the probability of drawing a card with number 4 ?
iii) What is the probability of drawing a card with number 1 ?
Q.8: Convert the following equations in statement form:
i) 9 + 3p = 45
ii) q/2 = 45
Q.9: Write the following statements in the form of equations:
i) If you subtract 7 from 5 times k, then you will get 28
ii) The product of 5 and m is 20
Q.10: Check whether the value given in the brackets is a solution to the given equation or not:
5k + 45 = 100 (k = 6)
Q.11: Solve the following equations:
i) 5q/11 = 20
ii) 8t = (-16)
iii) g – 15 = 3
iv) 56 – 7x = 35
v) 3 (n – 8) = 81
Q.12: Set up equations and solve them to find the unknown numbers in the following cases:
i) Ram thinks of a number. If he adds 12 to it, he will get 38.
ii) Lekha’s age is twice her sister’s age. The sum of ages of both the sisters is 56 years.
iii) In an isosceles triangle, base angles are same. If the vertex angle is 80 degree, then find the base angles of the triangle ?