B.El.Ed Core Mathematics PYQ

Core Mathematics 

Marks : 35

 Time: 2 Hours

1. a.  Find the 8th and 12th number of the following sequence:

    1,3,6,10,..............

b. a square with the side 4 cm is cut into four equal squares . Whart is the area and perimeter of the small square?

(c) Convert 256 into a babylonian numeral.

7300 3

(d) Rehnuma wants to buy a refrigerator which costs

Rs 28000. She found a 25% discount on an online

shopping site for the same refrigerator. How much

would she pay if she buys the refrigerator from

the online shopping site?

(e) Multiply 625 and 749 using the lattice method.

(f) Akshita scored 65 marks in each of the five

subjects. Find and discuss the mean and median

of her scores justify your answer.

g) Make a sentence that includes cardinal and ordinal 

numbers

Section-B

2. (a)A base 12 numeration svstem uses the following

symbols :

0,1,2.3,4.5,6,7,8,9,A.B

(i)What are the values of B5A and 59A in

the decimal system?

(ii) Write 1256 and 769 in this system

(iii) How many three digit numbers are there

in this system?

(b) Make word problems for the following types:

(i) Complementary Subtraction

(ii) Equal Sharing

3.

(a) Explore the rotational symmetry in the following

shapes, find the order and all angles of rotations

in each shape. (4+3)

(b) Draw two nets of each of the following shapes :

(i) Pentagonal pyramid

(ii) Right circular cylinder

(iii) Cuboid

(a) Identify three patterns in a four column number

chart. (3+2+2)

(b) Write 149 and 285 in the roman numeral system.

(c) The edges of two cubes are in the ratio of 3:4.

Find the ratio of their volumes.

(a) The following figures represent the first three

rectangular numbers (5+2)

(i) Draw the next two rectangular numbers

(ii) How many dots will there be in the 7th

and 15 th rectangular number? Write

formula to represent the nth rectangular

number.

(b) Draw a top and side view of a triangular prism.4

(b) The given graph describes the distance of a car

from a City P at different times when it is traveling

from City P to City Q, which are 350 Km

apart. Study the graph and the answer the

following:

(i) How far did the car go in the first hour?

(ii) Did the car stop for some duration at any

place. Justify your answer.

(iii) When did the car reach City Q?

(a) With suitable examples highlight the difference

between mean, median and mode.

(b) Compare the Egyptian numeration system with

Babylonian numeration system. Identify two

similarities and two differences between them.

(3+4)